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%%% date = "30 April 2008",
%%% time = "11:26:59 MDT",
%%% filename = "kahan-william.bib",
%%% address = "University of Utah
%%% Department of Mathematics, 110 LCB
%%% 155 S 1400 E RM 233
%%% Salt Lake City, UT 84112-0090
%%% USA",
%%% telephone = "+1 801 581 5254",
%%% FAX = "+1 801 581 4148",
%%% URL = "http://www.math.utah.edu/~beebe",
%%% checksum = "30597 5810 22105 234966",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "bibliography; BibTeX; William M. Kahan",
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%%% supported = "yes",
%%% docstring = "This is a bibliography of the publications
%%% of William (Velvel) M. Kahan, plus a few that
%%% refer to them in their titles, or cross
%%% reference them. Informal class notes are
%%% included as well, because they are sometimes
%%% cited by other authors.
%%%
%%% W. M. Kahan is the recipient of several
%%% awards, including the 1990 ACM Turing Award
%%% and the 1997 SIAM John von Neumann Prize. He
%%% is the guiding force behind IEEE 754
%%% floating-point arithmetic, which has been
%%% implemented on billions of computer chips,
%%% and which has contributed substantially to
%%% the much-needed improvement of the
%%% floating-point environment on digital
%%% computers. His personal Web site at
%%%
%%% http://www.cs.berkeley.edu/~wkahan/
%%%
%%% contains many published and unpublished
%%% documents and software.
%%%
%%% At version 1.19, the year coverage looked
%%% like this:
%%%
%%% 1955 ( 1) 1973 ( 4) 1991 ( 8)
%%% 1956 ( 0) 1974 ( 1) 1992 ( 7)
%%% 1957 ( 0) 1975 ( 3) 1993 ( 3)
%%% 1958 ( 1) 1976 ( 2) 1994 ( 6)
%%% 1959 ( 0) 1977 ( 3) 1995 ( 3)
%%% 1960 ( 0) 1978 ( 1) 1996 ( 9)
%%% 1961 ( 0) 1979 ( 5) 1997 ( 9)
%%% 1962 ( 0) 1980 ( 5) 1998 ( 25)
%%% 1963 ( 4) 1981 ( 3) 1999 ( 35)
%%% 1964 ( 1) 1982 ( 6) 2000 ( 23)
%%% 1965 ( 6) 1983 ( 7) 2001 ( 8)
%%% 1966 ( 5) 1984 ( 1) 2002 ( 22)
%%% 1967 ( 2) 1985 ( 4) 2003 ( 2)
%%% 1968 ( 3) 1986 ( 5) 2004 ( 16)
%%% 1969 ( 5) 1987 ( 7) 2005 ( 6)
%%% 1970 ( 3) 1988 ( 3) 2006 ( 1)
%%% 1971 ( 3) 1989 ( 4) 2007 ( 2)
%%% 1972 ( 4) 1990 ( 8) 2008 ( 1)
%%%
%%% Article: 57
%%% Book: 2
%%% InCollection: 4
%%% InProceedings: 18
%%% Manual: 1
%%% MastersThesis: 1
%%% Misc: 125
%%% PhdThesis: 1
%%% Proceedings: 15
%%% TechReport: 39
%%% Unpublished: 34
%%%
%%% Total entries: 297
%%%
%%% This bibliography has been prepared from the
%%% extensive BibNet Project and TeX User Group
%%% bibliography archives, from the IEEE Explore
%%% database, from the ACM Portal database, from
%%% several different university and government
%%% library catalogs, and from assorted Web sites
%%% and technical articles found by Web searches.
%%%
%%% BibTeX citation tags are uniformly chosen
%%% as name:year:abbrev, where name is the
%%% family name of the first author or editor,
%%% year is a 4-digit number, and abbrev is a
%%% 3-letter condensation of important title
%%% words. Citation tags were automatically
%%% generated by software developed for the
%%% BibNet Project.
%%%
%%% In this bibliography, entries are sorted
%%% first by ascending year, and within each
%%% year, alphabetically by author or editor,
%%% and then, if necessary, by the 3-letter
%%% abbreviation at the end of the BibTeX
%%% citation tag, using the bibsort -byyear
%%% utility. Cross-referenced proceedings
%%% entries appear at the end, because of a
%%% restriction in the current BibTeX.
%%%
%%% The checksum field above contains a CRC-16
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%%% }
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@String{inst-UT-CS = "Department of Computer Science, University
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@String{inst-UT-CS:adr = "Knoxville, TN 37996, USA"}
%%% ====================================================================
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@String{j-CPE = "Concurrency: Prac\-tice and Experience"}
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@String{j-DDJ = "Dr. Dobb's Journal of Software Tools"}
@String{j-HEWLETT-PACKARD-J = "Hew\-lett-Pack\-ard Journal: technical
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Hew\-lett-Pack\-ard Company"}
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@String{j-IEEE-MICRO = "IEEE Micro"}
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Machine Intel."}
@String{j-IEEE-TRANS-PATT-ANAL-MACH-INTEL = "IEEE Transactions on Pattern
Analysis and Machine Intelligence"}
@String{j-INFO-PROC = "Journal of Information Processing (of
Japan??)"}
@String{j-J-COMPUT-PHYS = "Journal of computational physics"}
@String{j-J-CRYPTOLOGY = "Journal of Cryptology: the journal of the
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Research"}
@String{j-J-MATH-ANAL-APPL = "Journal of Mathematical Analysis and
Applications"}
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Society"}
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Applications"}
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Analysis"}
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@String{j-SIGNUM = "ACM SIGNUM Newsletter"}
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@String{j-TOMS = "ACM Transactions on Mathematical Software"}
@String{j-TOSEM = "ACM Transactions on Software Engineering
and Methodology"}
@String{j-Z-ANGE-MATH-MECH = "Zeitschrift f{\"u}r Angewandte Mathematik
und Mechanik"}
%%% ====================================================================
%%% Miscellaneous abbreviations:
@String{type-CSDTR = "Computer Science Dept. Technical Report"}
%%% ====================================================================
%%% Publisher abbreviations:
@String{pub-ACM = "ACM Press"}
@String{pub-ACM:adr = "New York, NY 10036, USA"}
@String{pub-AP = "Academic Press"}
@String{pub-AP:adr = "New York, NY, USA"}
@String{pub-ENH = "Elsevier North-Holland, Inc."}
@String{pub-ENH:adr = "New York, NY, USA"}
@String{pub-HRW = "Holt, Rinehart and Winston"}
@String{pub-HRW:adr = "New York"}
@String{pub-IEEE = "IEEE Computer Society Press"}
@String{pub-IEEE:adr = "1109 Spring Street, Suite 300, Silver
Spring, MD 20910, USA"}
@String{pub-LONGMAN-ST = "Longman Scientific and Technical"}
@String{pub-LONGMAN-ST:adr = "Harlow, Essex, UK"}
@String{pub-NH = "North-Hol{\-}land"}
@String{pub-NH:adr = "Amsterdam, The Netherlands"}
@String{pub-OXFORD = "Oxford University Press"}
@String{pub-OXFORD:adr = "Walton Street, Oxford OX2 6DP, UK"}
@String{pub-SV = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg,
Germany~/ London, UK~/ etc."}
%%% ====================================================================
%%% Bibliography entries, sorted by year and by citation key:
@MastersThesis{Kahan:1955:SMS,
author = "William Morton Kahan",
