# bibtab

bibtype: article
filename: fparith.bib
label: Mackie:2024:RFM
author: Maximilien Mackie
title: Recursion-free modular arithmetic in the lambda-calculus
journal: j-INFO-PROC-LETT
volume: 183
pages: Article 106408
month: jan
monthnumber: 1
year: 2024
CODEN: IFPLAT
DOI: https://doi.org/10.1016/j.ipl.2023.106408
ISSN: 0020-0190 (print), 1872-6119 (electronic) OR 00200190 (print), 18726119 (electronic)
ISSNL: 0020-0190 OR 00200190
bibdate: Tue Sep 19 07:09:51 MDT 2023
bibtimestamp: 2023.09.19 07:09:51 MDT
URL: http://www.sciencedirect.com/science/article/pii/S0020019023000510
fjournal: Information Processing Letters
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00200190
rawauthor: Maximilien Mackie
rawtitle: Recursion-free modular arithmetic in the lambda-calculus
bibsource:
https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/infoproc2020.bib

entry:
@Article{Mackie:2024:RFM,
  author =       "Maximilien Mackie",
  title =        "Recursion-free modular arithmetic in the
                 lambda-calculus",
  journal =      j-INFO-PROC-LETT,
  volume =       "183",
  number =       "??",
  pages =        "Article 106408",
  month =        jan,
  year =         "2024",
  CODEN =        "IFPLAT",
  DOI =          "https://doi.org/10.1016/j.ipl.2023.106408",
  ISSN =         "0020-0190 (print), 1872-6119 (electronic)",
  ISSN-L =       "0020-0190",
  bibdate =      "Tue Sep 19 07:09:51 MDT 2023",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/infoproc2020.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0020019023000510",
  acknowledgement = ack-nhfb,
  fjournal =     "Information Processing Letters",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00200190",
}


bibtype: article
filename: fparith.bib
label: Mikaitis:2024:MMT
author: Mantas Mikaitis
title: Monotonicity of Multi-Term Floating-Point Adders
journal: j-IEEE-TRANS-COMPUT
pages: 1--13
year: 2024
CODEN: ITCOB4
DOI: https://doi.org/10.1109/tc.2024.3371783
ISSN: 2326-3814 OR 23263814
ISSNL: 0018-9340 OR 00189340
bibdate: Mon Mar 11 11:33:29 2024
bibtimestamp: 2024.03.11 11:33:29 ???
fjournal: IEEE Transactions on Computers
keywords: accurate floating-point summation
remark: Online on 11 March 2024, but not yet assigned to an issue.
acknowledgement: ack-nhfb
journalURL: https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12
rawauthor: Mantas Mikaitis
rawtitle: Monotonicity of Multi-Term Floating-Point Adders
entry:
@Article{Mikaitis:2024:MMT,
  author =       "Mantas Mikaitis",
  title =        "Monotonicity of Multi-Term Floating-Point Adders",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "??",
  number =       "??",
  pages =        "1--13",
  month =        "????",
  year =         "2024",
  CODEN =        "ITCOB4",
  DOI =          "https://doi.org/10.1109/tc.2024.3371783",
  ISSN =         "2326-3814",
  ISSN-L =       "0018-9340",
  bibdate =      "Mon Mar 11 11:33:29 2024",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/ieeetranscomput2020.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
  journal-URL =  "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
  keywords =     "accurate floating-point summation",
  remark =       "Online on 11 March 2024, but not yet assigned to an
                 issue.",
}


bibtype: article
filename: fparith.bib
label: Navimipour:2024:NSA
author: Nima Jafari Navimipour and Seyed-Sajad Ahmadpour and Senay Yalcin
title: A nano-scale arithmetic and logic unit using a reversible logic and quantum-dots
journal: j-J-SUPERCOMPUTING
volume: 80
number: 1
pages: 395--412
month: jan
monthnumber: 1
year: 2024
CODEN: JOSUED
DOI: https://doi.org/10.1007/s11227-023-05491-x
ISSN: 0920-8542 (print), 1573-0484 (electronic) OR 09208542 (print), 15730484 (electronic)
ISSNL: 0920-8542 OR 09208542
bibdate: Thu Feb 15 10:23:12 MST 2024
bibtimestamp: 2024.02.15 10:23:12 MST
URL: https://link.springer.com/article/10.1007/s11227-023-05491-x
fjournal: The Journal of Supercomputing
acknowledgement: ack-nhfb
ajournal: J. Supercomputing
journalURL: http://link.springer.com/journal/11227
rawauthor: Nima Jafari Navimipour and Seyed-Sajad Ahmadpour and Senay Yalcin
rawtitle: A nano-scale arithmetic and logic unit using a reversible logic and quantum-dots
bibsource:
https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/jsuper2020.bib

entry:
@Article{Navimipour:2024:NSA,
  author =       "Nima Jafari Navimipour and Seyed-Sajad Ahmadpour and
                 Senay Yalcin",
  title =        "A nano-scale arithmetic and logic unit using a
                 reversible logic and quantum-dots",
  journal =      j-J-SUPERCOMPUTING,
  volume =       "80",
  number =       "1",
  pages =        "395--412",
  month =        jan,
  year =         "2024",
  CODEN =        "JOSUED",
  DOI =          "https://doi.org/10.1007/s11227-023-05491-x",
  ISSN =         "0920-8542 (print), 1573-0484 (electronic)",
  ISSN-L =       "0920-8542",
  bibdate =      "Thu Feb 15 10:23:12 MST 2024",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/jsuper2020.bib",
  URL =          "https://link.springer.com/article/10.1007/s11227-023-05491-x",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Supercomputing",
  fjournal =     "The Journal of Supercomputing",
  journal-URL =  "http://link.springer.com/journal/11227",
}


bibtype: article
filename: fparith.bib
label: Wu:2024:SAM
title: A Survey on Approximate Multiplier Designs for Energy Efficiency: From Algorithms to Circuits
journal: j-TODAES
volume: 29
number: 1
pages: 23:1--23:??
month: jan
monthnumber: 1
year: 2024
CODEN: ATASFO
DOI: https://doi.org/10.1145/3610291
ISSN: 1084-4309 (print), 1557-7309 (electronic) OR 10844309 (print), 15577309 (electronic)
ISSNL: 1084-4309 OR 10844309
bibdate: Mon Jan 15 11:14:18 MST 2024
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/todaes.bib
bibtimestamp: 2024.01.15 11:14:18 MST
URL: https://dl.acm.org/doi/10.1145/3610291
fjournal: ACM Transactions on Design Automation of Electronic Systems
acknowledgement: ack-nhfb
ajournal: ACM Transact. Des. Automat. Electron. Syst.
articleno: 23
journalURL: https://dl.acm.org/loi/todaes
rawtitle: A Survey on Approximate Multiplier Designs for Energy Efficiency: From Algorithms to Circuits
author:
Ying Wu and Chuangtao Chen and Weihua Xiao and Xuan Wang and Chenyi Wen and Jie Han and Xunzhao Yin and Weikang Qian and Cheng Zhuo

abstract:
Given the stringent requirements of energy efficiency for Internet-of-Things edge devices, approximate multipliers, as a basic component of many processors and accelerators, have been constantly proposed and studied for decades, especially in error-resilient applications. The computation error and energy efficiency largely depend on how and where the approximation is introduced into a design. Thus, this article aims to provide a comprehensive review of the approximation techniques in multiplier designs ranging from algorithms and architectures to circuits. We have implemented representative approximate multiplier designs in each category to understand the impact of the design techniques on accuracy and efficiency. The designs can then be effectively deployed in high-level applications, such as machine learning, to gain energy efficiency at the cost of slight accuracy loss.

rawabstract:
Given the stringent requirements of energy efficiency for Internet-of-Things edge devices, approximate multipliers, as a basic component of many processors and accelerators, have been constantly proposed and studied for decades, especially in error-resilient applications. The computation error and energy efficiency largely depend on how and where the approximation is introduced into a design. Thus, this article aims to provide a comprehensive review of the approximation techniques in multiplier designs ranging from algorithms and architectures to circuits. We have implemented representative approximate multiplier designs in each category to understand the impact of the design techniques on accuracy and efficiency. The designs can then be effectively deployed in high-level applications, such as machine learning, to gain energy efficiency at the cost of slight accuracy loss.

rawauthor:
Ying Wu and Chuangtao Chen and Weihua Xiao and Xuan Wang and Chenyi Wen and Jie Han and Xunzhao Yin and Weikang Qian and Cheng Zhuo

entry:
@Article{Wu:2024:SAM,
  author =       "Ying Wu and Chuangtao Chen and Weihua Xiao and Xuan
                 Wang and Chenyi Wen and Jie Han and Xunzhao Yin and
                 Weikang Qian and Cheng Zhuo",
  title =        "A Survey on Approximate Multiplier Designs for Energy
                 Efficiency: From Algorithms to Circuits",
  journal =      j-TODAES,
  volume =       "29",
  number =       "1",
  pages =        "23:1--23:??",
  month =        jan,
  year =         "2024",
  CODEN =        "ATASFO",
  DOI =          "https://doi.org/10.1145/3610291",
  ISSN =         "1084-4309 (print), 1557-7309 (electronic)",
  ISSN-L =       "1084-4309",
  bibdate =      "Mon Jan 15 11:14:18 MST 2024",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/todaes.bib",
  URL =          "https://dl.acm.org/doi/10.1145/3610291",
  abstract =     "Given the stringent requirements of energy efficiency
                 for Internet-of-Things edge devices, approximate
                 multipliers, as a basic component of many processors
                 and accelerators, have been constantly proposed and
                 studied for decades, especially in error-resilient
                 applications. The computation error and energy
                 efficiency largely depend on how and where the
                 approximation is introduced into a design. Thus, this
                 article aims to provide a comprehensive review of the
                 approximation techniques in multiplier designs ranging
                 from algorithms and architectures to circuits. We have
                 implemented representative approximate multiplier
                 designs in each category to understand the impact of
                 the design techniques on accuracy and efficiency. The
                 designs can then be effectively deployed in high-level
                 applications, such as machine learning, to gain energy
                 efficiency at the cost of slight accuracy loss.",
  acknowledgement = ack-nhfb,
  ajournal =     "ACM Transact. Des. Automat. Electron. Syst.",
  articleno =    "23",
  fjournal =     "ACM Transactions on Design Automation of Electronic
                 Systems",
  journal-URL =  "https://dl.acm.org/loi/todaes",
}


bibtype: article
filename: fparith.bib
label: Zhang:2024:HSA
author: Zuoyan Zhang and Jinchen Xu and Jiangwei Hao and Yang Qu and Haotian He and Bei Zhou
title: Hierarchical search algorithm for error detection in floating-point arithmetic expressions
journal: j-J-SUPERCOMPUTING
volume: 80
number: 1
pages: 1183--1205
month: jan
monthnumber: 1
year: 2024
CODEN: JOSUED
DOI: https://doi.org/10.1007/s11227-023-05523-6
ISSN: 0920-8542 (print), 1573-0484 (electronic) OR 09208542 (print), 15730484 (electronic)
ISSNL: 0920-8542 OR 09208542
bibdate: Thu Feb 15 10:23:12 MST 2024
bibtimestamp: 2024.02.15 10:23:12 MST
URL: https://link.springer.com/article/10.1007/s11227-023-05523-6
fjournal: The Journal of Supercomputing
acknowledgement: ack-nhfb
ajournal: J. Supercomputing
journalURL: http://link.springer.com/journal/11227
rawauthor: Zuoyan Zhang and Jinchen Xu and Jiangwei Hao and Yang Qu and Haotian He and Bei Zhou
rawtitle: Hierarchical search algorithm for error detection in floating-point arithmetic expressions
entry:
@Article{Zhang:2024:HSA,
  author =       "Zuoyan Zhang and Jinchen Xu and Jiangwei Hao and Yang
                 Qu and Haotian He and Bei Zhou",
  title =        "Hierarchical search algorithm for error detection in
                 floating-point arithmetic expressions",
  journal =      j-J-SUPERCOMPUTING,
  volume =       "80",
  number =       "1",
  pages =        "1183--1205",
  month =        jan,
  year =         "2024",
  CODEN =        "JOSUED",
  DOI =          "https://doi.org/10.1007/s11227-023-05523-6",
  ISSN =         "0920-8542 (print), 1573-0484 (electronic)",
  ISSN-L =       "0920-8542",
  bibdate =      "Thu Feb 15 10:23:12 MST 2024",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/jsuper2020.bib",
  URL =          "https://link.springer.com/article/10.1007/s11227-023-05523-6",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Supercomputing",
  fjournal =     "The Journal of Supercomputing",
  journal-URL =  "http://link.springer.com/journal/11227",
}


bibtype: misc
filename: fparith.bib
label: Anonymous:20xx:CMP
author: Anonymous
title: The CORE-MATH project
pages: 1183--1205
year: 20xx
bibdate: Mon Dec 04 07:10:51 2023
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2023.12.04 07:10:51 ???
URL: https://core-math.gitlabpages.inria.fr/
acknowledgement: ack-nhfb
howpublished: Web site and code archive
rawauthor: Anonymous
rawtitle: The {CORE-MATH} project
remark:
From the Web site: ``CORE-MATH Mission: provide on-the-shelf high performance open-source mathematical functions with correct rounding that can be integrated into current mathematical libraries (GNU libc, Intel Math Library, AMD Libm, Newlib, OpenLibm, Musl, Apple Libm, llvm-libc, Microsoft libm, CUDA libm, ROCm)''

entry:
@Misc{Anonymous:20xx:CMP,
  author =       "Anonymous",
  title =        "The {CORE-MATH} project",
  howpublished = "Web site and code archive",
  year =         "20xx",
  bibdate =      "Mon Dec 04 07:10:51 2023",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "https://core-math.gitlabpages.inria.fr/",
  acknowledgement = ack-nhfb,
  remark =       "From the Web site: ``CORE-MATH Mission: provide
                 on-the-shelf high performance open-source mathematical
                 functions with correct rounding that can be integrated
                 into current mathematical libraries (GNU libc, Intel
                 Math Library, AMD Libm, Newlib, OpenLibm, Musl, Apple
                 Libm, llvm-libc, Microsoft libm, CUDA libm, ROCm)''",
}


bibtype: misc
filename: fparith.bib
label: QinetiQ:20xx:QFP
author: QinetiQ
title: Quixilica floating point cores
pages: 1183--1205
year: 20xx
bibdate: Sat Oct 9 12:58:32 2010
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2010.10.09 12:58:32 ???
URL: http://www.tekmicro.com/
acknowledgement: ack-nhfb
howpublished: Web document
rawauthor: {QinetiQ}
rawtitle: {Quixilica} floating point cores
entry:
@Misc{QinetiQ:20xx:QFP,
  author =       "{QinetiQ}",
  title =        "{Quixilica} floating point cores",
  howpublished = "Web document",
  year =         "20xx",
  bibdate =      "Sat Oct 9 12:58:32 2010",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.tekmicro.com/",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: Anonymous:1948:PSL
editor: Anonymous
volume: 16
publisher: pub-HARVARD
address: pub-HARVARD:adr
pages: xxix + 302
year: 1948
LCCN: QA75 .S96 1947
bibdate: Mon Nov 4 07:46:57 MST 2002
bibtimestamp: 2002.11.04 07:46:57 MST
series: The Annals of the Computation Laboratory of Harvard University
keywords: calculators --- congresses; electronic digital computers --- congresses
acknowledgement: ack-nhfb
raweditor: Anonymous
booktitle:
Proceedings of a Symposium on Large-Scale Digital Calculating Machinery: Jointly Sponsored by The Navy Department Bureau of Ordnance and Harvard University at The Computation Laboratory 7--10 January 1947

title:
Proceedings of a Symposium on Large-Scale Digital Calculating Machinery: Jointly Sponsored by The Navy Department Bureau of Ordnance and Harvard University at The Computation Laboratory 7--10 January 1947

bibsource:
https://www.math.utah.edu/pub/bibnet/authors/b/babbage-charles.bib; https://www.math.utah.edu/pub/tex/bib/adabooks.bib; https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

remark:
Goldstine's paper is listed in the table of contents, but is absent from the volume. The printed order of a few papers differs from that shown in the table of contents; the order has been corrected in the data in this entry.

TOC:
Program of the Symposium on Large-Scale Digital Calculating Machinery: 7--10 January 1947 First Session: Tuesday, 7 January 1947 1O:00 a.m. Opening Addresses Mr. Edward Reynolds, Administrative Vice President of Harvard University / 3--3 Rear Admiral C. T. Joy, USN, Naval Proving Ground, Dahlgren, Virginia / 4--6 Professor Howard H. Aiken, Chairman, Harvard University / 7--7 11:00 a.m. Inspection of the Computation Laboratory and of Mark II Calculator Second Session: Tuesday, 7 January 1947, 2:00 p.m. Existing Calculating Machines / Professor Willard E. Bleick, Chairman, Post Graduate School, U.S. Naval Academy, Annapolis / Mr. Richard H. Babbage, Montreal, Canada / The Work of Charles Babbage / 13--22 Mr. Richard M. Bloch, Harvard University / Mark I Calculator / 23--30 Dr. Lewis P. Tabor, University of Pennsylvania / Brief Description and Operating Characteristics of the ENIAC / 31--40 Mr. Samuel B. Williams, Consulting Electrical Engineer / Bell Telephone Laboratories' Relay Computing System / 41--68 Mr. Robert V. D. Campbell, Harvard University / Mark II Calculator / 69--79 Third Session: Wednesday, 8 January 1947, 9:30 a.m. The Logic of Large-Scale Calculating Machinery / Professor Vendell H. Furry, Chairman, Harvard University Dr. Alexander W. Wundheiler, Bureau of Ordnance / Problems of Mathematical Analysis Involved in Machine Computations / 83--90 Dr. George R. Stibitz, University of Vermont / The Organization of Large-Scale Calculating Machinery / 91--100 Fourth Session: Wednesday, 8 January 1947, 2:00 p.m. Storage Devices Dr. John H. Curtiss, Chairman / National Bureau of Standards / Dr. T. Kite Sharpless, University of Pennsylvania / Mercury Delay Lines as a Memory Unit / 103--109 Professor Leon Brillouin, Harvard University / Slow Electromagnetic Waves / 110--124 Dr. Jay W. Forrester, Massachusetts Institute of Technology / High-Speed Electrostatic Storage / 125--129 Dr. Benjamin L. Moore, Harvard University / Magnetic and Phosphor Coated Discs / 130--132 Dr. Jan Rajchman, Radio Corporation of America / The Selectron --- A Tube for Selective Electrostatic Storage / 133--145 Dr. Arthur W. Tyler, Eastman Kodak Company / Optical and Photographic Storage Techniques / 146--150 Fifth Session: Thursday, 9 January 1947, 9:30 a.m. Numerical Methods and Suggested Problems for Solution Dr. Mina Rees, Chairman, Office of Naval Research Professor Richard Courant, New York University / Method of Finite Differences for the Solution of Partial Differential Equations / 153--156 Dr. Raymond J. Seeger, Naval Ordnance Laboratory / On Computational Techniques for Certain Problems in Fluid Dynamics / 157--168 Professor Wassily W. Leontief, Harvard University / Computational Problems Arising in Connection with Economic Analysis of interindustrial Relationships / 169--175 Professor Hans A. Rademacher, University of Pennsylvania / On the Accumulation of Errors in Processes of Integration on High-Speed Calculating Machines / 176--187 Professor Howard W. Emmons, Harvard University / Fluid Mechanics Computations / 188--193 Dr. L. S. Dederick, Ballistic Research Laboratory, Aberdeen, Maryland / Firing Tables / 194--199 Sixth Session: Thursday, 9 January 1947, 2:00 p.m. Sequencing, Coding, and Problem Preparation Dr. Julius A. Stratton, Chairman, Massachusetts Institute of Technology Dr. John W. Mauchly, Electronic Control Company / Preparation of Problems for EDVAC-Type Machines / 203--207 Mr. Joseph 0. Harrison, Jr., Harvard University / The Preparation of Problems for the Mark I Calculator / 208--210 Dr. Herman H. Goldstine, Institute for Advanced Study / Coding for Large-Scale Calculating Machinery / ??--?? Seventh Session: Friday, 10 January 1947, 9:30 a.m. Input and Output Devices Professor E. Leon Chaffee, Chairman, Harvard University Mr. Frederick G. Miller, Harvard University / Application of Printing Telegraph Techniques to Large-Scale Calculating Machinery / 213--222 Mr. Otto Kornei, The Brush Development Company / Survey of Magnetic Recording / 223--237 Mr. Harrison W. Fuller, Harvard University / The Numeroscope / 238--247 Dr. Samuel N. Alexander, National Bureau of Standards / Input and Output Devices for Electronic Digital Calculating Machinery / 248--253 Dr. Morris Rubinoff, Harvard University / An Input Device Using Multiple Gates / 254--259 Dr. R. D. O'Neal, Eastman Kodak Company / Photographic Methods of Handling Input and Output Data / 260--266 Mr. C. Bradford Sheppard, Electronic Control Company / Transfer Between External and Internal Memory / 267--273 Eighth Session: Friday, 10 January 1947, 2:00 p.m. Conclusions and Open Discussion Professor Charles C. Bramble, Chairman, Post Graduate School, U.S. Naval Academy, Annapolis / Professor Samuel H. Caldwell, Massachusetts Institute of Technology / Publication, Classification, and Patents / 277--283 Dr. Louis Couffignal (in absentia), Centre National de la Recherche Scientifique / Le Domaine du Calcul Mecanique / 284--296 Dr. Alan T. Waterman, Office of Naval Research / New Vistas in Mathematics / 298--302

rawbooktitle:
Proceedings of a {Symposium on Large-Scale Digital Calculating Machinery}: Jointly Sponsored by {The Navy Department Bureau of Ordnance and Harvard University at The Computation Laboratory 7--10 January 1947}

rawtitle:
Proceedings of a {Symposium on Large-Scale Digital Calculating Machinery}: Jointly Sponsored by {The Navy Department Bureau of Ordnance and Harvard University at The Computation Laboratory 7--10 January 1947}

rawTOC:
Program of the Symposium on Large-Scale Digital Calculating Machinery: 7--10 January 1947 \\ First Session: Tuesday, 7 January 1947 1O:00 a.m. \\ Opening Addresses \\ Mr. Edward Reynolds, Administrative Vice President of Harvard University / 3--3 \\ Rear Admiral C. T. Joy, USN, Naval Proving Ground, Dahlgren, Virginia / 4--6 \\ Professor Howard H. Aiken, Chairman, Harvard University / 7--7 \\ 11:00 a.m. Inspection of the Computation Laboratory and of Mark II Calculator \\ Second Session: Tuesday, 7 January 1947, 2:00 p.m. \\ Existing Calculating Machines / \\ Professor Willard E. Bleick, Chairman, Post Graduate School, U.S. Naval Academy, Annapolis / \\ Mr. Richard H. Babbage, Montreal, Canada / The Work of Charles Babbage / 13--22 \\ Mr. Richard M. Bloch, Harvard University / Mark I Calculator / 23--30 \\ Dr. Lewis P. Tabor, University of Pennsylvania / Brief Description and Operating Characteristics of the ENIAC / 31--40 \\ Mr. Samuel B. Williams, Consulting Electrical Engineer / Bell Telephone Laboratories' Relay Computing System / 41--68 \\ Mr. Robert V. D. Campbell, Harvard University / Mark II Calculator / 69--79 \\ Third Session: Wednesday, 8 January 1947, 9:30 a.m. \\ The Logic of Large-Scale Calculating Machinery / \\ Professor \Vendell H. Furry, Chairman, Harvard University \\ Dr. Alexander W. Wundheiler, Bureau of Ordnance / Problems of Mathematical Analysis Involved in Machine Computations / 83--90 \\ Dr. George R. Stibitz, University of Vermont / The Organization of Large-Scale Calculating Machinery / 91--100 \\ Fourth Session: Wednesday, 8 January 1947, 2:00 p.m. \\ Storage Devices \\ Dr. John H. Curtiss, Chairman / National Bureau of Standards / \\ Dr. T. Kite Sharpless, University of Pennsylvania / Mercury Delay Lines as a Memory Unit / 103--109 \\ Professor Leon Brillouin, Harvard University / Slow Electromagnetic Waves / 110--124 \\ Dr. Jay W. Forrester, Massachusetts Institute of Technology / High-Speed Electrostatic Storage / 125--129 \\ Dr. Benjamin L. Moore, Harvard University / Magnetic and Phosphor Coated Discs / 130--132 \\ Dr. Jan Rajchman, Radio Corporation of America / The Selectron --- A Tube for Selective Electrostatic Storage / 133--145 \\ Dr. Arthur W. Tyler, Eastman Kodak Company / Optical and Photographic Storage Techniques / 146--150 \\ Fifth Session: Thursday, 9 January 1947, 9:30 a.m. \\ Numerical Methods and Suggested Problems for Solution \\ Dr. Mina Rees, Chairman, Office of Naval Research \\ Professor Richard Courant, New York University / Method of Finite Differences for the Solution of Partial Differential Equations / 153--156 \\ Dr. Raymond J. Seeger, Naval Ordnance Laboratory / On Computational Techniques for Certain Problems in Fluid Dynamics / 157--168 \\ Professor Wassily W. Leontief, Harvard University / Computational Problems Arising in Connection with Economic Analysis of interindustrial Relationships / 169--175 \\ Professor Hans A. Rademacher, University of Pennsylvania / On the Accumulation of Errors in Processes of Integration on High-Speed Calculating Machines / 176--187 \\ Professor Howard W. Emmons, Harvard University / Fluid Mechanics Computations / 188--193 \\ Dr. L. S. Dederick, Ballistic Research Laboratory, Aberdeen, Maryland / Firing Tables / 194--199 \\ Sixth Session: Thursday, 9 January 1947, 2:00 p.m. \\ Sequencing, Coding, and Problem Preparation \\ Dr. Julius A. Stratton, Chairman, Massachusetts Institute of Technology \\ Dr. John W. Mauchly, Electronic Control Company / Preparation of Problems for EDVAC-Type Machines / 203--207 \\ Mr. Joseph 0. Harrison, Jr., Harvard University / The Preparation of Problems for the Mark I Calculator / 208--210 \\ Dr. Herman H. Goldstine, Institute for Advanced Study / Coding for Large-Scale Calculating Machinery / ??--?? \\ Seventh Session: Friday, 10 January 1947, 9:30 a.m. \\ Input and Output Devices \\ Professor E. Leon Chaffee, Chairman, Harvard University \\ Mr. Frederick G. Miller, Harvard University / Application of Printing Telegraph Techniques to Large-Scale Calculating Machinery / 213--222 \\ Mr. Otto Kornei, The Brush Development Company / Survey of Magnetic Recording / 223--237 \\ Mr. Harrison W. Fuller, Harvard University / The Numeroscope / 238--247 \\ Dr. Samuel N. Alexander, National Bureau of Standards / Input and Output Devices for Electronic Digital Calculating Machinery / 248--253 \\ Dr. Morris Rubinoff, Harvard University / An Input Device Using Multiple Gates / 254--259 \\ Dr. R. D. O'Neal, Eastman Kodak Company / Photographic Methods of Handling Input and Output Data / 260--266 \\ Mr. C. Bradford Sheppard, Electronic Control Company / Transfer Between External and Internal Memory / 267--273 \\ Eighth Session: Friday, 10 January 1947, 2:00 p.m. \\ Conclusions and Open Discussion \\ Professor Charles C. Bramble, Chairman, Post Graduate School, U.S. Naval Academy, Annapolis / \\ Professor Samuel H. Caldwell, Massachusetts Institute of Technology / Publication, Classification, and Patents / 277--283 \\ Dr. Louis Couffignal (in absentia), Centre National de la Recherche Scientifique / Le Domaine du Calcul M{\'e}canique / 284--296 \\ Dr. Alan T. Waterman, Office of Naval Research / New Vistas in Mathematics / 298--302

entry:
@Proceedings{Anonymous:1948:PSL,
  editor =       "Anonymous",
  booktitle =    "Proceedings of a {Symposium on Large-Scale Digital
                 Calculating Machinery}: Jointly Sponsored by {The Navy
                 Department Bureau of Ordnance and Harvard University at
                 The Computation Laboratory 7--10 January 1947}",
  title =        "Proceedings of a {Symposium on Large-Scale Digital
                 Calculating Machinery}: Jointly Sponsored by {The Navy
                 Department Bureau of Ordnance and Harvard University at
                 The Computation Laboratory 7--10 January 1947}",
  volume =       "16",
  publisher =    pub-HARVARD,
  address =      pub-HARVARD:adr,
  pages =        "xxix + 302",
  year =         "1948",
  LCCN =         "QA75 .S96 1947",
  bibdate =      "Mon Nov 4 07:46:57 MST 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/babbage-charles.bib;
                 https://www.math.utah.edu/pub/tex/bib/adabooks.bib;
                 https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       "The Annals of the Computation Laboratory of Harvard
                 University",
  acknowledgement = ack-nhfb,
  keywords =     "calculators --- congresses; electronic digital
                 computers --- congresses",
  remark =       "Goldstine's paper is listed in the table of contents,
                 but is absent from the volume. The printed order of a
                 few papers differs from that shown in the table of
                 contents; the order has been corrected in the data in
                 this entry.",
  tableofcontents = "Program of the Symposium on Large-Scale Digital
                 Calculating Machinery: 7--10 January 1947 \\
                 First Session: Tuesday, 7 January 1947 1O:00 a.m. \\
                 Opening Addresses \\
                 Mr. Edward Reynolds, Administrative Vice President of
                 Harvard University / 3--3 \\
                 Rear Admiral C. T. Joy, USN, Naval Proving Ground,
                 Dahlgren, Virginia / 4--6 \\
                 Professor Howard H. Aiken, Chairman, Harvard University
                 / 7--7 \\
                 11:00 a.m. Inspection of the Computation Laboratory and
                 of Mark II Calculator \\
                 Second Session: Tuesday, 7 January 1947, 2:00 p.m. \\
                 Existing Calculating Machines / \\
                 Professor Willard E. Bleick, Chairman, Post Graduate
                 School, U.S. Naval Academy, Annapolis / \\
                 Mr. Richard H. Babbage, Montreal, Canada / The Work of
                 Charles Babbage / 13--22 \\
                 Mr. Richard M. Bloch, Harvard University / Mark I
                 Calculator / 23--30 \\
                 Dr. Lewis P. Tabor, University of Pennsylvania / Brief
                 Description and Operating Characteristics of the ENIAC
                 / 31--40 \\
                 Mr. Samuel B. Williams, Consulting Electrical Engineer
                 / Bell Telephone Laboratories' Relay Computing System /
                 41--68 \\
                 Mr. Robert V. D. Campbell, Harvard University / Mark II
                 Calculator / 69--79 \\
                 Third Session: Wednesday, 8 January 1947, 9:30 a.m. \\
                 The Logic of Large-Scale Calculating Machinery / \\
                 Professor \Vendell H. Furry, Chairman, Harvard
                 University \\
                 Dr. Alexander W. Wundheiler, Bureau of Ordnance /
                 Problems of Mathematical Analysis Involved in Machine
                 Computations / 83--90 \\
                 Dr. George R. Stibitz, University of Vermont / The
                 Organization of Large-Scale Calculating Machinery /
                 91--100 \\
                 Fourth Session: Wednesday, 8 January 1947, 2:00 p.m.
                 \\
                 Storage Devices \\
                 Dr. John H. Curtiss, Chairman / National Bureau of
                 Standards / \\
                 Dr. T. Kite Sharpless, University of Pennsylvania /
                 Mercury Delay Lines as a Memory Unit / 103--109 \\
                 Professor Leon Brillouin, Harvard University / Slow
                 Electromagnetic Waves / 110--124 \\
                 Dr. Jay W. Forrester, Massachusetts Institute of
                 Technology / High-Speed Electrostatic Storage /
                 125--129 \\
                 Dr. Benjamin L. Moore, Harvard University / Magnetic
                 and Phosphor Coated Discs / 130--132 \\
                 Dr. Jan Rajchman, Radio Corporation of America / The
                 Selectron --- A Tube for Selective Electrostatic
                 Storage / 133--145 \\
                 Dr. Arthur W. Tyler, Eastman Kodak Company / Optical
                 and Photographic Storage Techniques / 146--150 \\
                 Fifth Session: Thursday, 9 January 1947, 9:30 a.m. \\
                 Numerical Methods and Suggested Problems for Solution
                 \\
                 Dr. Mina Rees, Chairman, Office of Naval Research \\
                 Professor Richard Courant, New York University / Method
                 of Finite Differences for the Solution of Partial
                 Differential Equations / 153--156 \\
                 Dr. Raymond J. Seeger, Naval Ordnance Laboratory / On
                 Computational Techniques for Certain Problems in Fluid
                 Dynamics / 157--168 \\
                 Professor Wassily W. Leontief, Harvard University /
                 Computational Problems Arising in Connection with
                 Economic Analysis of interindustrial Relationships /
                 169--175 \\
                 Professor Hans A. Rademacher, University of
                 Pennsylvania / On the Accumulation of Errors in
                 Processes of Integration on High-Speed Calculating
                 Machines / 176--187 \\
                 Professor Howard W. Emmons, Harvard University / Fluid
                 Mechanics Computations / 188--193 \\
                 Dr. L. S. Dederick, Ballistic Research Laboratory,
                 Aberdeen, Maryland / Firing Tables / 194--199 \\
                 Sixth Session: Thursday, 9 January 1947, 2:00 p.m. \\
                 Sequencing, Coding, and Problem Preparation \\
                 Dr. Julius A. Stratton, Chairman, Massachusetts
                 Institute of Technology \\
                 Dr. John W. Mauchly, Electronic Control Company /
                 Preparation of Problems for EDVAC-Type Machines /
                 203--207 \\
                 Mr. Joseph 0. Harrison, Jr., Harvard University / The
                 Preparation of Problems for the Mark I Calculator /
                 208--210 \\
                 Dr. Herman H. Goldstine, Institute for Advanced Study /
                 Coding for Large-Scale Calculating Machinery / ??--??
                 \\
                 Seventh Session: Friday, 10 January 1947, 9:30 a.m. \\
                 Input and Output Devices \\
                 Professor E. Leon Chaffee, Chairman, Harvard University
                 \\
                 Mr. Frederick G. Miller, Harvard University /
                 Application of Printing Telegraph Techniques to
                 Large-Scale Calculating Machinery / 213--222 \\
                 Mr. Otto Kornei, The Brush Development Company / Survey
                 of Magnetic Recording / 223--237 \\
                 Mr. Harrison W. Fuller, Harvard University / The
                 Numeroscope / 238--247 \\
                 Dr. Samuel N. Alexander, National Bureau of Standards /
                 Input and Output Devices for Electronic Digital
                 Calculating Machinery / 248--253 \\
                 Dr. Morris Rubinoff, Harvard University / An Input
                 Device Using Multiple Gates / 254--259 \\
                 Dr. R. D. O'Neal, Eastman Kodak Company / Photographic
                 Methods of Handling Input and Output Data / 260--266
                 \\
                 Mr. C. Bradford Sheppard, Electronic Control Company /
                 Transfer Between External and Internal Memory /
                 267--273 \\
                 Eighth Session: Friday, 10 January 1947, 2:00 p.m. \\
                 Conclusions and Open Discussion \\
                 Professor Charles C. Bramble, Chairman, Post Graduate
                 School, U.S. Naval Academy, Annapolis / \\
                 Professor Samuel H. Caldwell, Massachusetts Institute
                 of Technology / Publication, Classification, and
                 Patents / 277--283 \\
                 Dr. Louis Couffignal (in absentia), Centre National de
                 la Recherche Scientifique / Le Domaine du Calcul
                 M{\'e}canique / 284--296 \\
                 Dr. Alan T. Waterman, Office of Naval Research / New
                 Vistas in Mathematics / 298--302",
}


bibtype: proceedings
filename: fparith.bib
label: Householder:1951:MCM
editor: Alston S. Householder and George E. Forsythe and Hallett-Hunt Germond
volume: 12
publisher: pub-USGPO
address: pub-USGPO:adr
pages: 49
year: 1951
bibdate: Tue Jan 31 06:36:58 2017
bibtimestamp: 2017.01.31 06:36:58 ???
series: ser-APPL-MATH-SER-NBS
acknowledgement: ack-nhfb
raweditor: Alston S. Householder and George E. Forsythe and Hallett-Hunt Germond
booktitle:
Monte Carlo method. Proceedings of a Symposium Held June 29, 30 and July 1, 1949 in Los Angeles, California

title:
Monte Carlo method. Proceedings of a Symposium Held June 29, 30 and July 1, 1949 in Los Angeles, California

bibsource:
https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/mathcw.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib

TOC:
Preface / iii Foreword / v 1. Showers produced by low-energy electrons and photons / Robert R. Wilson / 1 2. An alignment chart for Monte Carlo solution of the transport problem / B. I. Spinrad, G. H. Goertzel, W. S. Snyder / 4 3. Neutron age calculations in water, graphite, and tissue / Alston S. Householder / 6 4. Methods of probabilities in chains applied to particle transmission through matter / Wendell C. DeMarcus, Lewis Nelson / 9 5. Stochastic methods in statistical mechanics / W. Gilbert King / 12 6. Report on a Monte Carlo calculation performed with the Eniac / Maria Mayer / 19 7. Calculation of shielding properties of water for high energy neutrons / Preston C. Hammer / 21 8. A Monte Carlo technique for estimating particle attenuation in bulk matter / B. A. Shoor, Lewis Nelson, Wendell DeMarcus, Robert L. Echols / 24 9. Estimation of particle transmission by random sampling / Herman Kahn, T. E. Harris / 27 10. History of RAND's random digits --- Summary / W. George Brown / 31 11. The mid-square method of generating digits / Preston C. Hammer / 33 12. Generation and testing of random digits at the National Bureau of Standards, Los Angeles / George E. Forsythe / 34 13. Various techniques used in connection with random digits / John von Neumann / 36 14. Round table discussion / H. H. Germond / 39

rawbooktitle:
{Monte Carlo method. Proceedings of a Symposium Held June 29, 30 and July 1, 1949 in Los Angeles, California}

rawtitle:
{Monte Carlo method. Proceedings of a Symposium Held June 29, 30 and July 1, 1949 in Los Angeles, California}

rawTOC:
Preface / iii \\ Foreword / v \\ 1. Showers produced by low-energy electrons and photons / Robert R. Wilson / 1 \\ 2. An alignment chart for Monte Carlo solution of the transport problem / B. I. Spinrad, G. H. Goertzel, W. S. Snyder / 4 \\ 3. Neutron age calculations in water, graphite, and tissue / Alston S. Householder / 6 \\ 4. Methods of probabilities in chains applied to particle transmission through matter / Wendell C. DeMarcus, Lewis Nelson / 9 \\ 5. Stochastic methods in statistical mechanics / W. Gilbert King / 12 \\ 6. Report on a Monte Carlo calculation performed with the Eniac / Maria Mayer / 19 \\ 7. Calculation of shielding properties of water for high energy neutrons / Preston C. Hammer / 21 \\ 8. A Monte Carlo technique for estimating particle attenuation in bulk matter / B. A. Shoor, Lewis Nelson, Wendell DeMarcus, Robert L. Echols / 24 \\ 9. Estimation of particle transmission by random sampling / Herman Kahn, T. E. Harris / 27 \\ 10. History of RAND's random digits --- Summary / W. George Brown / 31 \\ 11. The mid-square method of generating digits / Preston C. Hammer / 33 \\ 12. Generation and testing of random digits at the National Bureau of Standards, Los Angeles / George E. Forsythe / 34 \\ 13. Various techniques used in connection with random digits / John von Neumann / 36 \\ 14. Round table discussion / H. H. Germond / 39

entry:
@Proceedings{Householder:1951:MCM,
  editor =       "Alston S. Householder and George E. Forsythe and
                 Hallett-Hunt Germond",
  booktitle =    "{Monte Carlo method. Proceedings of a Symposium Held
                 June 29, 30 and July 1, 1949 in Los Angeles,
                 California}",
  title =        "{Monte Carlo method. Proceedings of a Symposium Held
                 June 29, 30 and July 1, 1949 in Los Angeles,
                 California}",
  volume =       "12",
  publisher =    pub-USGPO,
  address =      pub-USGPO:adr,
  pages =        "49",
  year =         "1951",
  bibdate =      "Tue Jan 31 06:36:58 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcw.bib;
                 https://www.math.utah.edu/pub/tex/bib/prng.bib",
  series =       ser-APPL-MATH-SER-NBS,
  acknowledgement = ack-nhfb,
  tableofcontents = "Preface / iii \\
                 Foreword / v \\
                 1. Showers produced by low-energy electrons and photons
                 / Robert R. Wilson / 1 \\
                 2. An alignment chart for Monte Carlo solution of the
                 transport problem / B. I. Spinrad, G. H. Goertzel, W.
                 S. Snyder / 4 \\
                 3. Neutron age calculations in water, graphite, and
                 tissue / Alston S. Householder / 6 \\
                 4. Methods of probabilities in chains applied to
                 particle transmission through matter / Wendell C.
                 DeMarcus, Lewis Nelson / 9 \\
                 5. Stochastic methods in statistical mechanics / W.
                 Gilbert King / 12 \\
                 6. Report on a Monte Carlo calculation performed with
                 the Eniac / Maria Mayer / 19 \\
                 7. Calculation of shielding properties of water for
                 high energy neutrons / Preston C. Hammer / 21 \\
                 8. A Monte Carlo technique for estimating particle
                 attenuation in bulk matter / B. A. Shoor, Lewis Nelson,
                 Wendell DeMarcus, Robert L. Echols / 24 \\
                 9. Estimation of particle transmission by random
                 sampling / Herman Kahn, T. E. Harris / 27 \\
                 10. History of RAND's random digits --- Summary / W.
                 George Brown / 31 \\
                 11. The mid-square method of generating digits /
                 Preston C. Hammer / 33 \\
                 12. Generation and testing of random digits at the
                 National Bureau of Standards, Los Angeles / George E.
                 Forsythe / 34 \\
                 13. Various techniques used in connection with random
                 digits / John von Neumann / 36 \\
                 14. Round table discussion / H. H. Germond / 39",
}


bibtype: book
filename: fparith.bib
label: Alt:1960:AC
editor: Franz L. Alt and Andrew Donald Booth and Robert Emmet Meagher
booktitle: Advances in Computers
title: Advances in Computers
publisher: pub-ACADEMIC
address: pub-ACADEMIC:adr
pages: x + 316
year: 1960
ISSN: 0065-2458 OR 00652458
LCCN: QA76 .A3
bibdate: Sat Nov 29 11:05:31 2003
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2003.11.29 11:05:31 ???
acknowledgement: ack-nhfb
rawbooktitle: Advances in Computers
raweditor: Franz L. Alt and Andrew Donald Booth and Robert Emmet Meagher
rawtitle: Advances in Computers
entry:
@Book{Alt:1960:AC,
  editor =       "Franz L. Alt and Andrew Donald Booth and Robert Emmet
                 Meagher",
  booktitle =    "Advances in Computers",
  title =        "Advances in Computers",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "x + 316",
  year =         "1960",
  ISSN =         "0065-2458",
  LCCN =         "QA76 .A3",
  bibdate =      "Sat Nov 29 11:05:31 2003",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}


bibtype: book
filename: fparith.bib
label: Taub:1961:JNCa
editor: A. H. Taub
booktitle: John von Neumann: Collected Works: Volume I: Logic, Theory of Sets and Quantum Mechanics
title: John von Neumann: Collected Works: Volume I: Logic, Theory of Sets and Quantum Mechanics
publisher: pub-PERGAMON
address: pub-PERGAMON:adr
pages: x + 654
year: 1961
bibdate: Wed Jun 01 16:58:29 2005
bibtimestamp: 2005.06.01 16:58:29 ???
ZMnumber: 0188.00102
acknowledgement: ack-nhfb
rawbooktitle: {John von Neumann}: Collected Works: {Volume I}: {Logic}, Theory of Sets and Quantum Mechanics
raweditor: A. H. Taub
rawtitle: {John von Neumann}: Collected Works: {Volume I}: {Logic}, Theory of Sets and Quantum Mechanics
note:
See also volumes II--VI cite Taub:1961:JNCb,Taub:1961:JNCc,Taub:1962:JNC,Taub:1963:JNCa,Taub:1963:JNCb.

rawnote:
See also volumes II--VI \cite{Taub:1961:JNCb,Taub:1961:JNCc,Taub:1962:JNC,Taub:1963:JNCa,Taub:1963:JNCb}.

entry:
@Book{Taub:1961:JNCa,
  editor =       "A. H. Taub",
  booktitle =    "{John von Neumann}: Collected Works: {Volume I}:
                 {Logic}, Theory of Sets and Quantum Mechanics",
  title =        "{John von Neumann}: Collected Works: {Volume I}:
                 {Logic}, Theory of Sets and Quantum Mechanics",
  publisher =    pub-PERGAMON,
  address =      pub-PERGAMON:adr,
  pages =        "x + 654",
  year =         "1961",
  LCCN =         "????",
  bibdate =      "Wed Jun 01 16:58:29 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "See also volumes II--VI
                 \cite{Taub:1961:JNCb,Taub:1961:JNCc,Taub:1962:JNC,Taub:1963:JNCa,Taub:1963:JNCb}.",
  ZMnumber =     "0188.00102",
  acknowledgement = ack-nhfb,
}


bibtype: book
filename: fparith.bib
label: Taub:1961:JNCb
editor: A. H. Taub
publisher: pub-PERGAMON
address: pub-PERGAMON:adr
pages: x + 568
year: 1961
bibdate: Wed Jun 01 16:58:29 2005
bibtimestamp: 2005.06.01 16:58:29 ???
ZMnumber: 0188.00102
acknowledgement: ack-nhfb
raweditor: A. H. Taub
booktitle:
John von Neumann: Collected Works. Volume II: Operators, Ergodic Theory and Almost Periodic Functions in a Group

title:
John von Neumann: Collected Works. Volume II: Operators, Ergodic Theory and Almost Periodic Functions in a Group

note:
See also volumes I, III--VI cite Taub:1961:JNCa,Taub:1961:JNCc,Taub:1962:JNC,Taub:1963:JNCa,Taub:1963:JNCb.

rawbooktitle:
{John von Neumann}: Collected Works. {Volume II}: {Operators}, Ergodic Theory and Almost Periodic Functions in a Group

rawnote:
See also volumes I, III--VI \cite{Taub:1961:JNCa,Taub:1961:JNCc,Taub:1962:JNC,Taub:1963:JNCa,Taub:1963:JNCb}.

