%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "3.164", %%% date = "28 October 2024", %%% time = "09:24:03 MDT", %%% filename = "toms.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 = "https://www.math.utah.edu/~beebe", %%% checksum = "60199 64048 312803 3063221", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "bibliography; mathematical software; TOMS; %%% Transactions on Mathematical Software", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a BibTeX bibliography for ACM %%% Transactions on Mathematical Software (TOMS) %%% (CODEN ACMSCU, ISSN 0098-3500 (print), %%% 1557-7295 (electronic)), completely covering %%% all issues from March 1975 -- date. All %%% papers, including editorials, policy %%% statements, remarks, and corrigenda are %%% included. %%% %%% The ACM maintains World Wide Web pages with %%% journal tables of contents for 1985--date at %%% %%% http://dl.acm.org/pub.cfm?id=J782 %%% http://toms.acm.org/ %%% http://www.acm.org/dl/toc.html %%% http://www.acm.org/toms/ %%% http://www.acm.org/pubs/contents/journals/toms/ %%% %%% Source code for all ACM Algorithms from 1960 %%% to date is available at %%% %%% http://www.acm.org/calgo/contents/ %%% %%% That data has been automatically converted to %%% BibTeX form, corrected for spelling and page %%% number errors, and merged into this file. %%% %%% At version 3.164, the COMPLETE year coverage %%% looks like this: %%% %%% 1960 ( 1) 1982 ( 34) 2004 ( 28) %%% 1961 ( 1) 1983 ( 43) 2005 ( 30) %%% 1962 ( 1) 1984 ( 46) 2006 ( 34) %%% 1963 ( 2) 1985 ( 40) 2007 ( 28) %%% 1964 ( 2) 1986 ( 34) 2008 ( 23) %%% 1965 ( 1) 1987 ( 29) 2009 ( 51) %%% 1966 ( 1) 1988 ( 40) 2010 ( 37) %%% 1967 ( 1) 1989 ( 32) 2011 ( 25) %%% 1968 ( 1) 1990 ( 34) 2012 ( 21) %%% 1969 ( 2) 1991 ( 41) 2013 ( 31) %%% 1970 ( 2) 1992 ( 36) 2014 ( 29) %%% 1971 ( 1) 1993 ( 37) 2015 ( 25) %%% 1972 ( 4) 1994 ( 38) 2016 ( 54) %%% 1973 ( 3) 1995 ( 31) 2017 ( 43) %%% 1974 ( 7) 1996 ( 33) 2018 ( 25) %%% 1975 ( 38) 1997 ( 31) 2019 ( 45) %%% 1976 ( 49) 1998 ( 31) 2020 ( 38) %%% 1977 ( 46) 1999 ( 28) 2021 ( 40) %%% 1978 ( 43) 2000 ( 33) 2022 ( 48) %%% 1979 ( 54) 2001 ( 21) 2023 ( 40) %%% 1980 ( 57) 2002 ( 24) 2024 ( 23) %%% 1981 ( 47) 2003 ( 26) %%% %%% Article: 1822 %%% Misc: 1 %%% TechReport: 1 %%% %%% Total entries: 1824 %%% %%% Abstracts, Keywords, Categories and Subject %%% Descriptors are available for some issues. %%% Eventually, this coverage should be %%% extended to the entire collection, in the %%% interests of enhancing search capabilities. %%% %%% This bibliography includes ACM Algorithms %%% 493 -- 735 (or the latest), including %%% Algorithm 568, published in ACM %%% Transactions on Programming Languages and %%% Systems (TOPLAS). For ACM Algorithms 1 -- %%% 492, see the companion bibliographies, %%% cacm1960.bib and cacm1970.bib. %%% %%% All published Remarks and Corrigenda are %%% cross-referenced in both directions, so %%% that citing a paper will automatically %%% generate citations for those Remarks and %%% Corrigenda. There is one important paper, %%% on multiple-precision integer division, %%% included from the journal Software --- %%% Practice and Experience because it is %%% cross-referenced to a TOMS paper. %%% %%% Algorithms published in Communications of %%% the ACM, prior to the founding of TOMS in %%% 1975, are also included in this %%% bibliography, if a TOMS paper contains %%% Remarks or Corrigenda for them. %%% %%% Source code for ACM Algorithms from 380 %%% onwards, with some omissions, is available %%% via netlib, and via anonymous ftp to %%% %%% ftp://netlib.bell-labs.com/netlib/toms %%% %%% ACM also markets a CD-ROM containing %%% algorithms 495 (March 1975) through 798 %%% (December 1999): the ``CALGO Special Edition %%% CD'', organized as a Web site (see entry %%% ACM:2002:CSE at the end of this file). %%% %%% The initial draft of entries for 1981 -- 1990 %%% was extracted from the ACM Computing Archive %%% CD ROM for the 1980s, with manual corrections %%% and additions from bibliographies in the TeX %%% User Group collection, the author's personal %%% bibliography files, Aake Bjoerck's %%% %%% ftp://math.liu.se/pub/references/habook.bib %%% %%% G. W. Stewart's %%% %%% ftp://thales.cs.umd.edu/pub/references/ref.bib %%% %%% John R. Rice and Richard J. Hanson's %%% Algorithm 620 (available as a BibTeX file via %%% netlib, with additions up to Algorithm 678), %%% and the very large Karlsruhe computer science %%% bibliography collection at %%% %%% ftp://ftp.ira.uka.de/pub/bibliography/ %%% %%% to which many people of have contributed. %%% %%% Math Review MRclass and MRnumber values for %%% 341 entries were supplied from a search of %%% the American Mathematical Society's %%% MathSciNet database for version 2.26 %%% [06-Dec-1996]. That search also turned up %%% a few small errors in author names and %%% title words; they have been corrected to %%% match the original journal articles. %%% %%% 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. %%% %%% Numerous heuristic checks on the validity %%% of the TOMS bibliography files have also %%% been made using software developed by the %%% author for maintenance of the TeX Users %%% Group and BibNet bibliography collections. %%% %%% Every entry from March 1975 -- June 1994 %%% has been compared directly with the article %%% cover pages in the original journal issues %%% to ensure correctness. Several errors were %%% uncovered this way in earlier sources of %%% BibTeX entries and citation data. %%% %%% Considerable effort has been expended to %%% ensure accuracy of this bibliography, %%% because it is expected to be widely used %%% and distributed. Capitalization of %%% original titles, and use of initials or %%% full names in author lists, should match %%% the journal exactly, with two exceptions. %%% (1) Algorithms have been sometimes entitled %%% ``ALGORITHM xyz...'', and sometimes %%% ``Algorithm xyz...''. The latter usage has %%% been adhered to throughout. (2) Remarks %%% and Corrigenda in the journal occasionally %%% fail to cite the full title of the original %%% paper; that has been rectified in the %%% interests of clarity and consistency. %%% %%% ACM copyrights explicitly permit abstracting %%% with credit, so article abstracts, keywords, %%% and subject classifications have been %%% included in this bibliography wherever %%% available. Article reviews have been %%% omitted, until their copyright status has %%% been clarified. %%% %%% bibsource keys in the bibliography entries %%% below indicate the entry originally came %%% from the computer science bibliography %%% archive, even though it has likely since %%% been corrected and updated. %%% %%% URL keys in the bibliography point to %%% World Wide Web locations of additional %%% information about the entry. %%% %%% 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 by the %%% author for the BibNet Project. %%% %%% In this bibliography, entries are sorted %%% by journal, and then by publication order, %%% with the help of ``bibsort -byvolume''. The %%% bibsort utility is available from %%% %%% ftp://ftp.math.utah.edu/pub/bibsort %%% %%% The author will be grateful for reports of %%% errors of any kind in this bibliography. %%% %%% 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." %%% } %%% ====================================================================

