%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "2.05", %%% date = "25 October 2005", %%% time = "07:38:39 MDT", %%% filename = "mathcomp1970.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 = "28208 23166 92893 852083", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "BibTeX, bibliography, Mathematics of %%% Computation, Mathematical Tables and Aids %%% to Computation, Mathematical Tables and %%% Other Aids to Computation", %%% supported = "yes", %%% docstring = "This is a COMPLETE bibliography of %%% publications for the decade 1970--1979 in %%% the American Mathematical Society journals %%% Mathematics of Computation (ISSN 0025-5718 %%% (paper), ISSN 1088-6842 (electronic), CODEN %%% MCMPAF), which began publishing in January %%% 1960, as the successor to Mathematical %%% Tables and Other Aids to Computation (ISSN %%% 0891-6837, CODEN MTTCAS) (October 1943 -- %%% December 1959), which in turn succeeded %%% Mathematical Tables and Aids to Computation %%% (January 1943 -- July 1943). %%% %%% At version 2.00, the large number of %%% publications in these journals required the %%% splitting of the original file, %%% mathcomp.bib, into decade-specific files, %%% mathcomp19xy.bib, and the withdrawal of the %%% mathcomp.* files. %%% %%% The journal has a World-Wide Web site at %%% %%% http://www.ams.org/mcom/ %%% %%% It provides tables of contents data for %%% 1996--date. %%% %%% There is also complete coverage of all %%% journal issues with full text available to %%% members of subscribing institutions in the %%% JSTOR archive at %%% %%% http://www.jstor.org/journals/08916837.html %%% %%% At version 2.04, the year coverage looked %%% like this: %%% %%% 1970 ( 90) 1979 ( 113) 1988 ( 0) %%% 1971 ( 91) 1980 ( 0) 1989 ( 0) %%% 1972 ( 100) 1981 ( 0) 1990 ( 0) %%% 1973 ( 100) 1982 ( 0) 1991 ( 0) %%% 1974 ( 113) 1983 ( 0) 1992 ( 0) %%% 1975 ( 116) 1984 ( 1) 1993 ( 0) %%% 1976 ( 83) 1985 ( 0) 1994 ( 1) %%% 1977 ( 94) 1986 ( 0) %%% 1978 ( 111) 1987 ( 0) %%% %%% Article: 1011 %%% Book: 1 %%% Proceedings: 1 %%% %%% Total entries: 1013 %%% %%% This journal is unusual in that issue %%% numbers increase uniformly, without a fixed %%% number of issues per volume. Early volumes %%% did not assign months, but by the 1960s, %%% each issue included a month, although the %%% publication month appears to be irregular. %%% Regrettably, the MathSciNet database, which %%% supplied the data for many of the entries %%% below, does not record month data. %%% %%% The final pages of each issue are devoted %%% to reviews, and brief (sometimes only a few %%% lines) communications about errata in %%% published mathematical tables. In some, %%% the author is identified, but in others, %%% only author initials are supplied. %%% Bibliographic data for this end matter %%% appears to be somewhat unreliably recorded %%% in journal databases, even in the %%% publisher's own MathSciNet database. %%% %%% Data for the bibliography has been %%% collected from the OCLC Contents1st %%% database, from the bibliographies in the %%% TeX User Group collection, from %%% bibliographies in the author's personal %%% files, from the IEEE INSPEC CD ROM %%% databases (1989--Sep 1996), and from the %%% computer science bibliography collection on %%% ftp.ira.uka.de in /pub/bibliography to %%% which many people of have contributed. The %%% snapshot of this collection was taken on %%% 5-May-1994, and it consists of 441 BibTeX %%% files, 2,672,675 lines, 205,289 entries, %%% and 6,375 String{} abbreviations, %%% occupying 94.8MB of disk space. %%% %%% For version 2.00, data from the JSTOR %%% database was merged in. This database %%% provides complete page images of the entire %%% journal, and allows full-text searching into %%% OCR text derived from the page images. %%% %%% Mathematical markup, which is required %%% extensively in this journal, was evidently %%% added by hand. The result is that there are %%% frequent discrepancies between the MathSciNet %%% and JSTOR titles; when these did not appear %%% to be typographically similar, the original %%% journal pages were consulted, and generally %%% given preference. Also, JSTOR markup is %%% generally in LaTeX2e form, while the %%% MathSciNet markup is in plain TeX form, and %%% often includes typographically niceties like %%% thin spaces, which the JSTOR markup omits. %%% %%% The JSTOR author and title data is often %%% missing accents; sometimes these accents %%% appeared in the original journal text, and %%% sometimes not. MathSciNet has the practice %%% of supplying accents, particularly in %%% personal names, even when they are missing %%% from the original publication. Since the %%% loss of accents in the latter sometimes %%% reflected technological limitations in the %%% journal typesetting, and since the accents %%% are essential in the languages from which %%% those personal names came, I have followed %%% the MathSciNet convention, and provided %%% accents were possible. Nevertheless, since %%% it is not feasible for me to check every %%% journal title page, and MathSciNet covers %%% only about half the publications in this %%% journal, some accents surely still remain %%% missing. %%% %%% Although the JSTOR author and title data may %%% have been derived from the OCR text of the %%% journal pages, the need for extensive %%% mathematical markup appears to have %%% introduced many other errors. Whenever a %%% discrepancy between JSTOR and MathSciNet was %%% detected, the original journal title pages %%% were consulted. %%% %%% Finally, MathSciNet has a practice of %%% including additional information, such as %%% journal citation and MRnumber data, in titles %%% that comment on other articles, or for %%% articles that are accompanied by supplements. %%% Since this additional information is helpful, %%% I have retained it, even though it does not %%% appear in the original title. In retrospect, %%% I probably should have introduced a separate %%% MRtitle key/value pair to distinguish between %%% them, but the effort to merge in the JSTOR %%% data has exhausted me. %%% %%% Numerous errors in the sources noted above %%% have been corrected. Spelling has been %%% verified with the UNIX spell and GNU ispell %%% programs using the exception dictionary %%% stored in the companion file with extension %%% .sok. %%% %%% 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 in %%% publication order, using ``bibsort -byvolume''. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== %% \ocirc is a ring-on-top accent @Preamble{"\input bibnames.sty" # "\ifx \ocirc \undefined \def \ocirc #1{{\accent'27#1}}\fi" # "\ifx \mathbb \undefined \def \mathbb #1{{\bf #1}}\fi" # "\hyphenation{ Pros-ku-row-ski Rich-ard }" } %%% ==================================================================== %%% Acknowledgement abbreviations: @String{ack-jr = "Jon Rokne, Department of Computer Science, The University of Calgary, 2500 University Drive N.W., Calgary, Alberta T2N 1N4, Canada"} @String{ack-nhfb = "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|http://www.math.utah.edu/~beebe/|"} @String{ack-nj = "Norbert Juffa, 2445 Mission College Blvd. Santa Clara, CA 95054 USA email: \path=norbert@iit.com="} %%% ==================================================================== %%% Journal abbreviations: @String{j-MATH-COMPUT = "Mathematics of Computation"} %%% ==================================================================== %%% Publisher abbreviations: @String{pub-AMS = "American Mathematical Society"} @String{pub-AMS:adr = "Providence, RI, USA"} %%% ==================================================================== %%% Bibliography entries. This journal has appeared quarterly since %%% volume 1 in 1943 up to 1980, so missing month information has been %%% supplied according to the following table: %%% %%% Number Month %%% 4n+1 jan %%% 4n+2 apr %%% 4n+3 jul %%% 4n oct %%% %%% From 1980 to 1994, there were two volumes each year. @Article{Greenstadt:1970:VVM, author = "J. Greenstadt", title = "Variations on Variable-Metric Methods", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "1--22", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Goldfarb:1970:FVM, author = "Donald Goldfarb", title = "A Family of Variable-Metric Methods Derived by Variational Means", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "23--26", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Schubert:1970:MQN, author = "L. K. Schubert", title = "Modification of a Quasi-{Newton} Method for Nonlinear Equations with a Sparse {Jacobian}", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "27--30", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Varah:1970:MNS, author = "J. M. Varah", title = "Maximum Norm Stability of Difference Approximations to the Mixed Initial Boundary-Value Problem for the Heat Equation", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "31--44", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Shampine:1970:DMN, author = "L. F. Shampine and R. J. Thompson", title = "Difference Methods for Nonlinear First-Order Hyperbolic Systems of Equations", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "45--56", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Rubin:1970:TDS, author = "Ephraim L. Rubin and Stanley Preiser", title = "Three-Dimensional Second-Order Accurate Difference Schemes for Discontinuous Hydrodynamic Flows", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "57--63", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Schultz:1970:ESF, author = "Martin H. Schultz", title = "Elliptic Spline Functions and the {Rayleigh--Ritz--Galerkin} Method", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "65--80", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Lambert:1970:LMM, author = "J. D. Lambert", title = "Linear Multistep Methods with Mildly Varying Coefficients", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "81--93", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Silvester:1970:SQF, author = "P. Silvester", title = "Symmetric Quadrature Formulae for Simplexes", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "95--100", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Lyness:1970:CFC, author = "J. N. Lyness", title = "The Calculation of {Fourier} Coefficients by the {M{\"o}bius} Inversion of the {Poisson} Summation Formula. Part {I}: Functions whose Early Derivatives are Continuous", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "101--135", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Varah:1970:CIS, author = "J. M. Varah", title = "Computing Invariant Subspaces of a General Matrix When the Eigensystem Is Poorly Conditioned", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "137--149", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65.40", MRnumber = "41 \#9434", MRreviewer = "L. W. Ehrlich", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, kwds = "la, nla, eig, pert, invariant subspace, nonsymmetric matrix", } @Article{Lavoie:1970:EED, author = "J. L. Lavoie and R. Michaud", title = "Explicit Expressions for the Determinants of Certain Matrices", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "151--154", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Kershaw:1970:IEI, author = "D. Kershaw", title = "Inequalities on the Elements of the Inverse of a Certain Tridiagonal Matrix", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "155--158", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Ninomiya:1970:GRC, author = "Ichizo Ninomiya", title = "Generalized Rational {Chebyshev} Approximation", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "159--169", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Cody:1970:CAD, author = "W. J. Cody and Kathleen A. Paciorek and Henry C. {Thacher, Jr.}", title = "{Chebyshev} Approximations for {Dawson}'s Integral", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "171--178", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65.20", MRnumber = "41\#2883", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Greville:1970:TTD, author = "T. N. E. Greville", title = "Table for Third-Degree Spline Interpolation with Equally Spaced Arguments", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "179--183", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Krogh:1970:EAP, author = "Fred T. Krogh", title = "Efficient Algorithms for Polynomial Interpolation and Numerical Differentiation", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "185--190", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Luke:1970:FAE, author = "Yudell L. Luke", title = "Further Approximations for Elliptic Integrals", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "191--198", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Zill:1970:SEI, author = "D. G. Zill and B. C. Carlson", title = "Symmetric Elliptic Integrals of the Third Kind", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "199--214", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Newman:1970:TFF, author = "Morris Newman", title = "A Table of the First Factor for Prime Cyclotomic Fields", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "215--219", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Jordan:1970:CPE, author = "J. H. Jordan and J. R. Rabung", title = "A Conjecture of {Paul Erd{\H{o}}s} Concerning {Gaussian} Primes", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "221--223", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Anonymous:1970:Ca, author = "Anonymous", title = "Corrigenda", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "243--243", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Gautschi:1970:CGQ, author = "Walter Gautschi", title = "On the Construction of {Gaussian} Quadrature Rules from Modified Moments", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "245--260", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Kambo:1970:ENC, author = "N. S. Kambo", title = "Error of the {Newton--Cotes} and {Gauss--Legendre} Quadrature Formulas", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "261--269", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Wilson:1970:DLS, author = "M. Wayne Wilson", title = "Discrete Least Squares and Quadrature Formulas", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "271--282", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "IBM, Houston, TX, USA", keywords = "analysis; discrete least squares; discrete processes; formulas; Gauss type; integration; least; least squares approximations; numerical; numerical integration rules; quadratic formulas; square approximations", treatment = "T Theoretical or Mathematical", } @Article{Goodrich:1970:MSQ, author = "R. F. Goodrich and F. Stenger", title = "Movable Singularities and Quadrature", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "283--300", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Barnhill:1970:EAN, author = "Robert E. Barnhill and Gregory M. Nielson", title = "An error analysis for numerical multiple integration. {III}", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "301--314", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Utah, Salt Lake City, UT, USA", keywords = "error analysis; integration; methods; minimum norm cubatures; numerical; numerical methods; numerical multiple integration", treatment = "T Theoretical or Mathematical", } @Article{Carasso:1970:ABV, author = "Alfred Carasso and Seymour V. Parter", title = "An Analysis of ``Boundary-Value Techniques'' for Parabolic Problems", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "315--340", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Wisconsin, Madison, WI, USA", keywords = "boundary value techniques; boundary-value problems; difference equations; finite difference methods; iterative methods; numerical methods; parabolic problems", treatment = "T Theoretical or Mathematical", } @Article{Sag:1970:CIM, author = "T. W. Sag", title = "{Chebyshev} iteration methods for integral equations of the second kind", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "341--355", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4180 (Integral equations)", corpsource = "Flinders Univ., Bedford Park, SA, Australia", keywords = "Chebyshev; Chebyshev approximation; Fredholm integral equations; integral equations; iterative; iterative methods; methods; numerical solution; second kind equations", treatment = "T Theoretical or Mathematical", } @Article{Galimberti:1970:NDS, author = "G. Galimberti and V. Pereyra", title = "Numerical Differentiation and the Solution of Multidimensional {Vandermonde} Systems", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "357--364", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65.55", MRnumber = "43 \#1421", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Central Venezuela, Caracas, Venezuela", keywords = "differentiation; linear equation systems; matrix algebra; multidimensional Vandermonde; numerical differentiation; numerical methods; numerical solution; systems; Vandermonde matrices", kwds = "nla, numerical differentiation, linear system, Vandermonde matrix", treatment = "T Theoretical or