title = "A survey of methods of solving {Poisson}'s equation
suitable for electronic computers",
type = "{M.A.}",
school = "University of Toronto",
address = "Toronto, ON, Canada",
pages = "ii + 44 + 8",
year = "1955",
bibdate = "Mon Apr 25 05:21:08 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
keywords = "Electronic calculating-machines; harmonic functions",
}
@PhdThesis{Kahan:1958:GSM,
author = "William Morton Kahan",
title = "{Gauss-Seidel} methods of solving large systems of
linear equations",
type = "{Ph.D.} Thesis",
school = "University of Toronto",
address = "Toronto, ON, Canada",
year = "1958",
bibdate = "Mon Apr 25 07:26:34 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Davis:1963:REP,
author = "Chandler Davis",
title = "The Rotation of Eigenvectors By a Perturbation. {I}",
journal = j-J-MATH-ANAL-APPL,
volume = "6",
pages = "159--173",
year = "1963",
CODEN = "JMANAK",
ISSN = "0022-247X",
MRclass = "47.48",
MRnumber = "MR0149309 (26 \#6799)",
MRreviewer = "J. Rovnyak",
bibdate = "Mon Apr 25 05:36:25 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "See \cite{Davis:1965:REP,Davis:1970:REP}.",
acknowledgement = ack-nhfb,
}
@Article{Kahan:1963:ACC,
author = "W. Kahan and I. Farkas",
title = "{Algorithm 167}: {Calculation} of Confluent Divided
Differences",
journal = j-CACM,
volume = "6",
number = "4",
pages = "164--165",
month = apr,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782",
bibdate = "Sat Nov 26 10:57:46 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/cacm1960.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Kahan:1963:ANIa,
author = "W. Kahan and I. Farkas",
title = "{Algorithm 169}: {Newton} Interpolation with Forward
Divided Differences",
journal = j-CACM,
volume = "6",
number = "4",
pages = "165--165",
month = apr,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782",
bibdate = "Sat Nov 26 10:58:57 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/cacm1960.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Kahan:1963:ANIb,
author = "W. Kahan and I. Farkas",
title = "{Algorithm 168}: {Newton} Interpolation with Backward
Divided Differences",
journal = j-CACM,
volume = "6",
number = "4",
pages = "165--165",
month = apr,
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782",
bibdate = "Sat Nov 26 10:59:17 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/cacm1960.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Kahan:1964:FPM,
author = "W. Kahan and J. J. Leppik",
title = "A {FORTRAN} Post-Mortem Procedure",
journal = j-CACM,
volume = "7",
number = "1",
pages = "15--15",
month = jan,
year = "1964",
CODEN = "CACMA2",
ISSN = "0001-0782",
bibdate = "Sat Nov 26 11:00:17 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Davis:1965:REP,
author = "Chandler Davis",
title = "The Rotation of Eigenvectors By a Perturbation. {II}",
journal = j-J-MATH-ANAL-APPL,
volume = "11",
pages = "20--27",
year = "1965",
CODEN = "JMANAK",
ISSN = "0022-247X",
MRclass = "47.48",
MRnumber = "MR0180852 (31 \#5082)",
MRreviewer = "J. Rovnyak",
bibdate = "Mon Apr 25 05:36:25 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "See \cite{Davis:1963:REP,Davis:1970:REP}.",
acknowledgement = ack-nhfb,
}
@Article{Golub:1965:CSV,
author = "G. H. Golub and W. Kahan",
title = "Calculating the Singular Values and Pseudo-Inverse of
a Matrix",
journal = j-SIAM-J-NUM-ANALYSIS-B,
volume = "2",
number = "2",
pages = "205--224",
month = "????",
year = "1965",
ISSN = "0887-459X",
MRclass = "65.35",
MRnumber = "MR0183105 (32 \#587)",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
keywords = "nla, svd, ginv",
mynote = "I have not seen.",
}
@InCollection{Kahan:1965:FPO,
author = "W. Kahan",
booktitle = "Programmer's Reference Manual",
title = "The Floating-Point Over\slash Underflow Trap Routine
{{\tt FPTRP}}",
publisher = "Institute of Computer Science, University of Toronto",
address = "Toronto, Ontario, Canada",
year = "1965",
LCCN = "????",
bibdate = "Wed Feb 14 19:11:11 2007",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Section 4.1.",
acknowledgement = ack-nhfb,
}
@Article{Kahan:1965:PFR,
author = "W. Kahan",
title = "Pracniques: {Further} Remarks on Reducing Truncation
Errors",
journal = j-CACM,
volume = "8",
number = "1",
pages = "40--40",
month = jan,
year = "1965",
CODEN = "CACMA2",
ISSN = "0001-0782",
bibdate = "Sat Nov 26 11:01:01 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/bit.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/cacm1960.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nj,
keywords = "floating-point arithmetic; truncation errors",
remark = "Gives summation error estimate formula `s = fl(a + b);
error = (a - s) + b', also discovered independently by
\cite{Moller:1965:QDP}. Extends Gill's earlier
fixed-point result \cite{Gill:1951:PSS}. See
improvement \cite{Ozawa:1993:SAE}.",
}
@Article{Moller:1965:NQD,
author = "Ole M{\o}ller",
title = "Note on Quasi Double-Precision",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "5",
number = "4",
pages = "251--255",
year = "1965",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835",
bibdate = "Sat Nov 14 09:14:57 1998",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "See \cite{Moller:1965:QDP}.",
acknowledgement = ack-nj # " and " # ack-nhfb,
}
@Article{Moller:1965:QDP,
author = "Ole M{\o}ller",
title = "Quasi Double-Precision in Floating Point Addition",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "5",
number = "1",
pages = "37--50",
year = "1965",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835",
MRclass = "65.80",
MRnumber = "31\#5359",
bibdate = "Sat Nov 14 09:14:57 1998",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/bit.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "See also \cite{Moller:1965:NQD}.",
acknowledgement = ack-nj # " and " # ack-nhfb,
annote = "Gives summation error estimate formula `s = fl(a + b);
error = (a - s) + b', also discovered independently by
\cite{Kahan:1965:FRR}. Extends Gill's earlier
fixed-point result \cite{Gill:1951:PSS}.",
remark = "Gives summation error estimate formula `s = fl(a + b);
error = (a - s) + b', also discovered independently by
\cite{Kahan:1965:FRR}. Extends Gill's earlier
fixed-point result \cite{Gill:1951:PSS}.",
}
@TechReport{Kahan:1966:AES,
author = "W. Kahan",
title = "Accurate Eigenvalues of a Symmetric Tri-Diagonal
Matrix",
type = "Technical Report",
number = "CS41",
institution = inst-STANFORD-CS,
address = inst-STANFORD-CS:adr,
pages = "????",
day = "22",
month = jul,
year = "1966",
bibdate = "Mon Apr 25 18:24:02 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Revised June 1968",
acknowledgement = ack-nhfb,
}
@Article{Kahan:1966:CEB,
author = "W. M. Kahan",
title = "A Computable Error-Bound for Systems of Ordinary