rawtitle:
{John von Neumann}: Collected Works. {Volume II}: {Operators}, Ergodic Theory and Almost Periodic Functions in a Group

entry:
@Book{Taub:1961:JNCb,
  editor =       "A. H. Taub",
  booktitle =    "{John von Neumann}: Collected Works. {Volume II}:
                 {Operators}, Ergodic Theory and Almost Periodic
                 Functions in a Group",
  title =        "{John von Neumann}: Collected Works. {Volume II}:
                 {Operators}, Ergodic Theory and Almost Periodic
                 Functions in a Group",
  publisher =    pub-PERGAMON,
  address =      pub-PERGAMON:adr,
  pages =        "x + 568",
  year =         "1961",
  LCCN =         "????",
  bibdate =      "Wed Jun 01 16:58:29 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "See also volumes I, III--VI
                 \cite{Taub:1961:JNCa,Taub:1961:JNCc,Taub:1962:JNC,Taub:1963:JNCa,Taub:1963:JNCb}.",
  ZMnumber =     "0188.00102",
  acknowledgement = ack-nhfb,
}


bibtype: book
filename: fparith.bib
label: Taub:1961:JNCc
editor: A. H. Taub
booktitle: John von Neumann: Collected Works. Volume III: Rings of Operators
title: John von Neumann: Collected Works. Volume III: Rings of Operators
publisher: pub-PERGAMON
address: pub-PERGAMON:adr
pages: ix + 574
year: 1961 -- 1963
bibdate: Wed Jun 01 16:58:29 2005
bibtimestamp: 2005.06.01 16:58:29 ???
ZMnumber: 0188.00102
acknowledgement: ack-nhfb
rawbooktitle: {John von Neumann}: Collected Works. {Volume III}: Rings of Operators
raweditor: A. H. Taub
rawtitle: {John von Neumann}: Collected Works. {Volume III}: Rings of Operators
note:
See also volumes I--II, IV--VI cite Taub:1961:JNCa,Taub:1961:JNCb,Taub:1962:JNC,Taub:1963:JNCa,Taub:1963:JNCb.

rawnote:
See also volumes I--II, IV--VI \cite{Taub:1961:JNCa,Taub:1961:JNCb,Taub:1962:JNC,Taub:1963:JNCa,Taub:1963:JNCb}.

entry:
@Book{Taub:1961:JNCc,
  editor =       "A. H. Taub",
  booktitle =    "{John von Neumann}: Collected Works. {Volume III}:
                 Rings of Operators",
  title =        "{John von Neumann}: Collected Works. {Volume III}:
                 Rings of Operators",
  publisher =    pub-PERGAMON,
  address =      pub-PERGAMON:adr,
  pages =        "ix + 574",
  year =         "1961--1963",
  LCCN =         "????",
  bibdate =      "Wed Jun 01 16:58:29 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "See also volumes I--II, IV--VI
                 \cite{Taub:1961:JNCa,Taub:1961:JNCb,Taub:1962:JNC,Taub:1963:JNCa,Taub:1963:JNCb}.",
  ZMnumber =     "0188.00102",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: AFIPS:1962:APS
editor: AFIPS
booktitle: AFIPS Proceedings of the Spring Joint Computer Conference 1962
title: AFIPS Proceedings of the Spring Joint Computer Conference 1962
volume: 21
publisher: pub-AFIPS
address: pub-AFIPS:adr
pages: ??--??
year: 1962
bibdate: Wed Feb 14 17:16:30 2007
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2007.02.14 17:16:30 ???
series: AFIPS conference proceedings
acknowledgement: ack-nhfb
key: AFIPS SJCC '62
rawbooktitle: {AFIPS} Proceedings of the {Spring Joint Computer Conference} 1962
raweditor: AFIPS
rawtitle: {AFIPS} Proceedings of the {Spring Joint Computer Conference} 1962
entry:
@Proceedings{AFIPS:1962:APS,
  editor =       "AFIPS",
  key =          "AFIPS SJCC '62",
  booktitle =    "{AFIPS} Proceedings of the {Spring Joint Computer
                 Conference} 1962",
  title =        "{AFIPS} Proceedings of the {Spring Joint Computer
                 Conference} 1962",
  volume =       "21",
  publisher =    pub-AFIPS,
  address =      pub-AFIPS:adr,
  pages =        "??--??",
  year =         "1962",
  LCCN =         "????",
  bibdate =      "Wed Feb 14 17:16:30 2007",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       "AFIPS conference proceedings",
  acknowledgement = ack-nhfb,
}


bibtype: book
filename: fparith.bib
label: Taub:1962:JNC
editor: A. H. Taub
booktitle: John von Neumann: Collected Works. Volume IV: Continuous Geometry and Other Topics
title: John von Neumann: Collected Works. Volume IV: Continuous Geometry and Other Topics
publisher: pub-PERGAMON
address: pub-PERGAMON:adr
pages: x + 516
year: 1962
bibdate: Wed Jun 01 16:58:29 2005
bibtimestamp: 2005.06.01 16:58:29 ???
ZMnumber: 0188.00102
acknowledgement: ack-nhfb
rawbooktitle: {John von Neumann}: Collected Works. {Volume IV}: {Continuous} Geometry and Other Topics
raweditor: A. H. Taub
rawtitle: {John von Neumann}: Collected Works. {Volume IV}: {Continuous} Geometry and Other Topics
note:
See also volumes I--III, V--VI cite Taub:1961:JNCa,Taub:1961:JNCb,Taub:1961:JNCc,Taub:1963:JNCa,Taub:1963:JNCb.

rawnote:
See also volumes I--III, V--VI \cite{Taub:1961:JNCa,Taub:1961:JNCb,Taub:1961:JNCc,Taub:1963:JNCa,Taub:1963:JNCb}.

entry:
@Book{Taub:1962:JNC,
  editor =       "A. H. Taub",
  booktitle =    "{John von Neumann}: Collected Works. {Volume IV}:
                 {Continuous} Geometry and Other Topics",
  title =        "{John von Neumann}: Collected Works. {Volume IV}:
                 {Continuous} Geometry and Other Topics",
  publisher =    pub-PERGAMON,
  address =      pub-PERGAMON:adr,
  pages =        "x + 516",
  year =         "1962",
  LCCN =         "????",
  bibdate =      "Wed Jun 01 16:58:29 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "See also volumes I--III, V--VI
                 \cite{Taub:1961:JNCa,Taub:1961:JNCb,Taub:1961:JNCc,Taub:1963:JNCa,Taub:1963:JNCb}.",
  ZMnumber =     "0188.00102",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: Metropolis:1963:PFS
editor: N. Metropolis and A. H. Taub and John Todd and C. B. Tompkins
publisher: pub-AMS
address: pub-AMS:adr
pages: ix + 396
year: 1963
LCCN: QA297 .S987 1962
bibdate: Tue Mar 20 10:37:16 2007
bibtimestamp: 2007.03.20 10:37:16 ???
acknowledgement: ack-nhfb
raweditor: N. Metropolis and A. H. Taub and John Todd and C. B. Tompkins
booktitle:
Experimental arithmetic, high speed computing and mathematics: Proceedings of the fifteenth Symposium in Applied Mathematics of the American Mathematical Society held in Chicago, Illinois, April 12--14, 1962 and Atlantic City, New Jersey, April 16-19, 1962

title:
Experimental arithmetic, high speed computing and mathematics: Proceedings of the fifteenth Symposium in Applied Mathematics of the American Mathematical Society held in Chicago, Illinois, April 12--14, 1962 and Atlantic City, New Jersey, April 16-19, 1962

rawbooktitle:
{Experimental arithmetic, high speed computing and mathematics: Proceedings of the fifteenth Symposium in Applied Mathematics of the American Mathematical Society held in Chicago, Illinois, April 12--14, 1962 and Atlantic City, New Jersey, April 16-19, 1962}

rawtitle:
{Experimental arithmetic, high speed computing and mathematics: Proceedings of the fifteenth Symposium in Applied Mathematics of the American Mathematical Society held in Chicago, Illinois, April 12--14, 1962 and Atlantic City, New Jersey, April 16-19, 1962}

entry:
@Proceedings{Metropolis:1963:PFS,
  editor =       "N. Metropolis and A. H. Taub and John Todd and C. B.
                 Tompkins",
  booktitle =    "{Experimental arithmetic, high speed computing and
                 mathematics: Proceedings of the fifteenth Symposium in
                 Applied Mathematics of the American Mathematical
                 Society held in Chicago, Illinois, April 12--14, 1962
                 and Atlantic City, New Jersey, April 16-19, 1962}",
  title =        "{Experimental arithmetic, high speed computing and
                 mathematics: Proceedings of the fifteenth Symposium in
                 Applied Mathematics of the American Mathematical
                 Society held in Chicago, Illinois, April 12--14, 1962
                 and Atlantic City, New Jersey, April 16-19, 1962}",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "ix + 396",
  year =         "1963",
  LCCN =         "QA297 .S987 1962",
  bibdate =      "Tue Mar 20 10:37:16 2007",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}


bibtype: book
filename: fparith.bib
label: Taub:1963:JNCa
editor: A. H. Taub
publisher: pub-PERGAMON
address: pub-PERGAMON:adr
pages: ix + 784
year: 1963
bibdate: Wed Jun 01 16:58:29 2005
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2005.06.01 16:58:29 ???
ZMnumber: 0188.00102
acknowledgement: ack-nhfb
raweditor: A. H. Taub
booktitle:
John von Neumann: Collected Works. Volume V: Design of Computers, Theory of Automata and Numerical Analysis

title:
John von Neumann: Collected Works. Volume V: Design of Computers, Theory of Automata and Numerical Analysis

note:
See also volumes I--IV, VI cite Taub:1961:JNCa,Taub:1961:JNCb,Taub:1961:JNCc,Taub:1962:JNC,Taub:1963:JNCb.

rawbooktitle:
{John von Neumann}: Collected Works. {Volume V}: {Design} of Computers, Theory of Automata and Numerical Analysis

rawnote:
See also volumes I--IV, VI \cite{Taub:1961:JNCa,Taub:1961:JNCb,Taub:1961:JNCc,Taub:1962:JNC,Taub:1963:JNCb}.

rawtitle:
{John von Neumann}: Collected Works. {Volume V}: {Design} of Computers, Theory of Automata and Numerical Analysis

entry:
@Book{Taub:1963:JNCa,
  editor =       "A. H. Taub",
  booktitle =    "{John von Neumann}: Collected Works. {Volume V}:
                 {Design} of Computers, Theory of Automata and Numerical
                 Analysis",
  title =        "{John von Neumann}: Collected Works. {Volume V}:
                 {Design} of Computers, Theory of Automata and Numerical
                 Analysis",
  publisher =    pub-PERGAMON,
  address =      pub-PERGAMON:adr,
  pages =        "ix + 784",
  year =         "1963",
  LCCN =         "????",
  bibdate =      "Wed Jun 01 16:58:29 2005",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "See also volumes I--IV, VI
                 \cite{Taub:1961:JNCa,Taub:1961:JNCb,Taub:1961:JNCc,Taub:1962:JNC,Taub:1963:JNCb}.",
  ZMnumber =     "0188.00102",
  acknowledgement = ack-nhfb,
}


bibtype: book
filename: fparith.bib
label: Taub:1963:JNCb
editor: A. H. Taub
publisher: pub-PERGAMON
address: pub-PERGAMON:adr
pages: x + 538
year: 1963
bibdate: Wed Jun 01 16:58:29 2005
bibtimestamp: 2005.06.01 16:58:29 ???
ZMnumber: 0188.00102
acknowledgement: ack-nhfb
raweditor: A. H. Taub
booktitle:
John von Neumann: Collected Works. Volume VI: Theory of Games, Astrophysics, Hydrodynamics and Meteorology

title:
John von Neumann: Collected Works. Volume VI: Theory of Games, Astrophysics, Hydrodynamics and Meteorology

bibsource:
https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib; https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib; https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib; https://www.math.utah.edu/pub/tex/bib/einstein.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/master.bib

note:
See also volumes I--V cite Taub:1961:JNCa,Taub:1961:JNCb,Taub:1961:JNCc,Taub:1962:JNC,Taub:1963:JNCa.

rawbooktitle:
{John von Neumann}: Collected Works. {Volume VI}: {Theory} of Games, Astrophysics, Hydrodynamics and Meteorology

rawnote:
See also volumes I--V \cite{Taub:1961:JNCa,Taub:1961:JNCb,Taub:1961:JNCc,Taub:1962:JNC,Taub:1963:JNCa}.

rawtitle:
{John von Neumann}: Collected Works. {Volume VI}: {Theory} of Games, Astrophysics, Hydrodynamics and Meteorology

entry:
@Book{Taub:1963:JNCb,
  editor =       "A. H. Taub",
  booktitle =    "{John von Neumann}: Collected Works. {Volume VI}:
                 {Theory} of Games, Astrophysics, Hydrodynamics and
                 Meteorology",
  title =        "{John von Neumann}: Collected Works. {Volume VI}:
                 {Theory} of Games, Astrophysics, Hydrodynamics and
                 Meteorology",
  publisher =    pub-PERGAMON,
  address =      pub-PERGAMON:adr,
  pages =        "x + 538",
  year =         "1963",
  LCCN =         "????",
  bibdate =      "Wed Jun 01 16:58:29 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib;
                 https://www.math.utah.edu/pub/tex/bib/einstein.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib",
  note =         "See also volumes I--V
                 \cite{Taub:1961:JNCa,Taub:1961:JNCb,Taub:1961:JNCc,Taub:1962:JNC,Taub:1963:JNCa}.",
  ZMnumber =     "0188.00102",
  acknowledgement = ack-nhfb,
}


bibtype: book
filename: fparith.bib
label: Wilkinson:1963:REA
author: J. H. Wilkinson
booktitle: Rounding Errors in Algebraic Processes
title: Rounding Errors in Algebraic Processes
volume: 32
publisher: pub-HMSO
address: pub-HMSO:adr
pages: vi + 161
year: 1963
ISBN: 0-486-67999-3 (Dover) OR 0486679993 (Dover)
ISBN13: 978-0-486-67999-0 (Dover) OR 9780486679990 (Dover)
LCCN: QA76.5 .W53 1964
MRclass: 65.80
MRnumber: MR0161456 (28 \#4661)
MRreviewer: A. S. Householder
bibdate: Sat Feb 8 10:28:55 2020
bibtimestamp: 2020.02.08 10:28:55 ???
series: Notes on Applied Science
remark: Cited in cite Sterbenz:1974:FPC.
acknowledgement: ack-nhfb
rawauthor: J. H. Wilkinson
rawbooktitle: Rounding Errors in Algebraic Processes
rawtitle: Rounding Errors in Algebraic Processes
note:
Also published by Prentice-Hall, Englewood Cliffs, NJ, USA, 1964, translated into Polish as em Bledy Zaokraglen w Procesach Algebraicznych by PWW, Warsaw, Poland, 1967 and translated into German as em Rundungsfehler by Springer-Verlag, Berlin, Germany, 1969. Reprinted by Dover Publications, New York, 1994.

TOC:
1. The Fundamental Arithmetic Operations Digital computation / 1 Fixed-point and floating-point computation / 1 Notational conventions / 2 Rounding errors in fixed-point computation / 4 Fixed-point accumulation of inner-products / 6 Rounding errors in floating-point computation / 7 Round-off with single-precision accumulator / 11 Comparison of fixed-point and floating-point computation / 14 Common floating-point operations / 16 More precise bounds / 19 Floating-point accumulation of sums and inner-products / 23 Statistical error bounds / 25 Block-floating vectors and matrices / 26 Fundamental limitations oft-digit computation / 27 Ill-conditioned problems / 28 Condition numbers / 29 Rounding errors in the computation / 30 Additional comments / 33 2. Computations Involving Polynomials Evaluation of power series / 34 Fixed-point representation / 34 Floating-point representation / 36 Calculation of zeros of functions defined by power series / 37 Polynomials with arbitrary coefficients / 38 Condition of a polynomial with respect to the computation of its zeros / 38 Some typical distributions of zeros / 41 Linear distributions of zeros / 41 Geometric distribution / 44 Chebyshev polynomial / 46 Significance of the condition of the zeros of polynomials 4 / 7 Determination of the zeros / 49 Iterative methods / 52 Effect of rounding errors on Newton's process / 53 Simple examples / 54 Polynomial deflation / 55 Analysis of errors inherent in deflation / 56 Examples of deflation / 59 Deflation of ill-conditioned polynomials / 62 General comments on iteration and deflation / 64 Purification in the original polynomial / 65 Other iterative methods / 66 The root-squaring process / 67 Forward error analysis of root-squaring / 69 Relative error in computed coefficients / 71 Numerical example / 72 Deterioration of condition / 74 General comments on the computation of zeros of polynomials / 76 Additional comments / 78 3. Matrix Computations Introduction / 79 Vector and matrix norms / 80 Error analysis of simple matrix operations / 82 Matrix multiplication / 83 Matrix operations in block-floating arithmetic / 85 Matrices which are not infinity row standardized / 85 Orthogonalization of vectors / 86 Numerical example / 87 General case / 89 Solution of equations and matrix inversion / 91 Rounding of matrix of coefficients / 93 Error analysis of Gaussian elimination / 94 Computational equations / 95 Floating-point bounds / 96 Gaussian elimination in fixed-point / 99 Determinant evaluation / 99 Solution of a triangular set of equations using standard floating-point arithmetic / 99 Accuracy of computed solution / 102 Solution of triangular set of equations with floating-point accumulation of inner-products / 103 Inversion of a triangular matrix / 104 High accuracy of solutions of triangular equations / 105 Solution of a general set of equations / 107 Inversion of a general matrix / 109 Left-handed and right-handed inverses / 110 Numerical example / 111 Comments on example / 113 Compact methods of triangular decomposition / 114 Triangular decomposition with partial pivoting / 115 Positive definite matrix / 117 Numerical example / 118 Comments on the solution / 119 Residual corresponding to block-floating solution / 120 Iterative refinement of the solution / 121 Practical procedure / 122 Analysis of the practical procedure / 124 Assessment of accuracy of the computed solution / 126 The use of an estimate for $||A^-1||$ / 126 Assessment of a computed inverse / 127 Use of the approximate inverse to solve equations / 128 Iterative procedure based on use of the approximate inverse / 130 Numerical example / 131 Sensitivity of the eigenvalues of a matrix / 134 Sensitivity of individual eigenvalues / 137 Example of ill-conditioned eigenvalues / 138 A posteriori estimates for a computed eigenvalue and eigenvector of a real symmetric matrix / 139 Calculation of the eigenvectors of a symmetric tri-diagonal matrix / 142 Effect of rounding errors / 143 Calculation of the eigenvalues of a lower Hessenberg matrix / 147 Calculation of $f(lambda )$ using floating-point accumulation / 149 Perturbation of the eigenvalues / 150 Numerical example / 151 Additional comments / 155 Bibliography / 157 Index / 159

rawnote:
Also published by Prentice-Hall, Englewood Cliffs, NJ, USA, 1964, translated into Polish as {\em Bledy Zaokragle{\'n} w Procesach Algebraicznych\/} by PWW, Warsaw, Poland, 1967 and translated into German as {\em Rundungsfehler\/} by Springer-Verlag, Berlin, Germany, 1969. Reprinted by Dover Publications, New York, 1994.

rawTOC:
1. The Fundamental Arithmetic Operations \\ Digital computation / 1 \\ Fixed-point and floating-point computation / 1 \\ Notational conventions / 2 \\ Rounding errors in fixed-point computation / 4 \\ Fixed-point accumulation of inner-products / 6 \\ Rounding errors in floating-point computation / 7 \\ Round-off with single-precision accumulator / 11 \\ Comparison of fixed-point and floating-point computation / 14 \\ Common floating-point operations / 16 \\ More precise bounds / 19 \\ Floating-point accumulation of sums and inner-products / 23 \\ Statistical error bounds / 25 \\ Block-floating vectors and matrices / 26 \\ Fundamental limitations oft-digit computation / 27 \\ Ill-conditioned problems / 28 \\ Condition numbers / 29 \\ Rounding errors in the computation / 30 \\ Additional comments / 33 \\ 2. Computations Involving Polynomials \\ Evaluation of power series / 34 \\ Fixed-point representation / 34 \\ Floating-point representation / 36 \\ Calculation of zeros of functions defined by power series / 37 \\ Polynomials with arbitrary coefficients / 38 \\ Condition of a polynomial with respect to the computation of its zeros / 38 \\ Some typical distributions of zeros / 41 \\ Linear distributions of zeros / 41 \\ Geometric distribution / 44 \\ Chebyshev polynomial / 46 \\ Significance of the condition of the zeros of polynomials 4 / 7 \\ Determination of the zeros / 49 \\ Iterative methods / 52 \\ Effect of rounding errors on Newton's process / 53 \\ Simple examples / 54 \\ Polynomial deflation / 55 \\ Analysis of errors inherent in deflation / 56 \\ Examples of deflation / 59 \\ Deflation of ill-conditioned polynomials / 62 \\ General comments on iteration and deflation / 64 \\ Purification in the original polynomial / 65 \\ Other iterative methods / 66 \\ The root-squaring process / 67 \\ Forward error analysis of root-squaring / 69 \\ Relative error in computed coefficients / 71 \\ Numerical example / 72 \\ Deterioration of condition / 74 \\ General comments on the computation of zeros of polynomials / 76 \\ Additional comments / 78 \\ 3. Matrix Computations \\ Introduction / 79 \\ Vector and matrix norms / 80 \\ Error analysis of simple matrix operations / 82 \\ Matrix multiplication / 83 \\ Matrix operations in block-floating arithmetic / 85 \\ Matrices which are not infinity row standardized / 85 \\ Orthogonalization of vectors / 86 \\ Numerical example / 87 \\ General case / 89 \\ Solution of equations and matrix inversion / 91 \\ Rounding of matrix of coefficients / 93 \\ Error analysis of Gaussian elimination / 94 \\ Computational equations / 95 \\ Floating-point bounds / 96 \\ Gaussian elimination in fixed-point / 99 \\ Determinant evaluation / 99 \\ Solution of a triangular set of equations using standard floating-point arithmetic / 99 \\ Accuracy of computed solution / 102 \\ Solution of triangular set of equations with floating-point accumulation of inner-products / 103 \\ Inversion of a triangular matrix / 104 \\ High accuracy of solutions of triangular equations / 105 \\ Solution of a general set of equations / 107 \\ Inversion of a general matrix / 109 \\ Left-handed and right-handed inverses / 110 \\ Numerical example / 111 \\ Comments on example / 113 \\ Compact methods of triangular decomposition / 114 \\ Triangular decomposition with partial pivoting / 115 \\ Positive definite matrix / 117 \\ Numerical example / 118 \\ Comments on the solution / 119 \\ Residual corresponding to block-floating solution / 120 \\ Iterative refinement of the solution / 121 \\ Practical procedure / 122 \\ Analysis of the practical procedure / 124 \\ Assessment of accuracy of the computed solution / 126 \\ The use of an estimate for $||A^{-1}||$ / 126 \\ Assessment of a computed inverse / 127 \\ Use of the approximate inverse to solve equations / 128 \\ Iterative procedure based on use of the approximate inverse / 130 \\ Numerical example / 131 \\ Sensitivity of the eigenvalues of a matrix / 134 \\ Sensitivity of individual eigenvalues / 137 \\ Example of ill-conditioned eigenvalues / 138 \\ A posteriori estimates for a computed eigenvalue and eigenvector of a real symmetric matrix / 139 \\ Calculation of the eigenvectors of a symmetric tri-diagonal matrix / 142 \\ Effect of rounding errors / 143 \\ Calculation of the eigenvalues of a lower Hessenberg matrix / 147 \\ Calculation of $f(\lambda)$ using floating-point accumulation / 149 \\ Perturbation of the eigenvalues / 150 \\ Numerical example / 151 \\ Additional comments / 155 \\ Bibliography / 157 \\ Index / 159

entry:
@Book{Wilkinson:1963:REA,
  author =       "J. H. Wilkinson",
  booktitle =    "Rounding Errors in Algebraic Processes",
  title =        "Rounding Errors in Algebraic Processes",
  volume =       "32",
  publisher =    pub-HMSO,
  address =      pub-HMSO:adr,
  pages =        "vi + 161",
  year =         "1963",
  ISBN =         "0-486-67999-3 (Dover)",
  ISBN-13 =      "978-0-486-67999-0 (Dover)",
  LCCN =         "QA76.5 .W53 1964",
  MRclass =      "65.80",
  MRnumber =     "MR0161456 (28 \#4661)",
  MRreviewer =   "A. S. Householder",
  bibdate =      "Sat Feb 8 10:28:55 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "Also published by Prentice-Hall, Englewood Cliffs, NJ,
                 USA, 1964, translated into Polish as {\em Bledy
                 Zaokragle{\'n} w Procesach Algebraicznych\/} by PWW,
                 Warsaw, Poland, 1967 and translated into German as {\em
                 Rundungsfehler\/} by Springer-Verlag, Berlin, Germany,
                 1969. Reprinted by Dover Publications, New York,
                 1994.",
  series =       "Notes on Applied Science",
  acknowledgement = ack-nhfb,
  remark =       "Cited in \cite{Sterbenz:1974:FPC}.",
  tableofcontents = "1. The Fundamental Arithmetic Operations \\
                 Digital computation / 1 \\
                 Fixed-point and floating-point computation / 1 \\
                 Notational conventions / 2 \\
                 Rounding errors in fixed-point computation / 4 \\
                 Fixed-point accumulation of inner-products / 6 \\
                 Rounding errors in floating-point computation / 7 \\
                 Round-off with single-precision accumulator / 11 \\
                 Comparison of fixed-point and floating-point
                 computation / 14 \\
                 Common floating-point operations / 16 \\
                 More precise bounds / 19 \\
                 Floating-point accumulation of sums and inner-products
                 / 23 \\
                 Statistical error bounds / 25 \\
                 Block-floating vectors and matrices / 26 \\
                 Fundamental limitations oft-digit computation / 27 \\
                 Ill-conditioned problems / 28 \\
                 Condition numbers / 29 \\
                 Rounding errors in the computation / 30 \\
                 Additional comments / 33 \\
                 2. Computations Involving Polynomials \\
                 Evaluation of power series / 34 \\
                 Fixed-point representation / 34 \\
                 Floating-point representation / 36 \\
                 Calculation of zeros of functions defined by power
                 series / 37 \\
                 Polynomials with arbitrary coefficients / 38 \\
                 Condition of a polynomial with respect to the
                 computation of its zeros / 38 \\
                 Some typical distributions of zeros / 41 \\
                 Linear distributions of zeros / 41 \\
                 Geometric distribution / 44 \\
                 Chebyshev polynomial / 46 \\
                 Significance of the condition of the zeros of
                 polynomials 4 / 7 \\
                 Determination of the zeros / 49 \\
                 Iterative methods / 52 \\
                 Effect of rounding errors on Newton's process / 53 \\
                 Simple examples / 54 \\
                 Polynomial deflation / 55 \\
                 Analysis of errors inherent in deflation / 56 \\
                 Examples of deflation / 59 \\
                 Deflation of ill-conditioned polynomials / 62 \\
                 General comments on iteration and deflation / 64 \\
                 Purification in the original polynomial / 65 \\
                 Other iterative methods / 66 \\
                 The root-squaring process / 67 \\
                 Forward error analysis of root-squaring / 69 \\
                 Relative error in computed coefficients / 71 \\
                 Numerical example / 72 \\
                 Deterioration of condition / 74 \\
                 General comments on the computation of zeros of
                 polynomials / 76 \\
                 Additional comments / 78 \\
                 3. Matrix Computations \\
                 Introduction / 79 \\
                 Vector and matrix norms / 80 \\
                 Error analysis of simple matrix operations / 82 \\
                 Matrix multiplication / 83 \\
                 Matrix operations in block-floating arithmetic / 85 \\
                 Matrices which are not infinity row standardized / 85
                 \\
                 Orthogonalization of vectors / 86 \\
                 Numerical example / 87 \\
                 General case / 89 \\
                 Solution of equations and matrix inversion / 91 \\
                 Rounding of matrix of coefficients / 93 \\
                 Error analysis of Gaussian elimination / 94 \\
                 Computational equations / 95 \\
                 Floating-point bounds / 96 \\
                 Gaussian elimination in fixed-point / 99 \\
                 Determinant evaluation / 99 \\
                 Solution of a triangular set of equations using
                 standard floating-point arithmetic / 99 \\
                 Accuracy of computed solution / 102 \\
                 Solution of triangular set of equations with
                 floating-point accumulation of inner-products / 103 \\
                 Inversion of a triangular matrix / 104 \\
                 High accuracy of solutions of triangular equations /
                 105 \\
                 Solution of a general set of equations / 107 \\
                 Inversion of a general matrix / 109 \\
                 Left-handed and right-handed inverses / 110 \\
                 Numerical example / 111 \\
                 Comments on example / 113 \\
                 Compact methods of triangular decomposition / 114 \\
                 Triangular decomposition with partial pivoting / 115
                 \\
                 Positive definite matrix / 117 \\
                 Numerical example / 118 \\
                 Comments on the solution / 119 \\
                 Residual corresponding to block-floating solution / 120
                 \\
                 Iterative refinement of the solution / 121 \\
                 Practical procedure / 122 \\
                 Analysis of the practical procedure / 124 \\
                 Assessment of accuracy of the computed solution / 126
                 \\
                 The use of an estimate for $||A^{-1}||$ / 126 \\
                 Assessment of a computed inverse / 127 \\
                 Use of the approximate inverse to solve equations / 128
                 \\
                 Iterative procedure based on use of the approximate
                 inverse / 130 \\
                 Numerical example / 131 \\
                 Sensitivity of the eigenvalues of a matrix / 134 \\
                 Sensitivity of individual eigenvalues / 137 \\
                 Example of ill-conditioned eigenvalues / 138 \\
                 A posteriori estimates for a computed eigenvalue and
                 eigenvector of a real symmetric matrix / 139 \\
                 Calculation of the eigenvectors of a symmetric
                 tri-diagonal matrix / 142 \\
                 Effect of rounding errors / 143 \\
                 Calculation of the eigenvalues of a lower Hessenberg
                 matrix / 147 \\
                 Calculation of $f(\lambda)$ using floating-point
                 accumulation / 149 \\
                 Perturbation of the eigenvalues / 150 \\
                 Numerical example / 151 \\
                 Additional comments / 155 \\
                 Bibliography / 157 \\
                 Index / 159",
}


bibtype: proceedings
filename: fparith.bib
label: AFIPS:1965:FJC
booktitle: 1965 Fall Joint Computer Conference, 18--20 November, 1965, Las Vegas, Nevada
title: 1965 Fall Joint Computer Conference, 18--20 November, 1965, Las Vegas, Nevada
volume: 27
publisher: pub-AFIPS
address: pub-AFIPS:adr
year: 1965
bibdate: Fri Sep 16 10:42:51 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.16 10:42:51 ???
series: AFIPS conference proceedings
acknowledgement: ack-nj
key: AFIPS FJCC '65
rawbooktitle: {1965 Fall Joint Computer Conference, 18--20 November, 1965, Las Vegas, Nevada}
rawtitle: {1965 Fall Joint Computer Conference, 18--20 November, 1965, Las Vegas, Nevada}
entry:
@Proceedings{AFIPS:1965:FJC,
  key =          "AFIPS FJCC '65",
  booktitle =    "{1965 Fall Joint Computer Conference, 18--20 November,
                 1965, Las Vegas, Nevada}",
  title =        "{1965 Fall Joint Computer Conference, 18--20 November,
                 1965, Las Vegas, Nevada}",
  volume =       "27",
  publisher =    pub-AFIPS,
  address =      pub-AFIPS:adr,
  pages =        "????",
  year =         "1965",
  LCCN =         "????",
  bibdate =      "Fri Sep 16 10:42:51 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       "AFIPS conference proceedings",
  acknowledgement = ack-nj,
}


bibtype: book
filename: fparith.bib
label: Alt:1965:AC
editor: Franz L. Alt and Morris Rubinoff and Andrew Donald Booth and Robert Emmet Meagher
booktitle: Advances in Computers
title: Advances in Computers
publisher: pub-ACADEMIC
address: pub-ACADEMIC:adr
pages: xiv + 310
year: 1965
ISSN: 0065-2458 OR 00652458
LCCN: QA76 .A3
bibdate: Sat Nov 29 11:06:34 2003
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2003.11.29 11:06:34 ???
acknowledgement: ack-nhfb
rawbooktitle: Advances in Computers
raweditor: Franz L. Alt and Morris Rubinoff and Andrew Donald Booth and Robert Emmet Meagher
rawtitle: Advances in Computers
entry:
@Book{Alt:1965:AC,
  editor =       "Franz L. Alt and Morris Rubinoff and Andrew Donald
                 Booth and Robert Emmet Meagher",
  booktitle =    "Advances in Computers",
  title =        "Advances in Computers",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xiv + 310",
  year =         "1965",
  ISSN =         "0065-2458",
  LCCN =         "QA76 .A3",
  bibdate =      "Sat Nov 29 11:06:34 2003",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: Kalenich:1965:IPP
editor: Wayne A. Kalenich
booktitle: Information processing 1965: proceedings of IFIP congress 65; New York City May 24--29, 1965
title: Information processing 1965: proceedings of IFIP congress 65; New York City May 24--29, 1965
publisher: Spartan Books
address: Washington, DC, USA
pages: 648
year: 1965
bibdate: Tue Mar 20 10:47:07 2007
bibtimestamp: 2007.03.20 10:47:07 ???
note: Two volumes.
acknowledgement: ack-nhfb
rawbooktitle: {Information processing 1965: proceedings of IFIP congress 65; New York City May 24--29, 1965}
raweditor: Wayne A. Kalenich
rawnote: Two volumes.
rawtitle: {Information processing 1965: proceedings of IFIP congress 65; New York City May 24--29, 1965}
remark:
Third international conference on information processing, organized by the International Federation for Information Processing.

entry:
@Proceedings{Kalenich:1965:IPP,
  editor =       "Wayne A. Kalenich",
  booktitle =    "{Information processing 1965: proceedings of IFIP
                 congress 65; New York City May 24--29, 1965}",
  title =        "{Information processing 1965: proceedings of IFIP
                 congress 65; New York City May 24--29, 1965}",
  publisher =    "Spartan Books",
  address =      "Washington, DC, USA",
  pages =        "648",
  year =         "1965",
  LCCN =         "????",
  bibdate =      "Tue Mar 20 10:47:07 2007",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "Two volumes.",
  acknowledgement = ack-nhfb,
  remark =       "Third international conference on information
                 processing, organized by the International Federation
                 for Information Processing.",
}


bibtype: proceedings
filename: fparith.bib
label: Rall:1965:EDCa
editor: L. B. Rall
booktitle: Error in Digital Computation
title: Error in Digital Computation
volume: 1
publisher: pub-WILEY
address: pub-WILEY:adr
pages: 338
year: 1965
MRclass: 65.80
MRnumber: MR0189284 (32 \#6711)
MRreviewer: J. M. Ortega
bibdate: Tue Aug 15 18:20:34 MDT 1995
bibtimestamp: 1995.08.15 18:20:34 MDT
acknowledgement: ack-nhfb
rawbooktitle: Error in Digital Computation
raweditor: L. B. Rall
rawtitle: Error in Digital Computation
bibsource:
https://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

note:
Proceedings of an advanced seminar conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, October 5--7, 1964.

TOC:
1. The problem of error in digital computation / Todd 2. Techniques for automatic error monitoring and control / Ashenhurst 3. The automatic analysis and control of error in digital computing based on the use of interval numbers / Moore 4. Error in digital solution of linear problems / Albasiny 5. The propagation of error in the digital integration of ordinary differential equations / Henrici 6. Bibliography on error in digital computation (114 pp.)

rawnote:
Proceedings of an advanced seminar conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, October 5--7, 1964.

rawTOC:
1. The problem of error in digital computation / Todd \\ 2. Techniques for automatic error monitoring and control / Ashenhurst \\ 3. The automatic analysis and control of error in digital computing based on the use of interval numbers / Moore \\ 4. Error in digital solution of linear problems / Albasiny \\ 5. The propagation of error in the digital integration of ordinary differential equations / Henrici \\ 6. Bibliography on error in digital computation (114 pp.)

entry:
@Proceedings{Rall:1965:EDCa,
  editor =       "L. B. Rall",
  booktitle =    "Error in Digital Computation",
  title =        "Error in Digital Computation",
  volume =       "1",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "338",
  year =         "1965",
  MRclass =      "65.80",
  MRnumber =     "MR0189284 (32 \#6711)",
  MRreviewer =   "J. M. Ortega",
  bibdate =      "Tue Aug 15 18:20:34 MDT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "Proceedings of an advanced seminar conducted by the
                 Mathematics Research Center, United States Army, at the
                 University of Wisconsin, Madison, October 5--7, 1964.",
  acknowledgement = ack-nhfb,
  tableofcontents = "1. The problem of error in digital computation /
                 Todd \\
                 2. Techniques for automatic error monitoring and
                 control / Ashenhurst \\
                 3. The automatic analysis and control of error in
                 digital computing based on the use of interval numbers
                 / Moore \\
                 4. Error in digital solution of linear problems /
                 Albasiny \\
                 5. The propagation of error in the digital integration
                 of ordinary differential equations / Henrici \\
                 6. Bibliography on error in digital computation (114
                 pp.)",
}


bibtype: proceedings
filename: fparith.bib
label: Rall:1965:EDCb
editor: L. B. Rall
booktitle: Error in Digital Computation
title: Error in Digital Computation
volume: 2
publisher: pub-WILEY
address: pub-WILEY:adr
pages: 288
year: 1965
MRclass: 65.80
MRnumber: MR0189284 (32 \#6711)
MRreviewer: J. M. Ortega
bibdate: Tue Aug 15 18:20:34 MDT 1995
bibtimestamp: 1995.08.15 18:20:34 MDT
acknowledgement: ack-nhfb
rawbooktitle: Error in Digital Computation
raweditor: L. B. Rall
rawtitle: Error in Digital Computation
bibsource:
https://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

note:
Proceedings of an advanced seminar conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, October 5--7, 1964.

TOC:
1. Experimental investigation of unnormalize1 arithmetic / Ashenhurst 2. Error bounds for computations with continued fractions / Henrici 3. Error bounds for asymptotic expansions of special functions in the complex plane / Olver 4. Error analysis for transformations based on the use of matrices of the form $I -2 w w^H$. / Wilkinson 5. Automatic local coordinate transformations to reduce the growth of error bounds in interval computation of solutions of ordinary differential equations / Moore 6. Differential inequalities and error bounds / Schroder 7. Discrete representations of partial differential operators / Young and Dauwalder 8. Upper and lower bounds for solutions of integral equations / Brown 9. Convergence ana error bounds for approximate solutions of integral and operator equations / Anselone 10. Applications of functional analysis to error estimation / Collatz 11. Error in the solution of linear programming problems / Wolfe

rawTOC:
1. Experimental investigation of unnormalize1 arithmetic / Ashenhurst \\ 2. Error bounds for computations with continued fractions / Henrici \\ 3. Error bounds for asymptotic expansions of special functions in the complex plane / Olver \\ 4. Error analysis for transformations based on the use of matrices of the form $I -2 w w^H$. / Wilkinson \\ 5. Automatic local coordinate transformations to reduce the growth of error bounds in interval computation of solutions of ordinary differential equations / Moore \\ 6. Differential inequalities and error bounds / Schroder \\ 7. Discrete representations of partial differential operators / Young and Dauwalder \\ 8. Upper and lower bounds for solutions of integral equations / Brown \\ 9. Convergence ana error bounds for approximate solutions of integral and operator equations / Anselone \\ 10. Applications of functional analysis to error estimation / Collatz \\ 11. Error in the solution of linear programming problems / Wolfe

entry:
@Proceedings{Rall:1965:EDCb,
  editor =       "L. B. Rall",
  booktitle =    "Error in Digital Computation",
  title =        "Error in Digital Computation",
  volume =       "2",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "288",
  year =         "1965",
  MRclass =      "65.80",
  MRnumber =     "MR0189284 (32 \#6711)",
  MRreviewer =   "J. M. Ortega",
  bibdate =      "Tue Aug 15 18:20:34 MDT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "Proceedings of an advanced seminar conducted by the
                 Mathematics Research Center, United States Army, at the
                 University of Wisconsin, Madison, October 5--7, 1964.",
  acknowledgement = ack-nhfb,
  tableofcontents = "1. Experimental investigation of unnormalize1
                 arithmetic / Ashenhurst \\
                 2. Error bounds for computations with continued
                 fractions / Henrici \\
                 3. Error bounds for asymptotic expansions of special
                 functions in the complex plane / Olver \\
                 4. Error analysis for transformations based on the use
                 of matrices of the form $I -2 w w^H$. / Wilkinson \\
                 5. Automatic local coordinate transformations to reduce
                 the growth of error bounds in interval computation of
                 solutions of ordinary differential equations / Moore
                 \\
                 6. Differential inequalities and error bounds /
                 Schroder \\
                 7. Discrete representations of partial differential
                 operators / Young and Dauwalder \\
                 8. Upper and lower bounds for solutions of integral
                 equations / Brown \\
                 9. Convergence ana error bounds for approximate
                 solutions of integral and operator equations / Anselone
                 \\
                 10. Applications of functional analysis to error
                 estimation / Collatz \\
                 11. Error in the solution of linear programming
                 problems / Wolfe",
}


bibtype: book
filename: fparith.bib
label: Wilkinson:1965:AEP
author: J. H. Wilkinson
booktitle: The Algebraic Eigenvalue Problem
title: The Algebraic Eigenvalue Problem
publisher: pub-OXFORD
address: pub-OXFORD:adr
pages: xviii + 662
year: 1965
ISBN: 0-19-853403-5 OR 0198534035
ISBN13: 978-0-19-853403-7 OR 9780198534037
LCCN: QA218 .W686 1965
MRclass: 65.40
MRnumber: MR0184422 (32 \#1894)
MRreviewer: A. S. Householder
bibdate: Tue Aug 15 18:20:34 MDT 1995
bibtimestamp: 1995.08.15 18:20:34 MDT
acknowledgement: ack-nhfb
rawauthor: J. H. Wilkinson
rawbooktitle: The Algebraic Eigenvalue Problem
rawtitle: The Algebraic Eigenvalue Problem
bibsource:
https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/master.bib