Mathematical", } @Article{Broyden:1970:CSR, author = "C. G. Broyden", title = "The Convergence of Single-Rank Quasi-{Newton} Methods", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "365--382", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65.50", MRnumber = "43 \#5714", MRreviewer = "W. M. Kincaid", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", corpsource = "Univ. Essex, Colchester, UK", keywords = "convergence of numerical methods; quasi Newton methods; solution approximation", kwds = "nlop, quasi-Newton", treatment = "T Theoretical or Mathematical", } @Article{Phillips:1970:GLE, author = "David L. Phillips", title = "Generalized Logarithmic Error and {Newton}'s Method for the $m$th Root", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "383--389", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt", acknowledgement = ack-nj # " and " # ack-nhfb, } @Article{Ninomiya:1970:BRS, author = "Ichizo Ninomiya", title = "Best Rational Starting Approximations and Improved {Newton} Iteration for the Square Root", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "391--404", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt", acknowledgement = ack-nhfb # " and " # ack-nj, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Nagoya Univ., Chikua ku, Japan", keywords = "computing procedure; function approximation; iterative methods; Newton iteration; rational approximation; square root", treatment = "T Theoretical or Mathematical", } @Article{Ng:1970:CDF, author = "E. W. Ng and C. J. Devine", title = "On the Computation of {Debye} Functions of Integer Orders", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "405--407", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Pexton:1970:CIC, author = "Robert L. Pexton", title = "Computer Investigation of {Coulomb} Wave Functions", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "409--411", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Univ. California, Livermore, CA, USA", keywords = "Boersma's technique; computer investigation; Coulomb wave; differential equations; functions; numerical methods; numerical solution", treatment = "T Theoretical or Mathematical", } @Article{Cochran:1970:NTF, author = "James Alan Cochran and Judith N. Hoffspiegel", title = "Numerical Techniques for Finding $\nu$-Zeros of {Hankel} Functions", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "413--422", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Cohen:1970:ASN, author = "Henri Cohen", title = "On Amicable and Sociable Numbers", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "423--429", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Bratley:1970:ANT, author = "Paul Bratley and Fred Lunnon and John McKay", title = "Amicable Numbers and Their Distribution", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "431--432", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Lehmer:1970:ISH, author = "D. H. Lehmer and Emma Lehmer and Daniel Shanks", title = "Integer Sequence having Prescribed Quadratic Character", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "433--451", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Brudno:1970:GIM, author = "Simcha Brudno", title = "On Generating Infinitely Many Solutions of the {Diophantine} Equation ${A}^6 + {B}^6 + {C}^6 = {D}^6 + {E}^6 + {F}^6$", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "453--454", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Beyer:1970:SSD, author = "W. A. Beyer and N. Metropolis and J. R. Neergaard", title = "Statistical Study of Digits of Some Square Roots of Integers in Various Bases", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "455--473", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Schultz:1970:EBP, author = "Martin H. Schultz", title = "Error Bounds for Polynomial Spline Interpolation", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "507--515", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Guenther:1970:SOI, author = "R. B. Guenther and E. L. Roetman", title = "Some Observations on Interpolation in Higher Dimensions", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "517--522", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Winslow:1970:BID, author = "Leon Winslow", title = "``Best'' Interpolation, Differentiation, and Integration Approximations on the {Hardy} Space ${H}^2$", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "523--527", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Lewis:1970:CBO, author = "James T. Lewis", title = "Computation of Best One-Sided ${L}_1$ Approximation", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "529--536", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Berkowitz:1970:CMH, author = "S. Berkowitz and F. J. Garner", title = "The Calculation of Multidimensional {Hermite} Polynomials and {Gram--Charlier} Coefficients", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "537--545", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Jones:1970:ACT, author = "William B. Jones and G. Hardy", title = "Accelerating Convergence of Trigonometric Approximations", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "547--560", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Rabinowitz:1970:NEC, author = "Philip Rabinowitz and Nira Richter", title = "New Error Coefficients for Estimating Quadrature Errors for Analytic Functions", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "561--570", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Kahaner:1970:CTQ, author = "David K. Kahaner", title = "{Chebyshev} Type Quadrature Formulas", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "571--574", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Knight:1970:TGQ, author = "C. J. Knight and A. C. R. Newbery", title = "Trigonometric and {Gaussian} Quadrature", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "575--581", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Lether:1970:CPC, author = "Frank G. Lether", title = "Cross-Product Cubature Error Bounds", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "583--592", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Rabinowitz:1970:APM, author = "Philip Rabinowitz and Nira Richter", title = "Asymptotic Properties of Minimal Integration Rules", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "593--609", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Solomon:1970:IVP, author = "Alan Solomon and Faiza Solomon", title = "The Initial-Value Problem for the Equation $(tu_t)_t= u_{xx}$", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "611--620", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Todenes:1970:NSD, author = "Oystein Todenes", title = "On the Numerical Solution of the Diffusion Equation", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "621--627", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Gourlay:1970:NTM, author = "A. R. Gourlay", title = "A Note on Trapezoidal Methods for the Solution of Initial Value Problems", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "629--633", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Brunner:1970:MSS, author = "H. Brunner", title = "Marginal Stability and Stabilization in the Numerical Integration of Ordinary Differential Equations", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "635--646", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Shanno:1970:CQN, author = "D. F. Shanno", title = "Conditioning of Quasi-{Newton} Methods for Function Minimization", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "647--656", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Shanno:1970:OCQ, author = "D. F. Shanno and P. C. Kettler", title = "Optimal Conditioning of Quasi-{Newton} Methods", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "657--664", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Schlegel:1970:EIT, author = "P. Schlegel", title = "The Explicit Inverse of a Tridiagonal Matrix", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "665--665", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Fettis:1970:NMC, author = "Henry E. Fettis", title = "A New Method for Computing Toroidal Harmonics", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "667--670", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Cody:1970:CAC, author = "W. J. Cody and K. E. Hillstrom", title = "{Chebyshev} Approximations for the {Coulomb} Phase Shift", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "671--677", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Kolbig:1970:CZI, author = "K. S. Kolbig", title = "Complex Zeros of an Incomplete {Riemann} Zeta