Differential Equations (Abstract)",
journal = j-SIAM-REVIEW,
volume = "8",
pages = "568--569",
year = "1966",
CODEN = "SIREAD",
ISSN = "0036-1445",
bibdate = "Fri Jan 12 11:37:56 1996",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-jr,
}
@Article{Kahan:1966:NLA,
author = "W. Kahan",
title = "Numerical Linear Algebra",
journal = j-CAN-MATH-BULL,
volume = "9",
pages = "757--801",
year = "1966",
CODEN = "CMBUA3",
ISSN = "0008-4395",
bibdate = "Mon Apr 25 18:24:02 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Misc{Kahan:1966:ISS,
author = "W. Kahan",
title = "{7094 II} System Support for Numerical Analysis",
howpublished = "SHARE Secretary Distribution 159, C4537",
pages = "1--54",
day = "12",
month = dec,
year = "1966",
bibdate = "Wed Nov 07 08:39:33 2007",
acknowledgement = ack-nhfb,
remark = "Warning: various online documents cite this with years
1965, 1966, and 1968. The correct year appears to be
1966, based on citations in other documents to other
papers in volume C4537, including one from 1967 (which
therefore eliminates 1968).",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
}
@TechReport{Kahan:1966:WND,
author = "W. Kahan",
title = "When to neglect off-diagonal elements of symmetric
tri-diagonal matrices",
type = "Technical report",
number = "CS42",
institution = inst-BERKELEY-CS,
address = inst-BERKELEY-CS:adr,
day = "25",
month = jul,
year = "1966",
bibdate = "Mon Apr 25 05:31:38 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
URL = "ftp://reports.stanford.edu/pub/cstr/reports/cs/tr/66/42/CS-TR-66-42.pdf",
acknowledgement = ack-nhfb,
}
@Unpublished{Kahan:196x:ACM,
author = "W. M. Kahan",
title = "Note on bounds for generating {Bessel} functions by
recurrence",
institution = inst-BERKELEY-CS,
address = inst-BERKELEY-CS:adr,
year = "196x",
bibdate = "Wed Apr 30 11:14:58 2008",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
remark = "Cited in reference 28 of Walter Gautschi, {\em
Computational Aspects of Three-Term Recurrence
Relations}, SIAM Review 9(1) 24--82 January (1967), and
reference 7 of F. W. J. Olver and D. J. Sookne, {\em
Note on Backward Recurrence Algorithms}, Mathematics of
Computation, 26(120) 941--947, October 1972. Web
searches do not find mention of this before 1967, so
the date, and contents, remain uncertain.",
}
@TechReport{Kahan:1967:ITC,
author = "W. Kahan",
title = "Inclusion Theorems for Clusters of Eigenvalues of
{Hermitian} Matrices",
type = "report",
institution = "Computer Science, University of Toronto",
address = "Toronto, Canada",
year = "1967",
bibdate = "Mon Apr 25 18:24:02 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Kahan:1967:LMC,
author = "W. Kahan",
title = "{Laguerre}'s Method and a Circle Which Contains at
Least One Zero of a Polynomial",
journal = j-SIAM-J-NUMER-ANAL,
volume = "4",
number = "3",
pages = "474--482",
month = sep,
year = "1967",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
MRclass = "65.50",
MRnumber = "MR0216743 (35 \#7572)",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
}
@Article{Kahan:1968:CEA,
author = "W. M. Kahan",
title = "Circumscribing an ellipsoid about the intersection of
two ellipsoids.",
journal = j-CAN-MATH-BULL,
volume = "11",
pages = "437--441",
year = "1968",
CODEN = "CMBUA3",
ISSN = "0008-4395",
MRclass = "15.58 (65.00)",
MRnumber = "MR0232788 (38 \#1111)",
MRreviewer = "W. C. Rheinboldt",
bibdate = "Fri Jan 12 11:37:56 1996",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-jr,
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math\'ematiques",
}
@Article{Kahan:1968:FAC,
author = "W. Kahan",
title = "Four aphorisms concerning floating point hardware
design",
journal = j-SIGNUM,
volume = "3",
number = "2",
pages = "??--??",
month = jul,
year = "1968",
CODEN = "SNEWD6",
ISSN = "0163-5778",
bibdate = "Mon Mar 5 17:26:27 MST 2007",
bibsource = "http://portal.acm.org/;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
articleno = "2",
}
@TechReport{Kahan:1968:MCI,
author = "W. M. Kahan",
title = "A More Complete Interval Arithmetic: Lecture Notes for
an {Engineering Summer Course in Numerical Analysis} at
the {University of Michigan}",
institution = "University of Michigan",
year = "1968",
bibdate = "Fri Jan 12 11:37:56 1996",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-jr,
}
@Article{Davis:1969:SNB,
author = "Chandler Davis and W. M. Kahan",
title = "Some new bounds on perturbation of subspaces",
journal = j-BULL-AMS,
volume = "75",
pages = "863--868",
year = "1969",
CODEN = "BAMOAD",
ISSN = "0002-9904",
MRclass = "47.48",
MRnumber = "MR0246155 (39 \#7460)",
MRreviewer = "A. McIntosh",
bibdate = "Mon Apr 25 18:24:02 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Kahan:1969:ICC,
author = "W. M. Kahan",
editor = "A. Morrell",
booktitle = "Proc. of IFIP Congress 1968, Vol. I",
title = "Invited Commentary (Concerning the Invited Paper of
{K. Nickel}: Error Bounds and Computer Arithmetic)",
publisher = "North-Holland Publ. Comp.",
address = "Amsterdam, New York, Oxford",
pages = "60--62",
year = "1969",
bibdate = "Fri Jan 12 11:37:56 1996",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-jr,
}
@InProceedings{Nickel:1969:EBC,
author = "K. Nickel",
editor = "A. J. H. Morrell",
booktitle = "Proc. of IFIP-Congress 1968, Vol. I",
title = "Error Bounds and Computer-Arithmetic",
publisher = "North-Holland Publ. Comp.",
address = "Amsterdam, New York, Oxford",
pages = "54--60",
year = "1969",
bibdate = "Fri Jan 12 11:37:56 1996",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Cf.: Kahan, W. M., Invited Commentary, Ibidem 60-62",
acknowledgement = ack-jr,
}
@TechReport{Nickel:1969:KBS,
author = "K. Nickel",
title = "{Das Kahan-Babuska'sche Summierungsverfahren In
Triplex-Algol 60}. ({German}) [{The}
{Kahan-Babu{\v{s}}ka} Summation Method in
{Triplex-Algol 60}]",
type = "Interner Bericht Des Inst. F. Informatik",
number = "69/3",
institution = "Universit{\"a}t Karlsruhe",
address = "Karlsruhe, Germany",
year = "1969",
bibdate = "Fri Jan 12 11:37:56 1996",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Published in \cite{Nickel:1970:KBS}.",
acknowledgement = ack-jr,
}
@InCollection{Parlett:1969:CPA,
author = "B. N. Parlett and W. Kahan",
booktitle = "Information Processing 68 (Proc. IFIP Congress,
Edinburgh, 1968), Vol. 1: Mathematics, Software",
title = "On the convergence of a practical {${\rm QR}$}
algorithm. ({With} discussion)",
publisher = "North-Holland",
address = "Amsterdam",
pages = "114--118",
year = "1969",
MRclass = "65.40",
MRnumber = "MR0255035 (40 \#8242)",
bibdate = "Mon Apr 25 18:24:02 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Davis:1970:REP,
author = "Chandler Davis and W. M. Kahan",
title = "The Rotation of Eigenvectors By a Perturbation.