TOC:
1. Theoretical Background Introduction / 1 Definitions / 2 Eigenvalues and eigenvectors of the transposed matrix / 3 Distinct eigenvalues / 4 Similarity transformations / 6 Multiple eigenvalues and canonical forms for general matrices / 7 Defective system of eigenvectors / 9 The Jordan (classical) canonical form / 10 The elementary divisors / 12 Companion matrix of the characteristic polynomial of $A$ / 12 Non-derogatory matrices / 13 The Frobenius (rational) canonical form / 15 Relationship between the Jordan and Frobenius canonical forms / 16 Equivalence transformations / 17 Lambda matrices / 18 Elementary operations / 19 Smith's canonical form / 19 The highest common factor of $k$-rowed minors of a $A$-matrix / 22 Invariant factors of $ (A - lambda M) $ / 22 The triangular canonical form / 24 Hermitian and symmetric matrices / 24 Elementary properties of Hermitian matrices / 25 Complex symmetric matrices / 26 Reduction to triangular form by unitary transformations / 27 Quadratic forms / 27 Necessary and sufficient conditions for positive definiteness / 28 Differential equations with constant coefficients / 30 Solutions corresponding to non-linear elementary divisors / 31 Differential equations of higher order / 32 Second-order equations of special form / 34 Explicit solution of $ B ddot y = -A y$ / 35 Equations of the form $(AB - lambda I) x = 0$ / 35 The minimum polynomial of a vector / 36 The minimum polynomial of a matrix / 37 Cayley--Hamilton theorem / 38 Relation between minimum polynomial and canonical forms / 39 Principal vectors / 42 Elementary similarity transformations / 43 Properties of elementary matrices / 45 Reduction to triangular canonical form by elementary similarity transformations / 46 Elementary unitary transformations / 47 Elementary unitary Hermitian matrices / 48 Reduction to triangular form by elementary unitary transformations / 50 Normal matrices / 51 Commuting matrices / 52 Eigenvalues of $A B$ / 54 Vector and matrix norms / 55 Subordinate matrix norms / 56 The Euclidean and spectral norms / 57 Norms and limits / 58 Avoiding use of infinite matrix series / 60 2. Perturbation Theory Introduction / 62 Ostrowski's theorem on continuity of the eigenvalues / 63 Algebraic functions / 64 Numerical examples / 65 Perturbation theory for simple eigenvalues / 66 Perturbation of corresponding eigenvectors / 67 Matrix with linear elementary divisors / 68 First-order perturbations of eigenvalues / 68 First-order perturbations of eigenvectors / 69 Higher-order perturbations / 70 Multiple eigenvalues / 70 Gerschgorin's theorems / 71 Perturbation theory based on Gerschgorin's theorems / 72 Case 1. Perturbation of a simple eigenvalue $lambda _1$ of a matrix having linear elementary divisors / 72 Case 2. Perturbation of a multiple eigenvalue $lambda _1$ of a matrix having linear elementary divisors / 75 Case 3. Perturbation of a simple eigenvalue of a matrix having one or more non-linear elementary divisors / 77 Case 4. Perturbations of the eigenvalues corresponding to a non-linear elementary divisor of a non-derogatory matrix / 79 Case 5. Perturbations of eigenvalues $lambda _i$ when there is more than one divisor involving $(lambda _i - lambda _)$ and at least one of them is non-linear / 80 Perturbations corresponding to the general distribution of non-linear divisors / 81 Perturbation theory for the eigenvectors from Jordan canonical form / 81 Perturbations of eigenvectors corresponding to a multiple eigenvalue (linear elementary divisors) / 83 Limitations of perturbation theory / 84 Relationships between the $s_i$ / 85 The condition of a computing problem / 86 Condition numbers / 86 Spectral condition number of A with respect to its eigenproblem / 87 Properties of spectral condition number / 88 Invariant properties of condition numbers / 89 Very ill-conditioned matrices / 90 Perturbation theory for real symmetric matrices / 93 Unsymmetric perturbations / 93 Symmetric perturbations / 94 Classical techniques / 94 Symmetric matrix of rank unity / 97 Extremal properties of eigenvalues / 98 Minimax characterization of eigenvalues / 99 Eigenvalues of the sum of two symmetric matrices / 101 Practical applications / 102 Further applications of minimax principle / 103 Separation theorem / 103 The Wielandt--Hoffman theorem / 104 3. Error Analysis Introduction / 110 Fixed-point operations / 110 Accumulation of inner-products / 111 Floating-point operations / 112 Simplified expressions for error bounds / 113 Error bounds for some basic floating-point computations / 114 Bounds for norms of the error matrices / 115 Accumulation of inner-products in floating-point arithmetic / 116 Error bounds for some basic $fl _2() $ computations / 117 Computation of square roots / 118 Block-floating vectors and matrices / 119 Fundamental limitations oft-digit computation / 120 Eigenvalue techniques based on reduction by similarity transformations / 123 Error analysis of methods based on elementary non-unitary transformations / 124 Error analysis of methods based on elementary unitary transformations / 126 Superiority of the unitary transformation / 128 Real symmetric matrices / 129 Limitations of unitary transformations / 129 Error analysis of floating-point computation of plane rotations / 131 Multiplication by a plane rotation / 133 Multiplication by a sequence of plane rotations / 134 Error in product of approximate plane rotations / 139 Errors in similarity transforms / 140 Symmetric matrices / 141 Plane rotations in fixed-point arithmetic / 143 Alternative computation of $sin theta $ and $cos theta $ / 145 Pre-multiplication by an approximate fixed-point rotation / 145 Multiplication by a sequence of plane rotations (fixed-point) / 147 The computed product of an approximate set of plane rotations / 148 Errors in similarity transformations / 148 General comments on the error bounds / 151 Elementary Hermitian matrices in floating-point / 152 Error analysis of the computation of an elementary Hermitian matrix / 153 Numerical example / 156 Pre-multiplication by an approximate elementary Hermitian matrix / 157 Multiplication by a sequence of approximate elementary Hermitians / 160 Non-unitary elementary matrices analogous to plane rotations / 162 Non-unitary elementary matrices analogous to elementary Hermitian matrices / 163 Pre-multiplication by a sequence of non-unitary matrices / 165 A priori error bounds / 166 Departure from normality / 167 Simple examples / 169 A posteriori bounds / 170 A posteriori bounds for normal matrices / 170 Rayleigh quotient / 172 Error in Rayleigh quotient / 173 Hermitian matrices / 174 Pathologically close eigenvalues / 176 Non-normal matrices / 178 Error analysis for a complete eigensystem / 180 Numerical example / 181 Conditions limiting attainable accuracy / 181 Non-linear elementary, divisors / 182 Approximate invariant subspaces / 184 Almost normal matrices / 187 4. Solution of Linear Algebraic Equations Introduction / 189 Perturbation theory / 189 Condition numbers / 191 Equilibrated matrices / 192 Simple practical examples / 193 Condition of matrix of eigenvectors / 193 Explicit solution / 194 General comments on condition of matrices / 195 Relation of ill-conditioning to near-singularity / 196 Limitations imposed by t-digit arithmetic / 197 Algorithms for solving linear equations / 198 Gaussian elimination / 200 Triangular decomposition / 201 Structure of triangular decomposition matrices / 201 Explicit expressions for elements of the triangles / 202 Breakdown of Gaussian elimination / 204 Numerical stability / 205 Significance of the interchanges / 206 Numerical example / 207 Error analysis of Gaussian elimination / 209 Upper bounds for the perturbation matrices using fixed-point arithmetic / 211 Upper bound for elements of reduced matrices / 212 Complete pivoting / 212 Practical procedure with partial pivoting / 214 Floating-point error analysis / 214 Floating-point decomposition without pivoting / 215 Loss of significant figures / 217 A popular fallacy / 217 Matrices of special form / 218 Gaussian elimination on a high-speed computer / 220 Solutions corresponding to different right-hand sides / 221 Direct triangular decomposition / 221 Relations between Gaussian elimination and direct triangular decomposition / 223 Examples of failure and non-uniqueness of decomposition / 224 Triangular decomposition with row interchanges / 225 Error analysis of triangular decomposition / 227 Evaluation of determinants / 228 Cholesky decomposition / 229 Symmetric matrices which are not positive definite / 230 Error analysis of Cholesky decomposition in fixed-point arithmetic / 231 An ill-conditioned matrix / 233 Triangularization using elementary Hermitian matrices / 233 Error analysis of Householder triangularization / 236 Triangularization by elementary stabilized matrices of the type M1, / 236 Evaluation of determinants of leading principal minors / 237 Triangularization by plane rotations / 239 Error analysis of Givens reduction / 240 Uniqueness of orthogonal triangularization / 241 Schmidt orthogonalization / 242 Comparison of the methods of triangularization / 244 Back-substitution / 247 High accuracy of computed solutions of triangular sets of equations / 249 Solution of a general set of equations / 251 Computation of the inverse of a general matrix / 252 Accuracy of computed solutions / 253 Ill-conditioned matrices which give no small pivots / 254 Iterative improvements of approximate solution / 255 Effect of rounding errors on the iterative process / 256 The iterative procedure in fixed-point computation / 257 Simple example of iterative procedure / 258 General comments on the iterative procedure / 260 Related iterative procedures / 261 Limitations of the iterative procedure / 261 Rigorous justification of the iterative method / 262 5. Hermitian Matrices Introduction / 265 The classical Jacobi method for real symmetric matrices / 266 Rate of convergence / 267 Convergence to fixed diagonal matrix / 268 Serial Jacobi method / 269 The Gerschgorin discs / 269 Ultimate quadratic convergence of Jacobi methods / 270 Close and multiple eigenvalues / 271 Numerical examples / 273 Calculation of cos 8 and sin B / 274 Simpler determination of the angles of rotation / 276 The threshold Jacobi method / 277 Calculation of the eigenvectors / 278 Numerical example / 279 Error analysis of the Jacobi method / 279 Accuracy of the computed eigenvectors / 280 Error bounds for fixed-point computation / 281 Organizational problems / 282 Givens' method / 282 Givens' process on a computer with a two-level store / 284 Floating-point error analysis of Givens' process / 286 Fixed-point error analysis / 287 Numerical example / 288 Householder's method / 290 Taking advantage of symmetry / 292 Storage considerations / 293 Householder's process on a computer with a two-level store / 294 Householder's method in fixed-point arithmetic / 294 Numerical example / 296 Error analyses of Householder's method / 297 Eigenvalues of a symmetric tri-diagonal matrix / 299 Sturm sequence property / 300 Method of bisection / 302 Numerical stability of the bisection method / 302 Numerical example / 305 General comments on the bisection method / 306 Small eigenvalues / 307 Close eigenvalues and small $beta _i$ / 308 Fixed-point computation of the eigenvalues / 312 Computation of the eigenvectors of a tri-diagonal form / 315 Instability of the explicit expression for the eigenvector / 316 Numerical examples / 319 Inverse iteration / 321 Choice of initial vector $b$ / 322 Error analysis / 323 Numerical example / 325 Close eigenvalues and small $beta _i$ / 327 Independent vectors corresponding to coincident eigenvalues / 328 Alternative method for computing the eigenvectors / 330 Numerical example / 331 Comments on the eigenproblem for tri-diagonal matrices / 332 Completion of the Givens and Householder methods / 333 Comparison of methods / 334 Quasi-symmetric tri-diagonal matrices / 335 Calculation of the eigenvectors / 336 Equations of the form $A x = lambda B x$ and $A B x = lambda X $ / 337 Numerical example / 339 Simultaneous reduction of $A$ and $B$ to diagonal form / 340 Tri-diagonal $A$ and $B$ / 340 Complex Hermitian matrices / 342 6. Reduction of a General Matrix to Condensed Form Introduction / 345 Givens' method / 345 Householder's method / 347 Storage considerations / 350 Error analysis / 350 Relationship between the Givens and Householder methods / 351 Elementary stabilized transformations / 353 Significance of the permutations / 355 Direct reduction to Hessenberg form / 357 Incorporation of interchanges / 359 Numerical example / 360 Error analysis / 363 Related error analyses / 365 Poor determination of the Hessenberg matrix / 368 Reduction to Hessenberg form using stabilized matrices of the type $ M^'_ji $ / 368 The method of Krylov / 369 Gaussian elimination by columns / 370 Practical difficulties / 371 Condition of O for some standard distributions of eigenvalues / 372 Initial vectors of grade less than n / 374 Practical experience / 376 Generalized Hessenberg processes / 377 Failure of the generalized Hessenberg process / 378 The Hessenberg method / 379 Practical procedure / 380 Relation between the Hessenberg method and earlier methods / 381 The method of Arnoldi / 382 Practical considerations / 383 Significance of re-orthogonalization / 385 The method of Lanczos / 388 Failure of procedure / 389 Numerical example / 390 The practical Lanczos process / 391 Numerical example / 392 General comments on the unsymmetric Lanczos process / 394 The symmetric Lanczos process / 394 Reduction of a Hessenberg matrix to a more compact form / 395 Reduction of a lower Hessenberg matrix to tri-diagonal form / 396 The use of interchanges / 397 Effect of a small pivotal element / 398 Error analysis / 399 The Hessenberg process applied to a lower Hessenberg matrix / 402 Relationship between the Hessenberg process and the Lanczos process / 402 Reduction of a general matrix to tri-diagonal form / 403 Comparison with Lanczos method / 404 Re-examination of reduction to tri-diagonal form / 404 Reduction from upper Hessenberg form to Frobenius form / 405 Effect of small pivot / 407 Numerical example / 408 General comments on the stability / 408 Specialized upper Hessenberg form / 409 Direct determination of the characteristic polynomial / 410 7. Eigenvalues of Matrices of Condensed Forms Introduction / 413 Explicit polynomial form / 413 Condition numbers of explicit polynomials / 416 Some typical distributions of zeros / 417 Final assessment of Krylov's method / 421 General comments on explicit polynomials / 421 Tri-diagonal matrices / 423 Determinants of Hessenberg matrices / 426 Effect of rounding errors / 427 Floating-point accumulation / 428 Evaluation by orthogonal transformations / 429 Evaluation of determinants of general matrices / 431 The generalized eigenvalue problem / 432 Indirect determinations of the characteristic polynomial / 432 Le Verrier's method / 434 Iterative methods based on interpolation / 435 Asymptotic rate of convergence / 436 Multiple zeros / 437 Inversion of the functional relationship / 439 The method of bisection / 440 Newton's method / 441 Comparison of Newton's method with interpolation / 442 Methods giving cubic convergence / 443 Laguerre's method / 443 Complex zeros / 446 Complex conjugate zeros / 447 Bairstow's method / 449 The generalized Bairstow method / 450 Practical considerations / 452 Effect of rounding errors on asymptotic convergence / 453 The method of bisection / 453 Successive linear interpolation / 455 Multiple and pathologically close eigenvalues / 457 Other interpolation methods / 458 Methods involving the use of a derivative / 459 Criterion for acceptance of a zero / 461 Effect of rounding errors / 462 Suppression of computed zeros / 464 Deflation for Hessenberg matrices / 465 Deflation of tri-diagonal matrices / 468 Deflation by rotations or stabilized elementary transformations / 469 Stability of the deflation / 472 General comments on deflation / 474 Suppression of computed zeros / 474 Suppression of computed quadratic factors / 475 General comments on the methods of suppression / 476 Asymptotic rates of convergence / 478 Convergence in the large / 478 Complex zeros / 481 Recommendations / 482 Complex matrices / 483 Matrices containing an independent parameter / 483 8. The $ L R $ and $ Q R $ Algorithms Introduction / 485 Real matrices with complex eigenvalues / 486 The $ L R $ algorithm / 487 Proof of the convergence of the $A_s$ / 489 Positive definite Hermitian matrices / 493 Complex conjugate eigenvalues / 494 Introduction of interchanges / 498 Numerical example / 499 Convergence of the modified process / 501 Preliminary reduction of original matrix / 501 Invariance of upper Hessenberg form / 502 Simultaneous row and column operations / 504 Acceleration of convergence / 505 Incorporation of shifts of origin / 506 Choice of shift of origin / 507 Deflation of the matrix / 509 Practical experience of convergence / 510 Improved shift strategy / 511 Complex conjugate eigenvalues / 512 Criticisms of the modified $ L R $ algorithm. / 515 The $ Q R $ algorithm / 515 Convergence of the $ Q R $ algorithm / 516 Formal proof of convergence / 517 Disorder of the eigenvalues / 519 Eigenvalues of equal modulus / 520 Alternative proof for the $ L R $ technique / 521 Practical application of the $ Q R $ algorithm / 523 Shifts of origin / 524 Decomposition of A8 / 525 Numerical example / 527 Practical procedure / 527 Avoiding complex conjugate shifts / 528 Double $ Q R $ step using elementary Hermitians / 532 Computational details / 534 Decomposition of A8 / 535 Double-shift technique for $ L R $ / 537 Assessment of $ L R $ and $ Q R $ algorithms / 538 Multiple eigenvalues / 540 Special use of the deflation process / 543 Symmetric matrices / 544 Relationship between $ L R $ and $ Q R $ algorithms / 545 Convergence of the Cholesky $ L R $ algorithm / 546 Cubic convergence of the $ Q R $ algorithm / 548 Shift of origin in Cholesky $ L R $ / 549 Failure of the Cholesky decomposition / 550 Cubically convergent $ L R $ process / 551 Band matrices / 553 $ Q R $ decomposition of a band matrix / 557 Error analysis / 561 Unsymmetric band matrices / 562 Simultaneous decomposition and recombination in $ Q R $ algorithm / 565 Reduction of band width / 567 9. ITERATIVE METHODS Introduction / 570 The power method / 570 Direct iteration with a single vector / 571 Shift of origin / 572 Effect of rounding errors / 573 Variation of $p$ / 576 em Ad hoc choice of $p$ / 577 Aitken's acceleration technique / 578 Complex conjugate eigenvalues / 579 Calculation of the complex eigenvector / 581 Shift of origin / 582 Non-linear divisors / 582 Simultaneous determination of several eigenvalues / 583 Complex matrices / 584 Deflation / 584 Deflation based on similarity transformations / 585 Deflation using invariant subspaces / 587 Deflation using stabilized elementary transformations / 587 Deflation using unitary transformations / 589 Numerical stability / 590 Numerical example / 592 Stability of unitary transformations / 594 Deflation by non-similarity transformations / 596 General reduction using invariant subspaces / 599 Practical application / 601 Treppen-iteration / 602 Accurate determination of complex conjugate eigenvalues / 604 Very close eigenvalues / 606 Orthogonalization techniques / 606 Analogue of treppen-iteration using orthogonalization / 607 Bi-iteration / 609 Numerical example / 610 Richardson's purification process / 614 Matrix squaring / 615 Numerical stability / 616 Use of Chebyshev polynomials / 617 General assessment of methods based on direct iteration / 618 Inverse iteration / 619 Error analysis of inverse iteration / 620 General comments on the analysis / 621 Further refinement of eigenvectors / 622 Non-linear elementary divisors / 626 Inverse iteration with Hessenberg matrices / 626 Degenerate cases / 627 Inverse iteration with band matrices / 628 Complex conjugate eigenvectors / 629 Error analysis / 631 Numerical example / 633 The generalized eigenvalue problem / 633 Variation of approximate eigenvalues / 635 Refinement of eigensystems / 637 Numerical example / 639 Refinement of the eigenvectors / 641 Complex conjugate eigenvalues / 643 Coincident and pathologically close eigenvalues / 644 Comments on the ACE programmes / 646 Bibliography / 649 Index / 657

shortTOC:
1. Theoretical Background 2. Perturbation Theory 3. Error Analysis 4. Solution of Linear Algebraic Equations 5. Hermitian Matrices 6. Reduction of a General Matrix to Condensed Form 7. Eigenvalues of Matrices of Condensed Forms 8. The $ L R $ and $ Q R $ Algorithms 9. Iterative Methods Bibliography / 649 Index / 657

rawshortTOC:
1. Theoretical Background \\ 2. Perturbation Theory \\ 3. Error Analysis \\ 4. Solution of Linear Algebraic Equations \\ 5. Hermitian Matrices \\ 6. Reduction of a General Matrix to Condensed Form \\ 7. Eigenvalues of Matrices of Condensed Forms \\ 8. The $ L R $ and $ Q R $ Algorithms \\ 9. Iterative Methods \\ Bibliography / 649 \\ Index / 657

rawTOC:
1. Theoretical Background \\ Introduction / 1 \\ Definitions / 2 \\ Eigenvalues and eigenvectors of the transposed matrix / 3 \\ Distinct eigenvalues / 4 \\ Similarity transformations / 6 \\ Multiple eigenvalues and canonical forms for general matrices / 7 \\ Defective system of eigenvectors / 9 \\ The Jordan (classical) canonical form / 10 \\ The elementary divisors / 12 \\ Companion matrix of the characteristic polynomial of $A$ / 12 \\ Non-derogatory matrices / 13 \\ The Frobenius (rational) canonical form / 15 \\ Relationship between the Jordan and Frobenius canonical forms / 16 \\ Equivalence transformations / 17 \\ Lambda matrices / 18 \\ Elementary operations / 19 \\ Smith's canonical form / 19 \\ The highest common factor of $k$-rowed minors of a $A$-matrix / 22 \\ Invariant factors of $ (A - \lambda M) $ / 22 \\ The triangular canonical form / 24 \\ Hermitian and symmetric matrices / 24 \\ Elementary properties of Hermitian matrices / 25 \\ Complex symmetric matrices / 26 \\ Reduction to triangular form by unitary transformations / 27 \\ Quadratic forms / 27 \\ Necessary and sufficient conditions for positive definiteness / 28 \\ Differential equations with constant coefficients / 30 \\ Solutions corresponding to non-linear elementary divisors / 31 \\ Differential equations of higher order / 32 \\ Second-order equations of special form / 34 \\ Explicit solution of $ B \ddot{y} = -A y$ / 35 \\ Equations of the form $(AB - \lambda I) x = 0$ / 35 \\ The minimum polynomial of a vector / 36 \\ The minimum polynomial of a matrix / 37 \\ Cayley--Hamilton theorem / 38 \\ Relation between minimum polynomial and canonical forms / 39 \\ Principal vectors / 42 \\ Elementary similarity transformations / 43 \\ Properties of elementary matrices / 45 \\ Reduction to triangular canonical form by elementary similarity transformations / 46 \\ Elementary unitary transformations / 47 \\ Elementary unitary Hermitian matrices / 48 \\ Reduction to triangular form by elementary unitary transformations / 50 \\ Normal matrices / 51 \\ Commuting matrices / 52 \\ Eigenvalues of $A B$ / 54 \\ Vector and matrix norms / 55 \\ Subordinate matrix norms / 56 \\ The Euclidean and spectral norms / 57 \\ Norms and limits / 58 \\ Avoiding use of infinite matrix series / 60 \\ 2. Perturbation Theory \\ Introduction / 62 \\ Ostrowski's theorem on continuity of the eigenvalues / 63 \\ Algebraic functions / 64 \\ Numerical examples / 65 \\ Perturbation theory for simple eigenvalues / 66 \\ Perturbation of corresponding eigenvectors / 67 \\ Matrix with linear elementary divisors / 68 \\ First-order perturbations of eigenvalues / 68 \\ First-order perturbations of eigenvectors / 69 \\ Higher-order perturbations / 70 \\ Multiple eigenvalues / 70 \\ Gerschgorin's theorems / 71 \\ Perturbation theory based on Gerschgorin's theorems / 72 \\ Case 1. Perturbation of a simple eigenvalue $\lambda_1$ of a matrix having linear elementary divisors / 72 \\ Case 2. Perturbation of a multiple eigenvalue $\lambda_1$ of a matrix having linear elementary divisors / 75 \\ Case 3. Perturbation of a simple eigenvalue of a matrix having one or more non-linear elementary divisors / 77 \\ Case 4. Perturbations of the eigenvalues corresponding to a non-linear elementary divisor of a non-derogatory matrix / 79 \\ Case 5. Perturbations of eigenvalues $\lambda_i$ when there is more than one divisor involving $(\lambda_i - \lambda_)$ and at least one of them is non-linear / 80 \\ Perturbations corresponding to the general distribution of non-linear divisors / 81 \\ Perturbation theory for the eigenvectors from Jordan canonical form / 81 \\ Perturbations of eigenvectors corresponding to a multiple eigenvalue (linear elementary divisors) / 83 \\ Limitations of perturbation theory / 84 \\ Relationships between the $s_i$ / 85 \\ The condition of a computing problem / 86 \\ Condition numbers / 86 \\ Spectral condition number of A with respect to its eigenproblem / 87 \\ Properties of spectral condition number / 88 \\ Invariant properties of condition numbers / 89 \\ Very ill-conditioned matrices / 90 \\ Perturbation theory for real symmetric matrices / 93 \\ Unsymmetric perturbations / 93 \\ Symmetric perturbations / 94 \\ Classical techniques / 94 \\ Symmetric matrix of rank unity / 97 \\ Extremal properties of eigenvalues / 98 \\ Minimax characterization of eigenvalues / 99 \\ Eigenvalues of the sum of two symmetric matrices / 101 \\ Practical applications / 102 \\ Further applications of minimax principle / 103 \\ Separation theorem / 103 \\ The Wielandt--Hoffman theorem / 104 \\ 3. Error Analysis \\ Introduction / 110 \\ Fixed-point operations / 110 \\ Accumulation of inner-products / 111 \\ Floating-point operations / 112 \\ Simplified expressions for error bounds / 113 \\ Error bounds for some basic floating-point computations / 114 \\ Bounds for norms of the error matrices / 115 \\ Accumulation of inner-products in floating-point arithmetic / 116 \\ Error bounds for some basic $\fl_2() $ computations / 117 \\ Computation of square roots / 118 \\ Block-floating vectors and matrices / 119 \\ Fundamental limitations oft-digit computation / 120 \\ Eigenvalue techniques based on reduction by similarity transformations / 123 \\ Error analysis of methods based on elementary non-unitary transformations / 124 \\ Error analysis of methods based on elementary unitary transformations / 126 \\ Superiority of the unitary transformation / 128 \\ Real symmetric matrices / 129 \\ Limitations of unitary transformations / 129 \\ Error analysis of floating-point computation of plane rotations / 131 \\ Multiplication by a plane rotation / 133 \\ Multiplication by a sequence of plane rotations / 134 \\ Error in product of approximate plane rotations / 139 \\ Errors in similarity transforms / 140 \\ Symmetric matrices / 141 \\ Plane rotations in fixed-point arithmetic / 143 \\ Alternative computation of $\sin \theta$ and $\cos \theta$ / 145 \\ Pre-multiplication by an approximate fixed-point rotation / 145 \\ Multiplication by a sequence of plane rotations (fixed-point) / 147 \\ The computed product of an approximate set of plane rotations / 148 \\ Errors in similarity transformations / 148 \\ General comments on the error bounds / 151 \\ Elementary Hermitian matrices in floating-point / 152 \\ Error analysis of the computation of an elementary Hermitian matrix / 153 \\ Numerical example / 156 \\ Pre-multiplication by an approximate elementary Hermitian matrix / 157 \\ Multiplication by a sequence of approximate elementary Hermitians / 160 \\ Non-unitary elementary matrices analogous to plane rotations / 162 \\ Non-unitary elementary matrices analogous to elementary Hermitian matrices / 163 \\ Pre-multiplication by a sequence of non-unitary matrices / 165 \\ A priori error bounds / 166 \\ Departure from normality / 167 \\ Simple examples / 169 \\ A posteriori bounds / 170 \\ A posteriori bounds for normal matrices / 170 \\ Rayleigh quotient / 172 \\ Error in Rayleigh quotient / 173 \\ Hermitian matrices / 174 \\ Pathologically close eigenvalues / 176 \\ Non-normal matrices / 178 \\ Error analysis for a complete eigensystem / 180 \\ Numerical example / 181 \\ Conditions limiting attainable accuracy / 181 \\ Non-linear elementary, divisors / 182 \\ Approximate invariant subspaces / 184 \\ Almost normal matrices / 187 \\ 4. Solution of Linear Algebraic Equations \\ Introduction / 189 \\ Perturbation theory / 189 \\ Condition numbers / 191 \\ Equilibrated matrices / 192 \\ Simple practical examples / 193 \\ Condition of matrix of eigenvectors / 193 \\ Explicit solution / 194 \\ General comments on condition of matrices / 195 \\ Relation of ill-conditioning to near-singularity / 196 \\ Limitations imposed by t-digit arithmetic / 197 \\ Algorithms for solving linear equations / 198 \\ Gaussian elimination / 200 \\ Triangular decomposition / 201 \\ Structure of triangular decomposition matrices / 201 \\ Explicit expressions for elements of the triangles / 202 \\ Breakdown of Gaussian elimination / 204 \\ Numerical stability / 205 \\ Significance of the interchanges / 206 \\ Numerical example / 207 \\ Error analysis of Gaussian elimination / 209 \\ Upper bounds for the perturbation matrices using fixed-point arithmetic / 211 \\ Upper bound for elements of reduced matrices / 212 \\ Complete pivoting / 212 \\ Practical procedure with partial pivoting / 214 \\ Floating-point error analysis / 214 \\ Floating-point decomposition without pivoting / 215 \\ Loss of significant figures / 217 \\ A popular fallacy / 217 \\ Matrices of special form / 218 \\ Gaussian elimination on a high-speed computer / 220 \\ Solutions corresponding to different right-hand sides / 221 \\ Direct triangular decomposition / 221 \\ Relations between Gaussian elimination and direct triangular decomposition / 223 \\ Examples of failure and non-uniqueness of decomposition / 224 \\ Triangular decomposition with row interchanges / 225 \\ Error analysis of triangular decomposition / 227 \\ Evaluation of determinants / 228 \\ Cholesky decomposition / 229 \\ Symmetric matrices which are not positive definite / 230 \\ Error analysis of Cholesky decomposition in fixed-point arithmetic / 231 \\ An ill-conditioned matrix / 233 \\ Triangularization using elementary Hermitian matrices / 233 \\ Error analysis of Householder triangularization / 236 \\ Triangularization by elementary stabilized matrices of the type M1, / 236 \\ Evaluation of determinants of leading principal minors / 237 \\ Triangularization by plane rotations / 239 \\ Error analysis of Givens reduction / 240 \\ Uniqueness of orthogonal triangularization / 241 \\ Schmidt orthogonalization / 242 \\ Comparison of the methods of triangularization / 244 \\ Back-substitution / 247 \\ High accuracy of computed solutions of triangular sets of equations / 249 \\ Solution of a general set of equations / 251 \\ Computation of the inverse of a general matrix / 252 \\ Accuracy of computed solutions / 253 \\ Ill-conditioned matrices which give no small pivots / 254 \\ Iterative improvements of approximate solution / 255 \\ Effect of rounding errors on the iterative process / 256 \\ The iterative procedure in fixed-point computation / 257 \\ Simple example of iterative procedure / 258 \\ General comments on the iterative procedure / 260 \\ Related iterative procedures / 261 \\ Limitations of the iterative procedure / 261 \\ Rigorous justification of the iterative method / 262 \\ 5. Hermitian Matrices \\ Introduction / 265 \\ The classical Jacobi method for real symmetric matrices / 266 \\ Rate of convergence / 267 \\ Convergence to fixed diagonal matrix / 268 \\ Serial Jacobi method / 269 \\ The Gerschgorin discs / 269 \\ Ultimate quadratic convergence of Jacobi methods / 270 \\ Close and multiple eigenvalues / 271 \\ Numerical examples / 273 \\ Calculation of cos 8 and sin B / 274 \\ Simpler determination of the angles of rotation / 276 \\ The threshold Jacobi method / 277 \\ Calculation of the eigenvectors / 278 \\ Numerical example / 279 \\ Error analysis of the Jacobi method / 279 \\ Accuracy of the computed eigenvectors / 280 \\ Error bounds for fixed-point computation / 281 \\ Organizational problems / 282 \\ Givens' method / 282 \\ Givens' process on a computer with a two-level store / 284 \\ Floating-point error analysis of Givens' process / 286 \\ Fixed-point error analysis / 287 \\ Numerical example / 288 \\ Householder's method / 290 \\ Taking advantage of symmetry / 292 \\ Storage considerations / 293 \\ Householder's process on a computer with a two-level store / 294 \\ Householder's method in fixed-point arithmetic / 294 \\ Numerical example / 296 \\ Error analyses of Householder's method / 297 \\ Eigenvalues of a symmetric tri-diagonal matrix / 299 \\ Sturm sequence property / 300 \\ Method of bisection / 302 \\ Numerical stability of the bisection method / 302 \\ Numerical example / 305 \\ General comments on the bisection method / 306 \\ Small eigenvalues / 307 \\ Close eigenvalues and small $\beta_i$ / 308 \\ Fixed-point computation of the eigenvalues / 312 \\ Computation of the eigenvectors of a tri-diagonal form / 315 \\ Instability of the explicit expression for the eigenvector / 316 \\ Numerical examples / 319 \\ Inverse iteration / 321 \\ Choice of initial vector $b$ / 322 \\ Error analysis / 323 \\ Numerical example / 325 \\ Close eigenvalues and small $\beta_i$ / 327 \\ Independent vectors corresponding to coincident eigenvalues / 328 \\ Alternative method for computing the eigenvectors / 330 \\ Numerical example / 331 \\ Comments on the eigenproblem for tri-diagonal matrices / 332 \\ Completion of the Givens and Householder methods / 333 \\ Comparison of methods / 334 \\ Quasi-symmetric tri-diagonal matrices / 335 \\ Calculation of the eigenvectors / 336 \\ Equations of the form $A x = \lambda B x$ and $A B x = \lambda X $ / 337 \\ Numerical example / 339 \\ Simultaneous reduction of $A$ and $B$ to diagonal form / 340 \\ Tri-diagonal $A$ and $B$ / 340 \\ Complex Hermitian matrices / 342 \\ 6. Reduction of a General Matrix to Condensed Form \\ Introduction / 345 \\ Givens' method / 345 \\ Householder's method / 347 \\ Storage considerations / 350 \\ Error analysis / 350 \\ Relationship between the Givens and Householder methods / 351 \\ Elementary stabilized transformations / 353 \\ Significance of the permutations / 355 \\ Direct reduction to Hessenberg form / 357 \\ Incorporation of interchanges / 359 \\ Numerical example / 360 \\ Error analysis / 363 \\ Related error analyses / 365 \\ Poor determination of the Hessenberg matrix / 368 \\ Reduction to Hessenberg form using stabilized matrices of the type $ M^'_{ji} $ / 368 \\ The method of Krylov / 369 \\ Gaussian elimination by columns / 370 \\ Practical difficulties / 371 \\ Condition of O for some standard distributions of eigenvalues / 372 \\ Initial vectors of grade less than n / 374 \\ Practical experience / 376 \\ Generalized Hessenberg processes / 377 \\ Failure of the generalized Hessenberg process / 378 \\ The Hessenberg method / 379 \\ Practical procedure / 380 \\ Relation between the Hessenberg method and earlier methods / 381 \\ The method of Arnoldi / 382 \\ Practical considerations / 383 \\ Significance of re-orthogonalization / 385 \\ The method of Lanczos / 388 \\ Failure of procedure / 389 \\ Numerical example / 390 \\ The practical Lanczos process / 391 \\ Numerical example / 392 \\ General comments on the unsymmetric Lanczos process / 394 \\ The symmetric Lanczos process / 394 \\ Reduction of a Hessenberg matrix to a more compact form / 395 \\ Reduction of a lower Hessenberg matrix to tri-diagonal form / 396 \\ The use of interchanges / 397 \\ Effect of a small pivotal element / 398 \\ Error analysis / 399 \\ The Hessenberg process applied to a lower Hessenberg matrix / 402 \\ Relationship between the Hessenberg process and the Lanczos process / 402 \\ Reduction of a general matrix to tri-diagonal form / 403 \\ Comparison with Lanczos method / 404 \\ Re-examination of reduction to tri-diagonal form / 404 \\ Reduction from upper Hessenberg form to Frobenius form / 405 \\ Effect of small pivot / 407 \\ Numerical example / 408 \\ General comments on the stability / 408 \\ Specialized upper Hessenberg form / 409 \\ Direct determination of the characteristic polynomial / 410 \\ 7. Eigenvalues of Matrices of Condensed Forms \\ Introduction / 413 \\ Explicit polynomial form / 413 \\ Condition numbers of explicit polynomials / 416 \\ Some typical distributions of zeros / 417 \\ Final assessment of Krylov's method / 421 \\ General comments on explicit polynomials / 421 \\ Tri-diagonal matrices / 423 \\ Determinants of Hessenberg matrices / 426 \\ Effect of rounding errors / 427 \\ Floating-point accumulation / 428 \\ Evaluation by orthogonal transformations / 429 \\ Evaluation of determinants of general matrices / 431 \\ The generalized eigenvalue problem / 432 \\ Indirect determinations of the characteristic polynomial / 432 \\ Le Verrier's method / 434 \\ Iterative methods based on interpolation / 435 \\ Asymptotic rate of convergence / 436 \\ Multiple zeros / 437 \\ Inversion of the functional relationship / 439 \\ The method of bisection / 440 \\ Newton's method / 441 \\ Comparison of Newton's method with interpolation / 442 \\ Methods giving cubic convergence / 443 \\ Laguerre's method / 443 \\ Complex zeros / 446 \\ Complex conjugate zeros / 447 \\ Bairstow's method / 449 \\ The generalized Bairstow method / 450 \\ Practical considerations / 452 \\ Effect of rounding errors on asymptotic convergence / 453 \\ The method of bisection / 453 \\ Successive linear interpolation / 455 \\ Multiple and pathologically close eigenvalues / 457 \\ Other interpolation methods / 458 \\ Methods involving the use of a derivative / 459 \\ Criterion for acceptance of a zero / 461 \\ Effect of rounding errors / 462 \\ Suppression of computed zeros / 464 \\ Deflation for Hessenberg matrices / 465 \\ Deflation of tri-diagonal matrices / 468 \\ Deflation by rotations or stabilized elementary transformations / 469 \\ Stability of the deflation / 472 \\ General comments on deflation / 474 \\ Suppression of computed zeros / 474 \\ Suppression of computed quadratic factors / 475 \\ General comments on the methods of suppression / 476 \\ Asymptotic rates of convergence / 478 \\ Convergence in the large / 478 \\ Complex zeros / 481 \\ Recommendations / 482 \\ Complex matrices / 483 \\ Matrices containing an independent parameter / 483 \\ 8. The $ L R $ and $ Q R $ Algorithms \\ Introduction / 485 \\ Real matrices with complex eigenvalues / 486 \\ The $ L R $ algorithm / 487 \\ Proof of the convergence of the $A_s$ / 489 \\ Positive definite Hermitian matrices / 493 \\ Complex conjugate eigenvalues / 494 \\ Introduction of interchanges / 498 \\ Numerical example / 499 \\ Convergence of the modified process / 501 \\ Preliminary reduction of original matrix / 501 \\ Invariance of upper Hessenberg form / 502 \\ Simultaneous row and column operations / 504 \\ Acceleration of convergence / 505 \\ Incorporation of shifts of origin / 506 \\ Choice of shift of origin / 507 \\ Deflation of the matrix / 509 \\ Practical experience of convergence / 510 \\ Improved shift strategy / 511 \\ Complex conjugate eigenvalues / 512 \\ Criticisms of the modified $ L R $ algorithm. / 515 \\ The $ Q R $ algorithm / 515 \\ Convergence of the $ Q R $ algorithm / 516 \\ Formal proof of convergence / 517 \\ Disorder of the eigenvalues / 519 \\ Eigenvalues of equal modulus / 520 \\ Alternative proof for the $ L R $ technique / 521 \\ Practical application of the $ Q R $ algorithm / 523 \\ Shifts of origin / 524 \\ Decomposition of A8 / 525 \\ Numerical example / 527 \\ Practical procedure / 527 \\ Avoiding complex conjugate shifts / 528 \\ Double $ Q R $ step using elementary Hermitians / 532 \\ Computational details / 534 \\ Decomposition of A8 / 535 \\ Double-shift technique for $ L R $ / 537 \\ Assessment of $ L R $ and $ Q R $ algorithms / 538 \\ Multiple eigenvalues / 540 \\ Special use of the deflation process / 543 \\ Symmetric matrices / 544 \\ Relationship between $ L R $ and $ Q R $ algorithms / 545 \\ Convergence of the Cholesky $ L R $ algorithm / 546 \\ Cubic convergence of the $ Q R $ algorithm / 548 \\ Shift of origin in Cholesky $ L R $ / 549 \\ Failure of the Cholesky decomposition / 550 \\ Cubically convergent $ L R $ process / 551 \\ Band matrices / 553 \\ $ Q R $ decomposition of a band matrix / 557 \\ Error analysis / 561 \\ Unsymmetric band matrices / 562 \\ Simultaneous decomposition and recombination in $ Q R $ algorithm / 565 \\ Reduction of band width / 567 \\ 9. ITERATIVE METHODS \\ Introduction / 570 \\ The power method / 570 \\ Direct iteration with a single vector / 571 \\ Shift of origin / 572 \\ Effect of rounding errors / 573 \\ Variation of $p$ / 576 \\ {\em Ad hoc\/} choice of $p$ / 577 \\ Aitken's acceleration technique / 578 \\ Complex conjugate eigenvalues / 579 \\ Calculation of the complex eigenvector / 581 \\ Shift of origin / 582 \\ Non-linear divisors / 582 \\ Simultaneous determination of several eigenvalues / 583 \\ Complex matrices / 584 \\ Deflation / 584 \\ Deflation based on similarity transformations / 585 \\ Deflation using invariant subspaces / 587 \\ Deflation using stabilized elementary transformations / 587 \\ Deflation using unitary transformations / 589 \\ Numerical stability / 590 \\ Numerical example / 592 \\ Stability of unitary transformations / 594 \\ Deflation by non-similarity transformations / 596 \\ General reduction using invariant subspaces / 599 \\ Practical application / 601 \\ Treppen-iteration / 602 \\ Accurate determination of complex conjugate eigenvalues / 604 \\ Very close eigenvalues / 606 \\ Orthogonalization techniques / 606 \\ Analogue of treppen-iteration using orthogonalization / 607 \\ Bi-iteration / 609 \\ Numerical example / 610 \\ Richardson's purification process / 614 \\ Matrix squaring / 615 \\ Numerical stability / 616 \\ Use of Chebyshev polynomials / 617 \\ General assessment of methods based on direct iteration / 618 \\ Inverse iteration / 619 \\ Error analysis of inverse iteration / 620 \\ General comments on the analysis / 621 \\ Further refinement of eigenvectors / 622 \\ Non-linear elementary divisors / 626 \\ Inverse iteration with Hessenberg matrices / 626 \\ Degenerate cases / 627 \\ Inverse iteration with band matrices / 628 \\ Complex conjugate eigenvectors / 629 \\ Error analysis / 631 \\ Numerical example / 633 \\ The generalized eigenvalue problem / 633 \\ Variation of approximate eigenvalues / 635 \\ Refinement of eigensystems / 637 \\ Numerical example / 639 \\ Refinement of the eigenvectors / 641 \\ Complex conjugate eigenvalues / 643 \\ Coincident and pathologically close eigenvalues / 644 \\ Comments on the ACE programmes / 646 \\ Bibliography / 649 \\ Index / 657