Function and of the Incomplete Gamma Function", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "679--696", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Boyd:1970:LBD, author = "David W. Boyd", title = "Lower Bounds for the Disk Packing Constant", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "697--704", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Makowski:1970:RCE, author = "Andrzej Makowski", title = "Remark on a Conjecture of {Erd{\H{o}}s} on Binomial Coefficients", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "705--705", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Dixon:1970:CIR, author = "John D. Dixon", title = "Computing Irreducible Representations of Groups", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "707--712", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "20.80 (65.00)", MRnumber = "43 \#6330", MRreviewer = "A. Dress", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Math/algebra.bib; JSTOR database", acknowledgement = ack-nhfb, keywords = "characters; ordinary representations", reviews = "MR 43 \# 6330 (A. Dress), Zbl 276.20005 (Autorreferat)", } @Article{Berlekamp:1970:FPL, author = "E. R. Berlekamp", title = "Factoring Polynomials Over Large Finite Fields", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "713--735", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Theory/Comp.Alg.1.bib; JSTOR database", acknowledgement = ack-nhfb, } @Article{Rabung:1970:CPR, author = "J. R. Rabung and J. H. Jordan", title = "Consecutive Power Residues or Nonresidues", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "737--740", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Lehmer:1970:NDR, author = "D. H. Lehmer", title = "Note on the Distribution of {Ramanujan}'s Tau Function", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "741--743", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Beyer:1970:GST, author = "W. A. Beyer and N. Metropolis and J. R. Neergaard", title = "The Generalized Serial Test Applied to Expansions of Some Irrational Square Roots in Various Bases", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "745--747", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Vaillancourt:1970:SFS, author = "Remi Vaillancourt", title = "On the Stability of {Friedrich}'s Scheme and the Modified {Lax--Wendroff} Scheme", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "767--770", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Pereyra:1970:HAN, author = "Victor Pereyra", title = "Highly Accurate Numerical Solution of Casilinear Elliptic Boundary-Value Problems in $n$ Dimensions", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "771--783", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Carasso:1970:PBN, author = "Alfred Carasso", title = "A Posteriori Bounds in the Numerical Solution of Mildly Nonlinear Parabolic Equations", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "785--792", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Young:1970:CPS, author = "David M. Young", title = "Convergence Properties of the Symmetric and Unsymmetric Successive Overrelaxation Methods and Related Methods", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "793--807", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, kwds = "nla, linear system, relaxation, nonsymmetric matrix", } @Article{Bramble:1970:TEF, author = "James H. Bramble and Milo{\u{s}} Zl{\'a}mal", title = "Triangular Elements in the Finite Element Method", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "809--820", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Theory/o_ccd.bib; JSTOR database", acknowledgement = ack-nhfb, } @Article{Burbea:1970:PCM, author = "J. Burbea", title = "A Procedure for Conformal Maps of Simply Connected Domains by Using the {Bergman} Function", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "821--829", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Rabinowitz:1970:CTI, author = "Philip Rabinowitz and Nira Richter", title = "{Chebyshev}-Type Integration Rules of Minimum Norm", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "831--845", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Gustafson:1970:CEC, author = "Sven-{\AA}ke Gustafson", title = "Control and Estimation of Computational Errors in the Evaluation of Interpolation Formulae and Quadrature Rules", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "847--854", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Fritsch:1970:ERM, author = "F. N. Fritsch", title = "On the Existence of Regions With Minimal Third Degree Integration Formulas", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "855--861", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Basu:1970:EEC, author = "N. K. Basu", title = "Error Estimates for a {Chebyshev} Quadrature Method", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "863--867", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Newbery:1970:TIC, author = "A. C. R. Newbery", title = "Trigonometric Interpolation and Curve-Fitting", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "869--876", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Barrodale:1970:TSA, author = "I. Barrodale and J. C. Mason", title = "Two Simple Algorithms for Discrete Rational Approximation", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "877--891", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Bjorck:1970:SVS, author = "Ake Bj{\"o}rck and Victor Pereyra", title = "Solution of {Vandermonde} Systems of Equations", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "893--903", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Theory/Matrix.bib; JSTOR database", acknowledgement = ack-nhfb, kwds = "nla, Vandermonde matrix, linear system", } @Article{Linz:1970:NCE, author = "Peter Linz", title = "On the Numerical Computation of Eigenvalues and Eigenvectors of Symmetric Integral Equations", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "905--910", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Larkin:1970:OAH, author = "F. M. Larkin", title = "Optimal Approximation in {Hilbert} Spaces with Reproducing Kernel Functions", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "911--921", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Diaz:1970:IPE, author = "J. B. Diaz and F. T. Metcalf", title = "On Iteration Procedures for Equations of the First Kind, $Ax = y$, and {Picard}'s Criterion for the Existence of a Solution", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "923--935", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Brayton:1970:SRS, author = "Robert K. Brayton and Fred G. Gustavson and Ralph A. Willoughby", title = "Some Results on Sparse Matrices", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "937--954", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Knuth:1970:NSP, author = "Donald E. Knuth", title = "A Note on Solid Partitions", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "955--961", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Hagis:1970:LBR, author = "Peter {Hagis, Jr.}", title = "Lower Bounds for Relatively Prime Amicable Numbers of Opposite Parity", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "963--968", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Riesel:1970:SCR, author = "Hans Riesel and Gunnar Gohl", title = "Some Calculations Related to {Riemann}'s Prime Number Formula", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "969--983", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Anonymous:1970:Cb, author = "Anonymous", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "1001--1001", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Bramble:1971:LSM, author = "J. H. Bramble and A. H. Schatz", title = "Least Squares Methods for $2m$th Order Elliptic Boundary-Value Problems", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "1--32", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Widlund:1971:ESP, author = "Olof B. Widlund", title = "On the Effects of Scaling of the {Peaceman--Rachford} Method", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "33--41", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Bondesson:1971:IPE, author = "Magnus Bondesson", title = "An Interior a Priori Estimate for Parabolic Difference Operators and an Application", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "43--58", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Lyness:1971:CFCa, author = "J. N. Lyness", title = "The Calculation of {Fourier} Coefficients by the {M{\"o}bius} Inversion of the {Poisson} Summation Formula Part {II}. Piecewise