{III}",
journal = j-SIAM-J-NUMER-ANAL,
volume = "7",
number = "1",
pages = "1--46",
month = mar,
year = "1970",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
MRclass = "47.48",
MRnumber = "MR0264450 (41 \#9044)",
MRreviewer = "C. A. Hall",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib
ftp://ftp.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "See \cite{Davis:1963:REP,Davis:1965:REP}.",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
}
@Unpublished{Kahan:1970:ACM,
author = "W. M. Kahan",
title = "Almost-Commuting Matrices are Near Commuting
Matrices",
institution = inst-BERKELEY-CS,
address = inst-BERKELEY-CS:adr,
day = "23",
month = jul,
year = "1970",
bibdate = "Mon Apr 25 18:24:02 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Manuscript",
acknowledgement = ack-nhfb,
}
@Article{Nickel:1970:KBS,
author = "K. Nickel",
title = "{Das Kahan-Babu{\v{s}}kasche Summierungsverfahren in
Trip\-lex-AL\-GOL 60}. ({German}) [{The
Kahan-Babu{\v{s}}ka} summation method in
{Trip\-lex-AL\-GOL 60}]",
journal = j-Z-ANGE-MATH-MECH,
volume = "50",
pages = "369--373",
year = "1970",
CODEN = "ZAMMAX",
ISSN = "0044-2267",
bibdate = "Tue Aug 28 06:12:04 2001",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Kahan:1971:P,
author = "W. Kahan",
title = "A Problem",
journal = j-SIGNUM,
volume = "6",
number = "3",
pages = "6--6",
month = nov,
year = "1971",
CODEN = "SNEWD6",
ISSN = "0163-5778",
bibdate = "Mon Dec 12 21:50:03 GMT 1994",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "See response \cite{Dorr:1973:REC}.",
acknowledgement = ack-nhfb,
}
@InProceedings{Kahan:1971:SEA,
author = "W. M. Kahan",
title = "A Survey of Error Analysis",
crossref = "Freiman:1971:PIC",
pages = "1214--1239",
year = "1971",
MRclass = "65G05",
MRnumber = "MR0458845 (56 \#17045)",
bibdate = "Tue Aug 28 05:24:53 2001",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
series = "Information Processing 71",
acknowledgement = ack-jr # " and " # ack-nhfb,
remark = "This paper contains the modified compensating
summation algorithm wherein `e = (temp - s) + y' is
replaced by `f = 0; if (sign(temp) == sign(y)) {f =
(0.46*s - s) + s} e = ((temp - f) - (s - f)) + y',
cited in e.g.,
\cite{Dalhquist:1974:NM,Higham:1993:AFP}.",
}
@InProceedings{Anderson:1972:HHI,
author = "Donald G. M. Anderson and Joseph Traub and W. Kahan",
title = "How to Help an Ill-Posed Problem Get Well",
crossref = "ACM:1972:PAA",
pages = "663--663",
year = "1972",
bibdate = "Mon Apr 25 14:54:19 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "The first annual George Forsythe Memorial Lecture,
presented by W. Kahan.",
acknowledgement = ack-nhfb,
}
@TechReport{Kahan:1972:CCC,
author = "W. Kahan",
title = "Conserving Confluence Curbs Ill-Condition",
type = "Technical Report",
number = "6",
institution = "Computer Science Department, University of
California",
address = "Berkeley",
pages = "????",
month = aug,
year = "1972",
bibdate = "Mon Apr 25 18:24:02 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Kahan:1972:MHK,
author = "W. Kahan",
title = "In memoriam: {Hirondo Kuki}: {Apr. 25, 1925--Dec. 28,
1971}",
journal = j-SIGNUM,
volume = "7",
number = "1",
pages = "8--10",
month = apr,
year = "1972",
CODEN = "SNEWD6",
ISSN = "0163-5778",
bibdate = "Tue Apr 12 07:49:58 MDT 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/signum.bib;
http://portal.acm.org/;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Dorr:1973:REC,
author = "Fred W. Dorr and Cleve B. Moler",
title = "Roundoff error on the {CDC 6600\slash 7600}
computers",
journal = j-SIGNUM,
volume = "8",
number = "2",
pages = "24--26",
month = apr,
year = "1973",
CODEN = "SNEWD6",
ISSN = "0163-5778",
bibdate = "Tue Apr 12 07:49:59 MDT 2005",
bibsource = "http://portal.acm.org/;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "See \cite{Kahan:1971:P} for the original problem.",
acknowledgement = ack-nhfb,
classcodes = "C5230 (Digital arithmetic methods)",
corpsource = "Univ. California, Los Alamos, NM, USA",
keywords = "arithmetic; CDC 6600/7600 computers; computer; digital
arithmetic; program; roundoff error",
treatment = "P Practical; X Experimental",
}
@Article{Kahan:1973:EMR,
author = "W. Kahan",
title = "Every {$n \times n$} Matrix {$Z$} with Real Spectrum
Satisfies {$\|Z-Z^*\| \le \|Z+Z^*\| (\log_2n+0.038)$}",
journal = j-PROC-AM-MATH-SOC,
volume = "39",
pages = "235--241",
year = "1973",
CODEN = "PAMYAR",
ISSN = "0002-9939",
MRclass = "15A60",
MRnumber = "MR0313278 (47 \#1833)",
MRreviewer = "David Carlson",
bibdate = "Mon Apr 25 18:24:02 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the American Mathematical Society",
}
@TechReport{Kahan:1973:IAC,
author = "W. M. Kahan",
title = "Implementation of Algorithms (Chapter 12)",
number = "AD 769-124",
institution = "National Technical Information Service",
address = "Springfield, Virginia",
year = "1973",
bibdate = "Fri Jan 12 11:37:56 1996",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-jr,
}
@TechReport{Kahan:1973:IAL,
author = "W. Kahan",
title = "Implementation of Algorithms (Lecture Notes by {W. S.
Haugeland} and {D. Hough})",
type = "Technical Report",
number = "20",
institution = inst-BERKELEY-CS,
address = inst-BERKELEY-CS:adr,
pages = "????",
year = "1973",
bibdate = "Tue Aug 28 05:28:07 2001",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
mynote = "I have photocopy of Part I, secs 9 and 10 from Jeremy
Du Croz. Saw Philip Gill's complete copy, Dec 1994.
Nothing I wanted to copy.",
remark = "This paper contains the modified compensating
summation algorithm wherein `e = (temp - s) + y' is
replaced by `f = 0; if (sign(temp) == sign(y)) {f =
(0.46*s - s) + s} e = ((temp - f) - (s - f)) + y',
cited in e.g.,
\cite{Dalhquist:1974:NM,Higham:1993:AFP}. Kahan remarks
``The mysterious constant 0.46, which could perhaps be
any number between 0.25 and 0.50, and the fact that the
proof requires a consideration of known machines
designs, indicate that this algorithm is not an advance
in computer science.''",
}
@TechReport{Kahan:1974:ALA,
author = "W. Kahan and B. N. Parlett",
title = "An Analysis of {Lanczos} Algorithms for Symmetric
Matrices",
number = "ERL-M467",
institution = "University of California, Berkeley",
address = "Berkeley, CA, USA",
year = "1974",
bibdate = "Mon Apr 25 18:24:02 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Kahan:1975:EP,
author = "W. Kahan",
title = "An ellipse problem",
journal = j-SIGSAM,
volume = "9",
number = "3",
pages = "11--??",
month = aug,
year = "1975",
CODEN = "SIGSBZ",
ISSN = "0163-5824",
bibdate = "Mon Apr 25 05:53:53 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Kahan:1975:SNH,
author = "W. Kahan",
title = "Spectra of nearly {Hermitian} matrices",
journal = j-PROC-AM-MATH-SOC,
volume = "48",
pages = "11--17",
year = "1975",
CODEN = "PAMYAR",
ISSN = "0002-9939",
MRclass = "15A42",
MRnumber = "MR0369394 (51 \#5627)",
MRreviewer = "B. N. Moyls",
bibdate = "Mon Apr 25 18:24:02 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the American Mathematical Society",
}
@InProceedings{Laveuve:1975:DKA,
author = "S. E. Laveuve",
editor = "K. Nickel",
booktitle = "Interval Mathematics",
title = "{Definition Einer Kahan-Arithmetik Und Ihre
Implementierung}. ({German}) [{Definition} of a {Kahan}
Arithmetic and its Implementation]",
volume = "29",
publisher = pub-SV,
address = pub-SV:adr,
pages = "236--245",
year = "1975",
bibdate = "Fri Jan 12 11:37:56 1996",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
series = "Lecture Notes In Computer Science",
acknowledgement = ack-jr,
}
@InCollection{Kahan:1976:HFSa,
author = "W. Kahan and B. N. Parlett",
booktitle = "Sparse matrix computations (Proc. Sympos., Argonne
Nat. Lab., Lemont, Ill., 1975)",
title = "How far should you go with the {Lanczos} process?",
publisher = pub-AP,
address = pub-AP:adr,
pages = "131--144",
year = "1976",
MRclass = "65F15",
MRnumber = "MR0458836 (56 \#17036)",
MRreviewer = "Michael S. Martin",
bibdate = "Mon Apr 25 18:24:02 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Kahan:1976:HFSb,
author = "W. Kahan and B. N. Parlett",
editor = "J. Bunch and D. Rose",
booktitle = "Sparse Matrix Computations",
title = "How Far Should You Go with the {Lanczos} Process?",
publisher = pub-AP,
address = pub-AP:adr,
pages = "131--144",
year = "1976",
bibdate = "Mon Apr 25 18:24:02 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Kahan:1977:CYC,
author = "W. M. Kahan and B. N. Parlett",
title = "Can You Count on Your Calculator?",
type = "Memorandum",
number = "UCB/ERL M77/21",
institution = "Electronics Research Laboratory, College of
Engineering, University of California, Berkeley",
address = "Berkeley, CA, USA",
pages = "ii + 28",
day = "6",
month = apr,
year = "1977",
bibdate = "Fri Jan 12 11:37:56 1996",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "German Transl. Published In: Jahrbuch {\"U}berblicke
Mathematik 1978, Ed. by B. Fuchssteiner and others,
Bibliographisches Institut, Mannheim-Wien-Z{\"u}rich,
199--216, 1978",
URL = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-jr,
}
@TechReport{Kahan:1977:NSC,
author = "W. Kahan",
title = "And now for something completely different: {The Texas
Instruments SR-52}",
type = "Memorandum",
number = "No. UCB/ERL M77/23",
institution = "Electronics Research Laboratory, College of
Engineering, University of California",
address = "Berkeley",
pages = "????",
month = apr,
year = "1977",
bibdate = "Mon Apr 25 18:24:02 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Lauer:1977:SKP,
author = "Markus Lauer",
title = "A solution to {Kahan}'s problem ({SIGSAM} problem No.