entry:
@Book{Wilkinson:1965:AEP,
  author =       "J. H. Wilkinson",
  booktitle =    "The Algebraic Eigenvalue Problem",
  title =        "The Algebraic Eigenvalue Problem",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  pages =        "xviii + 662",
  year =         "1965",
  ISBN =         "0-19-853403-5",
  ISBN-13 =      "978-0-19-853403-7",
  LCCN =         "QA218 .W686 1965",
  MRclass =      "65.40",
  MRnumber =     "MR0184422 (32 \#1894)",
  MRreviewer =   "A. S. Householder",
  bibdate =      "Tue Aug 15 18:20:34 MDT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib",
  acknowledgement = ack-nhfb,
  shorttableofcontents = "1. Theoretical Background \\
                 2. Perturbation Theory \\
                 3. Error Analysis \\
                 4. Solution of Linear Algebraic Equations \\
                 5. Hermitian Matrices \\
                 6. Reduction of a General Matrix to Condensed Form \\
                 7. Eigenvalues of Matrices of Condensed Forms \\
                 8. The $ L R $ and $ Q R $ Algorithms \\
                 9. Iterative Methods \\
                 Bibliography / 649 \\
                 Index / 657",
  tableofcontents = "1. Theoretical Background \\
                 Introduction / 1 \\
                 Definitions / 2 \\
                 Eigenvalues and eigenvectors of the transposed matrix /
                 3 \\
                 Distinct eigenvalues / 4 \\
                 Similarity transformations / 6 \\
                 Multiple eigenvalues and canonical forms for general
                 matrices / 7 \\
                 Defective system of eigenvectors / 9 \\
                 The Jordan (classical) canonical form / 10 \\
                 The elementary divisors / 12 \\
                 Companion matrix of the characteristic polynomial of
                 $A$ / 12 \\
                 Non-derogatory matrices / 13 \\
                 The Frobenius (rational) canonical form / 15 \\
                 Relationship between the Jordan and Frobenius canonical
                 forms / 16 \\
                 Equivalence transformations / 17 \\
                 Lambda matrices / 18 \\
                 Elementary operations / 19 \\
                 Smith's canonical form / 19 \\
                 The highest common factor of $k$-rowed minors of a
                 $A$-matrix / 22 \\
                 Invariant factors of $ (A - \lambda M) $ / 22 \\
                 The triangular canonical form / 24 \\
                 Hermitian and symmetric matrices / 24 \\
                 Elementary properties of Hermitian matrices / 25 \\
                 Complex symmetric matrices / 26 \\
                 Reduction to triangular form by unitary transformations
                 / 27 \\
                 Quadratic forms / 27 \\
                 Necessary and sufficient conditions for positive
                 definiteness / 28 \\
                 Differential equations with constant coefficients / 30
                 \\
                 Solutions corresponding to non-linear elementary
                 divisors / 31 \\
                 Differential equations of higher order / 32 \\
                 Second-order equations of special form / 34 \\
                 Explicit solution of $ B \ddot{y} = -A y$ / 35 \\
                 Equations of the form $(AB - \lambda I) x = 0$ / 35 \\
                 The minimum polynomial of a vector / 36 \\
                 The minimum polynomial of a matrix / 37 \\
                 Cayley--Hamilton theorem / 38 \\
                 Relation between minimum polynomial and canonical forms
                 / 39 \\
                 Principal vectors / 42 \\
                 Elementary similarity transformations / 43 \\
                 Properties of elementary matrices / 45 \\
                 Reduction to triangular canonical form by elementary
                 similarity transformations / 46 \\
                 Elementary unitary transformations / 47 \\
                 Elementary unitary Hermitian matrices / 48 \\
                 Reduction to triangular form by elementary unitary
                 transformations / 50 \\
                 Normal matrices / 51 \\
                 Commuting matrices / 52 \\
                 Eigenvalues of $A B$ / 54 \\
                 Vector and matrix norms / 55 \\
                 Subordinate matrix norms / 56 \\
                 The Euclidean and spectral norms / 57 \\
                 Norms and limits / 58 \\
                 Avoiding use of infinite matrix series / 60 \\
                 2. Perturbation Theory \\
                 Introduction / 62 \\
                 Ostrowski's theorem on continuity of the eigenvalues /
                 63 \\
                 Algebraic functions / 64 \\
                 Numerical examples / 65 \\
                 Perturbation theory for simple eigenvalues / 66 \\
                 Perturbation of corresponding eigenvectors / 67 \\
                 Matrix with linear elementary divisors / 68 \\
                 First-order perturbations of eigenvalues / 68 \\
                 First-order perturbations of eigenvectors / 69 \\
                 Higher-order perturbations / 70 \\
                 Multiple eigenvalues / 70 \\
                 Gerschgorin's theorems / 71 \\
                 Perturbation theory based on Gerschgorin's theorems /
                 72 \\
                 Case 1. Perturbation of a simple eigenvalue $\lambda_1$
                 of a matrix having linear elementary divisors / 72 \\
                 Case 2. Perturbation of a multiple eigenvalue
                 $\lambda_1$ of a matrix having linear elementary
                 divisors / 75 \\
                 Case 3. Perturbation of a simple eigenvalue of a matrix
                 having one or more non-linear elementary divisors / 77
                 \\
                 Case 4. Perturbations of the eigenvalues corresponding
                 to a non-linear elementary divisor of a non-derogatory
                 matrix / 79 \\
                 Case 5. Perturbations of eigenvalues $\lambda_i$ when
                 there is more than one divisor involving $(\lambda_i -
                 \lambda_)$ and at least one of them is non-linear / 80
                 \\
                 Perturbations corresponding to the general distribution
                 of non-linear divisors / 81 \\
                 Perturbation theory for the eigenvectors from Jordan
                 canonical form / 81 \\
                 Perturbations of eigenvectors corresponding to a
                 multiple eigenvalue (linear elementary divisors) / 83
                 \\
                 Limitations of perturbation theory / 84 \\
                 Relationships between the $s_i$ / 85 \\
                 The condition of a computing problem / 86 \\
                 Condition numbers / 86 \\
                 Spectral condition number of A with respect to its
                 eigenproblem / 87 \\
                 Properties of spectral condition number / 88 \\
                 Invariant properties of condition numbers / 89 \\
                 Very ill-conditioned matrices / 90 \\
                 Perturbation theory for real symmetric matrices / 93
                 \\
                 Unsymmetric perturbations / 93 \\
                 Symmetric perturbations / 94 \\
                 Classical techniques / 94 \\
                 Symmetric matrix of rank unity / 97 \\
                 Extremal properties of eigenvalues / 98 \\
                 Minimax characterization of eigenvalues / 99 \\
                 Eigenvalues of the sum of two symmetric matrices / 101
                 \\
                 Practical applications / 102 \\
                 Further applications of minimax principle / 103 \\
                 Separation theorem / 103 \\
                 The Wielandt--Hoffman theorem / 104 \\
                 3. Error Analysis \\
                 Introduction / 110 \\
                 Fixed-point operations / 110 \\
                 Accumulation of inner-products / 111 \\
                 Floating-point operations / 112 \\
                 Simplified expressions for error bounds / 113 \\
                 Error bounds for some basic floating-point computations
                 / 114 \\
                 Bounds for norms of the error matrices / 115 \\
                 Accumulation of inner-products in floating-point
                 arithmetic / 116 \\
                 Error bounds for some basic $\fl_2() $ computations /
                 117 \\
                 Computation of square roots / 118 \\
                 Block-floating vectors and matrices / 119 \\
                 Fundamental limitations oft-digit computation / 120 \\
                 Eigenvalue techniques based on reduction by similarity
                 transformations / 123 \\
                 Error analysis of methods based on elementary
                 non-unitary transformations / 124 \\
                 Error analysis of methods based on elementary unitary
                 transformations / 126 \\
                 Superiority of the unitary transformation / 128 \\
                 Real symmetric matrices / 129 \\
                 Limitations of unitary transformations / 129 \\
                 Error analysis of floating-point computation of plane
                 rotations / 131 \\
                 Multiplication by a plane rotation / 133 \\
                 Multiplication by a sequence of plane rotations / 134
                 \\
                 Error in product of approximate plane rotations / 139
                 \\
                 Errors in similarity transforms / 140 \\
                 Symmetric matrices / 141 \\
                 Plane rotations in fixed-point arithmetic / 143 \\
                 Alternative computation of $\sin \theta$ and $\cos
                 \theta$ / 145 \\
                 Pre-multiplication by an approximate fixed-point
                 rotation / 145 \\
                 Multiplication by a sequence of plane rotations
                 (fixed-point) / 147 \\
                 The computed product of an approximate set of plane
                 rotations / 148 \\
                 Errors in similarity transformations / 148 \\
                 General comments on the error bounds / 151 \\
                 Elementary Hermitian matrices in floating-point / 152
                 \\
                 Error analysis of the computation of an elementary
                 Hermitian matrix / 153 \\
                 Numerical example / 156 \\
                 Pre-multiplication by an approximate elementary
                 Hermitian matrix / 157 \\
                 Multiplication by a sequence of approximate elementary
                 Hermitians / 160 \\
                 Non-unitary elementary matrices analogous to plane
                 rotations / 162 \\
                 Non-unitary elementary matrices analogous to elementary
                 Hermitian matrices / 163 \\
                 Pre-multiplication by a sequence of non-unitary
                 matrices / 165 \\
                 A priori error bounds / 166 \\
                 Departure from normality / 167 \\
                 Simple examples / 169 \\
                 A posteriori bounds / 170 \\
                 A posteriori bounds for normal matrices / 170 \\
                 Rayleigh quotient / 172 \\
                 Error in Rayleigh quotient / 173 \\
                 Hermitian matrices / 174 \\
                 Pathologically close eigenvalues / 176 \\
                 Non-normal matrices / 178 \\
                 Error analysis for a complete eigensystem / 180 \\
                 Numerical example / 181 \\
                 Conditions limiting attainable accuracy / 181 \\
                 Non-linear elementary, divisors / 182 \\
                 Approximate invariant subspaces / 184 \\
                 Almost normal matrices / 187 \\
                 4. Solution of Linear Algebraic Equations \\
                 Introduction / 189 \\
                 Perturbation theory / 189 \\
                 Condition numbers / 191 \\
                 Equilibrated matrices / 192 \\
                 Simple practical examples / 193 \\
                 Condition of matrix of eigenvectors / 193 \\
                 Explicit solution / 194 \\
                 General comments on condition of matrices / 195 \\
                 Relation of ill-conditioning to near-singularity / 196
                 \\
                 Limitations imposed by t-digit arithmetic / 197 \\
                 Algorithms for solving linear equations / 198 \\
                 Gaussian elimination / 200 \\
                 Triangular decomposition / 201 \\
                 Structure of triangular decomposition matrices / 201
                 \\
                 Explicit expressions for elements of the triangles /
                 202 \\
                 Breakdown of Gaussian elimination / 204 \\
                 Numerical stability / 205 \\
                 Significance of the interchanges / 206 \\
                 Numerical example / 207 \\
                 Error analysis of Gaussian elimination / 209 \\
                 Upper bounds for the perturbation matrices using
                 fixed-point arithmetic / 211 \\
                 Upper bound for elements of reduced matrices / 212 \\
                 Complete pivoting / 212 \\
                 Practical procedure with partial pivoting / 214 \\
                 Floating-point error analysis / 214 \\
                 Floating-point decomposition without pivoting / 215 \\
                 Loss of significant figures / 217 \\
                 A popular fallacy / 217 \\
                 Matrices of special form / 218 \\
                 Gaussian elimination on a high-speed computer / 220 \\
                 Solutions corresponding to different right-hand sides /
                 221 \\
                 Direct triangular decomposition / 221 \\
                 Relations between Gaussian elimination and direct
                 triangular decomposition / 223 \\
                 Examples of failure and non-uniqueness of decomposition
                 / 224 \\
                 Triangular decomposition with row interchanges / 225
                 \\
                 Error analysis of triangular decomposition / 227 \\
                 Evaluation of determinants / 228 \\
                 Cholesky decomposition / 229 \\
                 Symmetric matrices which are not positive definite /
                 230 \\
                 Error analysis of Cholesky decomposition in fixed-point
                 arithmetic / 231 \\
                 An ill-conditioned matrix / 233 \\
                 Triangularization using elementary Hermitian matrices /
                 233 \\
                 Error analysis of Householder triangularization / 236
                 \\
                 Triangularization by elementary stabilized matrices of
                 the type M1, / 236 \\
                 Evaluation of determinants of leading principal minors
                 / 237 \\
                 Triangularization by plane rotations / 239 \\
                 Error analysis of Givens reduction / 240 \\
                 Uniqueness of orthogonal triangularization / 241 \\
                 Schmidt orthogonalization / 242 \\
                 Comparison of the methods of triangularization / 244
                 \\
                 Back-substitution / 247 \\
                 High accuracy of computed solutions of triangular sets
                 of equations / 249 \\
                 Solution of a general set of equations / 251 \\
                 Computation of the inverse of a general matrix / 252
                 \\
                 Accuracy of computed solutions / 253 \\
                 Ill-conditioned matrices which give no small pivots /
                 254 \\
                 Iterative improvements of approximate solution / 255
                 \\
                 Effect of rounding errors on the iterative process /
                 256 \\
                 The iterative procedure in fixed-point computation /
                 257 \\
                 Simple example of iterative procedure / 258 \\
                 General comments on the iterative procedure / 260 \\
                 Related iterative procedures / 261 \\
                 Limitations of the iterative procedure / 261 \\
                 Rigorous justification of the iterative method / 262
                 \\
                 5. Hermitian Matrices \\
                 Introduction / 265 \\
                 The classical Jacobi method for real symmetric matrices
                 / 266 \\
                 Rate of convergence / 267 \\
                 Convergence to fixed diagonal matrix / 268 \\
                 Serial Jacobi method / 269 \\
                 The Gerschgorin discs / 269 \\
                 Ultimate quadratic convergence of Jacobi methods / 270
                 \\
                 Close and multiple eigenvalues / 271 \\
                 Numerical examples / 273 \\
                 Calculation of cos 8 and sin B / 274 \\
                 Simpler determination of the angles of rotation / 276
                 \\
                 The threshold Jacobi method / 277 \\
                 Calculation of the eigenvectors / 278 \\
                 Numerical example / 279 \\
                 Error analysis of the Jacobi method / 279 \\
                 Accuracy of the computed eigenvectors / 280 \\
                 Error bounds for fixed-point computation / 281 \\
                 Organizational problems / 282 \\
                 Givens' method / 282 \\
                 Givens' process on a computer with a two-level store /
                 284 \\
                 Floating-point error analysis of Givens' process / 286
                 \\
                 Fixed-point error analysis / 287 \\
                 Numerical example / 288 \\
                 Householder's method / 290 \\
                 Taking advantage of symmetry / 292 \\
                 Storage considerations / 293 \\
                 Householder's process on a computer with a two-level
                 store / 294 \\
                 Householder's method in fixed-point arithmetic / 294
                 \\
                 Numerical example / 296 \\
                 Error analyses of Householder's method / 297 \\
                 Eigenvalues of a symmetric tri-diagonal matrix / 299
                 \\
                 Sturm sequence property / 300 \\
                 Method of bisection / 302 \\
                 Numerical stability of the bisection method / 302 \\
                 Numerical example / 305 \\
                 General comments on the bisection method / 306 \\
                 Small eigenvalues / 307 \\
                 Close eigenvalues and small $\beta_i$ / 308 \\
                 Fixed-point computation of the eigenvalues / 312 \\
                 Computation of the eigenvectors of a tri-diagonal form
                 / 315 \\
                 Instability of the explicit expression for the
                 eigenvector / 316 \\
                 Numerical examples / 319 \\
                 Inverse iteration / 321 \\
                 Choice of initial vector $b$ / 322 \\
                 Error analysis / 323 \\
                 Numerical example / 325 \\
                 Close eigenvalues and small $\beta_i$ / 327 \\
                 Independent vectors corresponding to coincident
                 eigenvalues / 328 \\
                 Alternative method for computing the eigenvectors / 330
                 \\
                 Numerical example / 331 \\
                 Comments on the eigenproblem for tri-diagonal matrices
                 / 332 \\
                 Completion of the Givens and Householder methods / 333
                 \\
                 Comparison of methods / 334 \\
                 Quasi-symmetric tri-diagonal matrices / 335 \\
                 Calculation of the eigenvectors / 336 \\
                 Equations of the form $A x = \lambda B x$ and $A B x =
                 \lambda X $ / 337 \\
                 Numerical example / 339 \\
                 Simultaneous reduction of $A$ and $B$ to diagonal form
                 / 340 \\
                 Tri-diagonal $A$ and $B$ / 340 \\
                 Complex Hermitian matrices / 342 \\
                 6. Reduction of a General Matrix to Condensed Form \\
                 Introduction / 345 \\
                 Givens' method / 345 \\
                 Householder's method / 347 \\
                 Storage considerations / 350 \\
                 Error analysis / 350 \\
                 Relationship between the Givens and Householder methods
                 / 351 \\
                 Elementary stabilized transformations / 353 \\
                 Significance of the permutations / 355 \\
                 Direct reduction to Hessenberg form / 357 \\
                 Incorporation of interchanges / 359 \\
                 Numerical example / 360 \\
                 Error analysis / 363 \\
                 Related error analyses / 365 \\
                 Poor determination of the Hessenberg matrix / 368 \\
                 Reduction to Hessenberg form using stabilized matrices
                 of the type $ M^'_{ji} $ / 368 \\
                 The method of Krylov / 369 \\
                 Gaussian elimination by columns / 370 \\
                 Practical difficulties / 371 \\
                 Condition of O for some standard distributions of
                 eigenvalues / 372 \\
                 Initial vectors of grade less than n / 374 \\
                 Practical experience / 376 \\
                 Generalized Hessenberg processes / 377 \\
                 Failure of the generalized Hessenberg process / 378 \\
                 The Hessenberg method / 379 \\
                 Practical procedure / 380 \\
                 Relation between the Hessenberg method and earlier
                 methods / 381 \\
                 The method of Arnoldi / 382 \\
                 Practical considerations / 383 \\
                 Significance of re-orthogonalization / 385 \\
                 The method of Lanczos / 388 \\
                 Failure of procedure / 389 \\
                 Numerical example / 390 \\
                 The practical Lanczos process / 391 \\
                 Numerical example / 392 \\
                 General comments on the unsymmetric Lanczos process /
                 394 \\
                 The symmetric Lanczos process / 394 \\
                 Reduction of a Hessenberg matrix to a more compact form
                 / 395 \\
                 Reduction of a lower Hessenberg matrix to tri-diagonal
                 form / 396 \\
                 The use of interchanges / 397 \\
                 Effect of a small pivotal element / 398 \\
                 Error analysis / 399 \\
                 The Hessenberg process applied to a lower Hessenberg
                 matrix / 402 \\
                 Relationship between the Hessenberg process and the
                 Lanczos process / 402 \\
                 Reduction of a general matrix to tri-diagonal form /
                 403 \\
                 Comparison with Lanczos method / 404 \\
                 Re-examination of reduction to tri-diagonal form / 404
                 \\
                 Reduction from upper Hessenberg form to Frobenius form
                 / 405 \\
                 Effect of small pivot / 407 \\
                 Numerical example / 408 \\
                 General comments on the stability / 408 \\
                 Specialized upper Hessenberg form / 409 \\
                 Direct determination of the characteristic polynomial /
                 410 \\
                 7. Eigenvalues of Matrices of Condensed Forms \\
                 Introduction / 413 \\
                 Explicit polynomial form / 413 \\
                 Condition numbers of explicit polynomials / 416 \\
                 Some typical distributions of zeros / 417 \\
                 Final assessment of Krylov's method / 421 \\
                 General comments on explicit polynomials / 421 \\
                 Tri-diagonal matrices / 423 \\
                 Determinants of Hessenberg matrices / 426 \\
                 Effect of rounding errors / 427 \\
                 Floating-point accumulation / 428 \\
                 Evaluation by orthogonal transformations / 429 \\
                 Evaluation of determinants of general matrices / 431
                 \\
                 The generalized eigenvalue problem / 432 \\
                 Indirect determinations of the characteristic
                 polynomial / 432 \\
                 Le Verrier's method / 434 \\
                 Iterative methods based on interpolation / 435 \\
                 Asymptotic rate of convergence / 436 \\
                 Multiple zeros / 437 \\
                 Inversion of the functional relationship / 439 \\
                 The method of bisection / 440 \\
                 Newton's method / 441 \\
                 Comparison of Newton's method with interpolation / 442
                 \\
                 Methods giving cubic convergence / 443 \\
                 Laguerre's method / 443 \\
                 Complex zeros / 446 \\
                 Complex conjugate zeros / 447 \\
                 Bairstow's method / 449 \\
                 The generalized Bairstow method / 450 \\
                 Practical considerations / 452 \\
                 Effect of rounding errors on asymptotic convergence /
                 453 \\
                 The method of bisection / 453 \\
                 Successive linear interpolation / 455 \\
                 Multiple and pathologically close eigenvalues / 457 \\
                 Other interpolation methods / 458 \\
                 Methods involving the use of a derivative / 459 \\
                 Criterion for acceptance of a zero / 461 \\
                 Effect of rounding errors / 462 \\
                 Suppression of computed zeros / 464 \\
                 Deflation for Hessenberg matrices / 465 \\
                 Deflation of tri-diagonal matrices / 468 \\
                 Deflation by rotations or stabilized elementary
                 transformations / 469 \\
                 Stability of the deflation / 472 \\
                 General comments on deflation / 474 \\
                 Suppression of computed zeros / 474 \\
                 Suppression of computed quadratic factors / 475 \\
                 General comments on the methods of suppression / 476
                 \\
                 Asymptotic rates of convergence / 478 \\
                 Convergence in the large / 478 \\
                 Complex zeros / 481 \\
                 Recommendations / 482 \\
                 Complex matrices / 483 \\
                 Matrices containing an independent parameter / 483 \\
                 8. The $ L R $ and $ Q R $ Algorithms \\
                 Introduction / 485 \\
                 Real matrices with complex eigenvalues / 486 \\
                 The $ L R $ algorithm / 487 \\
                 Proof of the convergence of the $A_s$ / 489 \\
                 Positive definite Hermitian matrices / 493 \\
                 Complex conjugate eigenvalues / 494 \\
                 Introduction of interchanges / 498 \\
                 Numerical example / 499 \\
                 Convergence of the modified process / 501 \\
                 Preliminary reduction of original matrix / 501 \\
                 Invariance of upper Hessenberg form / 502 \\
                 Simultaneous row and column operations / 504 \\
                 Acceleration of convergence / 505 \\
                 Incorporation of shifts of origin / 506 \\
                 Choice of shift of origin / 507 \\
                 Deflation of the matrix / 509 \\
                 Practical experience of convergence / 510 \\
                 Improved shift strategy / 511 \\
                 Complex conjugate eigenvalues / 512 \\
                 Criticisms of the modified $ L R $ algorithm. / 515 \\
                 The $ Q R $ algorithm / 515 \\
                 Convergence of the $ Q R $ algorithm / 516 \\
                 Formal proof of convergence / 517 \\
                 Disorder of the eigenvalues / 519 \\
                 Eigenvalues of equal modulus / 520 \\
                 Alternative proof for the $ L R $ technique / 521 \\
                 Practical application of the $ Q R $ algorithm / 523
                 \\
                 Shifts of origin / 524 \\
                 Decomposition of A8 / 525 \\
                 Numerical example / 527 \\
                 Practical procedure / 527 \\
                 Avoiding complex conjugate shifts / 528 \\
                 Double $ Q R $ step using elementary Hermitians / 532
                 \\
                 Computational details / 534 \\
                 Decomposition of A8 / 535 \\
                 Double-shift technique for $ L R $ / 537 \\
                 Assessment of $ L R $ and $ Q R $ algorithms / 538 \\
                 Multiple eigenvalues / 540 \\
                 Special use of the deflation process / 543 \\
                 Symmetric matrices / 544 \\
                 Relationship between $ L R $ and $ Q R $ algorithms /
                 545 \\
                 Convergence of the Cholesky $ L R $ algorithm / 546 \\
                 Cubic convergence of the $ Q R $ algorithm / 548 \\
                 Shift of origin in Cholesky $ L R $ / 549 \\
                 Failure of the Cholesky decomposition / 550 \\
                 Cubically convergent $ L R $ process / 551 \\
                 Band matrices / 553 \\
                 $ Q R $ decomposition of a band matrix / 557 \\
                 Error analysis / 561 \\
                 Unsymmetric band matrices / 562 \\
                 Simultaneous decomposition and recombination in $ Q R $
                 algorithm / 565 \\
                 Reduction of band width / 567 \\
                 9. ITERATIVE METHODS \\
                 Introduction / 570 \\
                 The power method / 570 \\
                 Direct iteration with a single vector / 571 \\
                 Shift of origin / 572 \\
                 Effect of rounding errors / 573 \\
                 Variation of $p$ / 576 \\
                 {\em Ad hoc\/} choice of $p$ / 577 \\
                 Aitken's acceleration technique / 578 \\
                 Complex conjugate eigenvalues / 579 \\
                 Calculation of the complex eigenvector / 581 \\
                 Shift of origin / 582 \\
                 Non-linear divisors / 582 \\
                 Simultaneous determination of several eigenvalues / 583
                 \\
                 Complex matrices / 584 \\
                 Deflation / 584 \\
                 Deflation based on similarity transformations / 585 \\
                 Deflation using invariant subspaces / 587 \\
                 Deflation using stabilized elementary transformations /
                 587 \\
                 Deflation using unitary transformations / 589 \\
                 Numerical stability / 590 \\
                 Numerical example / 592 \\
                 Stability of unitary transformations / 594 \\
                 Deflation by non-similarity transformations / 596 \\
                 General reduction using invariant subspaces / 599 \\
                 Practical application / 601 \\
                 Treppen-iteration / 602 \\
                 Accurate determination of complex conjugate eigenvalues
                 / 604 \\
                 Very close eigenvalues / 606 \\
                 Orthogonalization techniques / 606 \\
                 Analogue of treppen-iteration using orthogonalization /
                 607 \\
                 Bi-iteration / 609 \\
                 Numerical example / 610 \\
                 Richardson's purification process / 614 \\
                 Matrix squaring / 615 \\
                 Numerical stability / 616 \\
                 Use of Chebyshev polynomials / 617 \\
                 General assessment of methods based on direct iteration
                 / 618 \\
                 Inverse iteration / 619 \\
                 Error analysis of inverse iteration / 620 \\
                 General comments on the analysis / 621 \\
                 Further refinement of eigenvectors / 622 \\
                 Non-linear elementary divisors / 626 \\
                 Inverse iteration with Hessenberg matrices / 626 \\
                 Degenerate cases / 627 \\
                 Inverse iteration with band matrices / 628 \\
                 Complex conjugate eigenvectors / 629 \\
                 Error analysis / 631 \\
                 Numerical example / 633 \\
                 The generalized eigenvalue problem / 633 \\
                 Variation of approximate eigenvalues / 635 \\
                 Refinement of eigensystems / 637 \\
                 Numerical example / 639 \\
                 Refinement of the eigenvectors / 641 \\
                 Complex conjugate eigenvalues / 643 \\
                 Coincident and pathologically close eigenvalues / 644
                 \\
                 Comments on the ACE programmes / 646 \\
                 Bibliography / 649 \\
                 Index / 657",
}


bibtype: book
filename: fparith.bib
label: Ralston:1966:MMD
editor: Anthony Ralston and Herbert S. Wilf
booktitle: Mathematical Methods for Digital Computers
title: Mathematical Methods for Digital Computers
publisher: pub-WILEY
address: pub-WILEY:adr
pages: various
year: 1966
LCCN: QA76.5 .R3
bibdate: Fri Dec 08 13:02:58 1995
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1995.12.08 13:02:58 ???
note: Three volumes.
acknowledgement: ack-nhfb
rawbooktitle: Mathematical Methods for Digital Computers
raweditor: Anthony Ralston and Herbert S. Wilf
rawnote: Three volumes.
rawtitle: Mathematical Methods for Digital Computers
entry:
@Book{Ralston:1966:MMD,
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  booktitle =    "Mathematical Methods for Digital Computers",
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  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "Three volumes.",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: AFIPS:1967:ACP
booktitle: 1967 Spring Joint Computer Conference, April 18--20, Atlantic City, NJ
title: 1967 Spring Joint Computer Conference, April 18--20, Atlantic City, NJ
volume: 30
publisher: Thompson Book Co.
address: Washington, DC, USA
pages: 799
year: 1967
LCCN: TK7885.A1 J6 1967
bibdate: Sat Sep 24 01:00:25 1994
bibtimestamp: 1994.09.24 01:00:25 ???
series: AFIPS conference proceedings
acknowledgement: ack-nhfb
key: AFIPS SJCC '67
rawbooktitle: {1967 Spring Joint Computer Conference, April 18--20, Atlantic City, NJ}
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  series =       "AFIPS conference proceedings",
  acknowledgement = ack-nhfb,
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bibtype: proceedings
filename: fparith.bib
label: Anonymous:1968:PSA
editor: Anonymous
booktitle: Proc. Sixth Annual Allerton Conference on Circuit and System Theory (Monticello, IL, 1968)
title: Proc. Sixth Annual Allerton Conference on Circuit and System Theory (Monticello, IL, 1968)
publisher: University of Illinois at Urbana-Champaign
address: Urbana, IL, USA
pages: 799
year: 1968
ISSN: 0569-0552 OR 05690552
bibdate: Sat Nov 29 11:03:47 2003
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2003.11.29 11:03:47 ???
acknowledgement: ack-nhfb
rawbooktitle: Proc. Sixth Annual Allerton Conference on Circuit and System Theory (Monticello, {IL, 1968)}
raweditor: Anonymous
rawtitle: Proc. Sixth Annual Allerton Conference on Circuit and System Theory (Monticello, {IL}, 1968)
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  title =        "Proc. Sixth Annual Allerton Conference on Circuit and
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  address =      "Urbana, IL, USA",
  year =         "1968",
  ISBN =         "????",
  ISBN-13 =      "????",
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  LCCN =         "????",
  bibdate =      "Sat Nov 29 11:03:47 2003",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
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bibtype: proceedings
filename: fparith.bib
label: AFIPS:1969:ACPa
booktitle: 1967 Spring Joint Computer Conference, May 14--16, 1969, Boston, MA
title: 1967 Spring Joint Computer Conference, May 14--16, 1969, Boston, MA
volume: 34
publisher: pub-AFIPS
address: pub-AFIPS:adr
pages: 866
year: 1969
LCCN: TK7885.A1 J6 1969
bibdate: Sat Sep 24 01:05:52 1994
bibtimestamp: 1994.09.24 01:05:52 ???
series: AFIPS conference proceedings
acknowledgement: ack-nj
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rawbooktitle: {1967 Spring Joint Computer Conference, May 14--16, 1969, Boston, MA}
rawtitle: {1967 Spring Joint Computer Conference, May 14--16, 1969, Boston, MA}
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  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
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  acknowledgement = ack-nj # " and " # ack-nhfb,
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bibtype: proceedings
filename: fparith.bib
label: AFIPS:1969:ACPb
booktitle: 1969 Fall Joint Computer Conference, November 18--20, 1969, Las Vegas, Nevada
title: 1969 Fall Joint Computer Conference, November 18--20, 1969, Las Vegas, Nevada
volume: 35
publisher: pub-AFIPS
address: pub-AFIPS:adr
pages: 807
year: 1969
bibdate: Fri Sep 16 10:42:51 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.16 10:42:51 ???
series: AFIPS conference proceedings
acknowledgement: ack-nj
key: AFIPS FJCC '69
rawbooktitle: {1969 Fall Joint Computer Conference, November 18--20, 1969, Las Vegas, Nevada}
rawtitle: {1969 Fall Joint Computer Conference, November 18--20, 1969, Las Vegas, Nevada}
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bibtype: proceedings
filename: fparith.bib
label: IEEE:1969:SCA
editor: IEEE
publisher: pub-IEEE
address: pub-IEEE:adr
year: 1969
bibdate: Wed Apr 27 17:36:48 2005
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2005.04.27 17:36:48 ???
remark: Reprinted in IEEE Transactions on Computers, Special issue on computer arithmetic (when??)
acknowledgement: ack-nhfb
raweditor: {IEEE}
booktitle:
Papers presented at a workshop sponsored by the Logic Design Subcommittee of the Systems Technical Committee (IEEE Computer Group), 1969

title:
Papers presented at a workshop sponsored by the Logic Design Subcommittee of the Systems Technical Committee (IEEE Computer Group), 1969

rawbooktitle:
Papers presented at a workshop sponsored by the {Logic Design Subcommittee of the Systems Technical Committee (IEEE Computer Group), 1969}

rawtitle:
Papers presented at a workshop sponsored by the {Logic Design Subcommittee of the Systems Technical Committee (IEEE Computer Group), 1969}

entry:
@Proceedings{IEEE:1969:SCA,
  editor =       "{IEEE}",
  booktitle =    "Papers presented at a workshop sponsored by the {Logic
                 Design Subcommittee of the Systems Technical Committee
                 (IEEE Computer Group), 1969}",
  title =        "Papers presented at a workshop sponsored by the {Logic
                 Design Subcommittee of the Systems Technical Committee
                 (IEEE Computer Group), 1969}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "????",
  year =         "1969",
  LCCN =         "????",
  bibdate =      "Wed Apr 27 17:36:48 2005",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  remark =       "Reprinted in IEEE Transactions on Computers, Special
                 issue on computer arithmetic (when??)",
  xxnote =       "Where was the conference?? Were the proceedings
                 published?? What was the conference title?? Is this the
                 proceedings of ARITH '69 (Minneapolis, MN, USA, June
                 16, 1969)?",
}


bibtype: proceedings
filename: fparith.bib
label: Morrell:1969:IPP
editor: A. J. H. Morrell
publisher: pub-NORTH-HOLLAND
address: pub-NORTH-HOLLAND:adr
year: 1969
ISBN: 0-7204-2032-6 OR 0720420326
ISBN13: 978-0-7204-2032-6 OR 9780720420326
LCCN: QA76 .I578
bibdate: Fri Nov 11 07:22:32 2005
bibtimestamp: 2005.11.11 07:22:32 ???
remark: Volume 1. Mathematics, software. Volume 2. Hardware, applications.
acknowledgement: ack-nhfb
raweditor: A. J. H. Morrell
booktitle:
Information processing 68: proceedings of IFIP congress 1968, organized by the International Federation for Information Processing, Edinburgh, 5--10 August 1968

title:
Information processing 68: proceedings of IFIP congress 1968, organized by the International Federation for Information Processing, Edinburgh, 5--10 August 1968

bibsource:
https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; melvyl.cdlib.org:210/CDL90

subject:
Electronic data processing; Congresses; Electronic digital computers; Congresses; Machine theory; Congresses

rawbooktitle:
{Information processing 68: proceedings of IFIP congress 1968, organized by the International Federation for Information Processing, Edinburgh, 5--10 August 1968}

rawtitle:
{Information processing 68: proceedings of IFIP congress 1968, organized by the International Federation for Information Processing, Edinburgh, 5--10 August 1968}

entry:
@Proceedings{Morrell:1969:IPP,
  editor =       "A. J. H. Morrell",
  booktitle =    "{Information processing 68: proceedings of IFIP
                 congress 1968, organized by the International
                 Federation for Information Processing, Edinburgh, 5--10
                 August 1968}",
  title =        "{Information processing 68: proceedings of IFIP
                 congress 1968, organized by the International
                 Federation for Information Processing, Edinburgh, 5--10
                 August 1968}",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "????",
  year =         "1969",
  ISBN =         "0-7204-2032-6",
  ISBN-13 =      "978-0-7204-2032-6",
  LCCN =         "QA76 .I578",
  bibdate =      "Fri Nov 11 07:22:32 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 melvyl.cdlib.org:210/CDL90",
  acknowledgement = ack-nhfb,
  remark =       "Volume 1. Mathematics, software. Volume 2. Hardware,
                 applications.",
  subject =      "Electronic data processing; Congresses; Electronic
                 digital computers; Congresses; Machine theory;
                 Congresses",
}


bibtype: proceedings
filename: fparith.bib
label: Morrell:1970:IPP
editor: A. J. H. Morrell
booktitle: Information Processing 68 (Proc. IFIP Congress, Edinburgh, 1968), Vol. 1: Mathematics, Software
title: Information Processing 68 (Proc. IFIP Congress, Edinburgh, 1968), Vol. 1: Mathematics, Software
publisher: pub-NORTH-HOLLAND
address: pub-NORTH-HOLLAND:adr
pages: various
year: 1970
ISBN: 0-7204-2032-6 OR 0720420326
ISBN13: 978-0-7204-2032-6 OR 9780720420326
LCCN: QA 75.5 I57 1968
bibdate: Thu Jan 18 13:48:59 1996
bibtimestamp: 1996.01.18 13:48:59 ???
acknowledgement: ack-nhfb
rawbooktitle: Information Processing 68 (Proc. {IFIP} Congress, Edinburgh, 1968), Vol. 1: Mathematics, Software
raweditor: A. J. H. Morrell
rawtitle: Information Processing 68 (Proc. {IFIP} Congress, Edinburgh, 1968), Vol. 1: Mathematics, Software
bibsource:
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

entry:
@Proceedings{Morrell:1970:IPP,
  editor =       "A. J. H. Morrell",
  booktitle =    "Information Processing 68 (Proc. {IFIP} Congress,
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  title =        "Information Processing 68 (Proc. {IFIP} Congress,
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  bibdate =      "Thu Jan 18 13:48:59 1996",
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  acknowledgement = ack-nhfb,
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bibtype: proceedings
filename: fparith.bib
label: AFIPS:1971:ACP
booktitle: 1971 Spring Joint Computer Conference, May 18--20, 1971, Atlantic City, New Jersey
title: 1971 Spring Joint Computer Conference, May 18--20, 1971, Atlantic City, New Jersey
volume: 38
publisher: pub-AFIPS
address: pub-AFIPS:adr
pages: 631
year: 1971
bibdate: Fri Sep 16 10:47:01 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.16 10:47:01 ???
series: AFIPS conference proceedings
acknowledgement: ack-nj
key: AFIPS SJCC '71
rawbooktitle: 1971 Spring Joint Computer Conference, May 18--20, 1971, Atlantic City, New Jersey
rawtitle: 1971 Spring Joint Computer Conference, May 18--20, 1971, Atlantic City, New Jersey
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  booktitle =    "1971 Spring Joint Computer Conference, May 18--20,
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bibtype: proceedings
filename: fparith.bib
label: Freiman:1971:PIC
editor: C. V. Freiman and J. E. Griffith and J. L. Rosenfeld
publisher: pub-NORTH-HOLLAND
address: pub-NORTH-HOLLAND:adr
pages: 631
year: 1971
ISBN: 0-7204-2063-6 OR 0720420636
ISBN13: 978-0-7204-2063-0 OR 9780720420630
bibdate: Sat Nov 29 07:10:48 2003
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2003.11.29 07:10:48 ???
note: Eight booklets in two volumes.
acknowledgement: ack-nhfb
raweditor: C. V. Freiman and J. E. Griffith and J. L. Rosenfeld
rawnote: Eight booklets in two volumes.
booktitle:
Information processing 71: proceedings of IFIP Congress 71 organized by the International Federation for Information Processing, Ljubljana, Yugoslavia, August 23--28, 1971

title:
Information processing 71: proceedings of IFIP Congress 71 organized by the International Federation for Information Processing, Ljubljana, Yugoslavia, August 23--28, 1971

rawbooktitle:
Information processing 71: proceedings of {IFIP} Congress 71 organized by the International Federation for Information Processing, Ljubljana, Yugoslavia, August 23--28, 1971

rawtitle:
Information processing 71: proceedings of {IFIP} Congress 71 organized by the International Federation for Information Processing, Ljubljana, Yugoslavia, August 23--28, 1971

entry:
@Proceedings{Freiman:1971:PIC,
  editor =       "C. V. Freiman and J. E. Griffith and J. L. Rosenfeld",
  booktitle =    "Information processing 71: proceedings of {IFIP}
                 Congress 71 organized by the International Federation
                 for Information Processing, Ljubljana, Yugoslavia,
                 August 23--28, 1971",
  title =        "Information processing 71: proceedings of {IFIP}
                 Congress 71 organized by the International Federation
                 for Information Processing, Ljubljana, Yugoslavia,
                 August 23--28, 1971",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  year =         "1971",
  ISBN =         "0-7204-2063-6",
  ISBN-13 =      "978-0-7204-2063-0",
  LCCN =         "????",
  bibdate =      "Sat Nov 29 07:10:48 2003",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "Eight booklets in two volumes.",
  acknowledgement = ack-nhfb,
}


bibtype: book
filename: fparith.bib
label: Gear:1971:NIV
author: Charles William Gear
booktitle: Numerical Initial Value Problems in Ordinary Differential Equations
title: Numerical Initial Value Problems in Ordinary Differential Equations
publisher: pub-PH
address: pub-PH:adr
pages: xvii + 253
year: 1971
ISBN: 0-13-626606-1 (hardcover) OR 0136266061 (hardcover)
ISBN13: 978-0-13-626606-8 (hardcover) OR 9780136266068 (hardcover)
LCCN: QA372 .G4
bibdate: Sat Dec 19 09:50:43 MST 2020
bibtimestamp: 2020.12.19 09:50:43 MST
series: Prentice-Hall series in automatic computation
acknowledgement: ack-nhfb
authordates: (1935-- ldots )
rawauthor: Charles William Gear
rawbooktitle: Numerical Initial Value Problems in Ordinary Differential Equations
rawtitle: Numerical Initial Value Problems in Ordinary Differential Equations
bibsource:
fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

subject:
Numerical integration; Data processing; Differential equations; Mathematics; yEquations diffyerentielles; Informatique; Intyegration numyerique; Data processing.; Problyemes aux valeurs initiales; Analyse numyerique.; Problyemes et exercices.; Intyegration numyerique.; Mathyematiques.

TOC:
1: Introduction 2: Higher order one-step methods 3: Systems of equations and equations of order greater than one 4: Convergence, error bounds, and error estimates for one-step methods 5: The choice of step size and order 6: Extrapolation methods 7: Multivalue or multistep methods --- introduction 8: General multistep methods, order and stability 9: Multivalue methods 10: Existence, convergence, and error estimates for multivalue methods 11: Special methods for special problems [stiff ODEs] 12: Choosing a method

rawTOC:
1: Introduction \\ 2: Higher order one-step methods \\ 3: Systems of equations and equations of order greater than one \\ 4: Convergence, error bounds, and error estimates for one-step methods \\ 5: The choice of step size and order \\ 6: Extrapolation methods \\ 7: Multivalue or multistep methods --- introduction \\ 8: General multistep methods, order and stability \\ 9: Multivalue methods \\ 10: Existence, convergence, and error estimates for multivalue methods \\ 11: Special methods for special problems [stiff ODEs]\\ 12: Choosing a method

entry:
@Book{Gear:1971:NIV,
  author =       "Charles William Gear",
  booktitle =    "Numerical Initial Value Problems in Ordinary
                 Differential Equations",
  title =        "Numerical Initial Value Problems in Ordinary
                 Differential Equations",
  publisher =    pub-PH,
  address =      pub-PH:adr,
  pages =        "xvii + 253",
  year =         "1971",
  ISBN =         "0-13-626606-1 (hardcover)",
  ISBN-13 =      "978-0-13-626606-8 (hardcover)",
  LCCN =         "QA372 .G4",
  bibdate =      "Sat Dec 19 09:50:43 MST 2020",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       "Prentice-Hall series in automatic computation",
  acknowledgement = ack-nhfb,
  author-dates = "(1935-- \ldots{})",
  remark-1 =     "Foreword on page vii by series editor George Forsythe,
                 and the author's host during the sabbatical year when
                 he wrote this book.",
  remark-2 =     "The initial chapters contain multiple references to
                 work by Peter Henrici.",
  remark-3 =     "The initial chapters discuss the error amplification
                 from chopping arithmetic on the IBM 7090 series
                 machines on the solution of ODEs, and point out the
                 need for better rounding algorithms, and higher
                 numerical precision, for solving ODEs.",
  subject =      "Numerical integration; Data processing; Differential
                 equations; Mathematics; {\'y}Equations
                 diff{\'y}erentielles; Informatique; Int{\'y}egration
                 num{\'y}erique; Data processing.; Probl{\'y}emes aux
                 valeurs initiales; Analyse num{\'y}erique.;
                 Probl{\'y}emes et exercices.; Int{\'y}egration
                 num{\'y}erique.; Math{\'y}ematiques.",
  tableofcontents = "1: Introduction \\
                 2: Higher order one-step methods \\
                 3: Systems of equations and equations of order greater
                 than one \\
                 4: Convergence, error bounds, and error estimates for
                 one-step methods \\
                 5: The choice of step size and order \\
                 6: Extrapolation methods \\
                 7: Multivalue or multistep methods --- introduction \\
                 8: General multistep methods, order and stability \\
                 9: Multivalue methods \\
                 10: Existence, convergence, and error estimates for
                 multivalue methods \\
                 11: Special methods for special problems [stiff
                 ODEs]\\
                 12: Choosing a method",
}


bibtype: book
filename: fparith.bib
label: Rice:1971:MS
editor: John R. Rice
booktitle: Mathematical Software
title: Mathematical Software
publisher: pub-ACADEMIC
address: pub-ACADEMIC:adr
pages: xvii + 515
year: 1971
ISBN: 0-12-587250-X OR 012587250X
ISBN13: 978-0-12-587250-8 OR 9780125872508
LCCN: QA1 .M26
bibdate: Thu Sep 15 18:56:52 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.15 18:56:52 ???
acknowledgement: ack-nhfb
rawbooktitle: Mathematical Software
raweditor: John R. Rice
rawtitle: Mathematical Software
note:
Based on the proceedings of the Mathematical Software Symposium held at Purdue University, Lafayette, Indiana, USA, April 1--3, 1970.

rawnote:
Based on the proceedings of the Mathematical Software Symposium held at Purdue University, Lafayette, Indiana, USA, April 1--3, 1970.

entry:
@Book{Rice:1971:MS,
  editor =       "John R. Rice",
  booktitle =    "Mathematical Software",
  title =        "Mathematical Software",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xvii + 515",
  year =         "1971",
  ISBN =         "0-12-587250-X",
  ISBN-13 =      "978-0-12-587250-8",
  LCCN =         "QA1 .M26",
  bibdate =      "Thu Sep 15 18:56:52 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "Based on the proceedings of the Mathematical Software
                 Symposium held at Purdue University, Lafayette,
                 Indiana, USA, April 1--3, 1970.",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: ACM:1972:PAA
editor: ACM
booktitle: Proceedings of the ACM annual conference, August 1972, Boston, Massachusetts
title: Proceedings of the ACM annual conference, August 1972, Boston, Massachusetts
publisher: pub-ACM
address: pub-ACM:adr
pages: xiii + 1156
year: 1972
LCCN: QA76; TK7885
bibdate: Fri Nov 28 11:28:06 2003
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2003.11.28 11:28:06 ???
note: Two volumes.
acknowledgement: ack-nhfb
rawbooktitle: Proceedings of the {ACM} annual conference, August 1972, Boston, Massachusetts
raweditor: {ACM}
rawnote: Two volumes.
rawtitle: Proceedings of the {ACM} annual conference, August 1972, Boston, Massachusetts
entry:
@Proceedings{ACM:1972:PAA,
  editor =       "{ACM}",
  booktitle =    "Proceedings of the {ACM} annual conference, August
                 1972, Boston, Massachusetts",
  title =        "Proceedings of the {ACM} annual conference, August
                 1972, Boston, Massachusetts",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "xiii + 1156",
  year =         "1972",
  LCCN =         "QA76; TK7885",
  bibdate =      "Fri Nov 28 11:28:06 2003",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "Two volumes.",
  acknowledgement = ack-nhfb,
}


bibtype: book
filename: fparith.bib
label: Cardenas:1972:CS
editor: Alfonso F. Cardenas and Leon Presser and Miguel A. Marin
booktitle: Computer Science
title: Computer Science
publisher: pub-WILEY-INTERSCIENCE
address: pub-WILEY-INTERSCIENCE:adr
pages: xii + 522
year: 1972
ISBN: 0-471-13468-6 OR 0471134686
ISBN13: 978-0-471-13468-8 OR 9780471134688
LCCN: QA76.5 .C365; TK7885 .C178c
bibdate: Sat Nov 29 11:09:31 2003
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2003.11.29 11:09:31 ???
acknowledgement: ack-nhfb
rawbooktitle: Computer Science
raweditor: Alfonso F. Cardenas and Leon Presser and Miguel A. Marin
rawtitle: Computer Science
entry:
@Book{Cardenas:1972:CS,
  editor =       "Alfonso F. Cardenas and Leon Presser and Miguel A.
                 Marin",
  booktitle =    "Computer Science",
  title =        "Computer Science",
  publisher =    pub-WILEY-INTERSCIENCE,
  address =      pub-WILEY-INTERSCIENCE:adr,
  pages =        "xii + 522",
  year =         "1972",
  ISBN =         "0-471-13468-6",
  ISBN-13 =      "978-0-471-13468-8",
  LCCN =         "QA76.5 .C365; TK7885 .C178c",
  bibdate =      "Sat Nov 29 11:09:31 2003",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: IEEE:1972:IAD
editor: IEEE
publisher: pub-IEEE
address: pub-IEEE:adr
pages: xiii + 340
year: 1972
LCCN: TK7885.A1 C53 1972
bibdate: Wed Mar 21 09:29:22 2007
bibtimestamp: 2007.03.21 09:29:22 ???
note: IEEE order number 72CH0659-3C.
acknowledgement: ack-nhfb
raweditor: {IEEE}
rawnote: IEEE order number 72CH0659-3C.
booktitle:
Innovative architecture: digest of papers: COMPCON 72, 6. annual IEEE Computer Society International Conference, Jack Tar Hotel, San Francisco, California, September 12--14, 1972

title:
Innovative architecture: digest of papers: COMPCON 72, 6. annual IEEE Computer Society International Conference, Jack Tar Hotel, San Francisco, California, September 12--14, 1972

rawbooktitle:
{Innovative architecture: digest of papers: COMPCON 72, 6. annual IEEE Computer Society International Conference, Jack Tar Hotel, San Francisco, California, September 12--14, 1972}

rawtitle:
{Innovative architecture: digest of papers: COMPCON 72, 6. annual IEEE Computer Society International Conference, Jack Tar Hotel, San Francisco, California, September 12--14, 1972}

entry:
@Proceedings{IEEE:1972:IAD,
  editor =       "{IEEE}",
  booktitle =    "{Innovative architecture: digest of papers: COMPCON
                 72, 6. annual IEEE Computer Society International
                 Conference, Jack Tar Hotel, San Francisco, California,
                 September 12--14, 1972}",
  title =        "{Innovative architecture: digest of papers: COMPCON
                 72, 6. annual IEEE Computer Society International
                 Conference, Jack Tar Hotel, San Francisco, California,
                 September 12--14, 1972}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xiii + 340",
  year =         "1972",
  LCCN =         "TK7885.A1 C53 1972",
  bibdate =      "Wed Mar 21 09:29:22 2007",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "IEEE order number 72CH0659-3C.",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: IEEE:1972:ITS
editor: IEEE
booktitle: 2nd IEEE-TCCA Symposium on Computer Arithmetic, College Park, Maryland, May 15--16, Maryland
title: 2nd IEEE-TCCA Symposium on Computer Arithmetic, College Park, Maryland, May 15--16, Maryland
publisher: pub-IEEE
address: pub-IEEE:adr
year: 1972
bibdate: Wed Apr 27 17:36:48 2005
bibtimestamp: 2005.04.27 17:36:48 ???
keywords: ARITH-2
acknowledgement: ack-nhfb
rawbooktitle: {2nd IEEE-TCCA Symposium on Computer Arithmetic, College Park, Maryland, May 15--16, Maryland}
raweditor: {IEEE}
rawtitle: {2nd IEEE-TCCA Symposium on Computer Arithmetic, College Park, Maryland, May 15--16, Maryland}
remark:
Selected papers from this conference are reprinted in a special issue on computer arithmetic in IEEE Transactions on Computers, volume C-22, number 6, June 1973. Otherwise, the remaining papers appear not to have been published, at least not in one location.