Continuous Functions and Functions with Poles near the Interval [0, 1]", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "59--78", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Nicholson:1971:ENI, author = "D. Nicholson and P. Rabinowitz and N. Richter and D. Zeilberger", title = "On the Error in the Numerical Integration of {Chebyshev} Polynomials", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "79--86", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Lyness:1971:AFF, author = "J. N. Lyness", title = "Adjusted Forms of the {Fourier} Coefficient Asymptotic Expansion and Applications in Numerical Quadrature", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "87--104", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Salkauskas:1971:EQF, author = "K. Salkauskas", title = "Existence of Quadrature Formulae with Almost Equal Weights", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "105--109", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Galant:1971:ICT, author = "David Galant", title = "An Implementation of {Christoffel}'s Theorem in the Theory of Orthogonal Polynomials", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "111--113", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Burgoyne:1971:PTB, author = "F. D. Burgoyne", title = "Practical Throw-Back Interpolation", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "115--117", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Salzer:1971:FBH, author = "Herbert E. Salzer", title = "Formulas for Bivariate Hyperosculatory Interpolation", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "119--133", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Stewart:1971:EAA, author = "G. W. {Stewart, III}", title = "Error Analysis of the Algorithm for Shifting the Zeros of a Polynomial by Synthetic Division", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "135--139", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Theory/Matrix.bib; JSTOR database", acknowledgement = ack-nhfb, kwds = "nlop, polynomial, rounding error", } @Article{McNamee:1971:WCF, author = "J. McNamee and F. Stenger and E. L. Whitney", title = "{Whittaker}'s Cardinal Function in Retrospect", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "141--154", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Fiala:1971:SAS, author = "Frantisek Fiala", title = "Strongly Asymmetric Sequences Generated by Four Elements", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "155--162", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Cusick:1971:DAT, author = "T. W. Cusick", title = "Diophantine Approximation of Ternary Linear Forms", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "163--180", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Yang:1971:HMC, author = "C. H. Yang", title = "On {Hadamard} Matrices Constructible by Circulant Submatrices", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "181--186", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Anonymous:1971:Ca, author = "Anonymous", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "203--203", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Brenner:1971:CDS, author = "Philip Brenner and Vidar Thomee", title = "Contractive Difference Schemes for Symmetric Hyperbolic Systems", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "205--217", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Ciment:1971:SDS, author = "Melvyn Ciment", title = "Stable Difference Schemes with Uneven Mesh Spacings", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "219--227", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, } @Article{Zwas:1971:TFO, author = "Gideon Zwas and Saul Abarbanel", title = "Third and Fourth Order Accurate Schemes for Hyperbolic Equations of Conservation Law Form", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "229--236", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Kuttler:1971:FOF, author = "J. R. Kuttler", title = "A Fourth-Order Finite-Difference Approximation for the Fixed Membrane Eigenproblem", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "237--256", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Stepleman:1971:DAQ, author = "Robert S. Stepleman", title = "Difference Analogues of Quasi-Linear Elliptic {Dirichlet} Problems with Mixed Derivatives", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "257--269", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Dorr:1971:EIC, author = "Fred W. Dorr", title = "An Example of Ill-Conditioning in the Numerical Solution of Singular Perturbation Problems", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "271--283", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Broyden:1971:CAS, author = "C. G. Broyden", title = "The Convergence of an Algorithm for Solving Sparse Nonlinear Systems", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "285--294", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Fike:1971:MAS, author = "C. T. Fike and P. H. Sterbenz", title = "Minimax Approximations Subject to a Constraint", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "295--298", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{King:1971:INI, author = "Richard F. King", title = "Improved {Newton} Iteration for Integral Roots", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "299--304", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Chambers:1971:QFF, author = "Ll. G. Chambers", title = "A Quadratic Formula for Finding the Root of an Equation", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "305--307", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Elliott:1971:UAE, author = "David Elliott", title = "Uniform Asymptotic Expansions of the {Jacobi} Polynomials and an Associated Function", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "309--315", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Spira:1971:CGF, author = "Robert Spira", title = "Calculation of the Gamma Function by {Stirling}'s Formula", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "317--322", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Luke:1971:MTBa, author = "Yudell L. Luke", title = "Miniaturized Tables of {Bessel} Functions", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "323--330", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Ling:1971:NME, author = "Chih-Bing Ling and Jung Lin", title = "A New Method of Evaluation of {Howland} Integrals", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "331--337", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Matta:1971:UCE, author = "F. Matta and A. Reichel", title = "Uniform Computation of the Error Function and Other Related Functions", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "339--344", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Beyer:1971:LSM, author = "W. A. Beyer and R. B. Roof and Dorothy Williamson", title = "The Lattice Structure of Multiplicative Congruential Pseudo-Random Vectors", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "345--363", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Pollard:1971:FFT, author = "J. M. Pollard", title = "The {Fast Fourier Transform} in a Finite Field", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "365--374", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Malcolm:1971:NCJ, author = "Michael A. Malcolm", title = "A Note on a Conjecture of {L}. {J}. Mordell", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "375--377", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Gupta:1971:CQR, author = "Hansraj Gupta", title = "Chains of Quadratic Residues", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "379--382", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{McDaniel:1971:DOP, author = "Wayne L. McDaniel", title = "On the Divisibility of an Odd Perfect Number by the Sixth Power of a Prime", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "383--385", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Choong:1971:RA, author = "K. Y. Choong and D. E. Daykin and C. R. Rathbone", title = "Rational Approximations to $\pi$", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "387--392", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Anonymous:1971:Cb, author = "Anonymous", title = "Corrigenda", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "409--409", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Franklin:1971:SBS, author = "Joel N. Franklin", title = "Stability of Bounded Solutions of Linear Functional Equations", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "413--424", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Sackett:1971:NSP, author = "Gary G. Sackett", title = "Numerical Solution of a Parabolic Free Boundary Problem Arising in Statistical Decision Theory", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "425--434", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Cryer:1971:MCS, author = "Colin W. Cryer", title = "The Method of Christopherson for Solving Free Boundary Problems for Infinite Journal Bearings by Means of Finite Differences", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "435--443", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Shampine:1971:CEE, author = "L. F. Shampine and H. A. Watts", title = "Comparing Error Estimators for {Runge--Kutta} Methods", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "445--455", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Klopfenstein:1971:PAS, author = "R. W. Klopfenstein and C. B. Davis", title = "{PECE} Algorithms for the Solution of Stiff Systems of Ordinary Differential Equations", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "457--473", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Robertson:1971:LTP, author = "T. N. Robertson", title = "The Linear Two-Point Boundary-Value Problem on an Infinite Interval", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "475--481", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Lyness:1971:CFCb, author = "J. N. Lyness", title = "The Calculation of {Fourier} Coefficients by the {M{\"o}bius} Inversion of the {Poisson} Summation Formula. Part {III}: Functions Having Algebraic Singularities", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "483--493", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Duris:1971:OQF, author = "C. S. Duris", title = "Optimal Quadrature Formulas Using Generalized Inverses. Part {I}: General Theory and Minimum Variance Formulas", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "495--504", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Feldstein:1971:EBC, author = "Alan Feldstein and Richard K. Miller", title = "Error Bounds for Compound Quadrature of Weakly Singular Integrals", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "505--520", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Miller:1971:ISN, author = "R. K. Miller", title = "On Ignoring the Singularity in Numerical Quadrature", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "521--532", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Glasser:1971:EII, author = "M. L. Glasser", title = "An Elliptic Integral Identity", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "533--534", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Glasser:1971:CFE, author = "M. L. Glasser and V. E. Wood", title = "A Closed Form Evaluation of the Elliptic Integral", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "535--536", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Cody:1971:CAR, author = "W. J. Cody and K. E. Hillstrom and Henry C. {Thacher, Jr.}", title = "{Chebyshev} Approximations for the {Riemann} Zeta Function", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "537--547", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D20", MRnumber = "47 2785", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Newbery:1971:GIA, author = "A. C. R. Newbery", title = "A Generalized Interpolation Algorithm", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "549--552", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Huddleston:1971:SRB, author = "Robert E. Huddleston", title = "Some Relations Between the Values of a Function and its First Derivative at $n$ Abscissa Points", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "553--558", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Dennis:1971:CBM, author = "J. E. {Dennis, Jr.}", title = "On the convergence of {Broyden}'s method for nonlinear systems of equations", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "559--567", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Goldstein:1971:DLM, author = "A. A. Goldstein and J. F. Price", title = "On Descent from Local Minima", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "569--574", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Rosman:1971:ECA, author = "Bernard H. Rosman", title = "Exponential {Chebyshev} Approximation on Finite Subsets of $\lbrack 0, 1 \rbrack$", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "575--577", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Sameh:1971:JJL, author = "Ahmed H. Sameh", key = "Sameh", title = "On {Jacobi} and {Jacobi-like} Algorithms for a Parallel Computer", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "579--590", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Parallel/Multi.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, kwds = "nla, eig, prll, Jacobi's method, Jacobi-like", } @Article{Reinsch:1971:SRA, author = "Christian H. Reinsch", key = "Reinsch", title = "A Stable, Rational ${QR}$ Algorithm for the Computation of the Eigenvalues of an {Hermitian}, Tridiagonal Matrix", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "591--597", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Parallel/Multi.bib; JSTOR database", acknowledgement = ack-nhfb, } @Article{Phillips:1971:TDH, author = "James L. Phillips", title = "The Triangular Decomposition of {Hankel} Matrices", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "599--602", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, kwds = "nla, lud, Hankel matrix", } @Article{Riley:1971:HKG, author = "Robert Riley", title = "Homomorphisms of Knot Groups on Finite Groups", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "603--619", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Alter:1971:DER, author = "Ronald Alter", title = "On a {Diophantine} Equation Related to Perfect Codes", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "621--624", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Stephens:1971:FTC, author = "N. M. Stephens", title = "On the {Feit--Thompson} Conjecture", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "625--625", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Anonymous:1971:Cc, author = "Anonymous", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "637--637", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Rice:1971:MRN, author = "John R. Rice", title = "Matrix Representations of Nonlinear Equation Iterations--Application to Parallel Computation", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "639--647", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Mangasarian:1971:CGM, author = "O. L. Mangasarian", title = "Convergent Generalized Monotone Splitting of Matrices", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "649--653", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{McAllister:1971:DPC, author = "G. T. McAllister", title = "The {Dirichlet} Problem for a Class of Elliptic Difference Equations", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "655--673", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Kowalski:1971:FDM, author = "Jan Krzysztof Kowalski", title = "A Finite-Difference Method for Parabolic Differential Equations with Mixed Derivatives", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "675--698", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Delves:1971:CRV, author = "L. M. Delves and K. O. Mead", title = "On the Convergence Rates of Variational Methods. {I}: Asymptotically Diagonal Systems", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "699--716", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Miranker:1971:MDS, author = "W. L. Miranker", title = "Matricial Difference Schemes for Integrating Stiff Systems of Ordinary Differential Equations", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "717--728", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Chartres:1971:CDM, author = "Bruce Chartres and Robert Stepleman", title = "Convergence of Difference Methods for Initial and Boundary Value Problems with Discontinuous Data", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "729--732", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Ross:1971:CSG, author = "George G. Ross", title = "On the Computation of Some {Grunsky} Coefficients Relevant to the {Bieberbach} Conjecture", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "733--741", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Burbea:1971:NDM, author = "J. Burbea", title = "A Numerical Determination of the Modulus of Doubly Connected Domains by Using the {Bergman} Curvature", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "743--756", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Ramos:1971:REA, author = "George U. Ramos", title = "Roundoff Error Analysis of the {Fast Fourier Transform}", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "757--768", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Liron:1971:ISR, author = "N. Liron", title = "Infinite Sums of Roots for a Class of Transcendental Equations and {Bessel} Functions of Order One-Half", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "769--781", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Wong:1971:SEI, author = "R. Wong and E. Rosenbloom", title = "Series Expansions of ${W}_{k,m}(z)$ Involving Parabolic Cylinder Functions", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "783--787", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Luke:1971:MTBb, author = "Yudell L. Luke", title = "Miniaturized Tables of {Bessel} Functions, {II}", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "789--795", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Hoskins:1971:TTD, author = "W. D. Hoskins", title = "Table for Third-Degree Spline Interpolation Using Equi-Spaced Knots", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "797--801", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Franke:1971:OCR, author = "Richard Franke", title = "Obtaining Cubatures for Rectangles and Other Planar Regions by Using Orthogonal Polynomials", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "803--817", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Tuan:1971:RQR, author = "P. D. Tuan", title = "On the Remainder in Quadrature Rules", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "819--826", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Kahaner:1971:SPC, author = "David K. Kahaner", title = "Some Polynomials for Complex Quadrature", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "827--830", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Johnson:1971:MQF, author = "L. W. Johnson and R. D. Riess", title = "Minimal Quadratures for Functions of Low-Order Continuity", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "831--835", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Shanks:1971:GTF, author = "Daniel Shanks", title = "{Gauss}'s Ternary Form Reduction and the $2$-{Sylow} Subgroup", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "837--853", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 25 07:31:05 2005", bibsource = "JSTOR database", note = "See corrigendum \cite{Jeltsch:1978:CMJ}.", acknowledgement = ack-nhfb, } @Article{Dieter:1971:PRN, author = "U. Dieter", title = "Pseudo-Random Numbers: The Exact Distribution of Pairs", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "855--883", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Choi:1971:CSI, author = "S. L. G. Choi", title = "Covering the Set of Integers by Congruence Classes of Distinct Moduli", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "885--895", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Bradley:1971:AHS, author = "Gordon H. Bradley", title = "Algorithms for {Hermite} and {Smith} Normal Matrices and Linear {Diophantine} Equations", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "897--907", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Cadwell:1971:LIB, author = "J. H. Cadwell", title = "Large Intervals Between Consecutive Primes", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "909--913", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Hagis:1971:UAN, author = "Peter {Hagis, Jr.}", title = "Unitary Amicable Numbers", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "915--918", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Rosen:1971:SNE, author = "D. Rosen and G. S. {Patterson, Jr.}", title = "Some Numerical Evidence Concerning the Uniqueness of the {Markov} Numbers", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "919--921", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Lal:1971:NCF, author = "M. Lal and A. Forbes", title = "A Note on {Chowla}'s Function", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "923--925", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Dutka:1971:SRD, author = "Jacques Dutka", title = "The Square Root of $2$ to $1,000,000$ Decimals", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "927--930", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Anonymous:1971:Cd, author = "Anonymous", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "947--947", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Babuska:1972:FEM, author = "Ivo Babu{\v{s}}ka", title = "The Finite Element Method for Infinite Domains. {I}", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "1--11", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Univ. Maryland, College Park, MD, USA", keywords = "elliptic partial differential equations; finite element method; infinite domains; numerical methods; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Osher:1972:SPD, author = "Stanley Osher", title = "Stability of parabolic difference approximations to certain mixed initial boundary value problems", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "13--39", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods)", corpsource = "State Univ. New York, Stony Brook, NY, USA", keywords = "boundary-value problems; difference equations; initial boundary value problems; mixed; parabolic difference approximations; stability", treatment = "T Theoretical or Mathematical", } @Article{Eilon:1972:NCT, author = "B. Eilon", title = "A note concerning the two-step {Lax--Wendroff} method in three dimensions", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "41--43", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", corpsource = "Tel Aviv Univ., Israel", keywords = "hydrodynamic case; linear stability; numerical methods; three dimensions; two step Lax Wendroff", treatment = "T Theoretical or Mathematical", } @Article{Madsen:1972:CSD, author = "N. K. Madsen", title = "Convergence of singular difference approximations for the discrete ordinate equations in $x$-$y$ geometry", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "45--50", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Westinghouse Electric Corp., West Mifflin, PA, USA", keywords = "central; convergence; convergence of numerical methods; diamond approximation; difference approximation; difference equations; discrete; ordinate equations; singular difference approximations", treatment = "T Theoretical or Mathematical", } @Article{Guderley:1972:PCM, author = "Karl G. Guderley and Chen-Chi Hsu", title = "A Predictor-Corrector Method for a Certain Class of Stiff Differential Equations", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "51--69", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Wright Patterson Air Force Base, OH, USA", keywords = "differential equations; predictor corrector method; predictor-corrector methods; stiff differential equations", treatment = "T Theoretical or Mathematical", } @Article{Jain:1972:SSM, author = "R. K. Jain", title = "Some {$A$}-stable methods for stiff ordinary differential equations", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "71--77", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Univ. Saskatchewan, Saskatoon, Sask., Canada", keywords = "A stable methods; differential equations; interpolation; interpolation polynomials; numerical methods; polynomials; stiff ordinary", treatment = "T Theoretical or Mathematical", } @Article{Butcher:1972:ATI, author = "J. C. Butcher", title = "An Algebraic Theory of Integration Methods", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "79--106", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Auckland, New Zealand", keywords = "algebraic theory; integration; integration methods; Picard successive approximation; predictor-corrector methods; Runge kutta", treatment = "T Theoretical or Mathematical", } @Article{Butcher:1972:CCC, author = "J. C. Butcher", title = "A convergence criterion for a class of integration methods", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "107--117", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Auckland, New Zealand", keywords = "convergence criterion; convergence of numerical methods; corrector methods; integration; integration methods; predictor-; Runge Kutta", treatment = "T Theoretical or Mathematical", } @Article{Householder:1972:CNM, author = "Alston S. Householder", title = "On a Condition for the Nonsingularity of a