9)",
journal = j-SIGSAM,
volume = "11",
number = "2",
pages = "16--20",
month = "????",
year = "1977",
CODEN = "SIGSBZ",
ISSN = "0163-5824",
bibdate = "Fri Sep 06 06:46:33 1996",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/sigsam.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Kahan:1978:HFS,
author = "W. Kahan and B. N. Parlett",
title = "How far should you go with the {Lanczos} process?",
type = "Memorandum",
number = "UCB/ERL M78/48",
institution = "Electronics Research Laboratory, College of
Engineering, University of California, Berkeley",
address = "Berkeley, CA, USA",
pages = "16",
year = "1978",
bibdate = "Fri Nov 11 05:15:08 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Coonen:1979:PSB,
author = "Jerome Coonen and William Kahan and John Palmer and
Tom Pittman and David Stevenson",
title = "A Proposed Standard for Binary Floating Point
Arithmetic: Draft 5.11",
journal = j-SIGNUM,
volume = "14",
number = "3S (Special issue)",
pages = "4--12",
month = oct,
year = "1979",
CODEN = "SNEWD6",
ISSN = "0163-5778",
bibdate = "Tue Apr 12 07:50:07 MDT 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/signum.bib;
ftp://garbo.uwasa.fi/pc/doc-soft/fpbiblio.txt;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://portal.acm.org/;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb # " and " # ack-nj,
classcodes = "C5230 (Digital arithmetic methods)",
keywords = "arithmetic; binary; digital arithmetic; floating
point; IEEE Computer Society; Microprocessor; standard;
standards; Standards Subcommittee",
treatment = "P Practical",
xxnumber = "si-2",
}
@Article{Kahan:1979:PCK,
author = "William M. Kahan",
title = "Personal Calculator Has Key to Solve Any Equation
{$f(x)=0$}",
journal = j-HEWLETT-PACKARD-J,
volume = "30",
number = "12",
pages = "20--26",
month = dec,
year = "1979",
CODEN = "HPJOAX",
ISSN = "0018-1153",
MRclass = "65-01 (65G05 65H05)",
MRnumber = "MR574853 (81k:65002)",
MRreviewer = "R. P. Brent",
bibdate = "Tue Mar 25 14:12:15 MST 1997",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/hpj.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Lecture notes for Math 128.",
URL = "http://www.cs.berkeley.edu/~wkahan/Math128/SOLVEkey.pdf",
acknowledgement = ack-nhfb,
classcodes = "C5420 (Mainframes and minicomputers); C7310
(Mathematics computing)",
corpsource = "Univ. of California, Berkeley, CA, USA",
fjournal = "Hewlett-Packard Journal",
keywords = "electronic calculators; equation solving; finding;
handheld calculator; HP 34C; linear algebra; personal
calculator; root; SOLVE",
reviewer = "R. P. Brent",
treatment = "P Practical",
}
@InProceedings{Kahan:1979:PIC,
author = "W. Kahan and J. Palmer and J. Coonen",
title = "Proposed {IEEE-CS Standard for Binary Floating Point
Arithmetic}",
crossref = "Gentleman:1979:PCS",
pages = "32--36",
year = "1979",
bibdate = "Tue Apr 26 07:05:24 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Kahan:1979:PFP,
author = "W. Kahan and J. Palmer",
title = "On a Proposed Floating-Point Standard",
journal = j-SIGNUM,
volume = "14",
number = "3S (Special issue)",
pages = "13--21",
month = oct,
year = "1979",
CODEN = "SNEWD6",
ISSN = "0163-5778",
bibdate = "Tue Apr 12 07:50:07 MDT 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib;
ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/signum.bib;
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://portal.acm.org/",
abstract = "A standard for binary floating-point arithmetic is
being proposed and there is a very real possibility
that it will be adopted by many manufacturers and
implemented on a wide range of computers. This
development matters to all of us concerned with
numerical software. One of the principal motivations
for the standard is to distribute more evenly the
burden of portability between hardware and software. At
present, any program intended to be portable must be
designed for a mythical computer that enjoys no
capability not supported by every computer on which the
program will be run. That mythical computer is so much
grubbier than almost any real computer that a portable
program will frequently be denigrated as ``suboptimal''
and then supplanted by another program supposedly
``optimal'' for the real computer in question but often
inferior in critical respects like reliability. A
standard --- almost any reasonable standard --- will
surely improve the situation. A standard environment
for numerical programs will promote fair comparisons
and sharing of numerical codes, thereby lowering costs
and prices. Furthermore, we have chosen repeatedly to
enrich that environment in order that applications
programs be simpler and more reliable. Thus will the
onus of portability be shared among hardware
manufacturers and software producers.",
acknowledgement = ack-nhfb # " and " # ack-nj,
classcodes = "C5230 (Digital arithmetic methods)",
corpsource = "Univ. of California, Berkeley, CA, USA",
keywords = "arithmetic; digital arithmetic; floating point;
proposal; standard; standards",
treatment = "P Practical",
xxnumber = "si-2",
}
@Article{Kahan:1980:HCE,
author = "William M. Kahan",
title = "Handheld Calculator Evaluates Integrals",
journal = j-HEWLETT-PACKARD-J,
volume = "31",
number = "8",
pages = "23--32",
month = aug,
year = "1980",
CODEN = "HPJOAX",
ISSN = "0018-1153",
MRclass = "65-04 (65D30)",
MRnumber = "MR590837 (82d:65001)",
MRreviewer = "S. Dubuc",
bibdate = "Tue Mar 25 14:12:15 MST 1997",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/hpj.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Lecture notes for Math 128.",
URL = "http://www.cs.berkeley.edu/~wkahan/Math128/INTGTkey.pdf",
acknowledgement = ack-nhfb,
classcodes = "C4160 (Numerical integration and differentiation);
C5230 (Digital arithmetic methods)",
corpsource = "Hewlett-Packard Co., Palo Alto, CA, USA",
fjournal = "Hewlett-Packard Journal",
keywords = "34C; digital arithmetic; handheld calculator; HP;
integrals; integration; numerical integration;
numerical methods",
reviewer = "S. Dubuc",
treatment = "G General Review; P Practical",
}
@InProceedings{Kahan:1980:IAO,
author = "William M. Kahan",