entry:
@Proceedings{IEEE:1972:ITS,
  editor =       "{IEEE}",
  booktitle =    "{2nd IEEE-TCCA Symposium on Computer Arithmetic,
                 College Park, Maryland, May 15--16, Maryland}",
  title =        "{2nd IEEE-TCCA Symposium on Computer Arithmetic,
                 College Park, Maryland, May 15--16, Maryland}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "????",
  year =         "1972",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Wed Apr 27 17:36:48 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  keywords =     "ARITH-2",
  remark =       "Selected papers from this conference are reprinted in
                 a special issue on computer arithmetic in IEEE
                 Transactions on Computers, volume C-22, number 6, June
                 1973. Otherwise, the remaining papers appear not to
                 have been published, at least not in one location.",
}


bibtype: proceedings
filename: fparith.bib
label: Zaremba:1972:ANT
editor: S. K. Zaremba
publisher: pub-ACADEMIC
address: pub-ACADEMIC:adr
pages: xii + 489
year: 1972
ISBN: 0-12-775950-6 OR 0127759506
ISBN13: 978-0-12-775950-0 OR 9780127759500
LCCN: QA297 .A67
bibdate: Mon Aug 02 10:53:03 2004
bibtimestamp: 2004.08.02 10:53:03 ???
language: French and English
acknowledgement: ack-nhfb
raweditor: S. K. Zaremba
booktitle:
Applications of Number Theory to Numerical Analysis = Applications de la theorie des nombres a l'analyse numerique. Proceedings of the symposium at the Centre for Research in Mathematics, University of Montreal, September 9--14, 1971

title:
Applications of Number Theory to Numerical Analysis = Applications de la theorie des nombres a l'analyse numerique. Proceedings of the symposium at the Centre for Research in Mathematics, University of Montreal, September 9--14, 1971

bibsource:
ftp://ftp.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

rawbooktitle:
Applications of Number Theory to Numerical Analysis = {Applications} de la th{\'e}orie des nombres {\`a} l'analyse num{\'e}rique. Proceedings of the symposium at the {Centre for Research in Mathematics, University of Montreal, September 9--14, 1971}

rawtitle:
Applications of Number Theory to Numerical Analysis = {Applications} de la th{\'e}orie des nombres {\`a} l'analyse num{\'e}rique. Proceedings of the symposium at the {Centre for Research in Mathematics, University of Montreal, September 9--14, 1971}

entry:
@Proceedings{Zaremba:1972:ANT,
  editor =       "S. K. Zaremba",
  booktitle =    "Applications of Number Theory to Numerical Analysis =
                 {Applications} de la th{\'e}orie des nombres {\`a}
                 l'analyse num{\'e}rique. Proceedings of the symposium
                 at the {Centre for Research in Mathematics, University
                 of Montreal, September 9--14, 1971}",
  title =        "Applications of Number Theory to Numerical Analysis =
                 {Applications} de la th{\'e}orie des nombres {\`a}
                 l'analyse num{\'e}rique. Proceedings of the symposium
                 at the {Centre for Research in Mathematics, University
                 of Montreal, September 9--14, 1971}",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xii + 489",
  year =         "1972",
  ISBN =         "0-12-775950-6",
  ISBN-13 =      "978-0-12-775950-0",
  LCCN =         "QA297 .A67",
  bibdate =      "Mon Aug 02 10:53:03 2004",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  language =     "French and English",
}


bibtype: proceedings
filename: fparith.bib
label: ACM:1974:CRS
editor: ACM
publisher: pub-ACM
address: pub-ACM:adr
pages: iv + 347
year: 1974
LCCN: QA76.6 .A13 1974
bibdate: Thu Dec 3 07:11:18 MST 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1998.12.03 07:11:18 MST
acknowledgement: ack-nhfb
raweditor: {ACM}
booktitle:
Conference record of sixth annual ACM Symposium on Theory of Computing: papers presented at the symposium, Seattle, Washington, April 30--May 2, 1974

title:
Conference record of sixth annual ACM Symposium on Theory of Computing: papers presented at the symposium, Seattle, Washington, April 30--May 2, 1974

keywords:
computational complexity --- congresses; electronic digital computers --- programming --- congresses

rawbooktitle:
Conference record of sixth annual {ACM} Symposium on Theory of Computing: papers presented at the symposium, Seattle, Washington, April 30--May 2, 1974

rawtitle:
Conference record of sixth annual {ACM} Symposium on Theory of Computing: papers presented at the symposium, Seattle, Washington, April 30--May 2, 1974

entry:
@Proceedings{ACM:1974:CRS,
  editor =       "{ACM}",
  booktitle =    "Conference record of sixth annual {ACM} Symposium on
                 Theory of Computing: papers presented at the symposium,
                 Seattle, Washington, April 30--May 2, 1974",
  title =        "Conference record of sixth annual {ACM} Symposium on
                 Theory of Computing: papers presented at the symposium,
                 Seattle, Washington, April 30--May 2, 1974",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "iv + 347",
  year =         "1974",
  LCCN =         "QA76.6 .A13 1974",
  bibdate =      "Thu Dec 3 07:11:18 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  keywords =     "computational complexity --- congresses; electronic
                 digital computers --- programming --- congresses",
  xxISBN =       "none",
}


bibtype: proceedings
filename: fparith.bib
label: Panagiotopoulos:1974:PCC
editor: Antonios Ch. Panagiotopoulos
booktitle: Proceedings of the C. Caratheodory International Symposium (Athens, 1973)
title: Proceedings of the C. Caratheodory International Symposium (Athens, 1973)
publisher: Greek Mathematical Society
address: Athens, Greece
pages: 634
year: 1974
bibdate: Fri Dec 08 13:53:34 1995
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1995.12.08 13:53:34 ???
acknowledgement: ack-nhfb
rawbooktitle: Proceedings of the C. Carath{\'e}odory International Symposium (Athens, 1973)
raweditor: Antonios Ch. Panagiotopoulos
rawtitle: Proceedings of the {C}. Carath{\'e}odory International Symposium (Athens, 1973)
entry:
@Proceedings{Panagiotopoulos:1974:PCC,
  editor =       "Antonios Ch. Panagiotopoulos",
  booktitle =    "Proceedings of the C. Carath{\'e}odory International
                 Symposium (Athens, 1973)",
  title =        "Proceedings of the {C}. Carath{\'e}odory International
                 Symposium (Athens, 1973)",
  publisher =    "Greek Mathematical Society",
  address =      "Athens, Greece",
  pages =        "634",
  year =         "1974",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Fri Dec 08 13:53:34 1995",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: IEEE:1975:SCA
publisher: pub-IEEE
address: pub-IEEE:adr
pages: viii + 249
year: 1975
LCCN: QA76.6.S919 1975
bibdate: Fri Nov 28 18:13:53 2003
bibtimestamp: 2003.11.28 18:13:53 ???
note: IEEE order number CH1017-3C.
acknowledgement: ack-nhfb
key: IEEE SCA '75
rawnote: IEEE order number CH1017-3C.
booktitle:
3rd Symposium on Computer Arithmetic, November 19--20, 1975, Southern Methodist University, Dallas, Texas

title:
3rd Symposium on Computer Arithmetic, November 19--20, 1975, Southern Methodist University, Dallas, Texas

keywords:
ARITH-3; Computer arithmetic and logic units --- Congresses.; Electronic digital computers --- Programming --- Congresses.; Floating-point arithmetic --- Congresses

rawbooktitle:
3rd Symposium on Computer Arithmetic, November 19--20, 1975, Southern Methodist University, Dallas, Texas

entry:
@Proceedings{IEEE:1975:SCA,
  key =          "IEEE SCA '75",
  booktitle =    "3rd Symposium on Computer Arithmetic, November 19--20,
                 1975, Southern Methodist University, Dallas, Texas",
  title =        "3rd Symposium on Computer Arithmetic, November 19--20,
                 1975, Southern Methodist University, Dallas, Texas",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "viii + 249",
  year =         "1975",
  LCCN =         "QA76.6.S919 1975",
  bibdate =      "Fri Nov 28 18:13:53 2003",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "IEEE order number CH1017-3C.",
  acknowledgement = ack-nhfb,
  keywords =     "ARITH-3; Computer arithmetic and logic units ---
                 Congresses.; Electronic digital computers ---
                 Programming --- Congresses.; Floating-point arithmetic
                 --- Congresses",
  xxISBN =       "(none)",
}


bibtype: book
filename: fparith.bib
label: Randell:1975:ODC
editor: Brian Randell
booktitle: The Origins of Digital Computers: Selected Papers
title: The Origins of Digital Computers: Selected Papers
publisher: pub-SV
address: pub-SV:adr
edition: Second
pages: xvi + 464
year: 1975
DOI: https://doi.org/10.1007/978-3-642-96242-4
LCCN: ?TK7888.3 .R36 1975
bibdate: Wed Oct 13 09:24:25 MDT 2010
bibtimestamp: 2010.10.13 09:24:25 MDT
series: Texts and monographs in computer science
remark: See also other editions cite Randell:1973:ODC,Randell:1982:ODC.
subject: Electronic digital computers; History; Calculators
acknowledgement: ack-nhfb
rawbooktitle: The Origins of Digital Computers: Selected Papers
raweditor: Brian Randell
rawtitle: The Origins of Digital Computers: Selected Papers
ISBN:
0-387-07114-8, 3-540-07114-8, 3-642-96244-0, 3-642-96242-4 (e-book) OR 0387071148, 3540071148, 3642962440, 3642962424 (ebook)

ISBN13:
978-0-387-07114-5, 978-3-540-07114-3, 978-3-642-96244-8, 978-3-642-96242-4 (e-book) OR 9780387071145, 9783540071143, 9783642962448, 9783642962424 (ebook)

bibsource:
fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/b/babbage-charles.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

TOC:
Front Matter / / i--xvi Introduction / Brian Randell / 1--6 Analytical Engines / Charles Babbage, Mr. C. W. Merrifield, H. P. Babbage, Percy E. Ludgate, ldots / 7--123 Tabulating Machines / H. Hollerith, L. Couffignal, H.-J. Dreyer, A. Walther / 125--153 Zuse and Schreyer / Konrad Zuse, Helmut Schreyer / 155--186 Aiken and IBM / Howard H. Aiken, Grace M. Hopper, W. J. Eckert, John W. Sheldon, Liston Tatum / 187--235 Bell Telephone Laboratories / G. R. Stibitz, O. Cesareo, Joseph Juley, Franz L. Alt / 237--286 The Advent of Electronic Computers / E. William Phillips O.B.E., F.I.A., John V. Atanasoff, D. Michie, John W. Mauchly, ldots / 287--347 Stored Program Electronic Computers / John von Neumann, John W. Mauchly, Arthur W. Burks, Herman H. Goldstine, F. C. Williams, ldots / 349--401 Back Matter / / 403--464

rawTOC:
Front Matter / / i--xvi \\ Introduction / Brian Randell / 1--6 \\ Analytical Engines / Charles Babbage, Mr. C. W. Merrifield, H. P. Babbage, Percy E. Ludgate, \ldots{} / 7--123 \\ Tabulating Machines / H. Hollerith, L. Couffignal, H.-J. Dreyer, A. Walther / 125--153 \\ Zuse and Schreyer / Konrad Zuse, Helmut Schreyer / 155--186 \\ Aiken and IBM / Howard H. Aiken, Grace M. Hopper, W. J. Eckert, John W. Sheldon, Liston Tatum / 187--235 \\ Bell Telephone Laboratories / G. R. Stibitz, O. Cesareo, Joseph Juley, Franz L. Alt / 237--286 \\ The Advent of Electronic Computers / E. William Phillips O.B.E., F.I.A., John V. Atanasoff, D. Michie, John W. Mauchly, \ldots{} / 287--347 Stored Program Electronic Computers / John von Neumann, John W. Mauchly, Arthur W. Burks, Herman H. Goldstine, F. C. Williams, \ldots{} / 349--401 \\ Back Matter / / 403--464

entry:
@Book{Randell:1975:ODC,
  editor =       "Brian Randell",
  booktitle =    "The Origins of Digital Computers: Selected Papers",
  title =        "The Origins of Digital Computers: Selected Papers",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  edition =      "Second",
  pages =        "xvi + 464",
  year =         "1975",
  DOI =          "https://doi.org/10.1007/978-3-642-96242-4",
  ISBN =         "0-387-07114-8, 3-540-07114-8, 3-642-96244-0,
                 3-642-96242-4 (e-book)",
  ISBN-13 =      "978-0-387-07114-5, 978-3-540-07114-3,
                 978-3-642-96244-8, 978-3-642-96242-4 (e-book)",
  LCCN =         "?TK7888.3 .R36 1975",
  bibdate =      "Wed Oct 13 09:24:25 MDT 2010",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/b/babbage-charles.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       "Texts and monographs in computer science",
  acknowledgement = ack-nhfb,
  remark =       "See also other editions
                 \cite{Randell:1973:ODC,Randell:1982:ODC}.",
  subject =      "Electronic digital computers; History; Calculators",
  tableofcontents = "Front Matter / / i--xvi \\
                 Introduction / Brian Randell / 1--6 \\
                 Analytical Engines / Charles Babbage, Mr. C. W.
                 Merrifield, H. P. Babbage, Percy E. Ludgate, \ldots{} /
                 7--123 \\
                 Tabulating Machines / H. Hollerith, L. Couffignal,
                 H.-J. Dreyer, A. Walther / 125--153 \\
                 Zuse and Schreyer / Konrad Zuse, Helmut Schreyer /
                 155--186 \\
                 Aiken and IBM / Howard H. Aiken, Grace M. Hopper, W. J.
                 Eckert, John W. Sheldon, Liston Tatum / 187--235 \\
                 Bell Telephone Laboratories / G. R. Stibitz, O.
                 Cesareo, Joseph Juley, Franz L. Alt / 237--286 \\
                 The Advent of Electronic Computers / E. William
                 Phillips O.B.E., F.I.A., John V. Atanasoff, D. Michie,
                 John W. Mauchly, \ldots{} / 287--347 Stored Program
                 Electronic Computers / John von Neumann, John W.
                 Mauchly, Arthur W. Burks, Herman H. Goldstine, F. C.
                 Williams, \ldots{} / 349--401 \\
                 Back Matter / / 403--464",
}


bibtype: proceedings
filename: fparith.bib
label: Swamy:1975:PEM
editor: M. N. S. Swamy
publisher: pub-WESTERN-PERIODICALS
address: pub-WESTERN-PERIODICALS:adr
pages: xvi + 659
year: 1975
bibdate: Fri Dec 08 13:57:52 1995
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1995.12.08 13:57:52 ???
acknowledgement: ack-nhfb
raweditor: M. N. S. Swamy
booktitle:
Proceedings of the Eighteenth Midwest Symposium on Circuits and Systems (Concordia University, Montreal, Que., 1975)

title:
Proceedings of the Eighteenth Midwest Symposium on Circuits and Systems (Concordia University, Montreal, Que., 1975)

rawbooktitle:
Proceedings of the Eighteenth Midwest Symposium on Circuits and Systems (Concordia University, Montreal, Que., 1975)

entry:
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  editor =       "M. N. S. Swamy",
  booktitle =    "Proceedings of the Eighteenth Midwest Symposium on
                 Circuits and Systems (Concordia University, Montreal,
                 Que., 1975)",
  title =        "Proceedings of the Eighteenth Midwest Symposium on
                 Circuits and Systems (Concordia University, Montreal,
                 Que., 1975)",
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  bibdate =      "Fri Dec 08 13:57:52 1995",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}


bibtype: book
filename: fparith.bib
label: Swartzlander:1976:CDD
editor: Earl E. Swartzlander, Jr.
booktitle: Computer design development: principal papers
title: Computer design development: principal papers
publisher: pub-HAYDEN-BOOK
address: pub-HAYDEN-BOOK:adr
pages: 310
year: 1976
ISBN: 0-8104-5988-4 OR 0810459884
ISBN13: 978-0-8104-5988-5 OR 9780810459885
LCCN: QA76.5 .C612565
bibdate: Wed Oct 13 08:14:58 2004
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager
bibtimestamp: 2004.10.13 08:14:58 ???
subject: Electronic digital computers; Addresses, essays, lectures
acknowledgement: ack-nhfb
rawbooktitle: Computer design development: principal papers
raweditor: Earl E. {Swartzlander, Jr.}
rawtitle: Computer design development: principal papers
entry:
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  editor =       "Earl E. {Swartzlander, Jr.}",
  booktitle =    "Computer design development: principal papers",
  title =        "Computer design development: principal papers",
  publisher =    pub-HAYDEN-BOOK,
  address =      pub-HAYDEN-BOOK:adr,
  pages =        "310",
  year =         "1976",
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  LCCN =         "QA76.5 .C612565",
  bibdate =      "Wed Oct 13 08:14:58 2004",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Electronic digital computers; Addresses, essays,
                 lectures",
}


bibtype: proceedings
filename: fparith.bib
label: Traub:1976:ACC
editor: J. F. (Joseph Frederick) Traub
publisher: pub-ACADEMIC
address: pub-ACADEMIC:adr
pages: ix + 239
year: 1976
ISBN: 0-12-697560-4 OR 0126975604
ISBN13: 978-0-12-697560-4 OR 9780126975604
LCCN: QA297.S9151 1975
bibdate: Mon Jan 13 10:18:33 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1997.01.13 10:18:33 ???
acknowledgement: ack-nhfb
raweditor: J. F. (Joseph Frederick) Traub
booktitle:
Analytic computational complexity: Proceedings of the Symposium on Analytic Computational Complexity, held by the Computer Science Department, Carnegie-Mellon University, Pittsburgh, Pennsylvania, on April 7--8, 1975

title:
Analytic computational complexity: Proceedings of the Symposium on Analytic Computational Complexity, held by the Computer Science Department, Carnegie-Mellon University, Pittsburgh, Pennsylvania, on April 7--8, 1975

rawbooktitle:
{Analytic computational complexity: Proceedings of the Symposium on Analytic Computational Complexity, held by the Computer Science Department, Carnegie-Mellon University, Pittsburgh, Pennsylvania, on April 7--8, 1975}

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@Proceedings{Traub:1976:ACC,
  editor =       "J. F. (Joseph Frederick) Traub",
  booktitle =    "{Analytic computational complexity: Proceedings of the
                 Symposium on Analytic Computational Complexity, held by
                 the Computer Science Department, Carnegie-Mellon
                 University, Pittsburgh, Pennsylvania, on April 7--8,
                 1975}",
  title =        "{Analytic computational complexity: Proceedings of the
                 Symposium on Analytic Computational Complexity, held by
                 the Computer Science Department, Carnegie-Mellon
                 University, Pittsburgh, Pennsylvania, on April 7--8,
                 1975}",
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  bibdate =      "Mon Jan 13 10:18:33 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: Cowell:1977:PMS
editor: Wayne Cowell
booktitle: Portability of Numerical Software Workshop, Oak Brook, Illinois, June 21--23, 1976
title: Portability of Numerical Software Workshop, Oak Brook, Illinois, June 21--23, 1976
volume: 57
publisher: pub-SV
address: pub-SV:adr
pages: viii + 539
year: 1977
ISBN: 0-387-08446-0 OR 0387084460
ISBN13: 978-0-387-08446-6 OR 9780387084466
LCCN: QA297 .W65 1976
bibdate: Sat Sep 24 00:24:09 1994
bibtimestamp: 1994.09.24 00:24:09 ???
series: Lecture Notes in Computer Science
acknowledgement: ack-nhfb
rawbooktitle: {Portability of Numerical Software Workshop, Oak Brook, Illinois, June 21--23, 1976}
raweditor: Wayne Cowell
rawtitle: {Portability of Numerical Software Workshop, Oak Brook, Illinois, June 21--23, 1976}
entry:
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  editor =       "Wayne Cowell",
  booktitle =    "{Portability of Numerical Software Workshop, Oak
                 Brook, Illinois, June 21--23, 1976}",
  title =        "{Portability of Numerical Software Workshop, Oak
                 Brook, Illinois, June 21--23, 1976}",
  volume =       "57",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "viii + 539",
  year =         "1977",
  ISBN =         "0-387-08446-0",
  ISBN-13 =      "978-0-387-08446-6",
  LCCN =         "QA297 .W65 1976",
  bibdate =      "Sat Sep 24 00:24:09 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       "Lecture Notes in Computer Science",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: IEEE:1977:ICS
editor: IEEE
publisher: pub-IEEE
address: pub-IEEE:adr
pages: xxi + 834
year: 1977
LCCN: QA76.6
bibdate: Fri Nov 09 20:06:59 2007
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2007.11.09 20:06:59 ???
acknowledgement: ack-nhfb
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booktitle:
The IEEE Computer Society's First International Computer Software & Applications Conference, Chicago, November 8--11, 1977: Proceedings

title:
The IEEE Computer Society's First International Computer Software & Applications Conference, Chicago, November 8--11, 1977: Proceedings

rawbooktitle:
{The IEEE Computer Society's First International Computer Software \& Applications Conference, Chicago, November 8--11, 1977: Proceedings}

rawtitle:
{The IEEE Computer Society's First International Computer Software \& Applications Conference, Chicago, November 8--11, 1977: Proceedings}

entry:
@Proceedings{IEEE:1977:ICS,
  editor =       "{IEEE}",
  booktitle =    "{The IEEE Computer Society's First International
                 Computer Software \& Applications Conference, Chicago,
                 November 8--11, 1977: Proceedings}",
  title =        "{The IEEE Computer Society's First International
                 Computer Software \& Applications Conference, Chicago,
                 November 8--11, 1977: Proceedings}",
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  year =         "1977",
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  LCCN =         "QA76.6",
  bibdate =      "Fri Nov 09 20:06:59 2007",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}


bibtype: book
filename: fparith.bib
label: Jacobs:1977:SAN
editor: D. Jacobs
publisher: pub-ACADEMIC
address: pub-ACADEMIC:adr
pages: xix + 978
year: 1977
MRclass: 65-06
MRnumber: MR0440858 (55 \#13726)
bibdate: Thu Nov 8 19:02:54 2007
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2007.11.08 19:02:54 ???
note: With a foreword by R. A. Scriven
acknowledgement: ack-nhfb
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rawnote: With a foreword by R. A. Scriven
booktitle:
The state of the art in numerical analysis: Proceedings of the Conference held at The University of York, Heslington, April 12th--15th, 1976

title:
The state of the art in numerical analysis: Proceedings of the Conference held at The University of York, Heslington, April 12th--15th, 1976

rawbooktitle:
The state of the art in numerical analysis: {Proceedings of the Conference held at The University of York, Heslington, April 12th--15th, 1976}

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The state of the art in numerical analysis: {Proceedings of the Conference held at The University of York, Heslington, April 12th--15th, 1976}

entry:
@Book{Jacobs:1977:SAN,
  editor =       "D. Jacobs",
  booktitle =    "The state of the art in numerical analysis:
                 {Proceedings of the Conference held at The University
                 of York, Heslington, April 12th--15th, 1976}",
  title =        "The state of the art in numerical analysis:
                 {Proceedings of the Conference held at The University
                 of York, Heslington, April 12th--15th, 1976}",
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  bibdate =      "Thu Nov 8 19:02:54 2007",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "With a foreword by R. A. Scriven",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: Rice:1977:MSI
editor: John R. Rice
number: 39
publisher: pub-ACADEMIC
address: pub-ACADEMIC:adr
pages: ix + 388
year: 1977
DOI: https://doi.org/10.1016/C2013-0-11364-5
ISBN: 0-12-587260-7 OR 0125872607
ISBN13: 978-0-12-587260-7 OR 9780125872607
LCCN: QA3 .U45 no. 39; QA297 .M36 1977
bibdate: Fri Dec 08 08:24:52 1995
bibtimestamp: 1995.12.08 08:24:52 ???
series: Publication of the Mathematics Research Center, the University of Wisconsin, Madison
URL: https://www.sciencedirect.com/book/9780125872607/mathematical-software
acknowledgement: ack-nhfb
raweditor: John R. Rice
booktitle:
Mathematical software III: Proceedings of a symposium conducted by the Mathematics Research Center, the University of Wisconsin--Madison, March 28--30, 1977

title:
Mathematical software III: Proceedings of a symposium conducted by the Mathematics Research Center, the University of Wisconsin--Madison, March 28--30, 1977

bibsource:
https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib; https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib; https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/fparith.bib; https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/Bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/unix.bib

TOC:
Contributors Preface 1: Research, Development, and Linpack Abstract 1. Introduction 2. Estimation of Condition Numbers 3. Stability of Least Squares Solutions 4. Scaling and Column Elimination 5. Downdating 6. Timing the BLAS References 2: A Technique That Gains Speed and Accuracy in the Minimax Solution of Overdetermined Linear Equations Abstract 1. Introduction 2. Numerical Instability in the Exchange Algorithm 3. The New Technique 4. Theory 5. Discussion References 3: Infallible Calculation Of Polynomial Zeros To Specified Precision Abstract 1. Introduction 2. Preliminaries 3. Sturm Sequences For Real Zeros 4. Sturm Sequences For Complex Zeros 5. Rolle's Theorem For Real Zeros 6. Descartes' Theorem For Real Zeros 7. Application of Interval Arithmetic 8. Complex Zeros Without Sturm Sequences References 4: Representation and Approximation of Surfaces Abstract 1. Introduction 2. Interpolation Methods Defined Over Rectangles 3. Interpolation Schemes Defined Over Triangles 4. Interpolation Methods For Arbitrarily Placed Data 5. Conclusions References Acknowledgements 5: Simulation: Conflicts Between Real-Time And Software Abstract 1. Introduction 2. Simulation 3. Real-Time Operation 4. Numerical Integration in Real-Time 5. Errors in Numerical Integration 6. Methods For Reducing Delay and Improving Stability 7. Conclusions References 6: Mathematical Software and Exploratory Data Analysis Abstract 1. Introduction 2. Overview of Exploratory Data Analysis 3. An Example: Timing Data 4. Software Needs of Exploratory Data Analysis 5. Summary References 7: Software For $C^1$ Surface Interpolation 1. Introduction 2. Problem Statement 3. Expected Applications 4. Published Work On Surface Interpolation To Irregularly Located Data 5. Outline of the Algorithmic Approach Selected 6. Constructing a Triangular Grid 7. Estimating Partial Derivatives At the Grid Nodes 8. Lookup in the Triangular Grid 9. Interpolation in a Triangle 10. Examples 11. Three Criteria For Triangulation of a Strictly Convex Quadrilateral 12. Global Consequences of the Local Optimization Procedure 13. Mclain's Triangulation Method 14. Limits On Grid Changes When Adding a New Point 15. Conclusions References 8: Mathematical Software Production Abstract I. Introduction II. The Evolution of Mathematical Software Production III. Intellectual Challenges IV. Projects To Produce Mathematical Software V. Trends in Mathematical Software Production References 9: Computational Aspects of the Finite Element Method 1. Introduction 2. Goals of the Computational Analysis 3. The Principal Stages of the Computational Analysis 4. Some Software Aspects 5. Some Computational Results References

rawbooktitle:
{Mathematical software III: Proceedings of a symposium conducted by the Mathematics Research Center, the University of Wisconsin--Madison, March 28--30, 1977}

rawtitle:
{Mathematical software III: Proceedings of a symposium conducted by the Mathematics Research Center, the University of Wisconsin--Madison, March 28--30, 1977}

shortTOC:
Contributors / / vii Preface / / ix Research, Development, and UNPACK / G. W. Stewart / 1 A Technique that Gains Speed and Accuracy in the Minimax Solution of Overdetermined Linear Equations / M. J. Hopper and M. J. D. Powell / 15 Infallible Calculation of Polynomial Zeros to Specified Precision / G. E. Collins / 35 Representation and Approximation of Surfaces / Robert E. Barnhill / 69 Simulation: Conflicts between Real-Time and Software / C. W. Gear / 121 Mathematical Software and Exploratory Data Analysis / David C. Hoaglin / 139 Software for $C^1$ Surface Interpolation / C. L. Lawson / 161 Mathematical Software Production / W. R. Cowell and L. D. Fosdick / 195 Computational Aspects of the Finite Element Method / I. Babuska and W. Rheinboldt / 225 The Art of Writing a Runge-Kutta Code, Part I / L. F. Shampine and H. A. Watts / 257 Multi-Level Adaptive Techniques (MLAT) for Partial Differential Equations: Ideas and Software / Achi Brandt / 277 ELLPACK: A Research Tool for Elliptic Partial Differential Equations Software / John R. Rice / 319 A Realistic Model of Floating-Point Computation / W. S. Brown / 343 The Block Lanczos Method for Computing Eigenvalues / G. H. Golub and R. Underwood / 361 Index / / 379

rawshortTOC:
Contributors / / vii \\ Preface / / ix \\ Research, Development, and UNPACK / G. W. Stewart / 1 \\ A Technique that Gains Speed and Accuracy in the Minimax Solution of Overdetermined Linear Equations / M. J. Hopper and M. J. D. Powell / 15 \\ Infallible Calculation of Polynomial Zeros to Specified Precision / G. E. Collins / 35 \\ Representation and Approximation of Surfaces / Robert E. Barnhill / 69 \\ Simulation: Conflicts between Real-Time and Software / C. W. Gear / 121 \\ Mathematical Software and Exploratory Data Analysis / David C. Hoaglin / 139 \\ Software for $C^1$ Surface Interpolation / C. L. Lawson / 161 \\ Mathematical Software Production / W. R. Cowell and L. D. Fosdick / 195 \\ Computational Aspects of the Finite Element Method / I. Babuska and W. Rheinboldt / 225 \\ The Art of Writing a Runge-Kutta Code, Part I / L. F. Shampine and H. A. Watts / 257 \\ Multi-Level Adaptive Techniques (MLAT) for Partial Differential Equations: Ideas and Software / Achi Brandt / 277 \\ ELLPACK: A Research Tool for Elliptic Partial Differential Equations Software / John R. Rice / 319 \\ A Realistic Model of Floating-Point Computation / W. S. Brown / 343 \\ The Block Lanczos Method for Computing Eigenvalues / G. H. Golub and R. Underwood / 361 \\ Index / / 379

rawTOC:
Contributors \\ Preface \\ \\ 1: Research, Development, and Linpack \\ Abstract \\ 1. Introduction \\ 2. Estimation of Condition Numbers \\ 3. Stability of Least Squares Solutions \\ 4. Scaling and Column Elimination \\ 5. Downdating \\ 6. Timing the BLAS \\ References \\ \\ 2: A Technique That Gains Speed and Accuracy in the Minimax Solution of Overdetermined Linear Equations \\ Abstract \\ 1. Introduction \\ 2. Numerical Instability in the Exchange Algorithm \\ 3. The New Technique \\ 4. Theory \\ 5. Discussion \\ References \\ \\ 3: Infallible Calculation Of Polynomial Zeros To Specified Precision \\ Abstract \\ 1. Introduction \\ 2. Preliminaries \\ 3. Sturm Sequences For Real Zeros \\ 4. Sturm Sequences For Complex Zeros \\ 5. Rolle's Theorem For Real Zeros \\ 6. Descartes' Theorem For Real Zeros \\ 7. Application of Interval Arithmetic \\ 8. Complex Zeros Without Sturm Sequences \\ References \\ \\ 4: Representation and Approximation of Surfaces \\ Abstract \\ 1. Introduction \\ 2. Interpolation Methods Defined Over Rectangles \\ 3. Interpolation Schemes Defined Over Triangles \\ 4. Interpolation Methods For Arbitrarily Placed Data 5. Conclusions \\ References \\ Acknowledgements \\ \\ 5: Simulation: Conflicts Between Real-Time And Software \\ Abstract \\ 1. Introduction \\ 2. Simulation \\ 3. Real-Time Operation \\ 4. Numerical Integration in Real-Time \\ 5. Errors in Numerical Integration \\ 6. Methods For Reducing Delay and Improving Stability \\ 7. Conclusions \\ References \\ \\ 6: Mathematical Software and Exploratory Data Analysis \\ Abstract \\ 1. Introduction \\ 2. Overview of Exploratory Data Analysis \\ 3. An Example: Timing Data \\ 4. Software Needs of Exploratory Data Analysis \\ 5. Summary \\ References \\ \\ 7: Software For $C^1$ Surface Interpolation \\ 1. Introduction \\ 2. Problem Statement \\ 3. Expected Applications \\ 4. Published Work On Surface Interpolation To Irregularly Located Data \\ 5. Outline of the Algorithmic Approach Selected \\ 6. Constructing a Triangular Grid \\ 7. Estimating Partial Derivatives At the Grid Nodes \\ 8. Lookup in the Triangular Grid \\ 9. Interpolation in a Triangle \\ 10. Examples \\ 11. Three Criteria For Triangulation of a Strictly Convex Quadrilateral \\ 12. Global Consequences of the Local Optimization Procedure \\ 13. Mclain's Triangulation Method \\ 14. Limits On Grid Changes When Adding a New Point \\ 15. Conclusions \\ References \\ \\ 8: Mathematical Software Production \\ Abstract \\ I. Introduction \\ II. The Evolution of Mathematical Software Production \\ III. Intellectual Challenges \\ IV. Projects To Produce Mathematical Software \\ V. Trends in Mathematical Software Production \\ References \\ \\ 9: Computational Aspects of the Finite Element Method \\ 1. Introduction \\ 2. Goals of the Computational Analysis \\ 3. The Principal Stages of the Computational Analysis \\ 4. Some Software Aspects \\ 5. Some Computational Results \\ References

entry:
@Proceedings{Rice:1977:MSI,
  editor =       "John R. Rice",
  booktitle =    "{Mathematical software III: Proceedings of a symposium
                 conducted by the Mathematics Research Center, the
                 University of Wisconsin--Madison, March 28--30, 1977}",
  title =        "{Mathematical software III: Proceedings of a symposium
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  bibdate =      "Fri Dec 08 08:24:52 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
                 https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/fparith.bib;
                 https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/Bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/unix.bib",
  series =       "Publication of the Mathematics Research Center, the
                 University of Wisconsin, Madison",
  URL =          "https://www.sciencedirect.com/book/9780125872607/mathematical-software",
  acknowledgement = ack-nhfb,
  shorttableofcontents = "Contributors / / vii \\
                 Preface / / ix \\
                 Research, Development, and UNPACK / G. W. Stewart / 1
                 \\
                 A Technique that Gains Speed and Accuracy in the
                 Minimax Solution of Overdetermined Linear Equations /
                 M. J. Hopper and M. J. D. Powell / 15 \\
                 Infallible Calculation of Polynomial Zeros to Specified
                 Precision / G. E. Collins / 35 \\
                 Representation and Approximation of Surfaces / Robert
                 E. Barnhill / 69 \\
                 Simulation: Conflicts between Real-Time and Software /
                 C. W. Gear / 121 \\
                 Mathematical Software and Exploratory Data Analysis /
                 David C. Hoaglin / 139 \\
                 Software for $C^1$ Surface Interpolation / C. L. Lawson
                 / 161 \\
                 Mathematical Software Production / W. R. Cowell and L.
                 D. Fosdick / 195 \\
                 Computational Aspects of the Finite Element Method / I.
                 Babuska and W. Rheinboldt / 225 \\
                 The Art of Writing a Runge-Kutta Code, Part I / L. F.
                 Shampine and H. A. Watts / 257 \\
                 Multi-Level Adaptive Techniques (MLAT) for Partial
                 Differential Equations: Ideas and Software / Achi
                 Brandt / 277 \\
                 ELLPACK: A Research Tool for Elliptic Partial
                 Differential Equations Software / John R. Rice / 319
                 \\
                 A Realistic Model of Floating-Point Computation / W. S.
                 Brown / 343 \\
                 The Block Lanczos Method for Computing Eigenvalues / G.
                 H. Golub and R. Underwood / 361 \\
                 Index / / 379",
  tableofcontents = "Contributors \\
                 Preface \\
                 \\
                 1: Research, Development, and Linpack \\
                 Abstract \\
                 1. Introduction \\
                 2. Estimation of Condition Numbers \\
                 3. Stability of Least Squares Solutions \\
                 4. Scaling and Column Elimination \\
                 5. Downdating \\
                 6. Timing the BLAS \\
                 References \\
                 \\
                 2: A Technique That Gains Speed and Accuracy in the
                 Minimax Solution of Overdetermined Linear Equations \\
                 Abstract \\
                 1. Introduction \\
                 2. Numerical Instability in the Exchange Algorithm \\
                 3. The New Technique \\
                 4. Theory \\
                 5. Discussion \\
                 References \\
                 \\
                 3: Infallible Calculation Of Polynomial Zeros To
                 Specified Precision \\
                 Abstract \\
                 1. Introduction \\
                 2. Preliminaries \\
                 3. Sturm Sequences For Real Zeros \\
                 4. Sturm Sequences For Complex Zeros \\
                 5. Rolle's Theorem For Real Zeros \\
                 6. Descartes' Theorem For Real Zeros \\
                 7. Application of Interval Arithmetic \\
                 8. Complex Zeros Without Sturm Sequences \\
                 References \\
                 \\
                 4: Representation and Approximation of Surfaces \\
                 Abstract \\
                 1. Introduction \\
                 2. Interpolation Methods Defined Over Rectangles \\
                 3. Interpolation Schemes Defined Over Triangles \\
                 4. Interpolation Methods For Arbitrarily Placed Data 5.
                 Conclusions \\
                 References \\
                 Acknowledgements \\
                 \\
                 5: Simulation: Conflicts Between Real-Time And Software
                 \\
                 Abstract \\
                 1. Introduction \\
                 2. Simulation \\
                 3. Real-Time Operation \\
                 4. Numerical Integration in Real-Time \\
                 5. Errors in Numerical Integration \\
                 6. Methods For Reducing Delay and Improving Stability
                 \\
                 7. Conclusions \\
                 References \\
                 \\
                 6: Mathematical Software and Exploratory Data Analysis
                 \\
                 Abstract \\
                 1. Introduction \\
                 2. Overview of Exploratory Data Analysis \\
                 3. An Example: Timing Data \\
                 4. Software Needs of Exploratory Data Analysis \\
                 5. Summary \\
                 References \\
                 \\
                 7: Software For $C^1$ Surface Interpolation \\
                 1. Introduction \\
                 2. Problem Statement \\
                 3. Expected Applications \\
                 4. Published Work On Surface Interpolation To
                 Irregularly Located Data \\
                 5. Outline of the Algorithmic Approach Selected \\
                 6. Constructing a Triangular Grid \\
                 7. Estimating Partial Derivatives At the Grid Nodes \\
                 8. Lookup in the Triangular Grid \\
                 9. Interpolation in a Triangle \\
                 10. Examples \\
                 11. Three Criteria For Triangulation of a Strictly
                 Convex Quadrilateral \\
                 12. Global Consequences of the Local Optimization
                 Procedure \\
                 13. Mclain's Triangulation Method \\
                 14. Limits On Grid Changes When Adding a New Point \\
                 15. Conclusions \\
                 References \\
                 \\
                 8: Mathematical Software Production \\
                 Abstract \\
                 I. Introduction \\
                 II. The Evolution of Mathematical Software Production
                 \\
                 III. Intellectual Challenges \\
                 IV. Projects To Produce Mathematical Software \\
                 V. Trends in Mathematical Software Production \\
                 References \\
                 \\
                 9: Computational Aspects of the Finite Element Method
                 \\
                 1. Introduction \\
                 2. Goals of the Computational Analysis \\
                 3. The Principal Stages of the Computational Analysis
                 \\
                 4. Some Software Aspects \\
                 5. Some Computational Results \\
                 References",
}


bibtype: proceedings
filename: fparith.bib
label: COMPSAC:1978:CPC
publisher: pub-IEEE
address: pub-IEEE:adr
pages: xiv + 832
year: 1978
bibdate: Thu Sep 15 18:50:37 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.15 18:50:37 ???
acknowledgement: ack-nj
key: COMPSAC '78
booktitle:
COMPSAC 78: Proceedings [conference held] November 13--16, 1978 [at] The Palmer House, Chicago, Illinois

title:
COMPSAC 78: Proceedings [conference held] November 13--16, 1978 [at] The Palmer House, Chicago, Illinois

rawbooktitle:
{COMPSAC} 78: Proceedings [conference held] November 13--16, 1978 [at] The Palmer House, Chicago, Illinois

rawtitle:
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  booktitle =    "{COMPSAC} 78: Proceedings [conference held] November
                 13--16, 1978 [at] The Palmer House, Chicago, Illinois",
  title =        "{COMPSAC} 78: Proceedings [conference held] November
                 13--16, 1978 [at] The Palmer House, Chicago, Illinois",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xiv + 832",
  year =         "1978",
  LCCN =         "????",
  bibdate =      "Thu Sep 15 18:50:37 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
  xxISBN =       "(none)",
}


bibtype: proceedings
filename: fparith.bib
label: IEEE:1978:PSC
booktitle: Proceedings of the 4th Symposium on Computer Arithmetic, Santa Monica, CA, USA, 25--27 October 1978
title: Proceedings of the 4th Symposium on Computer Arithmetic, Santa Monica, CA, USA, 25--27 October 1978
publisher: pub-IEEE
address: pub-IEEE:adr
pages: xi + 274
year: 1978
ISSN: 1063-6889 OR 10636889
bibdate: Sat Feb 24 15:01:45 MST 1996
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1996.02.24 15:01:45 MST
note: IEEE catalog no. 78CH1412-6C.
acknowledgement: ack-nhfb
key: IEEE SCA '78
rawnote: IEEE catalog no. 78CH1412-6C.
keywords:
ARITH-4; Computer arithmetic --- Congresses.; Electronic digital computers --- Programming --- Congresses.; Floating-point arithmetic --- Congresses.

rawbooktitle:
Proceedings of the 4th Symposium on Computer Arithmetic, Santa Monica, {CA}, {USA}, 25--27 October 1978

rawtitle:
Proceedings of the 4th Symposium on Computer Arithmetic, Santa Monica, {CA}, {USA}, 25--27 October 1978

entry:
@Proceedings{IEEE:1978:PSC,
  key =          "IEEE SCA '78",
  booktitle =    "Proceedings of the 4th Symposium on Computer
                 Arithmetic, Santa Monica, {CA}, {USA}, 25--27 October
                 1978",
  title =        "Proceedings of the 4th Symposium on Computer
                 Arithmetic, Santa Monica, {CA}, {USA}, 25--27 October
                 1978",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xi + 274",
  year =         "1978",
  ISSN =         "1063-6889",
  bibdate =      "Sat Feb 24 15:01:45 MST 1996",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "IEEE catalog no. 78CH1412-6C.",
  acknowledgement = ack-nhfb,
  keywords =     "ARITH-4; Computer arithmetic --- Congresses.;
                 Electronic digital computers --- Programming ---
                 Congresses.; Floating-point arithmetic ---
                 Congresses.",
  xxISBN =       "(none)",
  xxLCCN =       "(none)",
}


bibtype: proceedings
filename: fparith.bib
label: ACM:1979:PSC
editor: ACM
publisher: pub-ACM
address: pub-ACM:adr
pages: xi + 274
year: 1979
bibdate: Fri Nov 28 17:28:30 2003
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2003.11.28 17:28:30 ???
acknowledgement: ack-nhfb
raweditor: {ACM}
booktitle:
Proceedings of the SIGNUM Conference on the Programming Environment for Development of Numerical Software

title:
Proceedings of the SIGNUM Conference on the Programming Environment for Development of Numerical Software

rawbooktitle:
Proceedings of the {SIGNUM} Conference on the Programming Environment for Development of Numerical Software

rawtitle:
Proceedings of the {SIGNUM} Conference on the Programming Environment for Development of Numerical Software

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  editor =       "{ACM}",
  booktitle =    "Proceedings of the {SIGNUM} Conference on the
                 Programming Environment for Development of Numerical
                 Software",
  title =        "Proceedings of the {SIGNUM} Conference on the
                 Programming Environment for Development of Numerical
                 Software",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  year =         "1979",
  bibdate =      "Fri Nov 28 17:28:30 2003",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: Anonymous:1979:WCR
editor: Anonymous
booktitle: WESCON conference record
title: WESCON conference record
publisher: Electronic Conventions Management
address: Los Angeles, CA, USA
pages: xi + 274
year: 1979
CODEN: WCREDI
ISSN: 1044-6036, 0083-8837 OR 10446036, 00838837
LCCN: TK7800
bibdate: Fri Nov 09 20:00:43 2007
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2007.11.09 20:00:43 ???
note: 17 volumes.
acknowledgement: ack-nhfb
rawbooktitle: {WESCON} conference record
raweditor: Anonymous
rawnote: 17 volumes.
rawtitle: {WESCON} conference record
entry:
@Proceedings{Anonymous:1979:WCR,
  editor =       "Anonymous",
  booktitle =    "{WESCON} conference record",
  title =        "{WESCON} conference record",
  publisher =    "Electronic Conventions Management",
  address =      "Los Angeles, CA, USA",
  year =         "1979",
  CODEN =        "WCREDI",
  ISSN =         "1044-6036, 0083-8837",
  LCCN =         "TK7800",
  bibdate =      "Fri Nov 09 20:00:43 2007",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "17 volumes.",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: Budach:1979:FCT
editor: L. (Lothar) Budach
volume: 2
publisher: pub-AKADEMIE-VERLAG
address: pub-AKADEMIE-VERLAG:adr
pages: 576
year: 1979
LCCN: QA267 .C594 1979
bibdate: Sat Mar 31 10:25:37 MDT 2007
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager
bibtimestamp: 2007.03.31 10:25:37 MDT
series: Mathematical research
remark: English or French.
subject: Machine theory; Congresses; Categories (Mathematics); Computational complexity
acknowledgement: ack-nhfb
raweditor: L. (Lothar) Budach
booktitle:
Fundamentals of computation theory: FCT '79: proceedings of the Conference on Algebraic, Arithmetic, and Categorial Methods in Computation Theory held in Berlin / Wendisch-Rietz (GDR), September 17--21, 1979

title:
Fundamentals of computation theory: FCT '79: proceedings of the Conference on Algebraic, Arithmetic, and Categorial Methods in Computation Theory held in Berlin / Wendisch-Rietz (GDR), September 17--21, 1979

rawbooktitle:
{Fundamentals of computation theory: FCT '79: proceedings of the Conference on Algebraic, Arithmetic, and Categorial Methods in Computation Theory held in Berlin\slash Wendisch-Rietz (GDR), September 17--21, 1979}

rawtitle:
{Fundamentals of computation theory: FCT '79: proceedings of the Conference on Algebraic, Arithmetic, and Categorial Methods in Computation Theory held in Berlin\slash Wendisch-Rietz (GDR), September 17--21, 1979}

entry:
@Proceedings{Budach:1979:FCT,
  editor =       "L. (Lothar) Budach",
  booktitle =    "{Fundamentals of computation theory: FCT '79:
                 proceedings of the Conference on Algebraic, Arithmetic,
                 and Categorial Methods in Computation Theory held in
                 Berlin\slash Wendisch-Rietz (GDR), September 17--21,
                 1979}",
  title =        "{Fundamentals of computation theory: FCT '79:
                 proceedings of the Conference on Algebraic, Arithmetic,
                 and Categorial Methods in Computation Theory held in
                 Berlin\slash Wendisch-Rietz (GDR), September 17--21,
                 1979}",
  volume =       "2",
  publisher =    pub-AKADEMIE-VERLAG,
  address =      pub-AKADEMIE-VERLAG:adr,
  pages =        "576",
  year =         "1979",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "QA267 .C594 1979",
  bibdate =      "Sat Mar 31 10:25:37 MDT 2007",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Mathematical research",
  acknowledgement = ack-nhfb,
  meetingname =  "Conference on Algebraic, Arithmetic, and Categorial
                 Methods in Computation Theory (1979 : Wendisch Rietz,
                 Germany)",
  remark =       "English or French.",
  subject =      "Machine theory; Congresses; Categories (Mathematics);
                 Computational complexity",
}


bibtype: book
filename: fparith.bib
label: Linger:1979:SPT
author: R. C. Linger and H. D. Mills and B. I. Witt
booktitle: Structured Programming: Theory and Practice
title: Structured Programming: Theory and Practice
publisher: pub-AW
address: pub-AW:adr
pages: xi + 402
year: 1979
ISBN: 0-201-14461-1 OR 0201144611
ISBN13: 978-0-201-14461-1 OR 9780201144611
LCCN: QA76.6 .L55
bibdate: Tue Jul 26 11:13:15 2022
bibtimestamp: 2022.07.26 11:13:15 ???
acknowledgement: ack-nhfb
rawauthor: R. C. Linger and H. D. Mills and B. I. Witt
rawbooktitle: Structured Programming: Theory and Practice
rawtitle: Structured Programming: Theory and Practice
bibsource:
https://www.math.utah.edu/pub/bibnet/authors/h/hansen-per-brinch.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

remark:
No tableofcontents data found, and no online source yet located. This book discussion multiword integer division, but the treatment is later shown to be inferior to that of subsequent work cite BrinchHansen:1995:LDA.