Matrix", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "119--120", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Univ. Tennessee, Knoxville, TN, USA", keywords = "convergence; convergence of numerical methods; iterative methods; matrix iteration; nonsingularity of a matrix", treatment = "T Theoretical or Mathematical", } @Article{Rainey:1972:TCN, author = "J. W. Rainey and G. J. Habetler", title = "Tridiagonalization of completely nonnegative matrices", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "121--128", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Univ. Tulsa, OK, USA", keywords = "completely nonnegative matrices; matrix algebra; numerical methods; tridiagonalization", treatment = "T Theoretical or Mathematical", } @Article{Bass:1972:RTA, author = "Ronald Bass", title = "A Rank Two Algorithm for Unconstrained Minimization", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "129--143", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Office Emergency Preparedness, Washington, DC, USA", keywords = "a rank; minimisation; quadratic termination; two algorithm; unconstrained minimization", treatment = "T Theoretical or Mathematical", } @Article{Greenstadt:1972:QNM, author = "John Greenstadt", title = "A Quasi-{Newton} Method with No Derivatives", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "145--166", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "IBM, Palo Alto, CA, USA", keywords = "convergent; numerical methods; quasi Newton method; sequence of approximations; unconstrained minimization", treatment = "T Theoretical or Mathematical", } @Article{Cline:1972:RCL, author = "A. K. Cline", title = "Rate of Convergence of {Lawson}'s Algorithm", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "167--176", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Nat. Center Atmospheric Res., Boulder, CO, USA", keywords = "convergence; convergence of numerical methods; Lawson's algorithm; linear; maximum error", treatment = "T Theoretical or Mathematical", } @Article{Weiss:1972:PIG, author = "Richard Weiss", title = "Product integration for the generalized {Abel} equation", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "177--190", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4180 (Integral equations)", corpsource = "Australian Nat. Univ., Canberra, A.C.T., Australia", keywords = "generalized Abel equation; integration; product integration", treatment = "T Theoretical or Mathematical", } @Article{Kershaw:1972:OAF, author = "D. Kershaw", title = "The orders of approximation of the first derivative of cubic splines at the knots", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "191--198", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Edinburgh, UK", keywords = "cubic splines; first derivative; interpolating; knots; orders of approximation; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Williams:1972:NCA, author = "Jack Williams", title = "Numerical {Chebyshev} approximation by interpolating rationals", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "199--206", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Manchester, UK", keywords = "characterization; Chebyshev approximation; decay functions; exchange algorithm; existence; interpolating rationals; numerical Chebyshev approximation; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Curtis:1972:GIC, author = "A. R. Curtis and P. Rabinowitz", title = "On the {Gaussian} integration of {Chebyshev} polynomials", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "207--211", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Weizmann Inst. Sci., Rehovot, Israel", keywords = "Chebyshev polynomials; error; error analysis; Gaussian integration; integration; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Tuan:1972:CSE, author = "P. D. Tuan and David Elliott", title = "Coefficients in series expansions for certain classes of functions", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "213--232", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", corpsource = "Univ. Tasmania, Hobart, Tas., Australia", keywords = "classical orthogonal polynomials; integral transforms; inverse; polynomials; series expansions", treatment = "T Theoretical or Mathematical", } @Article{Bellman:1972:UA, author = "Richard Bellman and B. G. Kashef and R. Vasudevan", title = "A Useful Approximation to $e^{-t^2}$", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "233--235", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Southern California, Los Angeles, CA, USA", keywords = "differential approximation; exp(-; function approximation; sum of three exponentials; t/sup 2/)", treatment = "T Theoretical or Mathematical", } @Article{Luke:1972:MTB, author = "Yudell L. Luke", title = "Miniaturized Tables of {Bessel} Functions. {III}", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "237--240", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", corpsource = "Univ. Missouri, Kansas City, KS, USA", keywords = "Bessel functions; miniaturized tables; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Chipman:1972:NCT, author = "D. M. Chipman", title = "The numerical computation of two transcendental functions related to the exponential integral", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "241--249", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Wisconsin, Madison, WI, USA", keywords = "exponential; integral; integration; numerical computation; table of values; transcendental functions", treatment = "T Theoretical or Mathematical", } @Article{Wimp:1972:STM, author = "Jet Wimp", title = "Some Transformations of Monotone Sequences", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "251--254", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", corpsource = "Drexel Univ., Philadelphia, PA, USA", keywords = "convergent sequences; monotone sequences; numerical methods; Salzer; summing sequences; transformations", treatment = "T Theoretical or Mathematical", } @Article{Amos:1972:CMD, author = "D. E. Amos and W. G. Bulgren", title = "Computation of a Multivariate ${F}$ Distribution", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "255--264", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1140 (Probability and statistics)", corpsource = "Sandia Labs., Albuquerque, NM, USA", keywords = "integral; joint cumulative probability; multivariate F distribution; probability", treatment = "T Theoretical or Mathematical", } @Article{Shanks:1972:BCR, author = "Daniel Shanks and Mohan Lal", title = "{Bateman}'s Constants Reconsidered and the Distribution of Cubic Residues", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "265--285", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", corpsource = "Naval Ship Res. and Dev. Center, Bethesda, MD, USA", keywords = "Bateman's constants; Dedekind Zeta functions; distribution of cubic residues; numerical methods; slowly convergent infinite products", treatment = "T Theoretical or Mathematical", } @Article{Anonymous:1972:Ca, author = "Anonymous", title = "Corrigenda", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "309--309", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Bauer:1972:BFD, author = "Louis Bauer and Edward L. Reiss", title = "Block five diagonal matrices and the fast numerical solution of the biharmonic equation", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "311--326", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "New York Univ., NY, USA", keywords = "biharmonic equation; biharmonic operator; block elimination; block five diagonal matrices; boundary value problems; boundary-value problems; clamped square plate; eigenfunctions; eigenvalues; eigenvalues and eigenfunctions; factoring; fast numerical solution; matrix algebra", treatment = "T Theoretical or Mathematical", } @Article{Hayes:1972:IMN, author = "John K. Hayes and David K. Kahaner and Richard G. Kellner", title = "An Improved Method for Numerical Conformal Mapping", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "327--334", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods); C7310 (Mathematics computing)", corpsource = "Univ. California, Los Alamos, NM, USA", keywords = "complete computer programs; FORTRAN code; mathematics; numerical conformal mapping; planar region; unit disk; User's Guide", treatment = "T Theoretical or Mathematical", } @Article{Ehrlich:1972:CHE, author = "L. W. Ehrlich", title = "Coupled harmonic equations, {SOR}, and {Chebyshev} acceleration", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "335--343", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Johns Hopkins Univ., Silver Spring, MD, USA", keywords = "block