title = "Interval Arithmetic Options in the Proposed {IEEE
Floating Point Arithmetic Standard}",
crossref = "Nickel:1980:IMP",
pages = "99--128",
year = "1980",
bibdate = "Fri Jan 12 11:37:56 1996",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-jr,
}
@Unpublished{Kahan:1980:SPI,
author = "W. Kahan",
title = "Software {$\sqrt{x}$} for the Proposed {IEEE}
Floating-Point Standard",
institution = inst-BERKELEY-CS,
address = inst-BERKELEY-CS:adr,
day = "25",
month = aug,
year = "1980",
bibdate = "Mon Apr 25 18:24:02 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Manuscript",
acknowledgement = ack-nhfb,
}
@Book{Laveuve:1980:DKA,
author = "S. E. Laveuve",
title = "{Definition Einer Kahan-Arithmetik Und Ihre
Implementierung In Tripleo}. (German) [{Definition} of
a {Kahan} Arithmetic and its implementation in
{Tripleo}]",
publisher = pub-AP,
address = pub-AP:adr,
pages = "355--366",
year = "1980",
bibdate = "Fri Jan 12 11:37:56 1996",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-jr,
}
@Article{Kahan:1981:PEC,
author = "W. Kahan",
title = "The Programming Environment's Contribution to Program
Robustness",
journal = j-SIGNUM,
volume = "16",
number = "4",
pages = "10--??",
month = oct,
year = "1981",
CODEN = "SNEWD6",
ISSN = "0163-5778",
bibdate = "Mon Apr 25 06:38:05 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Kahan:1981:WDW,
author = "W. Kahan",
title = "Why Do We Need a Floating-Point Arithmetic Standard?",
type = "Technical Report",
institution = inst-BERKELEY,
address = inst-BERKELEY:adr,
pages = "41",
day = "12",
month = feb,
year = "1981",
bibdate = "Fri Apr 7 12:22:17 GMT 1995",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
remark = "Available in a retypeset version
\cite{Kahan:2001:WDW}.",
}
@Article{Neumann:1981:KRC,
author = "M. Neumann",
title = "The {Kahan S.O.R.} convergence bound for nonsingular
and irreducible ${M}$-matrices",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "39",
pages = "205--222",
year = "1981",
CODEN = "LAAPAW",
ISSN = "0024-3795",
MRclass = "65F10 (15A06)",
MRnumber = "82j:65021",
MRreviewer = "R. J. Plemmons",
bibdate = "Thu Jan 23 11:18:08 MST 1997",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/linala1980.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
remark = "Refers to Kahan's 1958 Ph.D. thesis.",
}
@Article{Davis:1982:NPD,
author = "Chandler Davis and W. M. Kahan and H. F. Weinberger",
title = "Norm-Preserving Dilations and their Applications to
Optimal Error Bounds",
journal = j-SIAM-J-NUMER-ANAL,
volume = "19",
number = "3",
pages = "445--469",
month = jun,
year = "1982",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
MRclass = "47A20 (65J10)",
MRnumber = "MR656462 (84b:47010)",
MRreviewer = "Peter Lancaster",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "See \cite{Meinguet:1986:DKW}.",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
}
@TechReport{Kahan:1982:BCC,
author = "W. Kahan",
title = "Branch Cuts for Complex Elementary Functions",
type = "Technical Report",
number = "PAM-105",
institution = inst-BERKELEY-CPAM,
address = inst-BERKELEY-CPAM:adr,
month = oct,
year = "1982",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Math/Matrix.bib.gz;
ftp://ftp.math.utah.edu/pub/tex/bib/elefunt.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
keywords = "na, elementary function",
}
@InProceedings{Kahan:1982:NOS,
author = "W. Kahan and Jerome T. Coonen",
title = "The Near Orthogonality of Syntax, Semantics, and
Diagnostics in Numerical Programming Environments",
crossref = "Reid:1982:RBN",
pages = "103--115",
year = "1982",
bibdate = "Sat Nov 9 08:26:18 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
catcode = "D.3; G.1.0; F.3.2; D.2.5; D.2; D.3",
content = "Programmers of early computers had to content
themselves with what the machine designers offered and
be glad that the hardware worked at all. Later, with
the introduction of higher-level languages, the
computing environment was modified by the language
designers who attempted to resolve a three-cornered
tug-of-war among implementation efficiency, program
portability, and usefulness to the programmer. The
conflict between the first two resulted in languages
that reflected the least common denominator of
available hardware, since language designers were
disinclined to mention any capability not available on
all computers. A case in point is floating-point
arithmetic, where the subtleties of overflow,
underflow, and rounding are generally well beyond the
control of the programmer in a high-level language. The
new standard for binary floating-point arithmetic that
has been proposed by IEEE Computer Society's
Floating-Point Committee, Task P754 [1], makes an
attempt to escape from this situation. It represents
the Committee's view of the floating-point requirements
of the \ldots{}",
CRclass = "D.3.1 Formal Definitions and Theory; G.1.0 General;
G.1.0 Computer arithmetic; F.3.2 Semantics of
Programming Languages; F.3.2 Algebraic approaches to
semantics; D.2.5 Testing and Debugging; D.2.5
Diagnostics; D.2.6 Programming Environments; D.3.3
Language Constructs",
CRnumber = "8401-0021",
descriptor = "Software, PROGRAMMING LANGUAGES, Formal Definitions
and Theory; Mathematics of Computing, NUMERICAL
ANALYSIS, General, Computer arithmetic; Theory of
Computation, LOGICS AND MEANINGS OF PROGRAMS, Semantics
of Programming Languages, Algebraic approaches to
semantics; Software, SOFTWARE ENGINEERING, Testing and
Debugging, Diagnostics; Software, SOFTWARE ENGINEERING,
Programming Environments; Software, PROGRAMMING
LANGUAGES, Language Constructs",
genterm = "LANGUAGES; STANDARDIZATION",
keywords = "floating-point arithmetic; rounding errors",
reviewer = "M. Marcotty; Marcotty, M",
source = "in the relationship between numerical computation and
programming languages. Proc. IFIP TC2 working
conference (Boulder, CO, Aug. 3-7, 1981) J. K. Reid
(Ed.) Elsevier North-Holland, Inc., New York, 1982",
subject = "D. Software; D.3 PROGRAMMING LANGUAGES; G. Mathematics
of Computing; G.1 NUMERICAL ANALYSIS; F. Theory of
Computation; F.3 LOGICS AND MEANINGS OF PROGRAMS; D.