entry:
@Book{Linger:1979:SPT,
  author =       "R. C. Linger and H. D. Mills and B. I. Witt",
  booktitle =    "Structured Programming: Theory and Practice",
  title =        "Structured Programming: Theory and Practice",
  publisher =    pub-AW,
  address =      pub-AW:adr,
  pages =        "xi + 402",
  year =         "1979",
  ISBN =         "0-201-14461-1",
  ISBN-13 =      "978-0-201-14461-1",
  LCCN =         "QA76.6 .L55",
  bibdate =      "Tue Jul 26 11:13:15 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hansen-per-brinch.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  remark =       "No tableofcontents data found, and no online source
                 yet located. This book discussion multiword integer
                 division, but the treatment is later shown to be
                 inferior to that of subsequent work
                 \cite{BrinchHansen:1995:LDA}.",
}


bibtype: proceedings
filename: fparith.bib
label: Meinardus:1979:ATP
editor: Gunther Meinardus
publisher: pub-BIB-INST
address: pub-BIB-INST:adr
pages: 304
year: 1979
ISBN: 3-411-01567-5 OR 3411015675
ISBN13: 978-3-411-01567-2 OR 9783411015672
LCCN: QA297.5 .A66
bibdate: Fri Sep 16 16:30:41 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.16 16:30:41 ???
acknowledgement: ack-nhfb
raweditor: Gunther Meinardus
booktitle:
Approximation in Theorie und Praxis: e. Symposiumsbericht toenglish Approximation in Theory and Practice: Symposium Proceedings endtoenglish 

title:
Approximation in Theorie und Praxis: e. Symposiumsbericht toenglish Approximation in Theory and Practice: Symposium Proceedings endtoenglish 

note:
Contributions in English or German from a meeting held Jan. 31--Feb. 2, 1979, at the Gesamthochschule Siegen, Forschungsinstitut fur Geistes- und Sozialwissenschaften.

rawbooktitle:
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rawtitle:
{Approximation in Theorie und Praxis: e. Symposiumsbericht} \toenglish {Approximation in Theory and Practice: Symposium Proceedings} \endtoenglish

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  editor =       "Gunther Meinardus",
  booktitle =    "{Approximation in Theorie und Praxis: e.
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  title =        "{Approximation in Theorie und Praxis: e.
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  acknowledgement = ack-nhfb,
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bibtype: proceedings
filename: fparith.bib
label: Ng:1979:SAC
editor: Edward W. Ng
volume: 72
publisher: pub-SV
address: pub-SV:adr
pages: xiv + 557
year: 1979
ISBN: 0-387-09519-5 OR 0387095195
ISBN13: 978-0-387-09519-6 OR 9780387095196
LCCN: QA155.7.E4I57 1979
bibdate: Fri Dec 08 08:45:00 1995
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1995.12.08 08:45:00 ???
series: ser-LNCS
acknowledgement: ack-nhfb
raweditor: Edward W. Ng
booktitle:
Symbolic and algebraic computation: EUROSAM '79, an International Symposium on Symbolic and Algebraic Manipulation, Marseille, France, June 1979

title:
Symbolic and algebraic computation: EUROSAM '79, an International Symposium on Symbolic and Algebraic Manipulation, Marseille, France, June 1979

rawbooktitle:
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  title =        "{Symbolic and algebraic computation: EUROSAM '79, an
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  bibdate =      "Fri Dec 08 08:45:00 1995",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       ser-LNCS,
  acknowledgement = ack-nhfb,
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bibtype: proceedings
filename: fparith.bib
label: ACM:1980:CPA
editor: ACM
volume: 8(3)
publisher: pub-ACM
address: pub-ACM:adr
pages: 333
year: 1980
CODEN: CANED2, CPAADU
ISSN: 0163-5964 (ACM), 0884-7495 (IEEE), 0149-7111 OR 01635964 (ACM), 08847495 (IEEE), 01497111
bibdate: Fri Sep 16 10:53:10 1994
bibtimestamp: 1994.09.16 10:53:10 ???
series: j-COMP-ARCH-NEWS
URL: http://portal.acm.org/toc.cfm?id=800090
acknowledgement: ack-nj
raweditor: {ACM}
booktitle:
Conference Proceedings: 7th Annual Symposium on Computer Architecture, La Baule, France, 6--8 May 1980

title:
Conference Proceedings: 7th Annual Symposium on Computer Architecture, La Baule, France, 6--8 May 1980

bibsource:
ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/fparith.bib; http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/sigarch.bib

rawbooktitle:
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rawtitle:
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  title =        "{Conference Proceedings: 7th Annual Symposium on
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  volume =       "8(3)",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "333",
  year =         "1980",
  CODEN =        "CANED2, CPAADU",
  ISBN =         "????",
  ISBN-13 =      "????",
  ISSN =         "0163-5964 (ACM), 0884-7495 (IEEE), 0149-7111",
  bibdate =      "Fri Sep 16 10:53:10 1994",
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  URL =          "http://portal.acm.org/toc.cfm?id=800090",
  acknowledgement = ack-nj,
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bibtype: proceedings
filename: fparith.bib
label: Alefeld:1980:FNC
editor: G. Alefeld and R. D. Grigorieff
booktitle: Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis)
title: Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis)
volume: 2
publisher: pub-SPRINGER-WIEN
address: pub-SPRINGER-WIEN:adr
pages: v + 229
year: 1980
CODEN: COSPDM
ISBN: 0-387-81566-X OR 038781566X
ISBN13: 978-0-387-81566-4 OR 9780387815664
ISSN: 0344-8029 OR 03448029
LCCN: QA297 .F84
bibdate: Wed Oct 13 18:45:11 1999
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1999.10.13 18:45:11 ???
note: In cooperation with R. Albrecht, U. Kulisch, and F. Stummel.
series: j-COMPUTING-SUPPLEMENTUM
acknowledgement: ack-nhfb
rawbooktitle: Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis)
raweditor: G. Alefeld and R. D. Grigorieff
rawnote: In cooperation with R. Albrecht, U. Kulisch, and F. Stummel.
rawtitle: Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis)
remark:
Collection of invited lectures which were given during a conference held on June 5--8, 1979, on the occasion of the centennial of the Technical University of Berlin.

entry:
@Proceedings{Alefeld:1980:FNC,
  editor =       "G. Alefeld and R. D. Grigorieff",
  booktitle =    "Fundamentals of Numerical Computation
                 (Computer-Oriented Numerical Analysis)",
  title =        "Fundamentals of Numerical Computation
                 (Computer-Oriented Numerical Analysis)",
  volume =       "2",
  publisher =    pub-SPRINGER-WIEN,
  address =      pub-SPRINGER-WIEN:adr,
  pages =        "v + 229",
  year =         "1980",
  CODEN =        "COSPDM",
  ISBN =         "0-387-81566-X",
  ISBN-13 =      "978-0-387-81566-4",
  ISSN =         "0344-8029",
  LCCN =         "QA297 .F84",
  bibdate =      "Wed Oct 13 18:45:11 1999",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "In cooperation with R. Albrecht, U. Kulisch, and F.
                 Stummel.",
  series =       j-COMPUTING-SUPPLEMENTUM,
  acknowledgement = ack-nhfb,
  remark =       "Collection of invited lectures which were given during
                 a conference held on June 5--8, 1979, on the occasion
                 of the centennial of the Technical University of
                 Berlin.",
}


bibtype: proceedings
filename: fparith.bib
label: Anonymous:1980:CPA
volume: 8(3)
publisher: pub-IEEE
address: pub-IEEE:adr
pages: 333
year: 1980
CODEN: CANED2
ISSN: 0163-5964 (print), 1943-5851 (electronic) OR 01635964 (print), 19435851 (electronic)
bibdate: Fri Sep 16 10:53:10 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.16 10:53:10 ???
series: j-COMP-ARCH-NEWS
acknowledgement: ack-nj
key: COMPARCH '80
booktitle:
Conference Proceedings 7th Annual Symposium on Computer Architecture, La Baule, France, 6--8 May 1980

title:
Conference Proceedings 7th Annual Symposium on Computer Architecture, La Baule, France, 6--8 May 1980

rawbooktitle:
Conference Proceedings 7th Annual Symposium on Computer Architecture, La Baule, France, 6--8 May 1980

entry:
@Proceedings{Anonymous:1980:CPA,
  key =          "COMPARCH '80",
  booktitle =    "Conference Proceedings 7th Annual Symposium on
                 Computer Architecture, La Baule, France, 6--8 May
                 1980",
  title =        "Conference Proceedings 7th Annual Symposium on
                 Computer Architecture, La Baule, France, 6--8 May
                 1980",
  volume =       "8(3)",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "333",
  year =         "1980",
  CODEN =        "CANED2",
  ISSN =         "0163-5964 (print), 1943-5851 (electronic)",
  bibdate =      "Fri Sep 16 10:53:10 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       j-COMP-ARCH-NEWS,
  acknowledgement = ack-nj,
}


bibtype: proceedings
filename: fparith.bib
label: Electro:1980:ECR
booktitle: Electro / 80 Conference Record: Sessions Presented at ELECTRO / 80, Boston, MA, May 13--15, 1980
title: Electro / 80 Conference Record: Sessions Presented at ELECTRO / 80, Boston, MA, May 13--15, 1980
publisher: Electronic Conventions, Inc.
address: El Segundo, CA, USA
pages: various
year: 1980
LCCN: TK 7801 E375 1980
bibdate: Fri Dec 08 13:02:59 1995
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1995.12.08 13:02:59 ???
acknowledgement: ack-nj
key: Electro '80
rawbooktitle:
Electro\slash 80 Conference Record: Sessions Presented at {ELECTRO}\slash 80, Boston, {MA}, May 13--15, 1980

rawtitle:
Electro\slash 80 Conference Record: Sessions Presented at {ELECTRO}\slash 80, Boston, {MA}, May 13--15, 1980

entry:
@Proceedings{Electro:1980:ECR,
  key =          "Electro '80",
  booktitle =    "Electro\slash 80 Conference Record: Sessions Presented
                 at {ELECTRO}\slash 80, Boston, {MA}, May 13--15, 1980",
  title =        "Electro\slash 80 Conference Record: Sessions Presented
                 at {ELECTRO}\slash 80, Boston, {MA}, May 13--15, 1980",
  publisher =    "Electronic Conventions, Inc.",
  address =      "El Segundo, CA, USA",
  pages =        "various",
  year =         "1980",
  LCCN =         "TK 7801 E375 1980",
  bibdate =      "Fri Dec 08 13:02:59 1995",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
  xxISBN =       "(none)",
}


bibtype: proceedings
filename: fparith.bib
label: IEEE:1980:IIS
publisher: pub-IEEE
address: pub-IEEE:adr
pages: ??--??
year: 1980
bibdate: Fri Sep 16 10:55:14 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.16 10:55:14 ???
acknowledgement: ack-nj
key: IEEE ISSCC '80
booktitle:
1980 IEEE International Solid-State Circuits Conference Digest of Technical Papers, Philadelphia, PA, USA, 13--15 February 1980

title:
1980 IEEE International Solid-State Circuits Conference Digest of Technical Papers, Philadelphia, PA, USA, 13--15 February 1980

rawbooktitle:
1980 {IEEE} International Solid-State Circuits Conference Digest of Technical Papers, Philadelphia, {PA}, {USA}, 13--15 February 1980

rawtitle:
1980 {IEEE} International Solid-State Circuits Conference Digest of Technical Papers, Philadelphia, {PA}, {USA}, 13--15 February 1980

entry:
@Proceedings{IEEE:1980:IIS,
  key =          "IEEE ISSCC '80",
  booktitle =    "1980 {IEEE} International Solid-State Circuits
                 Conference Digest of Technical Papers, Philadelphia,
                 {PA}, {USA}, 13--15 February 1980",
  title =        "1980 {IEEE} International Solid-State Circuits
                 Conference Digest of Technical Papers, Philadelphia,
                 {PA}, {USA}, 13--15 February 1980",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "??--??",
  year =         "1980",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Fri Sep 16 10:55:14 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
  xxnote =       "NHFB: OCLC shows this conference in San Francisco, and
                 says 282 pages.",
}


bibtype: proceedings
filename: fparith.bib
label: IEEE:1980:PMA
publisher: pub-IEEE
address: pub-IEEE:adr
pages: 105
year: 1980
LCCN: QA76.5 .P74
bibdate: Thu Sep 15 18:50:53 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.15 18:50:53 ???
acknowledgement: ack-nhfb
key: IEEE MICRO '80
booktitle:
Proceedings: Microprocessor Applications in the 80's: Arizona Technical Symposium, March 12--14, 1980, Arizona State University, Tempe, Arizona

title:
Proceedings: Microprocessor Applications in the 80's: Arizona Technical Symposium, March 12--14, 1980, Arizona State University, Tempe, Arizona

rawbooktitle:
Proceedings: Microprocessor Applications in the 80's: Arizona Technical Symposium, March 12--14, 1980, Arizona State University, Tempe, Arizona

entry:
@Proceedings{IEEE:1980:PMA,
  key =          "IEEE MICRO '80",
  booktitle =    "Proceedings: Microprocessor Applications in the 80's:
                 Arizona Technical Symposium, March 12--14, 1980,
                 Arizona State University, Tempe, Arizona",
  title =        "Proceedings: Microprocessor Applications in the 80's:
                 Arizona Technical Symposium, March 12--14, 1980,
                 Arizona State University, Tempe, Arizona",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "105",
  year =         "1980",
  LCCN =         "QA76.5 .P74",
  bibdate =      "Thu Sep 15 18:50:53 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  xxISBN =       "(none)",
}


bibtype: proceedings
filename: fparith.bib
label: Johnson:1980:MPA
editor: Gearold R. Johnson and Bruce E. Kittinger
publisher: pub-IEEE
address: pub-IEEE:adr
pages: xiii + 192
year: 1980
bibdate: Thu Aug 07 18:23:40 2008
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2008.08.07 18:23:40 ???
acknowledgement: ack-nhfb
raweditor: Gearold R. Johnson and Bruce E. Kittinger
booktitle:
MICRO 13: Proceedings of the 13th annual workshop on Microprogramming 1980, Broadmoor Hotel, Colorado Springs, United States, November 30--December 03, 1980

title:
MICRO 13: Proceedings of the 13th annual workshop on Microprogramming 1980, Broadmoor Hotel, Colorado Springs, United States, November 30--December 03, 1980

note:
Published in SIGMICRO newsletter, 11(3--4) (Sept.--Dec. 1980). ACM Order no. 520800. IEEE Catalog no. 80CH1599-0.

rawbooktitle:
{MICRO 13: Proceedings of the 13th annual workshop on Microprogramming 1980, Broadmoor Hotel, Colorado Springs, United States, November 30--December 03, 1980}

rawnote:
Published in SIGMICRO newsletter, 11(3--4) (Sept.--Dec. 1980). ACM Order no. 520800. IEEE Catalog no. 80CH1599-0.

rawtitle:
{MICRO 13: Proceedings of the 13th annual workshop on Microprogramming 1980, Broadmoor Hotel, Colorado Springs, United States, November 30--December 03, 1980}

entry:
@Proceedings{Johnson:1980:MPA,
  editor =       "Gearold R. Johnson and Bruce E. Kittinger",
  booktitle =    "{MICRO 13: Proceedings of the 13th annual workshop on
                 Microprogramming 1980, Broadmoor Hotel, Colorado
                 Springs, United States, November 30--December 03,
                 1980}",
  title =        "{MICRO 13: Proceedings of the 13th annual workshop on
                 Microprogramming 1980, Broadmoor Hotel, Colorado
                 Springs, United States, November 30--December 03,
                 1980}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xiii + 192",
  year =         "1980",
  bibdate =      "Thu Aug 07 18:23:40 2008",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "Published in SIGMICRO newsletter, 11(3--4)
                 (Sept.--Dec. 1980). ACM Order no. 520800. IEEE Catalog
                 no. 80CH1599-0.",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: Lavington:1980:IPP
editor: Simon Hugh Lavington
publisher: pub-ENH
address: pub-ENH:adr
pages: xiii + 1070
year: 1980
ISBN: 0-444-86034-7 OR 0444860347
ISBN13: 978-0-444-86034-7 OR 9780444860347
LCCN: QA 75.5 I57 1980
bibdate: Thu Sep 01 23:09:20 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.01 23:09:20 ???
acknowledgement: ack-nhfb
raweditor: Simon Hugh Lavington
booktitle:
Information Processing 80: Proceedings of IFIP Congress 80, Tokyo, Japan, October 6--9, 1980, Melbourne, Australia, October 14--17, 1980

title:
Information Processing 80: Proceedings of IFIP Congress 80, Tokyo, Japan, October 6--9, 1980, Melbourne, Australia, October 14--17, 1980

rawbooktitle:
Information Processing 80: Proceedings of {IFIP} Congress 80, Tokyo, Japan, October 6--9, 1980, Melbourne, Australia, October 14--17, 1980

rawtitle:
Information Processing 80: Proceedings of {IFIP} Congress 80, Tokyo, Japan, October 6--9, 1980, Melbourne, Australia, October 14--17, 1980

entry:
@Proceedings{Lavington:1980:IPP,
  editor =       "Simon Hugh Lavington",
  booktitle =    "Information Processing 80: Proceedings of {IFIP}
                 Congress 80, Tokyo, Japan, October 6--9, 1980,
                 Melbourne, Australia, October 14--17, 1980",
  title =        "Information Processing 80: Proceedings of {IFIP}
                 Congress 80, Tokyo, Japan, October 6--9, 1980,
                 Melbourne, Australia, October 14--17, 1980",
  publisher =    pub-ENH,
  address =      pub-ENH:adr,
  pages =        "xiii + 1070",
  year =         "1980",
  ISBN =         "0-444-86034-7",
  ISBN-13 =      "978-0-444-86034-7",
  LCCN =         "QA 75.5 I57 1980",
  bibdate =      "Thu Sep 01 23:09:20 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: Nickel:1980:IMP
editor: Karl L. E. Nickel
publisher: pub-ACADEMIC
address: pub-ACADEMIC:adr
pages: xv + 554
year: 1980
ISBN: 0-12-518850-1 OR 0125188501
ISBN13: 978-0-12-518850-0 OR 9780125188500
LCCN: QA297.75 .I57 1980
bibdate: Fri Dec 08 08:24:13 1995
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1995.12.08 08:24:13 ???
acknowledgement: ack-nhfb
raweditor: Karl L. E. Nickel
booktitle:
Interval mathematics 1980: proceedings of an International Symposium on Interval Mathematics, held at the Institut fur Angewandte Mathematik, Universitat Freiburg i. Br., Germany, May 27--31, 1980

title:
Interval mathematics 1980: proceedings of an International Symposium on Interval Mathematics, held at the Institut fur Angewandte Mathematik, Universitat Freiburg i. Br., Germany, May 27--31, 1980

rawbooktitle:
{Interval mathematics 1980: proceedings of an International Symposium on Interval Mathematics, held at the Institut f{\"u}r Angewandte Mathematik, Universit{\"a}t Freiburg i. Br., Germany, May 27--31, 1980}

rawtitle:
{Interval mathematics 1980: proceedings of an International Symposium on Interval Mathematics, held at the Institut f{\"u}r Angewandte Mathematik, Universit{\"a}t Freiburg i. Br., Germany, May 27--31, 1980}

entry:
@Proceedings{Nickel:1980:IMP,
  editor =       "Karl L. E. Nickel",
  booktitle =    "{Interval mathematics 1980: proceedings of an
                 International Symposium on Interval Mathematics, held
                 at the Institut f{\"u}r Angewandte Mathematik,
                 Universit{\"a}t Freiburg i. Br., Germany, May 27--31,
                 1980}",
  title =        "{Interval mathematics 1980: proceedings of an
                 International Symposium on Interval Mathematics, held
                 at the Institut f{\"u}r Angewandte Mathematik,
                 Universit{\"a}t Freiburg i. Br., Germany, May 27--31,
                 1980}",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xv + 554",
  year =         "1980",
  ISBN =         "0-12-518850-1",
  ISBN-13 =      "978-0-12-518850-0",
  LCCN =         "QA297.75 .I57 1980",
  bibdate =      "Fri Dec 08 08:24:13 1995",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: GAMM:1981:PAM
publisher: Gesellschaft fur Angewandte Mathematik und Mechanik
address: Wurzburg, Germany
year: 1981
bibdate: Fri Dec 08 08:56:45 1995
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1995.12.08 08:56:45 ???
note: Part II (Wurzburg, 1981)
acknowledgement: ack-nhfb
key: GAMM'81
rawnote: Part II (W{\"u}rzburg, 1981)
booktitle:
Proceedings of the Annual Meeting of the Gesellschaft fur Angewandte Mathematik und Mechanik, Wurzburg

title:
Proceedings of the Annual Meeting of the Gesellschaft fur Angewandte Mathematik und Mechanik, Wurzburg

rawbooktitle:
{Proceedings of the Annual Meeting of the Gesellschaft f{\"u}r Angewandte Mathematik und Mechanik, W{\"u}rzburg}

rawtitle:
{Proceedings of the Annual Meeting of the Gesellschaft f{\"u}r Angewandte Mathematik und Mechanik, W{\"u}rzburg}

entry:
@Proceedings{GAMM:1981:PAM,
  key =          "GAMM'81",
  booktitle =    "{Proceedings of the Annual Meeting of the Gesellschaft
                 f{\"u}r Angewandte Mathematik und Mechanik,
                 W{\"u}rzburg}",
  title =        "{Proceedings of the Annual Meeting of the Gesellschaft
                 f{\"u}r Angewandte Mathematik und Mechanik,
                 W{\"u}rzburg}",
  publisher =    "Gesellschaft f{\"u}r Angewandte Mathematik und
                 Mechanik",
  address =      "W{\"u}rzburg, Germany",
  pages =        "????",
  year =         "1981",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Fri Dec 08 08:56:45 1995",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "Part II (W{\"u}rzburg, 1981)",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: IEEE:1981:PSC
publisher: pub-IEEE
address: pub-IEEE:adr
pages: vii + 278
year: 1981
LCCN: QA 76.6 S985t 1981
bibdate: Sat Feb 24 15:01:45 MST 1996
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1996.02.24 15:01:45 MST
note: IEEE catalog number 81CH1630-C.
acknowledgement: ack-nhfb
key: IEEE CA5 '81
rawnote: IEEE catalog number 81CH1630-C.
booktitle:
Proceedings: 5th Symposium on Computer Arithmetic, May 18--19, 1981, University of Michigan, Ann Arbor, Michigan

title:
Proceedings: 5th Symposium on Computer Arithmetic: May 18--19, 1981, University of Michigan, Ann Arbor, Michigan

keywords:
ARITH-5; Computer arithmetic and logic units --- Congresses.; Electronic digital computers --- Programming --- Congresses.; Floating-point arithmetic Congresses.

rawbooktitle:
Proceedings: 5th Symposium on Computer Arithmetic, May 18--19, 1981, University of Michigan, Ann Arbor, Michigan

rawtitle:
Proceedings: 5th Symposium on Computer Arithmetic: May 18--19, 1981, University of Michigan, Ann Arbor, Michigan

entry:
@Proceedings{IEEE:1981:PSC,
  key =          "IEEE CA5 '81",
  booktitle =    "Proceedings: 5th Symposium on Computer Arithmetic, May
                 18--19, 1981, University of Michigan, Ann Arbor,
                 Michigan",
  title =        "Proceedings: 5th Symposium on Computer Arithmetic: May
                 18--19, 1981, University of Michigan, Ann Arbor,
                 Michigan",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "vii + 278",
  year =         "1981",
  LCCN =         "QA 76.6 S985t 1981",
  bibdate =      "Sat Feb 24 15:01:45 MST 1996",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "IEEE catalog number 81CH1630-C.",
  acknowledgement = ack-nhfb,
  keywords =     "ARITH-5; Computer arithmetic and logic units ---
                 Congresses.; Electronic digital computers ---
                 Programming --- Congresses.; Floating-point arithmetic
                 Congresses.",
  xxISBN =       "(none)",
}


bibtype: proceedings
filename: fparith.bib
label: Messina:1982:PMM
editor: P. C. Messina and A. Murli
volume: 142
publisher: pub-SV
address: pub-SV:adr
pages: 271
year: 1982
ISBN: 0-387-11603-6 (New York), 3-540-11603-6 (Berlin) OR 0387116036 (New York), 3540116036 (Berlin)
LCCN: QA76.95 .P76 1982
bibdate: Sat Sep 24 00:30:07 1994
bibtimestamp: 1994.09.24 00:30:07 ???
series: Lecture Notes in Computer Science
acknowledgement: ack-nhfb
raweditor: P. C. Messina and A. Murli
booktitle:
Problems and Methodologies in Mathematical Software Production: International Seminar held at Sorrento, Italy, November 3--8, 1980

title:
Problems and Methodologies in Mathematical Software Production: International Seminar held at Sorrento, Italy, November 3--8, 1980

ISBN13:
978-0-387-11603-7 (New York), 978-3-540-11603-5 (Berlin) OR 9780387116037 (New York), 9783540116035 (Berlin)

rawbooktitle:
{Problems and Methodologies in Mathematical Software Production: International Seminar held at Sorrento, Italy, November 3--8, 1980}

rawtitle:
{Problems and Methodologies in Mathematical Software Production: International Seminar held at Sorrento, Italy, November 3--8, 1980}

entry:
@Proceedings{Messina:1982:PMM,
  editor =       "P. C. Messina and A. Murli",
  booktitle =    "{Problems and Methodologies in Mathematical Software
                 Production: International Seminar held at Sorrento,
                 Italy, November 3--8, 1980}",
  title =        "{Problems and Methodologies in Mathematical Software
                 Production: International Seminar held at Sorrento,
                 Italy, November 3--8, 1980}",
  volume =       "142",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "271",
  year =         "1982",
  ISBN =         "0-387-11603-6 (New York), 3-540-11603-6 (Berlin)",
  ISBN-13 =      "978-0-387-11603-7 (New York), 978-3-540-11603-5
                 (Berlin)",
  LCCN =         "QA76.95 .P76 1982",
  bibdate =      "Sat Sep 24 00:30:07 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       "Lecture Notes in Computer Science",
  acknowledgement = ack-nhfb,
}


bibtype: book
filename: fparith.bib
label: Randell:1982:ODC
editor: Brian Randell
booktitle: The Origins of Digital Computers: Selected Papers
title: The Origins of Digital Computers: Selected Papers
publisher: pub-SV
address: pub-SV:adr
edition: Third
pages: xvi + 580
year: 1982
ISBN: 0-387-11319-3, 3-540-11319-3 OR 0387113193, 3540113193
ISBN13: 978-0-387-11319-7, 978-3-540-11319-5 OR 9780387113197, 9783540113195
LCCN: TK7885.A5 O741 1982
bibdate: Sun Nov 03 08:28:47 2002
bibtimestamp: 2002.11.03 08:28:47 ???
series: Texts and monographs in computer science
remark: See also other editions cite Randell:1973:ODC,Randell:1975:ODC.
acknowledgement: ack-nhfb
rawbooktitle: The Origins of Digital Computers: Selected Papers
raweditor: Brian Randell
rawtitle: The Origins of Digital Computers: Selected Papers
bibsource:
https://www.math.utah.edu/pub/bibnet/authors/b/babbage-charles.bib; https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib; https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib; https://www.math.utah.edu/pub/tex/bib/cryptography.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/mathcw.bib

TOC:
Chapter I: Introduction / 1 par Chapter II: Analytical Engines / 9 2.1. On the Mathematical Powers of the Calculating Engine / C. Babbage (1837) / 19 2.2. Report of the Committee ldots appointed to consider the advisability and to estimate the expense of constructing Mr. Babbage's Analytical Machine, and of printing tables by its means / C. W. Merrifield (1879) / 55 2.3. Babbage's Analytical Engine / H. P. Babbage (1910) / 67 2.4. On a Proposed Analytical Machine / P. E. Ludgate (1909) / 73 2.5. Essays on Automatics -- Its Definition -- Theoretical Extent of its Applications / L. Torres Y Quevedo 1914 / 89 2.6. Electromechanical Calculating Machine / L. Torres y Quevedo (1920) / 109 2.7. Scheme of Assembly of a Machine Suitable for the Calculations of Celestial Mechanics / L. Couffignal (1938) / 121 par Chapter III: Tabulating Machines / 127 3.1. An Electric Tabulating System / H. Hollerith (1889) / 133 3.2. Calculating Machines: Their Principles and Evolution / L. Couffignal (1933) / 145 3.3. The Automatic Calculator IPM / H.-J. Dreyer and A. Walther (1946) / 155 par Chapter IV: Zuse and Schreyer / 159 4.1. Method for Automatic Execution of Calculations with the aid of Computers / K. Zuse 1936 / 163 4.2. Technical Computing Machines / H. Schreyer (1939) / 171 4.3. The Outline of a Computer Development from Mechanics to Electronics / K. Zuse 1962 / 175 par Chapter V: Aiken and IBM / 191 5.1. Proposed Automatic Calculating Machine / H. H. Aiken (1937) / 195 5.2. The Automatic Sequence Controlled Calculator / H. H. Aiken and G. M. Hopper (1946) / 203 5.3. Electrons and Computation / W. J. Eckert (1948) / 223 5.4. The IBM Card-Programmed Electronic Calculator / J. W. Sheldon and L. Tatum (1951) / 233 par Chapter VI: Bell Telephone Laboratories / 241 6.1. Computer / G. R. Stibitz (1940) / 247 6.2. The Relay Interpolator / O. Cesareo (1946) / 253 6.3. The Ballistic Computer / J. Juley (1947) / 257 6.4. A Bell Telephone Laboratories' Computing Machine / F. L. Alt (1948) / 263 par Chapter VII: The Advent of Electronic Computers / 293 7.1. Binary Calculation / E. W. Phillips (1936) / 303 7.2. Computing Machine for the Solution of Large Systems of Linear Algebraic Equations / J. V. Atanasoff (1940) / 315 7.3. Arithmetical Machine / V. Bush (1940) / 337 7.4. Report on Electronic Predictors for Anti-Aircraft Fire Control / J. A. Rajchman et al. (1942) / 345 7.5. Colossus: Godfather of the Computer / B. Randell (1977) / 349 7.6. The Use of High Speed Vacuum Tube Devices for Calculating / J. W. Mauchly (1942) / 355 7.7. The Electronic Numerical Integrator and Computer. (ENIAC) / H. H. Goldstine and A. Goldstine (1946) / 359 par Chapter VIII: Stored Program Electronic Computers / 375 8.1. First Draft of a Report on the EDVAC / J. von Neumann (1945) / 383 8.2. Preparation of Problems for EDVAC-type Machines / J. W. Mauchly (1947) / 393 8.3. Preliminary Discussion of the Logical Design of an Electronic Computing Instrument / A. W. Burks et al. (1946) / 399 8.4. Electronic Digital Computers / F. C. Williams and T. Kilburn (1948) / 415 8.5. The EDSAC / M. V. Wilkes and W. Renwick (1949) / 417 8.6. The EDSAC Demonstration / B. H. Worsley (1949) / 423 par Bibliography / 431 Index to Bibliography / 545 Subject Index / 563

rawTOC:
Chapter I: Introduction / 1 \par Chapter II: Analytical Engines / 9 \\ 2.1. On the Mathematical Powers of the Calculating Engine / C. Babbage (1837) / 19 \\ 2.2. Report of the Committee \ldots{} appointed to consider the advisability and to estimate the expense of constructing Mr. Babbage's Analytical Machine, and of printing tables by its means / C. W. Merrifield (1879) / 55 \\ 2.3. Babbage's Analytical Engine / H. P. Babbage (1910) / 67 \\ 2.4. On a Proposed Analytical Machine / P. E. Ludgate (1909) / 73 \\ 2.5. Essays on Automatics -- Its Definition -- Theoretical Extent of its Applications / L. Torres Y Quevedo 1914 / 89 \\ 2.6. Electromechanical Calculating Machine / L. Torres y Quevedo (1920) / 109 \\ 2.7. Scheme of Assembly of a Machine Suitable for the Calculations of Celestial Mechanics / L. Couffignal (1938) / 121 \par Chapter III: Tabulating Machines / 127 \\ 3.1. An Electric Tabulating System / H. Hollerith (1889) / 133 \\ 3.2. Calculating Machines: Their Principles and Evolution / L. Couffignal (1933) / 145 \\ 3.3. The Automatic Calculator IPM / H.-J. Dreyer and A. Walther (1946) / 155 \par Chapter IV: Zuse and Schreyer / 159 \\ 4.1. Method for Automatic Execution of Calculations with the aid of Computers / K. Zuse 1936 / 163 \\ 4.2. Technical Computing Machines / H. Schreyer (1939) / 171 \\ 4.3. The Outline of a Computer Development from Mechanics to Electronics / K. Zuse 1962 / 175 \par Chapter V: Aiken and IBM / 191 \\ 5.1. Proposed Automatic Calculating Machine / H. H. Aiken (1937) / 195 \\ 5.2. The Automatic Sequence Controlled Calculator / H. H. Aiken and G. M. Hopper (1946) / 203 \\ 5.3. Electrons and Computation / W. J. Eckert (1948) / 223 \\ 5.4. The IBM Card-Programmed Electronic Calculator / J. W. Sheldon and L. Tatum (1951) / 233 \par Chapter VI: Bell Telephone Laboratories / 241 \\ 6.1. Computer / G. R. Stibitz (1940) / 247 \\ 6.2. The Relay Interpolator / O. Cesareo (1946) / 253 \\ 6.3. The Ballistic Computer / J. Juley (1947) / 257 \\ 6.4. A Bell Telephone Laboratories' Computing Machine / F. L. Alt (1948) / 263 \par Chapter VII: The Advent of Electronic Computers / 293 \\ 7.1. Binary Calculation / E. W. Phillips (1936) / 303 \\ 7.2. Computing Machine for the Solution of Large Systems of Linear Algebraic Equations / J. V. Atanasoff (1940) / 315 \\ 7.3. Arithmetical Machine / V. Bush (1940) / 337 \\ 7.4. Report on Electronic Predictors for Anti-Aircraft Fire Control / J. A. Rajchman et al. (1942) / 345 \\ 7.5. Colossus: Godfather of the Computer / B. Randell (1977) / 349 \\ 7.6. The Use of High Speed Vacuum Tube Devices for Calculating / J. W. Mauchly (1942) / 355 \\ 7.7. The Electronic Numerical Integrator and Computer. (ENIAC) / H. H. Goldstine and A. Goldstine (1946) / 359 \par Chapter VIII: Stored Program Electronic Computers / 375 \\ 8.1. First Draft of a Report on the EDVAC / J. von Neumann (1945) / 383 \\ 8.2. Preparation of Problems for EDVAC-type Machines / J. W. Mauchly (1947) / 393 \\ 8.3. Preliminary Discussion of the Logical Design of an Electronic Computing Instrument / A. W. Burks et al. (1946) / 399 \\ 8.4. Electronic Digital Computers / F. C. Williams and T. Kilburn (1948) / 415 \\ 8.5. The EDSAC / M. V. Wilkes and W. Renwick (1949) / 417 \\ 8.6. The EDSAC Demonstration / B. H. Worsley (1949) / 423 \par Bibliography / 431 \\ Index to Bibliography / 545 \\ Subject Index / 563

entry:
@Book{Randell:1982:ODC,
  editor =       "Brian Randell",
  booktitle =    "The Origins of Digital Computers: Selected Papers",
  title =        "The Origins of Digital Computers: Selected Papers",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  edition =      "Third",
  pages =        "xvi + 580",
  year =         "1982",
  ISBN =         "0-387-11319-3, 3-540-11319-3",
  ISBN-13 =      "978-0-387-11319-7, 978-3-540-11319-5",
  LCCN =         "TK7885.A5 O741 1982",
  bibdate =      "Sun Nov 03 08:28:47 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/babbage-charles.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
                 https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib;
                 https://www.math.utah.edu/pub/tex/bib/cryptography.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcw.bib",
  series =       "Texts and monographs in computer science",
  acknowledgement = ack-nhfb,
  remark =       "See also other editions
                 \cite{Randell:1973:ODC,Randell:1975:ODC}.",
  tableofcontents = "Chapter I: Introduction / 1 \par

                 Chapter II: Analytical Engines / 9 \\
                 2.1. On the Mathematical Powers of the Calculating
                 Engine / C. Babbage (1837) / 19 \\
                 2.2. Report of the Committee \ldots{} appointed to
                 consider the advisability and to estimate the expense
                 of constructing Mr. Babbage's Analytical Machine, and
                 of printing tables by its means / C. W. Merrifield
                 (1879) / 55 \\
                 2.3. Babbage's Analytical Engine / H. P. Babbage (1910)
                 / 67 \\
                 2.4. On a Proposed Analytical Machine / P. E. Ludgate
                 (1909) / 73 \\
                 2.5. Essays on Automatics -- Its Definition --
                 Theoretical Extent of its Applications / L. Torres Y
                 Quevedo 1914 / 89 \\
                 2.6. Electromechanical Calculating Machine / L. Torres
                 y Quevedo (1920) / 109 \\
                 2.7. Scheme of Assembly of a Machine Suitable for the
                 Calculations of Celestial Mechanics / L. Couffignal
                 (1938) / 121 \par

                 Chapter III: Tabulating Machines / 127 \\
                 3.1. An Electric Tabulating System / H. Hollerith
                 (1889) / 133 \\
                 3.2. Calculating Machines: Their Principles and
                 Evolution / L. Couffignal (1933) / 145 \\
                 3.3. The Automatic Calculator IPM / H.-J. Dreyer and A.
                 Walther (1946) / 155 \par

                 Chapter IV: Zuse and Schreyer / 159 \\
                 4.1. Method for Automatic Execution of Calculations
                 with the aid of Computers / K. Zuse 1936 / 163 \\
                 4.2. Technical Computing Machines / H. Schreyer (1939)
                 / 171 \\
                 4.3. The Outline of a Computer Development from
                 Mechanics to Electronics / K. Zuse 1962 / 175
                 \par

                 Chapter V: Aiken and IBM / 191 \\
                 5.1. Proposed Automatic Calculating Machine / H. H.
                 Aiken (1937) / 195 \\
                 5.2. The Automatic Sequence Controlled Calculator / H.
                 H. Aiken and G. M. Hopper (1946) / 203 \\
                 5.3. Electrons and Computation / W. J. Eckert (1948) /
                 223 \\
                 5.4. The IBM Card-Programmed Electronic Calculator / J.
                 W. Sheldon and L. Tatum (1951) / 233 \par

                 Chapter VI: Bell Telephone Laboratories / 241 \\
                 6.1. Computer / G. R. Stibitz (1940) / 247 \\
                 6.2. The Relay Interpolator / O. Cesareo (1946) / 253
                 \\
                 6.3. The Ballistic Computer / J. Juley (1947) / 257 \\
                 6.4. A Bell Telephone Laboratories' Computing Machine /
                 F. L. Alt (1948) / 263 \par

                 Chapter VII: The Advent of Electronic Computers / 293
                 \\
                 7.1. Binary Calculation / E. W. Phillips (1936) / 303
                 \\
                 7.2. Computing Machine for the Solution of Large
                 Systems of Linear Algebraic Equations / J. V. Atanasoff
                 (1940) / 315 \\
                 7.3. Arithmetical Machine / V. Bush (1940) / 337 \\
                 7.4. Report on Electronic Predictors for Anti-Aircraft
                 Fire Control / J. A. Rajchman et al. (1942) / 345 \\
                 7.5. Colossus: Godfather of the Computer / B. Randell
                 (1977) / 349 \\
                 7.6. The Use of High Speed Vacuum Tube Devices for
                 Calculating / J. W. Mauchly (1942) / 355 \\
                 7.7. The Electronic Numerical Integrator and Computer.
                 (ENIAC) / H. H. Goldstine and A. Goldstine (1946) / 359
                 \par

                 Chapter VIII: Stored Program Electronic Computers / 375
                 \\
                 8.1. First Draft of a Report on the EDVAC / J. von
                 Neumann (1945) / 383 \\
                 8.2. Preparation of Problems for EDVAC-type Machines /
                 J. W. Mauchly (1947) / 393 \\
                 8.3. Preliminary Discussion of the Logical Design of an
                 Electronic Computing Instrument / A. W. Burks et al.
                 (1946) / 399 \\
                 8.4. Electronic Digital Computers / F. C. Williams and
                 T. Kilburn (1948) / 415 \\
                 8.5. The EDSAC / M. V. Wilkes and W. Renwick (1949) /
                 417 \\
                 8.6. The EDSAC Demonstration / B. H. Worsley (1949) /
                 423 \par

                 Bibliography / 431 \\
                 Index to Bibliography / 545 \\
                 Subject Index / 563",
}


bibtype: proceedings
filename: fparith.bib
label: Reid:1982:RBN
editor: John K. Reid
publisher: pub-ENH
address: pub-ENH:adr
pages: x + 377
year: 1982
ISBN: 0-444-86377-X OR 044486377X
ISBN13: 978-0-444-86377-5 OR 9780444863775
LCCN: QA297 .I34 1981
bibdate: Tue Sep 06 22:34:51 1994
bibtimestamp: 1994.09.06 22:34:51 ???
acknowledgement: ack-nhfb
authordates: Christian H. Reinsch (?? ?? 1932--8 October 2022)
raweditor: John K. Reid
booktitle:
The Relationship Between Numerical Computation and Programming Languages: Proceedings of the IFIP TC2 Working Conference on the Relationship between Numerical Computation and Programming Languages, Boulder, Colorado, USA., 3--7 August, 1981

title:
The Relationship Between Numerical Computation and Programming Languages: Proceedings of the IFIP TC2 Working Conference on the Relationship between Numerical Computation and Programming Languages, Boulder, Colorado, USA., 3--7 August, 1981