Software; D.2 SOFTWARE ENGINEERING; D. Software; D.2
SOFTWARE ENGINEERING; D. Software; D.3 PROGRAMMING
LANGUAGES",
}
@Article{Kahan:1982:RBA,
author = "W. Kahan and B. N. Parlett and E. Jiang",
title = "Residual Bounds on Approximate Eigensystems of
Nonnormal Matrices",
journal = j-SIAM-J-NUMER-ANAL,
volume = "19",
number = "3",
pages = "470--484",
month = jun,
year = "1982",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
MRclass = "65F15 (65F35)",
MRnumber = "MR656463 (83h:65050)",
MRreviewer = "William W. Hager",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
}
@Book{Waser:1982:IAD,
author = "Shlomo Waser and Michael J. Flynn",
title = "Introduction to Arithmetic for Digital Systems
Designers",
publisher = pub-HRW,
address = pub-HRW:adr,
pages = "xvii + 308",
year = "1982",
ISBN = "0-03-060571-7",
ISBN-13 = "978-0-03-060571-0",
LCCN = "TK7895.A65 W37 1982",
bibdate = "Sat Apr 8 10:43:33 GMT 1995",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
mynote = "Nothing of particular note. Discusses (a non-final)
`Kahan proposal' for the IEEE standard and criticisms
of it, but this part now obsolete.",
}
@TechReport{Kahan:1983:M,
author = "W. Kahan",
title = "Minimizing $q \times m - n$",
institution = inst-BERKELEY-MATH-EECS,
address = inst-BERKELEY-MATH-EECS:adr,
month = mar,
year = "1983",
bibdate = "Fri May 03 12:26:29 2002",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
URL = "http://www.cs.berkeley.edu/~wkahan/testpi/nearpi.c",
acknowledgement = ack-nhfb,
remark = "Nearpi, a C program to exhibit large floating-point
numbers $Z = m * 2 ^ L$ very close to integer multiples
of $\pi/2$.",
}
@InProceedings{Kahan:1983:MWS,
author = "W. Kahan",
title = "Mathematics Written in Sand --- The {HP-15C}, {Intel
8087}, etc.",
crossref = "Anonymous:1983:PSC",
pages = "12--26",
year = "1983",
bibdate = "Fri May 03 12:02:15 2002",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
URL = "http://www.cs.berkeley.edu/~wkahan/MathSand.pdf",
acknowledgement = ack-nhfb,
bookpages = "vi + 344",
remark = "The original published version was a photoreduction of
dot-matrix printer output; the URL points to a cleaner
version.",
}
@Unpublished{Kahan:1983:PISa,
author = "W. Kahan",
title = "The Proposed {IEEE Standard p754 for Floating-Point
Arithmetic}: {What} Good is it?",
institution = inst-BERKELEY-CS,
address = inst-BERKELEY-CS:adr,
pages = "6",
year = "1983",
bibdate = "Sun Dec 18 15:08:57 GMT 1994",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Manuscript",
acknowledgement = ack-nhfb,
mynote = "Date deduced from info in the paper.",
}
@InProceedings{Kahan:1983:PISb,
author = "W. Kahan",
title = "The Proposed {IEEE Standard p754 for Floating-Point
Arithmetic}: {What} Good is it?",
crossref = "IEEE:1983:MMW",
pages = "??--??",
year = "1983",
bibdate = "Tue Apr 26 07:17:11 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Ozawa:1983:AIK,
author = "K. Ozawa",
title = "Analysis and Improvement of {Kahan}'s Summation
Algorithm",
journal = j-INFO-PROC,
volume = "6",
number = "4",
pages = "226--230",
year = "1983",
bibdate = "Mon Sep 12 08:06:17 1994",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nj,
}
@Article{Cody:1984:PRW,
author = "William J. {Cody, Jr.} and Jerome T. Coonen and David
M. Gay and K. Hanson and David Hough and W. Kahan and
R. Karpinski and John F. Palmer and F. N. Ris and D.
Stevenson",
title = "A Proposed Radix- and Word-length-independent Standard
for Floating-Point Arithmetic",
journal = j-IEEE-MICRO,
volume = "4",
number = "4",
pages = "86--100 (or 99??)",
month = aug,
year = "1984",
CODEN = "IEMIDZ",
ISSN = "0272-1732",
bibdate = "Thu Dec 14 06:08:58 MST 2000",
bibsource = "Compendex database;
ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/g/gay-david-m.bib;
ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/ieeemicro.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/master.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/standard.bib;
Science Citation Index database (1980--2000);
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nj # " and " # ack-nhfb,
classcodes = "C5230 (Digital arithmetic methods)",
classification = "723; 902; 921",
corpsource = "Argonne Nat. Lab., IL, USA",
keywords = "computer software; digital arithmetic; exceptions;
floating-point arithmetic; IEEE P854; independent
standard; infinity; mathematical techniques --- Digital
Arithmetic; NaNs; operations; precision; proposed
radix- and word-length-independent standard; radix
independent standard; rounding errors; standardization;
standards; traps; word-length-",
mynote = "IEEE P854 draft 1.0",
subject = "K.1 Computing Milieux, THE COMPUTER INDUSTRY,
Suppliers \\ G.1.0 Mathematics of Computing, NUMERICAL
ANALYSIS, General, Computer arithmetic",
treatment = "P Practical",
xxtitle = "A Proposed Radix-Independent and
Word-Length-Independent Standard for Floating-Point
Arithmetic",
}
@Article{Cody:1985:PRW,
author = "W. J. Cody and J. T. Coonen and D. M. Gay and K.
Hanson and D. Hough and W. Kahan and R. Karpinski and
J. Palmer and F. N. Ris and D. Stevenson",
title = "A Proposed Radix- and Word-length-independent Standard
for Floating-point Arithmetic",
journal = j-SIGNUM,
volume = "20",
number = "1",
pages = "37--51",
month = jan,
year = "1985",
CODEN = "SNEWD6",
ISSN = "0163-5778",
bibdate = "Thu Sep 1 10:14:17 1994",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/signum.bib;
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nj,
}
@InProceedings{Kahan:1985:AIA,
author = "W. Kahan and E. LeBlanc",
title = "Anomalies in the {IBM ACRITH} Package",
crossref = "Hwang:1985:PSC",
pages = "322--331",
year = "1985",
bibdate = "Fri Jan 12 11:37:56 1996",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
URL = "http://www.acsel-lab.com/arithmetic/arith7/papers/ARITH7_Kahan_LeBlanc.pdf",
abstract = "The IBM ACRITH package of numerical software is
advertised as reliable and easy to use; but sometimes
its results must astonish or confuse a naive user, This
report exhibits a few of the surprises. For instance, a
finite continued fraction, easy to evaluate in two
dozen keystrokes on a handheld calculator, causes
ACRITH to overflow either exponent range or 15
Megabytes of virtual memory. Lacking access to source
code, we must speculate to explain the anomalies. Some
seem attributable to small bugs in the code; some to
optimistic claims or oversimplifications in the code's
documentation; some to flaws in the doctrine underlying
the code. We conclude that different techniques than
used by ACRITH might have been about as accurate and
yet more economical, robust and perspicuous.",
acknowledgement = ack-jr # " and " # ack-nj,
keywords = "ARITH-7",
}
@TechReport{Kahan:1985:MSC,
author = "W. Kahan",
title = "On the monotonicity of some computed functions",
type = "Technical Report",
number = "PAM-261",
institution = inst-BERKELEY-CPAM,
address = inst-BERKELEY-CPAM:adr,
month = jan,
year = "1985",
bibdate = "Fri Nov 11 17:10:00 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Unpublished{Kahan:1986:DVB,
author = "W. Kahan",
title = "Decimal Versus Binary Floating-Point Arithmetic",
institution = inst-BERKELEY-CS,
address = inst-BERKELEY-CS:adr,
pages = "4",
day = "12",
month = nov,
year = "1986",
bibdate = "Mon Dec 26 21:15:58 GMT 1994",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Manuscript",
acknowledgement = ack-nhfb,
}
@TechReport{Kahan:1986:RAF,
author = "W. Kahan",
title = "Rational Arithmetic in Floating-Point",
type = "Technical Report",
number = "PAM-343",
institution = inst-BERKELEY-CPAM,
address = inst-BERKELEY-CPAM:adr,
pages = "8",
month = sep,
year = "1986",