TOC:
PREFACE v LIST OF CONTENTS vii SESSION 1: INTRODUCTION. Chair: C. L. Lawson. Discussant: B. Ford 1 Programming Languages: Power, Trends and Facilities for Numerical Computation. J. R. Rice 3 Programming Languages for Numerical Subroutine Libraries. J. J. Du Croz 17 Experience with the Olympus System. K. V. Roberts 33 SESSION 2: ARITHMETIC. 49 Chair: H. J. Stetter, Discussant: R. P. Brent Floating-point Parameters, Models and Standards. W. J. Cody 51 The Use of Controlled Precision. T. E. Hull 71 A Synopsis of Interval Arithmetic for the Designer of Programming Languages. C. Reinsch 85 SESSION 3: ARITHMETIC AND SYMBOLIC MATHEMATICS 101 Chair: W. Cowell, Discussant: W. S. Brown The Near Orthogonality of Syntax, Semantics and Diagnostics in Numerical Programming Environments. W. Kahan and J. T. Coonen 103 Symbolic Manipulation Languages and Numerical Computation: Trends. R. J. Fateman 117 Programming Languages for Symbolic Algebra and Numerical Analysis. W. M. Gentleman 131 SESSION 4: DATA STRUCTURES. 143 Chair: M. Paul, Discussant: P. Kemp Data Structures for Numerical Quadrature. L. M. Delves 145 Data Structures for Sparse Matrices. J. K. Reid 153 Array Processing Features in the Next Fortran. B. T. Smith 163 Examples of Array Processing in the Next Fortran. A. Wilson 179 SESSION 5: PARALLELISM; LANGUAGE EVOLUTION. 185 Chair: J. A. Nelder, Discussant: G. Paul Exception Handling in Array Languages. T. W. Lake 187 A Framework for Language Evolution. J. L. Wagener 197 Languages and High-performance Computations. D. Kuck, D. Padua, A. Sameh and M. Wolfe 205 SESSION 6: PROGRAM STRUCTURE. 223 Chair: J. C. Adams, Discussant: E. L. Battiste Numerical Packages in Ada. S. J. Hammarling and B. A. wichmann 225 Tasking Features in Programming Languages. O. Roubine 245 Language Support for Floating Point. S. Feldman 263 OVERALL SESSION DISCUSSION. 275 SESSION 7: OPEN SESSION. 277 Chair: B. Einarsson, Discussant: F. N. Fritsch A Combined Lexical, Syntactic, and Semantic Approach for Improving Notation. M. B. Wells 279 Program Transformation and Language Design. J. M. Boyle 285 Programming Parallel Numerical Algorithms in Ada. E. K. Blum 297 Programming in Algol 68 (as a host) and the usage of Fortran (program libraries). C. G. van der Laan 305 The Fortran of the Future. 317 F. N. Fritsch (ed.) - Exception handling in Fortran (J. A. M. Snoek) 317 - Conformity - towards a less permissive standard for Fortran (D. T. Muxworthy) 318 - An alternative approach to the evolution of Fortran (W. S. Brown, S. 1. Feldman, N. L. Schryer, L. D. Fosdick) 320 - Notes on Fortran evolution (E. L. Battiste) 322 - Discussion 324 SESSION 8: SOURCE TO SOURCE TRANSFORMATIONS AND LANGUAGE COMPLEXITY. 329 Chair: J. M. Boyle, Discussant: Th. J. Dekker Specification Languages and Program Transformation. P. Pepper 331 Tools for Numerical Programming. W. Miller 347 Languageless Programming. A. van Wijngaarden 361 LIST OF PARTICIPANTS. 373

rawbooktitle:
{The Relationship Between Numerical Computation and Programming Languages: Proceedings of the IFIP TC2 Working Conference on the Relationship between Numerical Computation and Programming Languages, Boulder, Colorado, USA., 3--7 August, 1981}

rawtitle:
{The Relationship Between Numerical Computation and Programming Languages: Proceedings of the IFIP TC2 Working Conference on the Relationship between Numerical Computation and Programming Languages, Boulder, Colorado, USA., 3--7 August, 1981}

rawTOC:
PREFACE v\\ LIST OF CONTENTS vii\\ SESSION 1: INTRODUCTION. Chair: C. L. Lawson. Discussant: B. Ford 1\\ Programming Languages: Power, Trends and Facilities for Numerical Computation. J. R. Rice 3\\ Programming Languages for Numerical Subroutine Libraries. J. J. Du Croz 17\\ Experience with the Olympus System. K. V. Roberts 33\\ SESSION 2: ARITHMETIC. 49 Chair: H. J. Stetter, Discussant: R. P. Brent\\ Floating-point Parameters, Models and Standards. W. J. Cody 51\\ The Use of Controlled Precision. T. E. Hull 71\\ A Synopsis of Interval Arithmetic for the Designer of Programming Languages. C. Reinsch 85\\ SESSION 3: ARITHMETIC AND SYMBOLIC MATHEMATICS 101 Chair: W. Cowell, Discussant: W. S. Brown\\ The Near Orthogonality of Syntax, Semantics and Diagnostics in Numerical Programming Environments. W. Kahan and J. T. Coonen 103\\ Symbolic Manipulation Languages and Numerical Computation: Trends. R. J. Fateman 117\\ Programming Languages for Symbolic Algebra and Numerical Analysis. W. M. Gentleman 131\\ SESSION 4: DATA STRUCTURES. 143 Chair: M. Paul, Discussant: P. Kemp\\ Data Structures for Numerical Quadrature. L. M. Delves 145\\ Data Structures for Sparse Matrices. J. K. Reid 153\\ Array Processing Features in the Next Fortran. B. T. Smith 163\\ Examples of Array Processing in the Next Fortran. A. Wilson 179\\ SESSION 5: PARALLELISM; LANGUAGE EVOLUTION. 185 Chair: J. A. Nelder, Discussant: G. Paul\\ Exception Handling in Array Languages. T. W. Lake 187\\ A Framework for Language Evolution. J. L. Wagener 197\\ Languages and High-performance Computations. D. Kuck, D. Padua, A. Sameh and M. Wolfe 205\\ SESSION 6: PROGRAM STRUCTURE. 223 Chair: J. C. Adams, Discussant: E. L. Battiste\\ Numerical Packages in Ada. S. J. Hammarling and B. A. wichmann 225\\ Tasking Features in Programming Languages. O. Roubine 245\\ Language Support for Floating Point. S. Feldman 263\\ OVERALL SESSION DISCUSSION. 275\\ SESSION 7: OPEN SESSION. 277 Chair: B. Einarsson, Discussant: F. N. Fritsch\\ A Combined Lexical, Syntactic, and Semantic Approach for Improving Notation. M. B. Wells 279\\ Program Transformation and Language Design. J. M. Boyle 285\\ Programming Parallel Numerical Algorithms in Ada. E. K. Blum 297\\ Programming in Algol 68 (as a host) and the usage of Fortran (program libraries). C. G. van der Laan 305\\ The Fortran of the Future. 317 F. N. Fritsch (ed.) - Exception handling in Fortran (J. A. M. Snoek) 317 - Conformity - towards a less permissive standard for Fortran (D. T. Muxworthy) 318 - An alternative approach to the evolution of Fortran (W. S. Brown, S. 1. Feldman, N. L. Schryer, L. D. Fosdick) 320 - Notes on Fortran evolution (E. L. Battiste) 322 - Discussion 324\\ SESSION 8: SOURCE TO SOURCE TRANSFORMATIONS AND LANGUAGE COMPLEXITY. 329 Chair: J. M. Boyle, Discussant: Th. J. Dekker\\ Specification Languages and Program Transformation. P. Pepper 331\\ Tools for Numerical Programming. W. Miller 347\\ Languageless Programming. A. van Wijngaarden 361\\ LIST OF PARTICIPANTS. 373

entry:
@Proceedings{Reid:1982:RBN,
  editor =       "John K. Reid",
  booktitle =    "{The Relationship Between Numerical Computation and
                 Programming Languages: Proceedings of the IFIP TC2
                 Working Conference on the Relationship between
                 Numerical Computation and Programming Languages,
                 Boulder, Colorado, USA., 3--7 August, 1981}",
  title =        "{The Relationship Between Numerical Computation and
                 Programming Languages: Proceedings of the IFIP TC2
                 Working Conference on the Relationship between
                 Numerical Computation and Programming Languages,
                 Boulder, Colorado, USA., 3--7 August, 1981}",
  publisher =    pub-ENH,
  address =      pub-ENH:adr,
  pages =        "x + 377",
  year =         "1982",
  ISBN =         "0-444-86377-X",
  ISBN-13 =      "978-0-444-86377-5",
  LCCN =         "QA297 .I34 1981",
  bibdate =      "Tue Sep 06 22:34:51 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022)",
  tableofcontents = "PREFACE v\\
                 LIST OF CONTENTS vii\\
                 SESSION 1: INTRODUCTION. Chair: C. L. Lawson.
                 Discussant: B. Ford 1\\
                 Programming Languages: Power, Trends and Facilities for
                 Numerical Computation. J. R. Rice 3\\
                 Programming Languages for Numerical Subroutine
                 Libraries. J. J. Du Croz 17\\
                 Experience with the Olympus System. K. V. Roberts 33\\
                 SESSION 2: ARITHMETIC. 49 Chair: H. J. Stetter,
                 Discussant: R. P. Brent\\
                 Floating-point Parameters, Models and Standards. W. J.
                 Cody 51\\
                 The Use of Controlled Precision. T. E. Hull 71\\
                 A Synopsis of Interval Arithmetic for the Designer of
                 Programming Languages. C. Reinsch 85\\
                 SESSION 3: ARITHMETIC AND SYMBOLIC MATHEMATICS 101
                 Chair: W. Cowell, Discussant: W. S. Brown\\
                 The Near Orthogonality of Syntax, Semantics and
                 Diagnostics in Numerical Programming Environments. W.
                 Kahan and J. T. Coonen 103\\
                 Symbolic Manipulation Languages and Numerical
                 Computation: Trends. R. J. Fateman 117\\
                 Programming Languages for Symbolic Algebra and
                 Numerical Analysis. W. M. Gentleman 131\\
                 SESSION 4: DATA STRUCTURES. 143 Chair: M. Paul,
                 Discussant: P. Kemp\\
                 Data Structures for Numerical Quadrature. L. M. Delves
                 145\\
                 Data Structures for Sparse Matrices. J. K. Reid 153\\
                 Array Processing Features in the Next Fortran. B. T.
                 Smith 163\\
                 Examples of Array Processing in the Next Fortran. A.
                 Wilson 179\\
                 SESSION 5: PARALLELISM; LANGUAGE EVOLUTION. 185 Chair:
                 J. A. Nelder, Discussant: G. Paul\\
                 Exception Handling in Array Languages. T. W. Lake
                 187\\
                 A Framework for Language Evolution. J. L. Wagener
                 197\\
                 Languages and High-performance Computations. D. Kuck,
                 D. Padua, A. Sameh and M. Wolfe 205\\
                 SESSION 6: PROGRAM STRUCTURE. 223 Chair: J. C. Adams,
                 Discussant: E. L. Battiste\\
                 Numerical Packages in Ada. S. J. Hammarling and B. A.
                 wichmann 225\\
                 Tasking Features in Programming Languages. O. Roubine
                 245\\
                 Language Support for Floating Point. S. Feldman 263\\
                 OVERALL SESSION DISCUSSION. 275\\
                 SESSION 7: OPEN SESSION. 277 Chair: B. Einarsson,
                 Discussant: F. N. Fritsch\\
                 A Combined Lexical, Syntactic, and Semantic Approach
                 for Improving Notation. M. B. Wells 279\\
                 Program Transformation and Language Design. J. M. Boyle
                 285\\
                 Programming Parallel Numerical Algorithms in Ada. E. K.
                 Blum 297\\
                 Programming in Algol 68 (as a host) and the usage of
                 Fortran (program libraries). C. G. van der Laan 305\\
                 The Fortran of the Future. 317 F. N. Fritsch (ed.) -
                 Exception handling in Fortran (J. A. M. Snoek) 317 -
                 Conformity - towards a less permissive standard for
                 Fortran (D. T. Muxworthy) 318 - An alternative approach
                 to the evolution of Fortran (W. S. Brown, S. 1.
                 Feldman, N. L. Schryer, L. D. Fosdick) 320 - Notes on
                 Fortran evolution (E. L. Battiste) 322 - Discussion
                 324\\
                 SESSION 8: SOURCE TO SOURCE TRANSFORMATIONS AND
                 LANGUAGE COMPLEXITY. 329 Chair: J. M. Boyle,
                 Discussant: Th. J. Dekker\\
                 Specification Languages and Program Transformation. P.
                 Pepper 331\\
                 Tools for Numerical Programming. W. Miller 347\\
                 Languageless Programming. A. van Wijngaarden 361\\
                 LIST OF PARTICIPANTS. 373",
}


bibtype: book
filename: fparith.bib
label: Rodrigue:1982:AC
editor: Garry Rodrigue
booktitle: Parallel computations
title: Parallel computations
volume: 1
publisher: pub-ACADEMIC
address: pub-ACADEMIC:adr
pages: xii + 408
year: 1982
ISBN: 0-12-592101-2 OR 0125921012
ISBN13: 978-0-12-592101-5 OR 9780125921015
bibdate: Sat Nov 29 11:11:02 2003
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2003.11.29 11:11:02 ???
series: Computational techniques
acknowledgement: ack-nhfb
rawbooktitle: Parallel computations
raweditor: Garry Rodrigue
rawtitle: Parallel computations
entry:
@Book{Rodrigue:1982:AC,
  editor =       "Garry Rodrigue",
  booktitle =    "Parallel computations",
  title =        "Parallel computations",
  volume =       "1",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xii + 408",
  year =         "1982",
  ISBN =         "0-12-592101-2",
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  bibdate =      "Sat Nov 29 11:11:02 2003",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       "Computational techniques",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: Ruschitzka:1982:IWC
editor: Manfred Ruschitzka and M. Christensen and W. F. Ames and R. Vichnevetsky
publisher: pub-NORTH-HOLLAND
address: pub-NORTH-HOLLAND:adr
pages: xii + 329
year: 1982
ISBN: 0-444-86608-6 OR 0444866086
ISBN13: 978-0-444-86608-0 OR 9780444866080
LCCN: QA76.5 .I414 1982
bibdate: Wed Sep 07 22:56:44 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.07 22:56:44 ???
acknowledgement: ack-nj
key: IMACS '82
raweditor: Manfred Ruschitzka and M. Christensen and W. F. Ames and R. Vichnevetsky
booktitle:
IMACS World Congress on Systems Simulation and Scientific Computation (10th: 1982: Montreal, Quebec). Parallel and large-scale computers: performance, architecture, applications

title:
IMACS World Congress on Systems Simulation and Scientific Computation (10th: 1982: Montreal, Quebec). Parallel and large-scale computers: performance, architecture, applications

rawbooktitle:
{IMACS} World Congress on Systems Simulation and Scientific Computation (10th: 1982: Montreal, Quebec). Parallel and large-scale computers: performance, architecture, applications

rawtitle:
{IMACS} World Congress on Systems Simulation and Scientific Computation (10th: 1982: Montreal, Quebec). Parallel and large-scale computers: performance, architecture, applications

entry:
@Proceedings{Ruschitzka:1982:IWC,
  editor =       "Manfred Ruschitzka and M. Christensen and W. F. Ames
                 and R. Vichnevetsky",
  key =          "IMACS '82",
  booktitle =    "{IMACS} World Congress on Systems Simulation and
                 Scientific Computation (10th: 1982: Montreal, Quebec).
                 Parallel and large-scale computers: performance,
                 architecture, applications",
  title =        "{IMACS} World Congress on Systems Simulation and
                 Scientific Computation (10th: 1982: Montreal, Quebec).
                 Parallel and large-scale computers: performance,
                 architecture, applications",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "xii + 329",
  year =         "1982",
  ISBN =         "0-444-86608-6",
  ISBN-13 =      "978-0-444-86608-0",
  LCCN =         "QA76.5 .I414 1982",
  bibdate =      "Wed Sep 07 22:56:44 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}


bibtype: proceedings
filename: fparith.bib
label: Seck:1981:WWS
editor: Friedrich Seck
volume: 26
publisher: J. C. B. Mohr
address: Tubingen, West Germany
pages: 240
year: 1981
ISBN: 3-16-444151-7 OR 3164441517
ISBN13: 978-3-515-08004-0 OR 9783515080040
LCCN: QB29
bibdate: Sat Jul 27 11:16:04 MDT 2013
bibtimestamp: 2013.07.27 11:16:04 MDT
series: Contubernium
language: German
subject: Schickard, Wilhelm
acknowledgement: ack-nhfb
subjectdates: 1592--1635
raweditor: Friedrich Seck
booktitle:
Wissenschaftsgeschichte um Wilhelm Schickard: Vortrage bei dem Symposion der Universitat Tubingen im 500. Jahr ihres Bestehens am 24.und 25. Juni 1977. (German) [History of Science and William Schickard Presentations at the Symposium of the University of Tubingen in 500 Years of existence on 24th and 25th June 1977]

title:
Wissenschaftsgeschichte um Wilhelm Schickard: Vortrage bei dem Symposion der Universitat Tubingen im 500. Jahr ihres Bestehens am 24.und 25. Juni 1977. (German) [History of Science and William Schickard Presentations at the Symposium of the University of Tubingen in 500 Years of existence on 24th and 25th June 1977]

bibsource:
https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/scicontext.bib; z3950.gbv.de:20011/gvk

TOC:
Richard A. Jarrell / Astronomy at the University of Tubingen: The Work of Michael Mastlin / 9 Matthias Schramm / Ansatze zu einer darstellenden Geometrie bei Schickard / 21 Menso Folkerts / Spatmittelalterliche Multiplikationsmethoden, Nepers Rhabdologie und Schickards Rechenmaschine / 51 Ludolf von Mackensen / Wilhelm Schickards technische Entwurfe und die Erfindung seines Handplanetariums / 67 Manfred Buttner / Johannes Stoffler und die Beziehungen zwischen Geographie und Theologie im 16. Jahrhundert / 81 Jurgen Hubner / Johannes Kepler als Geograph im Kontext des theologischen Denkens seiner Zeit /99 Volker Bialas / Entwicklung und erste Anwendungen des Triangulationsverfahrens in der Geodasie des fruhen 17. Jahrhunderts / 115 Martin Brecht / Kritik und Reform der Wissenschaften bei Johann Valentin Andreae / 129 Berthold Sutter / Wissenschaft und geistige Stromungen zwischen dem Augsburger Religionsfrieden und dem Dreiss igjahrigen Krieg / 153

rawbooktitle:
{Wissenschaftsgeschichte um Wilhelm Schickard: Vortr{\"a}ge bei dem Symposion der Universit{\"a}t T{\"u}bingen im 500. Jahr ihres Bestehens am 24.und 25. Juni 1977}. ({German}) [{History of Science and William Schickard Presentations at the Symposium of the University of T{\"u}bingen in 500 Years of existence on 24th and 25th June 1977}]

rawtitle:
{Wissenschaftsgeschichte um Wilhelm Schickard: Vortr{\"a}ge bei dem Symposion der Universit{\"a}t T{\"u}bingen im 500. Jahr ihres Bestehens am 24.und 25. Juni 1977}. ({German}) [{History of Science and William Schickard Presentations at the Symposium of the University of T{\"u}bingen in 500 Years of existence on 24th and 25th June 1977}]

rawTOC:
Richard A. Jarrell / Astronomy at the University of T{\"u}bingen: The Work of Michael M{\"a}stlin / 9 \\ Matthias Schramm / Ans{\"a}tze zu einer darstellenden Geometrie bei Schickard / 21 \\ Menso Folkerts / Sp{\"a}tmittelalterliche Multiplikationsmethoden, Nepers Rhabdologie und Schickards Rechenmaschine / 51 \\ Ludolf von Mackensen / Wilhelm Schickards technische Entw{\"u}rfe und die Erfindung seines Handplanetariums / 67 \\ Manfred B{\"u}ttner / Johannes St{\"o}ffler und die Beziehungen zwischen Geographie und Theologie im 16. Jahrhundert / 81 \\ J{\"u}rgen H{\"u}bner / Johannes Kepler als Geograph im Kontext des theologischen Denkens seiner Zeit /99 \\ Volker Bialas / Entwicklung und erste Anwendungen des Triangulationsverfahrens in der Geod{\"a}sie des fr{\"u}hen 17. Jahrhunderts / 115 \\ Martin Brecht / Kritik und Reform der Wissenschaften bei Johann Valentin Andreae / 129 \\ Berthold Sutter / Wissenschaft und geistige Str{\"o}mungen zwischen dem Augsburger Religionsfrieden und dem Drei{\ss}igj{\"a}hrigen Krieg / 153

entry:
@Proceedings{Seck:1981:WWS,
  editor =       "Friedrich Seck",
  booktitle =    "{Wissenschaftsgeschichte um Wilhelm Schickard:
                 Vortr{\"a}ge bei dem Symposion der Universit{\"a}t
                 T{\"u}bingen im 500. Jahr ihres Bestehens am 24.und 25.
                 Juni 1977}. ({German}) [{History of Science and William
                 Schickard Presentations at the Symposium of the
                 University of T{\"u}bingen in 500 Years of existence on
                 24th and 25th June 1977}]",
  title =        "{Wissenschaftsgeschichte um Wilhelm Schickard:
                 Vortr{\"a}ge bei dem Symposion der Universit{\"a}t
                 T{\"u}bingen im 500. Jahr ihres Bestehens am 24.und 25.
                 Juni 1977}. ({German}) [{History of Science and William
                 Schickard Presentations at the Symposium of the
                 University of T{\"u}bingen in 500 Years of existence on
                 24th and 25th June 1977}]",
  volume =       "26",
  publisher =    "J. C. B. Mohr",
  address =      "T{\"u}bingen, West Germany",
  pages =        "240",
  year =         "1981",
  ISBN =         "3-16-444151-7",
  ISBN-13 =      "978-3-515-08004-0",
  LCCN =         "QB29",
  bibdate =      "Sat Jul 27 11:16:04 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/scicontext.bib;
                 z3950.gbv.de:20011/gvk",
  series =       "Contubernium",
  acknowledgement = ack-nhfb,
  language =     "German",
  subject =      "Schickard, Wilhelm",
  subject-dates = "1592--1635",
  tableofcontents = "Richard A. Jarrell / Astronomy at the University of
                 T{\"u}bingen: The Work of Michael M{\"a}stlin / 9 \\
                 Matthias Schramm / Ans{\"a}tze zu einer darstellenden
                 Geometrie bei Schickard / 21 \\
                 Menso Folkerts / Sp{\"a}tmittelalterliche
                 Multiplikationsmethoden, Nepers Rhabdologie und
                 Schickards Rechenmaschine / 51 \\
                 Ludolf von Mackensen / Wilhelm Schickards technische
                 Entw{\"u}rfe und die Erfindung seines Handplanetariums
                 / 67 \\
                 Manfred B{\"u}ttner / Johannes St{\"o}ffler und die
                 Beziehungen zwischen Geographie und Theologie im 16.
                 Jahrhundert / 81 \\
                 J{\"u}rgen H{\"u}bner / Johannes Kepler als Geograph im
                 Kontext des theologischen Denkens seiner Zeit /99 \\
                 Volker Bialas / Entwicklung und erste Anwendungen des
                 Triangulationsverfahrens in der Geod{\"a}sie des
                 fr{\"u}hen 17. Jahrhunderts / 115 \\
                 Martin Brecht / Kritik und Reform der Wissenschaften
                 bei Johann Valentin Andreae / 129 \\
                 Berthold Sutter / Wissenschaft und geistige
                 Str{\"o}mungen zwischen dem Augsburger Religionsfrieden
                 und dem Drei{\ss}igj{\"a}hrigen Krieg / 153",
}


bibtype: proceedings
filename: fparith.bib
label: Southcon:1982:SCR
publisher: Electronic Conventions, Inc.
address: El Segundo, CA, USA
pages: various
year: 1982
LCCN: TK 7801 S68 1982
bibdate: Fri Dec 08 13:03:00 1995
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1995.12.08 13:03:00 ???
acknowledgement: ack-nj
key: Southcon '82
booktitle:
Southcon / 82 Conference Record: Sessions Presented at Southcon / 82, Orlando, Florida, March 23--25, 1982

title:
Southcon / 82 Conference Record: Sessions Presented at Southcon / 82, Orlando, Florida, March 23--25, 1982

rawbooktitle:
Southcon\slash 82 Conference Record: Sessions Presented at Southcon\slash 82, Orlando, Florida, March 23--25, 1982

rawtitle:
Southcon\slash 82 Conference Record: Sessions Presented at Southcon\slash 82, Orlando, Florida, March 23--25, 1982

entry:
@Proceedings{Southcon:1982:SCR,
  key =          "Southcon '82",
  booktitle =    "Southcon\slash 82 Conference Record: Sessions
                 Presented at Southcon\slash 82, Orlando, Florida, March
                 23--25, 1982",
  title =        "Southcon\slash 82 Conference Record: Sessions
                 Presented at Southcon\slash 82, Orlando, Florida, March
                 23--25, 1982",
  publisher =    "Electronic Conventions, Inc.",
  address =      "El Segundo, CA, USA",
  pages =        "various",
  year =         "1982",
  LCCN =         "TK 7801 S68 1982",
  bibdate =      "Fri Dec 08 13:03:00 1995",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
  xxISBN =       "(none)",
}


bibtype: proceedings
filename: fparith.bib
label: Watson:1982:NAP
editor: George Alistair Watson
volume: 912
publisher: pub-SV
address: pub-SV:adr
pages: xi + 245
year: 1982
CODEN: LNMAA2
DOI: https://doi.org/10.1007/BFb0093144
ISSN: 0075-8434 (print), 1617-9692 (electronic) OR 00758434 (print), 16179692 (electronic)
ISSNL: 0075-8434 OR 00758434
LCCN: QA3 .L28 no. 912; QA1 .L471; QA297 .D915n 1981
bibdate: Sat Oct 29 15:16:39 1994
bibtimestamp: 1994.10.29 15:16:39 ???
series: ser-LECT-NOTES-MATH
URL: http://www.springerlink.com/content/978-3-540-39009-1
subject: Analisi numerica; Congressi; 1981; Dundee; Numerical analysis; Congresses
acknowledgement: ack-nhfb
bookpages: xi + 245
raweditor: George Alistair Watson
booktitle:
Numerical Analysis: Proceedings of the 9th Biennial Conference, held at Dundee, Scotland, June 23--26, 1981

title:
Numerical Analysis: Proceedings of the 9th Biennial Conference, held at Dundee, Scotland, June 23--26, 1981

ISBN:
0-387-11199-9 (softcover), 3-540-11199-9 (softcover), 3-540-39009-X (e-book) OR 0387111999 (softcover), 3540111999 (softcover), 354039009X (ebook)

ISBN13:
978-0-387-11199-5 (softcover), 978-3-540-11199-3 (softcover), 978-3-540-39009-1 (e-book) OR 9780387111995 (softcover), 9783540111993 (softcover), 9783540390091 (ebook)

bibsource:
fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib; https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/lnm1980.bib; library.ox.ac.uk:210/ADVANCE; melvyl.cdlib.org:210/CDL90

TOC:
P. H. Calamai and A. R. Conn / A second-order method for solving the continuous multifacility location problem / 1--25 M. P. Cullinan and M. J. D. Powell / Data smoothing by divided differences / 26--37 G. Dahlquist / On the control of the global error in stiff initial value problems / 38--49 L. M. Delves / Chebyshev methods for integral and differential equations / 50--63 J. Douglas, Jr. / Simulation of miscible displacement in porous media by a modified method of characteristic procedure / 64--70 I. S. Duff / Full matrix techniques in sparse Gaussian elimination / 71--84 R. Fletcher / Second order corrections for non-differentiable optimization / 85--114 C. W. Gear and K. A. Gallivan / Automatic methods for highly oscillatory ordinary differential equations / 115--124 G. H. Golub and M. L. Overton / Convergence of a two-stage Richardson iterative procedure for solving systems of linear equations / 125--139 J. G. Hayes: Curved knot lines and surfaces with ruled segments / 140--156 P. J. van der Houwen / On the time integration of parabolic differential equations / 157--168 T. E. Hull / Precision control, exception handling and a choice of numerical algorithms / 169--178 P. Lancaster / Generalized Hermitian matrices: a new frontier for numerical analysis? / 179--189 R. J. Y. McLeod / Some applications of geometry in numerical analysis / 190--229 L. B. Wahlbin / A quasioptimal estimate in piecewise polynomial Galerkin approximation of parabolic problems / 230 --245 Back matter / 249--251

rawbooktitle:
{Numerical Analysis: Proceedings of the 9th Biennial Conference, held at Dundee, Scotland, June 23--26, 1981}

rawtitle:
{Numerical Analysis: Proceedings of the 9th Biennial Conference, held at Dundee, Scotland, June 23--26, 1981}

rawTOC:
P. H. Calamai and A. R. Conn / A second-order method for solving the continuous multifacility location problem / 1--25 \\ M. P. Cullinan and M. J. D. Powell / Data smoothing by divided differences / 26--37 \\ G. Dahlquist / On the control of the global error in stiff initial value problems / 38--49 \\ L. M. Delves / Chebyshev methods for integral and differential equations / 50--63 \\ J. Douglas, Jr. / Simulation of miscible displacement in porous media by a modified method of characteristic procedure / 64--70 \\ I. S. Duff / Full matrix techniques in sparse Gaussian elimination / 71--84 \\ R. Fletcher / Second order corrections for non-differentiable optimization / 85--114 \\ C. W. Gear and K. A. Gallivan / Automatic methods for highly oscillatory ordinary differential equations / 115--124 \\ G. H. Golub and M. L. Overton / Convergence of a two-stage Richardson iterative procedure for solving systems of linear equations / 125--139 \\ J. G. Hayes: Curved knot lines and surfaces with ruled segments / 140--156 \\ P. J. van der Houwen / On the time integration of parabolic differential equations / 157--168 \\ T. E. Hull / Precision control, exception handling and a choice of numerical algorithms / 169--178 \\ P. Lancaster / Generalized Hermitian matrices: a new frontier for numerical analysis? / 179--189 \\ R. J. Y. McLeod / Some applications of geometry in numerical analysis / 190--229 \\ L. B. Wahlbin / A quasioptimal estimate in piecewise polynomial Galerkin approximation of parabolic problems / 230 --245 \\ Back matter / 249--251

entry:
@Proceedings{Watson:1982:NAP,
  editor =       "George Alistair Watson",
  booktitle =    "{Numerical Analysis: Proceedings of the 9th Biennial
                 Conference, held at Dundee, Scotland, June 23--26,
                 1981}",
  title =        "{Numerical Analysis: Proceedings of the 9th Biennial
                 Conference, held at Dundee, Scotland, June 23--26,
                 1981}",
  volume =       "912",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "xi + 245",
  pages =        "xi + 245",
  year =         "1982",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0093144",
  ISBN =         "0-387-11199-9 (softcover), 3-540-11199-9 (softcover),
                 3-540-39009-X (e-book)",
  ISBN-13 =      "978-0-387-11199-5 (softcover), 978-3-540-11199-3
                 (softcover), 978-3-540-39009-1 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  LCCN =         "QA3 .L28 no. 912; QA1 .L471; QA297 .D915n 1981",
  bibdate =      "Sat Oct 29 15:16:39 1994",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1980.bib;
                 library.ox.ac.uk:210/ADVANCE;
                 melvyl.cdlib.org:210/CDL90",
  series =       ser-LECT-NOTES-MATH,
  URL =          "http://www.springerlink.com/content/978-3-540-39009-1",
  acknowledgement = ack-nhfb,
  subject =      "Analisi numerica; Congressi; 1981; Dundee; Numerical
                 analysis; Congresses",
  tableofcontents = "P. H. Calamai and A. R. Conn / A second-order
                 method for solving the continuous multifacility
                 location problem / 1--25 \\
                 M. P. Cullinan and M. J. D. Powell / Data smoothing by
                 divided differences / 26--37 \\
                 G. Dahlquist / On the control of the global error in
                 stiff initial value problems / 38--49 \\
                 L. M. Delves / Chebyshev methods for integral and
                 differential equations / 50--63 \\
                 J. Douglas, Jr. / Simulation of miscible displacement
                 in porous media by a modified method of characteristic
                 procedure / 64--70 \\
                 I. S. Duff / Full matrix techniques in sparse Gaussian
                 elimination / 71--84 \\
                 R. Fletcher / Second order corrections for
                 non-differentiable optimization / 85--114 \\
                 C. W. Gear and K. A. Gallivan / Automatic methods for
                 highly oscillatory ordinary differential equations /
                 115--124 \\
                 G. H. Golub and M. L. Overton / Convergence of a
                 two-stage Richardson iterative procedure for solving
                 systems of linear equations / 125--139 \\
                 J. G. Hayes: Curved knot lines and surfaces with ruled
                 segments / 140--156 \\
                 P. J. van der Houwen / On the time integration of
                 parabolic differential equations / 157--168 \\
                 T. E. Hull / Precision control, exception handling and
                 a choice of numerical algorithms / 169--178 \\
                 P. Lancaster / Generalized Hermitian matrices: a new
                 frontier for numerical analysis? / 179--189 \\
                 R. J. Y. McLeod / Some applications of geometry in
                 numerical analysis / 190--229 \\
                 L. B. Wahlbin / A quasioptimal estimate in piecewise
                 polynomial Galerkin approximation of parabolic problems
                 / 230 --245 \\
                 Back matter / 249--251",
}


bibtype: proceedings
filename: fparith.bib
label: Anonymous:1983:PSC
editor: Anonymous
publisher: American Statistical Association
address: Washington, DC, USA
pages: xi + 245
year: 1983
ISSN: 0149-9963 OR 01499963
LCCN: QA276.4 .A43a
bibdate: Sat Nov 29 11:12:49 2003
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2003.11.29 11:12:49 ???
acknowledgement: ack-nhfb
raweditor: Anonymous
booktitle:
1983 proceedings of the statistical computing section: papers presented at the annual meeting of the American Statistical Association, Toronto, Canada, August 15--18, 1983

title:
1983 proceedings of the statistical computing section: papers presented at the annual meeting of the American Statistical Association, Toronto, Canada, August 15--18, 1983

rawbooktitle:
1983 proceedings of the statistical computing section: papers presented at the annual meeting of the American Statistical Association, Toronto, Canada, August 15--18, 1983

entry:
@Proceedings{Anonymous:1983:PSC,
  editor =       "Anonymous",
  booktitle =    "1983 proceedings of the statistical computing section:
                 papers presented at the annual meeting of the American
                 Statistical Association, Toronto, Canada, August
                 15--18, 1983",
  title =        "1983 proceedings of the statistical computing section:
                 papers presented at the annual meeting of the American
                 Statistical Association, Toronto, Canada, August
                 15--18, 1983",
  publisher =    "American Statistical Association",
  address =      "Washington, DC, USA",
  year =         "1983",
  ISBN =         "????",
  ISBN-13 =      "????",
  ISSN =         "0149-9963",
  LCCN =         "QA276.4 .A43a",
  bibdate =      "Sat Nov 29 11:12:49 2003",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: Gentle:1983:CSS
editor: James E. Gentle
publisher: pub-NORTH-HOLLAND
address: pub-NORTH-HOLLAND:adr
pages: xi + 379
year: 1983
ISBN: 0-444-86688-4 OR 0444866884
ISBN13: 978-0-444-86688-2 OR 9780444866882
LCCN: QA276.4 .S95 1983
bibdate: Tue Sep 06 22:39:53 1994
bibtimestamp: 1994.09.06 22:39:53 ???
acknowledgement: ack-nhfb
raweditor: James E. Gentle
booktitle:
Computer Science and Statistics: Proceedings of the Fifteenth Symposium on the Interface, Houston, Texas, March 1983

title:
Computer Science and Statistics: Proceedings of the Fifteenth Symposium on the Interface, Houston, Texas, March 1983

rawbooktitle:
Computer Science and Statistics: Proceedings of the Fifteenth Symposium on the Interface, Houston, Texas, March 1983

entry:
@Proceedings{Gentle:1983:CSS,
  editor =       "James E. Gentle",
  booktitle =    "Computer Science and Statistics: Proceedings of the
                 Fifteenth Symposium on the Interface, Houston, Texas,
                 March 1983",
  title =        "Computer Science and Statistics: Proceedings of the
                 Fifteenth Symposium on the Interface, Houston, Texas,
                 March 1983",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "xi + 379",
  year =         "1983",
  ISBN =         "0-444-86688-4",
  ISBN-13 =      "978-0-444-86688-2",
  LCCN =         "QA276.4 .S95 1983",
  bibdate =      "Tue Sep 06 22:39:53 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: IEEE:1983:IEE
publisher: pub-IEEE
address: pub-IEEE:adr
pages: various
year: 1983
LCCN: TK 5 I6514 1983
bibdate: Fri Dec 08 13:03:01 1995
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1995.12.08 13:03:01 ???
note: Two volumes.
acknowledgement: ack-nhfb
key: IEEE '83
rawnote: Two volumes.
booktitle:
1983 International Electrical, Electronics Conference: Proceedings, September 26--28, Automotive Building, Exhibition Place, Toronto, Canada

title:
1983 International Electrical, Electronics Conference: Proceedings, September 26--28, Automotive Building, Exhibition Place, Toronto, Canada

rawbooktitle:
1983 International Electrical, Electronics Conference: Proceedings, September 26--28, Automotive Building, Exhibition Place, Toronto, Canada

entry:
@Proceedings{IEEE:1983:IEE,
  key =          "IEEE '83",
  booktitle =    "1983 International Electrical, Electronics Conference:
                 Proceedings, September 26--28, Automotive Building,
                 Exhibition Place, Toronto, Canada",
  title =        "1983 International Electrical, Electronics Conference:
                 Proceedings, September 26--28, Automotive Building,
                 Exhibition Place, Toronto, Canada",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "various",
  year =         "1983",
  LCCN =         "TK 5 I6514 1983",
  bibdate =      "Fri Dec 08 13:03:01 1995",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "Two volumes.",
  acknowledgement = ack-nhfb,
  xxISBN =       "(none)",
}


bibtype: proceedings
filename: fparith.bib
label: IEEE:1983:PII
publisher: pub-IEEE
address: pub-IEEE:adr
pages: viii + 227
year: 1983
ISBN: 0-8186-0010-1 OR 0818600101
ISBN13: 978-0-8186-0010-4 OR 9780818600104
LCCN: QA 76.9 A73 I2 1983
bibdate: Wed Sep 07 23:43:15 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.07 23:43:15 ???
acknowledgement: ack-nj
key: IEEE CSO '83
booktitle:
IEEE International Workshop on Computer Systems Organization, March 29--31, 1983, Sheraton New Orleans Hotel, New Orleans

title:
IEEE International Workshop on Computer Systems Organization, March 29--31, 1983, Sheraton New Orleans Hotel, New Orleans

rawbooktitle:
{IEEE} International Workshop on Computer Systems Organization, March 29--31, 1983, Sheraton New Orleans Hotel, New Orleans

rawtitle:
{IEEE} International Workshop on Computer Systems Organization, March 29--31, 1983, Sheraton New Orleans Hotel, New Orleans

entry:
@Proceedings{IEEE:1983:PII,
  key =          "IEEE CSO '83",
  booktitle =    "{IEEE} International Workshop on Computer Systems
                 Organization, March 29--31, 1983, Sheraton New Orleans
                 Hotel, New Orleans",
  title =        "{IEEE} International Workshop on Computer Systems
                 Organization, March 29--31, 1983, Sheraton New Orleans
                 Hotel, New Orleans",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "viii + 227",
  year =         "1983",
  ISBN =         "0-8186-0010-1",
  ISBN-13 =      "978-0-8186-0010-4",
  LCCN =         "QA 76.9 A73 I2 1983",
  bibdate =      "Wed Sep 07 23:43:15 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}


bibtype: proceedings
filename: fparith.bib
label: IEEE:1983:PSC
publisher: pub-IEEE
address: pub-IEEE:adr
pages: xi + 221
year: 1983
LCCN: QA 76.9 C62 S95 1983
bibdate: Fri Sep 02 00:35:28 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.02 00:35:28 ???
note: IEEE catalog number 83CH1892-9. IEEE Computer Society order number 476.
URL: http://www.acsel-lab.com/arithmetic/arith6/papers/
keywords: ARITH-6
acknowledgement: ack-nhfb
key: IEEE SCA6 '83
rawnote: IEEE catalog number 83CH1892-9. IEEE Computer Society order number 476.
booktitle:
Proceedings: 6th Symposium on Computer Arithmetic, June 20--22, 1983, Aarhus University, AA rhus, Denmark

title:
Proceedings: 6th Symposium on Computer Arithmetic, June 20--22, 1983, Aarhus University, AA rhus, Denmark

ISBN:
0-8186-4476-1 (paperback), 0-8186-8476-3 (hardcover), 0-8186-6476-2 (microfiche), 0-8186-0034-9 (hardcover) OR 0818644761 (paperback), 0818684763 (hardcover), 0818664762 (microfiche), 0818600349 (hardcover)

ISBN13:
978-0-8186-4476-4 (paperback), 978-0-8186-8476-0 (hardcover), 978-0-8186-6476-2 (microfiche), 978-0-8186-0034-0 (hardcover) OR 9780818644764 (paperback), 9780818684760 (hardcover), 9780818664762 (microfiche), 9780818600340 (hardcover)

rawbooktitle:
Proceedings: 6th Symposium on Computer Arithmetic, June 20--22, 1983, Aarhus University, {\AA}rhus, Denmark

rawtitle:
Proceedings: 6th Symposium on Computer Arithmetic, June 20--22, 1983, Aarhus University, {\AA}rhus, Denmark

entry:
@Proceedings{IEEE:1983:PSC,
  key =          "IEEE SCA6 '83",
  booktitle =    "Proceedings: 6th Symposium on Computer Arithmetic,
                 June 20--22, 1983, Aarhus University, {\AA}rhus,
                 Denmark",
  title =        "Proceedings: 6th Symposium on Computer Arithmetic,
                 June 20--22, 1983, Aarhus University, {\AA}rhus,
                 Denmark",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xi + 221",
  year =         "1983",
  ISBN =         "0-8186-4476-1 (paperback), 0-8186-8476-3 (hardcover),
                 0-8186-6476-2 (microfiche), 0-8186-0034-9 (hardcover)",
  ISBN-13 =      "978-0-8186-4476-4 (paperback), 978-0-8186-8476-0
                 (hardcover), 978-0-8186-6476-2 (microfiche),
                 978-0-8186-0034-0 (hardcover)",
  LCCN =         "QA 76.9 C62 S95 1983",
  bibdate =      "Fri Sep 02 00:35:28 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "IEEE catalog number 83CH1892-9. IEEE Computer Society
                 order number 476.",
  URL =          "http://www.acsel-lab.com/arithmetic/arith6/papers/",
  acknowledgement = ack-nhfb,
  keywords =     "ARITH-6",
}


bibtype: proceedings
filename: fparith.bib
label: Kulisch:1983:NAS
editor: Ulrich Kulisch and Willard L. Miranker and Gerd Bohlender
volume: 7
publisher: pub-ACADEMIC
address: pub-ACADEMIC:adr
pages: xv + 384
year: 1983
ISBN: 0-12-428660-7, 1-4832-7204-4 OR 0124286607, 1483272044
ISBN13: 978-0-12-428660-3, 978-1-4832-7204-7 OR 9780124286603, 9781483272047
LCCN: QA297 .N49 1983; QA297 .S847 1982
bibdate: Mon Jan 08 10:57:28 1996
bibsource: fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1996.01.08 10:57:28 ???
series: Notes and Reports in Computer Science and Applied Mathematics
acknowledgement: ack-nhfb
raweditor: Ulrich Kulisch and Willard L. Miranker and Gerd Bohlender
booktitle:
A New Approach to Scientific Computation: Proceedings of the Symposium on a New Approach to Scientific Computation (1982: IBM Thomas J. Watson Research Center)

title:
A New Approach to Scientific Computation: Proceedings of the Symposium on a New Approach to Scientific Computation (1982: IBM Thomas J. Watson Research Center)

subject:
Numerical analysis; Data processing; Algebra; Computer arithmetic; Electronic books; Analyse numerique; Informatique; Algebre; Arithmetique interne des ordinateurs; Data processing; Computer arithmetic

TOC:
Front Cover A New Approach to Scientific Computation Copyright Page Dedication Table of Contents Contributors Preface Acknowledgments 1. A New Arithmetic For Scientific Computation 1. Introduction 2. The Spaces of Numerical Computations 3. Traditional Definition of Computer Arithmetic: The Vertical Method 4. The New Definition of Computer Arithmetic: The Horizontal Method 5. Computer Arithmetic and Programming Languages 6. Realization and Applications References 2. Computer Demonstration Packages For Standard Problems of Numerical Mathematics Language Extension Pascal-SC Computing Inclusions Old and New Precise Dot Product Linear Systems Inversion of a Matrix Eigenproblems Rounding Error and Cancellation Evaluation of a Polynomial Zero of a Polynomial Polynomial Package Arithmetic Expressions Systems of Non-Linear Equations Differential Equations 3. Solving Algebraic Problems With High Accuracy Introduction 1. Computer Arithmetic 2. Linear Systems 3. Over- and Underdetermined Linear Systems 4. Linear Systems With Band Matrices 5. Sparse Linear Systems 6. Matrix Inversion 7. Non-Linear Systems 8. The Algebraic Eigenvalue Problem 9. Real and Complex Zeros of Polynomials 10. Linear, Quadratic and Convex Programming 11. Arithmetic Expressions Conclusions References 4. Evaluation of Arithmetic Expression Swith Maximum Accuracy Introduction 1. Evaluation of Polynomials 2. Evaluation of Arbitrary Arithmetic Expressions 3. Numerical Results References 5. Solving Function Space Problems With Guaranteed Close Bounds 1. Introduction 2. Mathematical Preliminaries 3. Practical Use of the Fixed Point Theorems 4. Functional Arithmetic and Roundings 5. Algorithmic Execution of Iterations 6. Applications to Differential and Integral Equations 7. Some Examples References 6. Ultra-Arithmetic: the Digital Computer Set In Function Space 1. Introduction 2. A Review of Ultra-Arithmetic 3. Applications of Ultra-Arithmetic 4. The Arithmetic of Intervals of Polynomials References 7. A Fortran Extension For Scientific Computation 1. Motivation 2. Notation of the Language Extension 3. Syntax and Semantics of the Extension References 8. An Introduction to Matrix Pascal: A Pascal Extension For Scientific Computation a. Data Types b. Expressions C. Procedures, Functions, Operators D. Universal Operator Concept E. Expressions With Maximum Accuracy F. Standard Functions References 9. Realization of An Optimal Computer Arithmetic 1. Introduction Mathematical Foundations 2. Organization of the Arithmetic 3. Implementation of the Elementary Operations 4. Operations In the Higher Spaces 5. Realization On a Micro Computer References 10. Features of a Hardware Implementation of An Optimal Arithmetic 1. Introduction 2. Implementation of Scalar Products

rawbooktitle:
A New Approach to Scientific Computation: Proceedings of the {Symposium on a New Approach to Scientific Computation (1982: IBM Thomas J. Watson Research Center)}

rawtitle:
A New Approach to Scientific Computation: Proceedings of the {Symposium on a New Approach to Scientific Computation (1982: IBM Thomas J. Watson Research Center)}

rawTOC:
Front Cover \\ A New Approach to Scientific Computation \\ Copyright Page \\ Dedication \\ Table of Contents \\ Contributors \\ Preface \\ Acknowledgments \\ 1. A New Arithmetic For Scientific Computation \\ 1. Introduction \\ 2. The Spaces of Numerical Computations \\ 3. Traditional Definition of Computer Arithmetic: The Vertical Method \\ 4. The New Definition of Computer Arithmetic: The Horizontal Method \\ 5. Computer Arithmetic and Programming Languages \\ 6. Realization and Applications \\ References \\ 2. Computer Demonstration Packages For Standard Problems of Numerical Mathematics \\ Language Extension \\ Pascal-SC Computing Inclusions \\ Old and New \\ Precise Dot Product \\ Linear Systems \\ Inversion of a Matrix \\ Eigenproblems \\ Rounding Error and Cancellation \\ Evaluation of a Polynomial \\ Zero of a Polynomial \\ Polynomial Package \\ Arithmetic Expressions \\ Systems of Non-Linear Equations \\ Differential Equations \\ 3. Solving Algebraic Problems With High Accuracy \\ Introduction \\ 1. Computer Arithmetic \\ 2. Linear Systems \\ 3. Over- and Underdetermined Linear Systems \\ 4. Linear Systems With Band Matrices \\ 5. Sparse Linear Systems \\ 6. Matrix Inversion \\ 7. Non-Linear Systems \\ 8. The Algebraic Eigenvalue Problem \\ 9. Real and Complex Zeros of Polynomials \\ 10. Linear, Quadratic and Convex Programming \\ 11. Arithmetic Expressions \\ Conclusions \\ References \\ 4. Evaluation of Arithmetic Expression Swith Maximum Accuracy \\ Introduction \\ 1. Evaluation of Polynomials \\ 2. Evaluation of Arbitrary Arithmetic Expressions \\ 3. Numerical Results \\ References \\ 5. Solving Function Space Problems With Guaranteed Close Bounds \\ 1. Introduction \\ 2. Mathematical Preliminaries \\ 3. Practical Use of the Fixed Point Theorems \\ 4. Functional Arithmetic and Roundings \\ 5. Algorithmic Execution of Iterations \\ 6. Applications to Differential and Integral Equations \\ 7. Some Examples \\ References \\ 6. Ultra-Arithmetic: the Digital Computer Set In Function Space \\ 1. Introduction \\ 2. A Review of Ultra-Arithmetic \\ 3. Applications of Ultra-Arithmetic \\ 4. The Arithmetic of Intervals of Polynomials \\ References \\ 7. A Fortran Extension For Scientific Computation \\ 1. Motivation \\ 2. Notation of the Language Extension \\ 3. Syntax and Semantics of the Extension \\ References \\ 8. An Introduction to Matrix Pascal: A Pascal Extension For Scientific Computation \\ a. Data Types \\ b. Expressions \\ C. Procedures, Functions, Operators \\ D. Universal Operator Concept \\ E. Expressions With Maximum Accuracy \\ F. Standard Functions \\ References \\ 9. Realization of An Optimal Computer Arithmetic \\ 1. Introduction \\ Mathematical Foundations \\ 2. Organization of the Arithmetic \\ 3. Implementation of the Elementary Operations \\ 4. Operations In the Higher Spaces \\ 5. Realization On a Micro Computer \\ References \\ 10. Features of a Hardware Implementation of An Optimal Arithmetic \\ 1. Introduction \\ 2. Implementation of Scalar Products

entry:
@Proceedings{Kulisch:1983:NAS,
  editor =       "Ulrich Kulisch and Willard L. Miranker and Gerd
                 Bohlender",
  booktitle =    "A New Approach to Scientific Computation: Proceedings
                 of the {Symposium on a New Approach to Scientific
                 Computation (1982: IBM Thomas J. Watson Research
                 Center)}",
  title =        "A New Approach to Scientific Computation: Proceedings
                 of the {Symposium on a New Approach to Scientific
                 Computation (1982: IBM Thomas J. Watson Research
                 Center)}",
  volume =       "7",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xv + 384",
  year =         "1983",
  ISBN =         "0-12-428660-7, 1-4832-7204-4",
  ISBN-13 =      "978-0-12-428660-3, 978-1-4832-7204-7",
  LCCN =         "QA297 .N49 1983; QA297 .S847 1982",
  bibdate =      "Mon Jan 08 10:57:28 1996",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       "Notes and Reports in Computer Science and Applied
                 Mathematics",
  acknowledgement = ack-nhfb,
  subject =      "Numerical analysis; Data processing; Algebra; Computer
                 arithmetic; Electronic books; Analyse num{\'e}rique;
                 Informatique; Alg{\'e}bre; Arithm{\'e}tique interne des
                 ordinateurs; Data processing; Computer arithmetic",
  tableofcontents = "Front Cover \\
                 A New Approach to Scientific Computation \\
                 Copyright Page \\
                 Dedication \\
                 Table of Contents \\
                 Contributors \\
                 Preface \\
                 Acknowledgments \\
                 1. A New Arithmetic For Scientific Computation \\
                 1. Introduction \\
                 2. The Spaces of Numerical Computations \\
                 3. Traditional Definition of Computer Arithmetic: The
                 Vertical Method \\
                 4. The New Definition of Computer Arithmetic: The
                 Horizontal Method \\
                 5. Computer Arithmetic and Programming Languages \\
                 6. Realization and Applications \\
                 References \\
                 2. Computer Demonstration Packages For Standard
                 Problems of Numerical Mathematics \\
                 Language Extension \\
                 Pascal-SC Computing Inclusions \\
                 Old and New \\
                 Precise Dot Product \\
                 Linear Systems \\
                 Inversion of a Matrix \\
                 Eigenproblems \\
                 Rounding Error and Cancellation \\
                 Evaluation of a Polynomial \\
                 Zero of a Polynomial \\
                 Polynomial Package \\
                 Arithmetic Expressions \\
                 Systems of Non-Linear Equations \\
                 Differential Equations \\
                 3. Solving Algebraic Problems With High Accuracy \\
                 Introduction \\
                 1. Computer Arithmetic \\
                 2. Linear Systems \\
                 3. Over- and Underdetermined Linear Systems \\
                 4. Linear Systems With Band Matrices \\
                 5. Sparse Linear Systems \\
                 6. Matrix Inversion \\
                 7. Non-Linear Systems \\
                 8. The Algebraic Eigenvalue Problem \\
                 9. Real and Complex Zeros of Polynomials \\
                 10. Linear, Quadratic and Convex Programming \\
                 11. Arithmetic Expressions \\
                 Conclusions \\
                 References \\
                 4. Evaluation of Arithmetic Expression Swith Maximum
                 Accuracy \\
                 Introduction \\
                 1. Evaluation of Polynomials \\
                 2. Evaluation of Arbitrary Arithmetic Expressions \\
                 3. Numerical Results \\
                 References \\
                 5. Solving Function Space Problems With Guaranteed
                 Close Bounds \\
                 1. Introduction \\
                 2. Mathematical Preliminaries \\
                 3. Practical Use of the Fixed Point Theorems \\
                 4. Functional Arithmetic and Roundings \\
                 5. Algorithmic Execution of Iterations \\
                 6. Applications to Differential and Integral Equations
                 \\
                 7. Some Examples \\
                 References \\
                 6. Ultra-Arithmetic: the Digital Computer Set In
                 Function Space \\
                 1. Introduction \\
                 2. A Review of Ultra-Arithmetic \\
                 3. Applications of Ultra-Arithmetic \\
                 4. The Arithmetic of Intervals of Polynomials \\
                 References \\
                 7. A Fortran Extension For Scientific Computation \\
                 1. Motivation \\
                 2. Notation of the Language Extension \\
                 3. Syntax and Semantics of the Extension \\
                 References \\
                 8. An Introduction to Matrix Pascal: A Pascal Extension
                 For Scientific Computation \\
                 a. Data Types \\
                 b. Expressions \\
                 C. Procedures, Functions, Operators \\
                 D. Universal Operator Concept \\
                 E. Expressions With Maximum Accuracy \\
                 F. Standard Functions \\
                 References \\
                 9. Realization of An Optimal Computer Arithmetic \\
                 1. Introduction \\
                 Mathematical Foundations \\
                 2. Organization of the Arithmetic \\
                 3. Implementation of the Elementary Operations \\
                 4. Operations In the Higher Spaces \\
                 5. Realization On a Micro Computer \\
                 References \\
                 10. Features of a Hardware Implementation of An Optimal
                 Arithmetic \\
                 1. Introduction \\
                 2. Implementation of Scalar Products",
}


bibtype: proceedings
filename: fparith.bib
label: Mini-Micro:1983:MMN
publisher: Electronic Conventions, Inc.
address: Los Angeles, CA, USA
pages: various
year: 1983
LCCN: QA 76.5 M565 1983
bibdate: Fri Dec 08 13:03:05 1995
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1995.12.08 13:03:05 ???
acknowledgement: ack-nj
key: Mini-Micro Northeast '83
booktitle:
Mini / Micro Northeast / 83 Conference Record: Sessions Presented at Mini / Micro Northeast-83, New York, New York, April 18--20, 1983, in conjunction with Electro / 83

title:
Mini / Micro Northeast / 83 Conference Record: Sessions Presented at Mini / Micro Northeast-83, New York, New York, April 18--20, 1983, in conjunction with Electro / 83

rawbooktitle:
Mini\slash Micro Northeast\slash 83 Conference Record: Sessions Presented at Mini\slash Micro Northeast-83, New York, New York, April 18--20, 1983, in conjunction with Electro\slash 83

rawtitle:
Mini\slash Micro Northeast\slash 83 Conference Record: Sessions Presented at Mini\slash Micro Northeast-83, New York, New York, April 18--20, 1983, in conjunction with Electro\slash 83

entry:
@Proceedings{Mini-Micro:1983:MMN,
  key =          "Mini-Micro Northeast '83",
  booktitle =    "Mini\slash Micro Northeast\slash 83 Conference Record:
                 Sessions Presented at Mini\slash Micro Northeast-83,
                 New York, New York, April 18--20, 1983, in conjunction
                 with Electro\slash 83",
  title =        "Mini\slash Micro Northeast\slash 83 Conference Record:
                 Sessions Presented at Mini\slash Micro Northeast-83,
                 New York, New York, April 18--20, 1983, in conjunction
                 with Electro\slash 83",
  publisher =    "Electronic Conventions, Inc.",
  address =      "Los Angeles, CA, USA",
  pages =        "various",
  year =         "1983",
  LCCN =         "QA 76.5 M565 1983",
  bibdate =      "Fri Dec 08 13:03:05 1995",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
  xxISBN =       "(none)",
}


bibtype: proceedings
filename: fparith.bib
label: Mini-Micro:1983:MMW
publisher: Electronic Conventions, Inc.
address: Los Angeles, CA, USA
pages: various
year: 1983
LCCN: TK7885.A1 M56 1983
bibdate: Fri Dec 08 13:03:06 1995
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1995.12.08 13:03:06 ???
acknowledgement: ack-nj
key: Mini-Micro West '83
booktitle:
Mini / Micro West '83: Conference Record: Sessions Presented at Mini / Micro West-83, San Francisco, California, November 8--11, 1983

title:
Mini / Micro West '83: Conference Record: Sessions Presented at Mini / Micro West-83, San Francisco, California, November 8--11, 1983

rawbooktitle:
Mini\slash Micro West '83: Conference Record: Sessions Presented at Mini\slash Micro West-83, San Francisco, California, November 8--11, 1983

rawtitle:
Mini\slash Micro West '83: Conference Record: Sessions Presented at Mini\slash Micro West-83, San Francisco, California, November 8--11, 1983

entry:
@Proceedings{Mini-Micro:1983:MMW,
  key =          "Mini-Micro West '83",
  booktitle =    "Mini\slash Micro West '83: Conference Record: Sessions
                 Presented at Mini\slash Micro West-83, San Francisco,
                 California, November 8--11, 1983",
  title =        "Mini\slash Micro West '83: Conference Record: Sessions
                 Presented at Mini\slash Micro West-83, San Francisco,
                 California, November 8--11, 1983",
  publisher =    "Electronic Conventions, Inc.",
  address =      "Los Angeles, CA, USA",
  pages =        "various",
  year =         "1983",
  LCCN =         "TK7885.A1 M56 1983",
  bibdate =      "Fri Dec 08 13:03:06 1995",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
  xxISBN =       "(none)",
}


bibtype: proceedings
filename: fparith.bib
label: Ranocchia:1983:RFA
editor: Diane D. Ranocchia
booktitle: 1983 Rochester FORTH Applications Conference, June 7--11, 1983
title: 1983 Rochester FORTH Applications Conference, June 7--11, 1983
publisher: Institute for Applied FORTH Research
address: Rochester, NY, USA
pages: 301
year: 1983
ISBN: 0-914593-00-5 OR 0914593005
ISBN13: 978-0-914593-00-3 OR 9780914593003
LCCN: QA76.73.F24 R59 1983
bibdate: Thu Sep 01 22:47:49 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.01 22:47:49 ???
acknowledgement: ack-nhfb
rawbooktitle: 1983 Rochester {FORTH} Applications Conference, June 7--11, 1983
raweditor: Diane D. Ranocchia
rawtitle: 1983 Rochester {FORTH} Applications Conference, June 7--11, 1983
entry:
@Proceedings{Ranocchia:1983:RFA,
  editor =       "Diane D. Ranocchia",
  booktitle =    "1983 Rochester {FORTH} Applications Conference, June
                 7--11, 1983",
  title =        "1983 Rochester {FORTH} Applications Conference, June
                 7--11, 1983",
  publisher =    "Institute for Applied FORTH Research",
  address =      "Rochester, NY, USA",
  pages =        "301",
  year =         "1983",
  ISBN =         "0-914593-00-5",
  ISBN-13 =      "978-0-914593-00-3",
  LCCN =         "QA76.73.F24 R59 1983",
  bibdate =      "Thu Sep 01 22:47:49 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: Anonymous:1984:TFA
editor: Anonymous
volume: 84-1
publisher: ARO Rep. 84-1, U. S. Army Res. Office
address: Research Triangle Park, NC, USA
pages: xxii + 925
month: feb
monthnumber: 2
year: 1984
bibdate: Sat Nov 29 11:40:45 2003
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2003.11.29 11:40:45 ???
series: ARO report
acknowledgement: ack-nhfb
raweditor: Anonymous
booktitle:
Transactions of the First Army Conference on Applied Mathematics and Computing (Washington, DC, 1983)

title:
Transactions of the First Army Conference on Applied Mathematics and Computing (Washington, DC, 1983)

rawbooktitle:
Transactions of the First Army Conference on Applied Mathematics and Computing (Washington, {DC, 1983)}

rawtitle:
Transactions of the First Army Conference on Applied Mathematics and Computing (Washington, {DC}, 1983)

entry:
@Proceedings{Anonymous:1984:TFA,
  editor =       "Anonymous",
  booktitle =    "Transactions of the First Army Conference on Applied
                 Mathematics and Computing (Washington, {DC, 1983)}",
  title =        "Transactions of the First Army Conference on Applied
                 Mathematics and Computing (Washington, {DC}, 1983)",
  volume =       "84-1",
  publisher =    "ARO Rep. 84-1, U. S. Army Res. Office",
  address =      "Research Triangle Park, NC, USA",
  pages =        "xxii + 925",
  month =        feb,
  year =         "1984",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Sat Nov 29 11:40:45 2003",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       "ARO report",
  acknowledgement = ack-nhfb,
}


bibtype: book
filename: fparith.bib
label: Cowell:1984:SDM
editor: Wayne R. Cowell
booktitle: Sources and Development of Mathematical Software
title: Sources and Development of Mathematical Software
publisher: pub-PH
address: pub-PH:adr
pages: xii + 404
year: 1984
ISBN: 0-13-823501-5 OR 0138235015
ISBN13: 978-0-13-823501-7 OR 9780138235017
LCCN: QA76.95 .S68 1984
bibdate: Tue Dec 14 22:44:45 1993
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1993.12.14 22:44:45 ???
series: Prentice-Hall Series in Computational Mathematics, Cleve Moler, Advisor
acknowledgement: ack-nhfb
rawbooktitle: Sources and Development of Mathematical Software
raweditor: Wayne R. Cowell
rawtitle: Sources and Development of Mathematical Software
entry:
@Book{Cowell:1984:SDM,
  editor =       "Wayne R. Cowell",
  booktitle =    "Sources and Development of Mathematical Software",
  title =        "Sources and Development of Mathematical Software",
  publisher =    pub-PH,
  address =      pub-PH:adr,
  pages =        "xii + 404",
  year =         "1984",
  ISBN =         "0-13-823501-5",
  ISBN-13 =      "978-0-13-823501-7",
  LCCN =         "QA76.95 .S68 1984",
  bibdate =      "Tue Dec 14 22:44:45 1993",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       "Prentice-Hall Series in Computational Mathematics,
                 Cleve Moler, Advisor",
  acknowledgement = ack-nhfb,
}


bibtype: book
filename: fparith.bib
label: Evanczuk:1984:MSS
editor: Stephen Evanczuk
booktitle: Microprocessor systems: software and hardware architecture
title: Microprocessor systems: software and hardware architecture
publisher: pub-MCGRAW-HILL
address: pub-MCGRAW-HILL:adr
pages: xii + 404
year: 1984
ISBN: 0-07-019756-3, 0-07-606876-5 (paperback) OR 0070197563, 0076068765 (paperback)
ISBN13: 978-0-07-019756-5, 978-0-07-606876-0 (paperback) OR 9780070197565, 9780076068760 (paperback)
LCCN: QA76.5 .M521955 1984
bibdate: Sat Nov 29 11:14:42 2003
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2003.11.29 11:14:42 ???
acknowledgement: ack-nhfb
bookpages: vii + 389
rawbooktitle: Microprocessor systems: software and hardware architecture
raweditor: Stephen Evanczuk
rawtitle: Microprocessor systems: software and hardware architecture
entry:
@Book{Evanczuk:1984:MSS,
  editor =       "Stephen Evanczuk",
  booktitle =    "Microprocessor systems: software and hardware
                 architecture",
  title =        "Microprocessor systems: software and hardware
                 architecture",
  publisher =    pub-MCGRAW-HILL,
  address =      pub-MCGRAW-HILL:adr,
  bookpages =    "vii + 389",
  year =         "1984",
  ISBN =         "0-07-019756-3, 0-07-606876-5 (paperback)",
  ISBN-13 =      "978-0-07-019756-5, 978-0-07-606876-0 (paperback)",
  LCCN =         "QA76.5 .M521955 1984",
  bibdate =      "Sat Nov 29 11:14:42 2003",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: Feilmeier:1984:PCP
editor: M. Feilmeier and G. Joubert and U. Schendel
publisher: pub-NORTH-HOLLAND
address: pub-NORTH-HOLLAND:adr
pages: xiii + 566
year: 1984
ISBN: 0-444-87528-X OR 044487528X
ISBN13: 978-0-444-87528-0 OR 9780444875280
LCCN: QA76.6.I547 1983
bibdate: Mon Apr 14 17:58:44 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1997.04.14 17:58:44 ???
acknowledgement: ack-nhfb
raweditor: M. Feilmeier and G. Joubert and U. Schendel
booktitle:
Parallel computing 83: proceedings of the International Conference on Parallel Computing, held at the Freie Universitat Berlin, 26--28 September 1983

title:
Parallel computing 83: proceedings of the International Conference on Parallel Computing, held at the Freie Universitat Berlin, 26--28 September 1983

rawbooktitle:
Parallel computing 83: proceedings of the International Conference on Parallel Computing, held at the Freie Universit{\"a}t Berlin, 26--28 September 1983

rawtitle:
Parallel computing 83: proceedings of the International Conference on Parallel Computing, held at the Freie Universit{\"a}t Berlin, 26--28 September 1983

entry:
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  editor =       "M. Feilmeier and G. Joubert and U. Schendel",
  booktitle =    "Parallel computing 83: proceedings of the
                 International Conference on Parallel Computing, held at
                 the Freie Universit{\"a}t Berlin, 26--28 September
                 1983",
  title =        "Parallel computing 83: proceedings of the
                 International Conference on Parallel Computing, held at
                 the Freie Universit{\"a}t Berlin, 26--28 September
                 1983",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "xiii + 566",
  year =         "1984",
  ISBN =         "0-444-87528-X",
  ISBN-13 =      "978-0-444-87528-0",
  LCCN =         "QA76.6.I547 1983",
  bibdate =      "Mon Apr 14 17:58:44 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: Ford:1984:TML
editor: B. Ford and J. C. Rault and F. Thomasset
publisher: pub-ENH
address: pub-ENH:adr
pages: xvi + 458
year: 1984
ISBN: 0-444-87570-0 OR 0444875700
ISBN13: 978-0-444-87570-9 OR 9780444875709
LCCN: Q183.9 .I53 1983
bibdate: Sat Nov 29 07:20:57 2003
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 2003.11.29 07:20:57 ???
acknowledgement: ack-nhfb
raweditor: B. Ford and J. C. Rault and F. Thomasset
booktitle:
Tools, methods and languages for scientific and engineering computation. Proc. of international conference (Paris, France, May 17--19, 1983)

title:
Tools, methods and languages for scientific and engineering computation. Proc. of international conference (Paris, France, May 17--19, 1983)

rawbooktitle:
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  booktitle =    "Tools, methods and languages for scientific and
                 engineering computation. Proc. of international
                 conference (Paris, France, May 17--19, 1983)",
  title =        "Tools, methods and languages for scientific and
                 engineering computation. Proc. of international
                 conference (Paris, France, May 17--19, 1983)",
  publisher =    pub-ENH,
  address =      pub-ENH:adr,
  pages =        "xvi + 458",
  year =         "1984",
  ISBN =         "0-444-87570-0",
  ISBN-13 =      "978-0-444-87570-9",
  LCCN =         "Q183.9 .I53 1983",
  bibdate =      "Sat Nov 29 07:20:57 2003",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}


bibtype: book
filename: fparith.bib
label: Golub:1984:SNA
editor: Gene H. Golub
booktitle: Studies in Numerical Analysis
title: Studies in Numerical Analysis
volume: 24
publisher: pub-MATH-ASSOC-AMER
address: pub-MATH-ASSOC-AMER:adr
pages: x + 415
year: 1984
ISBN: 0-88385-126-1 (v. 1), 0-88385-100-8 (set) OR 0883851261 (v. 1), 0883851008 (set)
ISBN13: 978-0-88385-126-5 (v. 1), 978-0-88385-100-5 (set) OR 9780883851265 (v. 1), 9780883851005 (set)
LCCN: QA297 .S83 1984
MRclass: 65-06
MRnumber: 88i:65007
bibdate: Sat Oct 22 17:16:36 1994
bibtimestamp: 1994.10.22 17:16:36 ???
series: Studies in mathematics
keywords: numerical analysis
acknowledgement: ack-nhfb
authordates: Gene Howard Golub (February 29, 1932--November 16, 2007)
rawbooktitle: Studies in Numerical Analysis
raweditor: Gene H. Golub
rawtitle: Studies in Numerical Analysis
bibsource:
https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib; https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib; https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

TOC:
Gene H. Golub / Preface James H. Wilkinson / The perfidious polynomial Jorge J. More and D. C. Sorensen / Newton's method Iain S. Duff / Research directions in sparse matrix computations Walter Gautschi / Questions of numerical conditions related to polynomials Paul Concus, Gene H. Golub, and Dianne P. O'Leary / A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations J. Barkley Rosser / Solving differential equations on a hand held programmable calculator V. Pereyra / Finite difference solution of boundary value problems in ordinary differential equations Dennis C. Jespersen / Multigrid methods for partial differential equations Paul N. Swarztrauber / Fast Poisson solvers Peter Henrici / Poisson's equation in a hypercube: discrete Fourier methods, eigenfunction expansions, Pade approximation to eigenvalues

rawTOC:
Gene H. Golub / Preface \\ James H. Wilkinson / The perfidious polynomial \\ Jorge J. Mor{\'e} and D. C. Sorensen / Newton's method \\ Iain S. Duff / Research directions in sparse matrix computations \\ Walter Gautschi / Questions of numerical conditions related to polynomials \\ Paul Concus, Gene H. Golub, and Dianne P. O'Leary / A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations \\ J. Barkley Rosser / Solving differential equations on a hand held programmable calculator \\ V. Pereyra / Finite difference solution of boundary value problems in ordinary differential equations \\ Dennis C. Jespersen / Multigrid methods for partial differential equations \\ Paul N. Swarztrauber / Fast Poisson solvers \\ Peter Henrici / Poisson's equation in a hypercube: discrete Fourier methods, eigenfunction expansions, Pad{\'e} approximation to eigenvalues

entry:
@Book{Golub:1984:SNA,
  editor =       "Gene H. Golub",
  booktitle =    "Studies in Numerical Analysis",
  title =        "Studies in Numerical Analysis",
  volume =       "24",
  publisher =    pub-MATH-ASSOC-AMER,
  address =      pub-MATH-ASSOC-AMER:adr,
  pages =        "x + 415",
  year =         "1984",
  ISBN =         "0-88385-126-1 (v. 1), 0-88385-100-8 (set)",
  ISBN-13 =      "978-0-88385-126-5 (v. 1), 978-0-88385-100-5 (set)",
  LCCN =         "QA297 .S83 1984",
  MRclass =      "65-06",
  MRnumber =     "88i:65007",
  bibdate =      "Sat Oct 22 17:16:36 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       "Studies in mathematics",
  acknowledgement = ack-nhfb,
  author-dates = "Gene Howard Golub (February 29, 1932--November 16,
                 2007)",
  keywords =     "numerical analysis",
  tableofcontents = "Gene H. Golub / Preface \\
                 James H. Wilkinson / The perfidious polynomial \\
                 Jorge J. Mor{\'e} and D. C. Sorensen / Newton's method
                 \\
                 Iain S. Duff / Research directions in sparse matrix
                 computations \\
                 Walter Gautschi / Questions of numerical conditions
                 related to polynomials \\
                 Paul Concus, Gene H. Golub, and Dianne P. O'Leary / A
                 generalized conjugate gradient method for the numerical
                 solution of elliptic partial differential equations \\
                 J. Barkley Rosser / Solving differential equations on a
                 hand held programmable calculator \\
                 V. Pereyra / Finite difference solution of boundary
                 value problems in ordinary differential equations \\
                 Dennis C. Jespersen / Multigrid methods for partial
                 differential equations \\
                 Paul N. Swarztrauber / Fast Poisson solvers \\
                 Peter Henrici / Poisson's equation in a hypercube:
                 discrete Fourier methods, eigenfunction expansions,
                 Pad{\'e} approximation to eigenvalues",
}


bibtype: proceedings
filename: fparith.bib
label: Griffiths:1984:NAP
editor: D. F. Griffiths
volume: 1066
publisher: pub-SV
address: pub-SV:adr
pages: various
year: 1984
CODEN: LNMAA2
DOI: https://doi.org/10.1007/BFb0099514
ISBN: 3-540-13344-5 (print), 3-540-38881-8 (e-book) OR 3540133445 (print), 3540388818 (ebook)
ISSN: 0075-8434 (print), 1617-9692 (electronic) OR 00758434 (print), 16179692 (electronic)
ISSNL: 0075-8434 OR 00758434
LCCN: QA3.L28 no.1066, QA 297 D915n 1983
bibdate: Fri Dec 08 13:03:21 1995
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1995.12.08 13:03:21 ???
series: Lecture notes in mathematics
URL: http://link.springer.com/chapter/10.1007/BFb0099525/
fjournal: Lecture Notes in Mathematics
acknowledgement: ack-nhfb
bookDOI: https://doi.org/10.1007/BFb0099514
bookURL: http://www.springerlink.com/content/978-3-540-38881-4
journalURL: http://link.springer.com/bookseries/304
raweditor: D. F. Griffiths
booktitle:
Numerical analysis: Proceedings of the 10th Dundee biennial conference held at the University of Dundee, Scotland, June 28--July 1, 1983

title:
Numerical analysis: Proceedings of the 10th Dundee biennial conference held at the University of Dundee, Scotland, June 28--July 1, 1983

ISBN13:
978-3-540-13344-5 (print), 978-3-540-38881-4 (e-book) OR 9783540133445 (print), 9783540388814 (ebook)

TOC:
Front Matter / / i--xi Splines in interactive computer graphics / Richard H. Bartels / 1--29 Some methods for separating stiff components in initial value problems / AA . Bjorck / 30--43 Approximation order from smooth bivariate PP functions / C. de Boor / 44--49 The numerical solution of integral equations with weakly singular kernels / Hermann Brunner / 50--71 A trust-region approach to linearly constrained optimization / David M. Gay / 72--105 Multigrid methods for problems with a small parameter in the highest derivative / P. W. Hemker / 106--121 Nonconvex minimization calculations and the conjugate gradient method / M. J. D. Powell / 122--141 Particle approximation of linear hyperbolic equations of the first order / P.-A. Raviart / 142--158 Global error estimation for stiff ODEs / Lawrence F. Shampine / 159--168 Numerical techniques for nonlinear multi-parameter problems / A. Spence, A. Jepson / 169--185 Sequential defect correction for high-accuracy floating-point algorithms / Hans J. Stetter / 186--202 Numerical experiments with partially separable optimization problems / A. Griewank, Ph. L. Toint / 203--220 The numerical solution of total lp approximation problems / G. A. Watson / 221--238 An implicit diffusive numerical procedure for a slightly compressible miscible displacement problem in porous media / Thom C. Potempa, Mary Fanett Wheeler / 239--263 Singularities in three-dimensional elliptic problems and their treatment with finite element methods / J. R. Whiteman / 264--275 Back Matter / / 277--278

rawbooktitle:
{Numerical analysis: Proceedings of the 10th Dundee biennial conference held at the University of Dundee, Scotland, June 28--July 1, 1983}

rawtitle:
{Numerical analysis: Proceedings of the 10th Dundee biennial conference held at the University of Dundee, Scotland, June 28--July 1, 1983}

rawTOC:
Front Matter / / i--xi \\ Splines in interactive computer graphics / Richard H. Bartels / 1--29 \\ Some methods for separating stiff components in initial value problems / {\AA}. Bj{\"o}rck / 30--43 \\ Approximation order from smooth bivariate PP functions / C. de Boor / 44--49 \\ The numerical solution of integral equations with weakly singular kernels / Hermann Brunner / 50--71 \\ A trust-region approach to linearly constrained optimization / David M. Gay / 72--105 \\ Multigrid methods for problems with a small parameter in the highest derivative / P. W. Hemker / 106--121 \\ Nonconvex minimization calculations and the conjugate gradient method / M. J. D. Powell / 122--141 \\ Particle approximation of linear hyperbolic equations of the first order / P.-A. Raviart / 142--158 \\ Global error estimation for stiff ODEs / Lawrence F. Shampine / 159--168 \\ Numerical techniques for nonlinear multi-parameter problems / A. Spence, A. Jepson / 169--185 \\ Sequential defect correction for high-accuracy floating-point algorithms / Hans J. Stetter / 186--202 \\ Numerical experiments with partially separable optimization problems / A. Griewank, Ph. L. Toint / 203--220 \\ The numerical solution of total lp approximation problems / G. A. Watson / 221--238 \\ An implicit diffusive numerical procedure for a slightly compressible miscible displacement problem in porous media / Thom C. Potempa, Mary Fanett Wheeler / 239--263 \\ Singularities in three-dimensional elliptic problems and their treatment with finite element methods / J. R. Whiteman / 264--275 Back Matter / / 277--278

entry:
@Proceedings{Griffiths:1984:NAP,
  editor =       "D. F. Griffiths",
  booktitle =    "{Numerical analysis: Proceedings of the 10th Dundee
                 biennial conference held at the University of Dundee,
                 Scotland, June 28--July 1, 1983}",
  title =        "{Numerical analysis: Proceedings of the 10th Dundee
                 biennial conference held at the University of Dundee,
                 Scotland, June 28--July 1, 1983}",
  volume =       "1066",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "various",
  year =         "1984",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0099514",
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  ISBN-13 =      "978-3-540-13344-5 (print), 978-3-540-38881-4
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  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  LCCN =         "QA3.L28 no.1066, QA 297 D915n 1983",
  bibdate =      "Fri Dec 08 13:03:21 1995",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       "Lecture notes in mathematics",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0099525/",
  acknowledgement = ack-nhfb,
  book-DOI =     "https://doi.org/10.1007/BFb0099514",
  book-URL =     "http://www.springerlink.com/content/978-3-540-38881-4",
  fjournal =     "Lecture Notes in Mathematics",
  journal-URL =  "http://link.springer.com/bookseries/304",
  tableofcontents = "Front Matter / / i--xi \\
                 Splines in interactive computer graphics / Richard H.
                 Bartels / 1--29 \\
                 Some methods for separating stiff components in initial
                 value problems / {\AA}. Bj{\"o}rck / 30--43 \\
                 Approximation order from smooth bivariate PP functions
                 / C. de Boor / 44--49 \\
                 The numerical solution of integral equations with
                 weakly singular kernels / Hermann Brunner / 50--71 \\
                 A trust-region approach to linearly constrained
                 optimization / David M. Gay / 72--105 \\
                 Multigrid methods for problems with a small parameter
                 in the highest derivative / P. W. Hemker / 106--121 \\
                 Nonconvex minimization calculations and the conjugate
                 gradient method / M. J. D. Powell / 122--141 \\
                 Particle approximation of linear hyperbolic equations
                 of the first order / P.-A. Raviart / 142--158 \\
                 Global error estimation for stiff ODEs / Lawrence F.
                 Shampine / 159--168 \\
                 Numerical techniques for nonlinear multi-parameter
                 problems / A. Spence, A. Jepson / 169--185 \\
                 Sequential defect correction for high-accuracy
                 floating-point algorithms / Hans J. Stetter / 186--202
                 \\
                 Numerical experiments with partially separable
                 optimization problems / A. Griewank, Ph. L. Toint /
                 203--220 \\
                 The numerical solution of total lp approximation
                 problems / G. A. Watson / 221--238 \\
                 An implicit diffusive numerical procedure for a
                 slightly compressible miscible displacement problem in
                 porous media / Thom C. Potempa, Mary Fanett Wheeler /
                 239--263 \\
                 Singularities in three-dimensional elliptic problems
                 and their treatment with finite element methods / J. R.
                 Whiteman / 264--275 Back Matter / / 277--278",
}


bibtype: proceedings
filename: fparith.bib
label: IEEE:1984:CPI
publisher: pub-IEEE
address: pub-IEEE:adr
pages: 562
year: 1984
LCCN: TK 7801 I117 1984
bibdate: Thu Sep 15 18:50:54 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.15 18:50:54 ???
acknowledgement: ack-nhfb
key: IEEE Southeastcon '84
booktitle:
Conference proceedings: IEEE Southeastcon '84, the Galt House, Louisville, Kentucky, April 8--11, 1984

title:
Conference proceedings: IEEE Southeastcon '84, the Galt House, Louisville, Kentucky, April 8--11, 1984

rawbooktitle:
Conference proceedings: {IEEE} Southeastcon '84, the Galt House, Louisville, Kentucky, April 8--11, 1984

rawtitle:
Conference proceedings: {IEEE} Southeastcon '84, the Galt House, Louisville, Kentucky, April 8--11, 1984

entry:
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  key =          "IEEE Southeastcon '84",
  booktitle =    "Conference proceedings: {IEEE} Southeastcon '84, the
                 Galt House, Louisville, Kentucky, April 8--11, 1984",
  title =        "Conference proceedings: {IEEE} Southeastcon '84, the
                 Galt House, Louisville, Kentucky, April 8--11, 1984",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "562",
  year =         "1984",
  LCCN =         "TK 7801 I117 1984",
  bibdate =      "Thu Sep 15 18:50:54 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  xxISBN =       "(none)",
}


bibtype: proceedings
filename: fparith.bib
label: IEEE:1984:ILD
editor: IEEE
publisher: pub-IEEE
address: pub-IEEE:adr
pages: xxvi + 522
year: 1984
CODEN: PCICDQ
LCCN: QA75.5 .C58 1984, TK7885.A1 C53 1984
bibdate: Wed Sep 29 09:24:59 1999
bibtimestamp: 1999.09.29 09:24:59 ???
note: IEEE catalog no. 84CH2017-2.
acknowledgement: ack-nhfb
key: IEEE COMPCON '84
raweditor: {IEEE}
rawnote: IEEE catalog no. 84CH2017-2.
booktitle:
Intellectual Leverage the Driving Technologies: Digest of Papers, Compcon Spring 84, February 27--March 1, Twenty-eighth IEEE Computer Society International Conference, Meridien Hotel, San Francisco, California

title:
Intellectual Leverage the Driving Technologies: Digest of Papers, Compcon Spring 84, February 27--March 1, Twenty-eighth IEEE Computer Society International Conference, Meridien Hotel, San Francisco, California

ISBN:
0-8186-0525-1 (paperback), 0-8186-8525-5 (hardcover) OR 0818605251 (paperback), 0818685255 (hardcover)

ISBN13:
978-0-8186-0525-3 (paperback), 978-0-8186-8525-5 (hardcover) OR 9780818605253 (paperback), 9780818685255 (hardcover)

bibsource:
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rawbooktitle:
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{Intellectual Leverage the Driving Technologies: Digest of Papers, Compcon Spring 84, February 27--March 1, Twenty-eighth IEEE Computer Society International Conference, Meridien Hotel, San Francisco, California}

entry:
@Proceedings{IEEE:1984:ILD,
  editor =       "{IEEE}",
  key =          "IEEE COMPCON '84",
  booktitle =    "{Intellectual Leverage the Driving Technologies:
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  title =        "{Intellectual Leverage the Driving Technologies:
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  publisher =    pub-IEEE,
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  pages =        "xxvi + 522",
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  LCCN =         "QA75.5 .C58 1984, TK7885.A1 C53 1984",
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  note =         "IEEE catalog no. 84CH2017-2.",
  acknowledgement = ack-nhfb # "\slash " # ack-nj,
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bibtype: proceedings
filename: fparith.bib
label: Kirk:1984:CRE
editor: Donald E. Kirk
publisher: pub-IEEE
address: pub-IEEE:adr
pages: x + 456
year: 1984
LCCN: TK 7801 A83 1984
bibdate: Thu Sep 08 13:41:13 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.08 13:41:13 ???
acknowledgement: ack-nhfb
raweditor: Donald E. Kirk
booktitle:
Conference Record: Eighteenth Asilomar Conference on Circuits, Systems and Computers: Papers Presented November 5--7, 1984, Pacific Grove, California

title:
Conference Record: Eighteenth Asilomar Conference on Circuits, Systems and Computers: Papers Presented November 5--7, 1984, Pacific Grove, California

ISBN:
0-8186-0673-8 (paperback), 0-8186-8673-1 (hard), 0-8186-4673-X (microfiche) OR 0818606738 (paperback), 0818686731 (hard), 081864673X (microfiche)

ISBN13:
978-0-8186-0673-1 (paperback), 978-0-8186-8673-3 (hard), 978-0-8186-4673-7 (microfiche) OR 9780818606731 (paperback), 9780818686733 (hard), 9780818646737 (microfiche)

rawbooktitle:
Conference Record: Eighteenth Asilomar Conference on Circuits, Systems and Computers: Papers Presented November 5--7, 1984, Pacific Grove, California

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  booktitle =    "Conference Record: Eighteenth Asilomar Conference on
                 Circuits, Systems and Computers: Papers Presented
                 November 5--7, 1984, Pacific Grove, California",
  title =        "Conference Record: Eighteenth Asilomar Conference on
                 Circuits, Systems and Computers: Papers Presented
                 November 5--7, 1984, Pacific Grove, California",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "x + 456",
  year =         "1984",
  ISBN =         "0-8186-0673-8 (paperback), 0-8186-8673-1 (hard),
                 0-8186-4673-X (microfiche)",
  ISBN-13 =      "978-0-8186-0673-1 (paperback), 978-0-8186-8673-3
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  LCCN =         "TK 7801 A83 1984",
  bibdate =      "Thu Sep 08 13:41:13 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
}


bibtype: proceedings
filename: fparith.bib
label: Mini-Micro:1984:MMS
publisher: Electronic Conventions Management
address: Los Angeles, CA, USA
pages: various
year: 1984
LCCN: TK 7888.3 M566 1984
bibdate: Fri Dec 08 13:03:08 1995
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1995.12.08 13:03:08 ???
acknowledgement: ack-nj
key: Mini-Micro Southwest '84
booktitle:
Mini / Micro Southwest / 84 Conference Record: Sessions Presented at Mini / Micro Southwest-84, Dallas, Texas, September 11--13, 1984, in conjunction with Midcon / 84

title:
Mini / Micro Southwest / 84 Conference Record: Sessions Presented at Mini / Micro Southwest-84, Dallas, Texas, September 11--13, 1984, in conjunction with Midcon / 84

rawbooktitle:
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rawtitle:
Mini\slash Micro Southwest\slash 84 Conference Record: Sessions Presented at Mini\slash Micro Southwest-84, Dallas, Texas, September 11--13, 1984, in conjunction with Midcon\slash 84

entry:
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  key =          "Mini-Micro Southwest '84",
  booktitle =    "Mini\slash Micro Southwest\slash 84 Conference Record:
                 Sessions Presented at Mini\slash Micro Southwest-84,
                 Dallas, Texas, September 11--13, 1984, in conjunction
                 with Midcon\slash 84",
  title =        "Mini\slash Micro Southwest\slash 84 Conference Record:
                 Sessions Presented at Mini\slash Micro Southwest-84,
                 Dallas, Texas, September 11--13, 1984, in conjunction
                 with Midcon\slash 84",
  publisher =    "Electronic Conventions Management",
  address =      "Los Angeles, CA, USA",
  pages =        "various",
  year =         "1984",
  LCCN =         "TK 7888.3 M566 1984",
  bibdate =      "Fri Dec 08 13:03:08 1995",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
  xxISBN =       "(none)",
}


bibtype: proceedings
filename: fparith.bib
label: NCC:1984:ACP
publisher: pub-AFIPS
address: pub-AFIPS:adr
pages: xi + 734
year: 1984
ISBN: 0-88283-043-0 OR 0882830430
ISBN13: 978-0-88283-043-8 OR 9780882830438
bibdate: Fri Sep 16 10:57:24 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.16 10:57:24 ???
acknowledgement: ack-nj
key: AFIPS NCC '84
booktitle:
AFIPS Conference Proceedings of the 1984 National Computer Conference, Las Vegas, NV, USA, 9--12 July 1984

title:
AFIPS Conference Proceedings of the 1984 National Computer Conference, Las Vegas, NV, USA, 9--12 July 1984

rawbooktitle:
{AFIPS} Conference Proceedings of the 1984 National Computer Conference, Las Vegas, {NV}, {USA}, 9--12 July 1984

rawtitle:
{AFIPS} Conference Proceedings of the 1984 National Computer Conference, Las Vegas, {NV}, {USA}, 9--12 July 1984

entry:
@Proceedings{NCC:1984:ACP,
  key =          "AFIPS NCC '84",
  booktitle =    "{AFIPS} Conference Proceedings of the 1984 National
                 Computer Conference, Las Vegas, {NV}, {USA}, 9--12 July
                 1984",
  title =        "{AFIPS} Conference Proceedings of the 1984 National
                 Computer Conference, Las Vegas, {NV}, {USA}, 9--12 July
                 1984",
  publisher =    pub-AFIPS,
  address =      pub-AFIPS:adr,
  pages =        "xi + 734",
  year =         "1984",
  ISBN =         "0-88283-043-0",
  ISBN-13 =      "978-0-88283-043-8",
  LCCN =         "????",
  bibdate =      "Fri Sep 16 10:57:24 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
}


bibtype: proceedings
filename: fparith.bib
label: Buchberger:1985:PEE
editor: Bruno Buchberger and Bob F. Caviness
booktitle: Proceedings: EUROCAL '85, European Conference on Computer Algebra, Linz, Austria, April 1--3, 1985
title: Proceedings: EUROCAL '85, European Conference on Computer Algebra, Linz, Austria, April 1--3, 1985
volume: 203, 204
publisher: pub-SV
address: pub-SV:adr
pages: various
year: 1985
CODEN: LNCSD9
ISBN: 0-387-15983-5 (v. 1), 0-387-15984-3 (v. 2) OR 0387159835 (v. 1), 0387159843 (v. 2)
ISBN13: 978-0-387-15983-6 (v. 1), 978-0-387-15984-3 (v. 2) OR 9780387159836 (v. 1), 9780387159843 (v. 2)
ISSN: 0302-9743 (print), 1611-3349 (electronic) OR 03029743 (print), 16113349 (electronic)
LCCN: QA155.7.E4 E85 1985
bibdate: Fri Apr 12 07:14:49 1996
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1996.04.12 07:14:49 ???
series: ser-LNCS
keywords: algebra --- data processing --- congresses
acknowledgement: ack-nhfb
raweditor: Bruno Buchberger and Bob F. Caviness
note:
Vol. 2 edited by: Bob F. Caviness. ``Jointly organized by the ACM Special Interest Group on Symbolic and Algebraic Manipulation (SIGSAM) and by the Symbolic and Algebraic Manipulation Group in Europe (SAME)''--Vol. 2, pref. Contents: v. 1. Invited lectures --- v. 2. Research contributions.

rawbooktitle:
Proceedings: {EUROCAL} '85, European Conference on Computer Algebra, Linz, Austria, April 1--3, 1985

rawnote:
Vol. 2 edited by: Bob F. Caviness. ``Jointly organized by the ACM Special Interest Group on Symbolic and Algebraic Manipulation (SIGSAM) and by the Symbolic and Algebraic Manipulation Group in Europe (SAME)''--Vol. 2, pref. Contents: v. 1. Invited lectures --- v. 2. Research contributions.

rawtitle:
Proceedings: {EUROCAL} '85, European Conference on Computer Algebra, Linz, Austria, April 1--3, 1985

entry:
@Proceedings{Buchberger:1985:PEE,
  editor =       "Bruno Buchberger and Bob F. Caviness",
  booktitle =    "Proceedings: {EUROCAL} '85, European Conference on
                 Computer Algebra, Linz, Austria, April 1--3, 1985",
  title =        "Proceedings: {EUROCAL} '85, European Conference on
                 Computer Algebra, Linz, Austria, April 1--3, 1985",
  volume =       "203, 204",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "various",
  year =         "1985",
  CODEN =        "LNCSD9",
  ISBN =         "0-387-15983-5 (v. 1), 0-387-15984-3 (v. 2)",
  ISBN-13 =      "978-0-387-15983-6 (v. 1), 978-0-387-15984-3 (v. 2)",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  LCCN =         "QA155.7.E4 E85 1985",
  bibdate =      "Fri Apr 12 07:14:49 1996",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "Vol. 2 edited by: Bob F. Caviness. ``Jointly organized
                 by the ACM Special Interest Group on Symbolic and
                 Algebraic Manipulation (SIGSAM) and by the Symbolic and
                 Algebraic Manipulation Group in Europe (SAME)''--Vol.
                 2, pref. Contents: v. 1. Invited lectures --- v. 2.
                 Research contributions.",
  series =       ser-LNCS,
  acknowledgement = ack-nhfb,
  keywords =     "algebra --- data processing --- congresses",
}


bibtype: proceedings
filename: fparith.bib
label: Hwang:1985:PSC
editor: Kai Hwang
publisher: pub-IEEE
address: pub-IEEE:adr
pages: xi + 343
year: 1985
LCCN: QA76.9.C62 S95 1985
bibdate: Thu Sep 08 00:11:41 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.08 00:11:41 ???
note: IEEE catalog number 85CH2146-9. IEEE Computer Society order number 632.
keywords: ARITH-7
acknowledgement: ack-nj
raweditor: Kai Hwang
rawnote: IEEE catalog number 85CH2146-9. IEEE Computer Society order number 632.
booktitle:
Proceedings: 7th Symposium on Computer Arithmetic, June 4--6, 1985, University of Illinois, Urbana, Illinois

title:
Proceedings: 7th Symposium on Computer Arithmetic, June 4--6, 1985, University of Illinois, Urbana, Illinois

ISBN:
0-8186-0632-0 (paperback), 0-8186-8632-4 (hard), 0-8186-4632-2 (microfiche) OR 0818606320 (paperback), 0818686324 (hard), 0818646322 (microfiche)

ISBN13:
978-0-8186-0632-8 (paperback), 978-0-8186-8632-0 (hard), 978-0-8186-4632-4 (microfiche) OR 9780818606328 (paperback), 9780818686320 (hard), 9780818646324 (microfiche)

rawbooktitle:
Proceedings: 7th Symposium on Computer Arithmetic, June 4--6, 1985, University of Illinois, Urbana, Illinois

entry:
@Proceedings{Hwang:1985:PSC,
  editor =       "Kai Hwang",
  booktitle =    "Proceedings: 7th Symposium on Computer Arithmetic,
                 June 4--6, 1985, University of Illinois, Urbana,
                 Illinois",
  title =        "Proceedings: 7th Symposium on Computer Arithmetic,
                 June 4--6, 1985, University of Illinois, Urbana,
                 Illinois",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xi + 343",
  year =         "1985",
  ISBN =         "0-8186-0632-0 (paperback), 0-8186-8632-4 (hard),
                 0-8186-4632-2 (microfiche)",
  ISBN-13 =      "978-0-8186-0632-8 (paperback), 978-0-8186-8632-0
                 (hard), 978-0-8186-4632-4 (microfiche)",
  LCCN =         "QA76.9.C62 S95 1985",
  bibdate =      "Thu Sep 08 00:11:41 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "IEEE catalog number 85CH2146-9. IEEE Computer Society
                 order number 632.",
  acknowledgement = ack-nj,
  keywords =     "ARITH-7",
}


bibtype: proceedings
filename: fparith.bib
label: IEEE:1985:ERC
booktitle: 1985 IEEE Region 5 Conference, March 13--15, 1985, Holiday Inn Civic Center, Lubbock, Texas
title: 1985 IEEE Region 5 Conference, March 13--15, 1985, Holiday Inn Civic Center, Lubbock, Texas
publisher: pub-IEEE
address: pub-IEEE:adr
pages: vi + 71
year: 1985
LCCN: TK 7801 N56 1985
bibdate: Thu Sep 15 18:50:54 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/fparith.bib
bibtimestamp: 1994.09.15 18:50:54 ???
acknowledgement: ack-nhfb
key: IEEE Region 5 '85
rawbooktitle: 1985 {IEEE} Region 5 Conference, March 13--15, 1985, Holiday Inn Civic Center, Lubbock, Texas
rawtitle: 1985 {IEEE} Region 5 Conference, March 13--15, 1985, Holiday Inn Civic Center, Lubbock, Texas
entry:
@Proceedings{IEEE:1985:ERC,
  key =          "IEEE Region 5 '85",
  booktitle =    "1985 {IEEE} Region 5 Conference, March 13--15, 1985,
                 Holiday Inn Civic Center, Lubbock, Texas",
  title =        "1985 {IEEE} Region 5 Conference, March 13--15, 1985,
                 Holiday Inn Civic Center, Lubbock, Texas",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "vi + 71",
  year =         "1985",
  LCCN =         "TK 7801 N56 1985",
  bibdate =      "Thu Sep 15 18:50:54 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  xxISBN =       "(none)",
}