bibdate = "Sun Dec 18 15:33:08 GMT 1994",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Unpublished{Kahan:1986:RPE,
author = "W. Kahan",
title = "Roundoff in Polynomial Evaluation",
institution = inst-BERKELEY-CS,
address = inst-BERKELEY-CS:adr,
pages = "7",
day = "16",
month = nov,
year = "1986",
bibdate = "Sun Dec 18 15:11:41 GMT 1994",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Manuscript",
acknowledgement = ack-nhfb,
keywords = "floating-point arithmetic; rounding errors",
}
@TechReport{Kahan:1986:SRC,
author = "W. Kahan",
title = "To Solve a Real Cubic Equation",
type = "Technical Report",
number = "PAM-352",
institution = inst-BERKELEY-CPAM,
address = inst-BERKELEY-CPAM:adr,
pages = "20",
month = nov,
year = "1986",
bibdate = "Tue Feb 7 15:14:37 GMT 1995",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
mynote = "Plus Oct 11 1991 updated version of which I have a few
pages.",
}
@Article{Meinguet:1986:DKW,
author = "Jean Meinguet",
title = "On the {Davis-Kahan-Weinberger} solution of the
norm-preserving dilation problem",
journal = j-NUM-MATH,
volume = "49",
number = "2/3",
pages = "331--341",
month = jul,
year = "1986",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
MRclass = "47A20 (15A09 47A62 65F05)",
MRnumber = "87i:47008",
MRreviewer = "T. Ando",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/nummath.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Refers to the work \cite{Davis:1982:NPD}.",
acknowledgement = ack-nhfb,
classification = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Inst. de Math. pure et Appl., Louvain Univ., Belgium",
keywords = "Davis-Kahan-Weinberger solution; finite-dimensional
dilations; Hilbert spaces; matrix algebra; matrix
theory; norm-preserving dilation problem",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Fateman:1987:IEI,
author = "Richard J. Fateman and W. Kahan",
title = "Improving exact integrals from symbolic algebra
systems",
type = "Technical Report",
number = "PAM-261",
institution = inst-BERKELEY-CPAM,
address = inst-BERKELEY-CPAM:adr,
month = aug,
year = "1987",
bibdate = "Fri Nov 11 17:10:00 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
URL = "http://www.cybertester.com/data/iintegr.pdf",
acknowledgement = ack-nhfb,
}
@InProceedings{Kahan:1987:BCC,
author = "W. Kahan",
title = "Branch Cuts for Complex Elementary Functions or Much
Ado About Nothing's Sign Bit",
crossref = "Iserles:1987:SAN",
volume = "9",
pages = "165--211",
year = "1987",
MRclass = "65E05",
MRnumber = "88k:65027",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/elefunt.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
URL = "http://www.cs.berkeley.edu/~dbindel/class/cs279/",
series = "Inst. Math. Appl. Conf. Ser. New Ser.",
acknowledgement = ack-nhfb # " and " # ack-nj,
}
@Unpublished{Kahan:1987:CWF,
author = "W. Kahan",
title = "Checking whether floating-point division is correctly
rounded",
year = "1987",
bibdate = "Mon Apr 25 05:40:03 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Lecture notes.",
acknowledgement = ack-nhfb,
keywords = "floating-point arithmetic; rounding errors",
}
@Unpublished{Kahan:1987:DPI,
author = "W. Kahan",
title = "Doubled-Precision {IEEE} Standard 754 Floating-Point
Arithmetic",
institution = inst-BERKELEY-CS,
address = inst-BERKELEY-CS:adr,
pages = "14",
day = "26",
month = feb,
year = "1987",
bibdate = "Fri Dec 16 09:06:09 GMT 1994",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Manuscript",
acknowledgement = ack-nhfb,
remark = "Cited in \cite{Higham:1993:AFP}.",
}
@Unpublished{Kahan:1987:HSM,
author = "W. Kahan",
title = "How Should {Max} and {Min} be Defined?",
institution = inst-BERKELEY-CS,
address = inst-BERKELEY-CS:adr,
pages = "3",
day = "19",
month = aug,
year = "1987",
bibdate = "Thu Dec 15 11:52:20 GMT 1994",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Manuscript",
acknowledgement = ack-nhfb,
}
@Unpublished{Kahan:1987:PCF,
author = "W. Kahan",
title = "Presubstitution and Continued Fractions",
institution = inst-BERKELEY-CS,
address = inst-BERKELEY-CS:adr,
pages = "8",
day = "17",
month = mar,
year = "1987",
bibdate = "Thu Dec 15 11:52:20 GMT 1994",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Manuscript",
acknowledgement = ack-nhfb,
xxnote = "Found cited as 1995??",
}
@TechReport{Demmel:1988:CSS,
author = "J. Demmel and W. Kahan",
title = "Computing Small Singular Values of Bidiagonal Matrices
with Guaranteed High Relative Accuracy",
type = "LAPACK Working Note",
number = "03",
institution = inst-ANL-MCS,
address = inst-ANL-MCS:adr,
month = feb,
year = "1988",
bibdate = "Fri Apr 22 17:06:37 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/lawn.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "ANL, MCS-TM-110, February 1988.",
URL = "http://www.netlib.org/lapack/lawns/lawn03.ps;
http://www.netlib.org/lapack/lawnspdf/lawn03.pdf",
acknowledgement = ack-nhfb,
}
@Unpublished{Kahan:1988:CPA,
author = "W. Kahan",
title = "A Computer Program with Almost No Significance",
institution = inst-BERKELEY-CS,
address = inst-BERKELEY-CS:adr,
day = "9",
month = nov,
year = "1988",
bibdate = "Thu Dec 15 14:07:12 GMT 1994",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Manuscript",
acknowledgement = ack-nhfb,
}
@Misc{Lenstra:1988:PT,
author = "H. W. {Lenstra, Jr.}",
title = "Probability theory",
howpublished = "World-Wide Web document",
pages = "1",
month = nov,
year = "1988",
bibdate = "Mon Apr 25 18:25:57 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Lecture notes for Math 55.",
URL = "http://www.cs.berkeley.edu/~wkahan/Math55/Lenstra.pdf",
acknowledgement = ack-nhfb,
}
@Unpublished{Kahan:1989:CAA,
author = "W. Kahan",
title = "Calculating Area and Angle of a Needle-Like Triangle",
institution = inst-BERKELEY-CS,
address = inst-BERKELEY-CS:adr,
pages = "5",
day = "26",
month = jan,
year = "1989",
bibdate = "Thu Dec 15 14:03:57 GMT 1994",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Manuscript",
acknowledgement = ack-nhfb,
}
@Unpublished{Kahan:1989:OFH,
author = "W. Kahan",
title = "The Occasional Futility of Higher-Precision
Arithmetic",
institution = inst-BERKELEY-CS,
address = inst-BERKELEY-CS:adr,
pages = "3",
day = "28",
month = sep,
year = "1989",
bibdate = "Fri Dec 16 09:07:41 GMT 1994",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Manuscript",
acknowledgement = ack-nhfb,
}
@Misc{Kahan:1989:PCA,
author = "W. Kahan",
title = "Paradoxes in Concepts of Accuracy",
howpublished = "Lecture notes from Joint Seminar on Issues and
Directions in Scientific Computation, Berkeley",
year = "1989",
bibdate = "Sat Sep 17 18:40:08 1994",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
acknowledgement = ack-nhfb,
}
@Unpublished{Kahan:1989:SRN,
author = "W. Kahan",
title = "A Singularity Removable Numerically when Arithmetic is
Clean",
institution = inst-BERKELEY-CS,
address = inst-BERKELEY-CS:adr,
pages = "2",
day = "17",
month = may,
year = "1989",
bibdate = "Thu Dec 15 12:50:47 GMT 1994",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib",
note = "Manuscript",
acknowledgement = ack-nhfb,
}
@TechReport{Anderson:1990:PEL,
author = "E. Anderson and C. Bischof and J. Demmel and J.
Dongarra and J. {Du Croz} and S. Hammarling and W.
Kahan",
title = "Prospectus for an Extension to {LAPACK}: {A} Portable
Linear Algebra Library for High-Performance Computers",
type = "LAPACK Working Note" # " and " # type-CSDTR,
number = "26 and CS-90-118",
institution = inst-UT-CS,
address = inst-UT-CS:adr,
pages = "10",
month = nov,
year = "1990",
bibdate = "Fri Apr 22 17:06:37 2005",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Parallel/par.lin.alg.bib;
ftp://ftp.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;