@Preamble{"\input bibnames.sty" # "\hyphenation{Cher-kas-sky Cue-vas Ka-chit-vich-yan-u-kul Rich-ard Za-bo-row-ski}" # "\ifx \undefined \booktitle \def \booktitle #1{{{\em #1}}} \fi" # "\ifx \undefined \circled \def \circled #1{(#1)} \fi" # "\ifx \undefined \k \let \k = \c \fi" # "\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}} \fi" # "\ifx \undefined \ocirc \def \ocirc #1{{\accent'27#1}} \fi" # "\ifx \undefined \pkg \def \pkg #1{{{\tt #1}}} \fi" # "\ifx \undefined \reg \def \reg {\circled{R}} \fi" # "\ifx \undefined \TM \def \TM {${}^{\sc TM}$} \fi" }

%%% ==================================================================== %%% Acknowledgement abbreviations:

@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|https://www.math.utah.edu/~beebe/|"} @String{ack-kr= "Karin Remington, Celera Genomics 45 West Gude Drive Rockville, Maryland 20850 Tel: +1 240 453-3038 FAX: +1 240 453-4375 e-mail: \path|remingka@celera.com|"} @String{ack-nj= "Norbert Juffa, 2445 Mission College Blvd. Santa Clara, CA 95054 USA email: \path=norbert@iit.com="} @String{ack-rfb= "Ronald F. Boisvert, Applied and Computational Mathematics Division, National Institute of Standards and Technology, Gaithersburg, MD 20899, USA, Tel: +1 301 975 3812, e-mail: \path=boisvert@cam.nist.gov="}

%%% ==================================================================== %%% Journal abbreviations:

@String{j-CACM= "Communications of the ACM"} @String{j-COMP-J= "The Computer Journal"} @String{j-COMP-STAT= "Computational Statistics"} @String{j-IEEE-TRANS-COMPUT= "IEEE Transactions on Computers"} @String{j-SIAM-J-SCI-COMP= "SIAM Journal on Scientific Computing"} @String{j-SPE= "Soft{\-}ware\emdash Prac{\-}tice and Experience"} @String{j-J-STAT-COMPUT-SIMUL= "Journal of Statistical Computation and Simulation"} @String{j-TOMS= "ACM Transactions on Mathematical Software"} @String{j-TOPLAS= "ACM Transactions on Programming Languages and Systems"}

%%% ==================================================================== %%% Bibliography entries from Communications of the ACM.

@Article{Ellenberger:1960:NSP, author = "K. W. Ellenberger", title = "{ACM Algorithm 30}: Numerical Solution of the Polynomial Equation", journal = j-CACM, volume = "3", number = "12", pages = "643--643", month = dec, year = "1960", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Fri Feb 07 16:37:16 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Novotny:1985:RNS}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Herndon:1961:SNF, author = "J. R. Herndon", title = "{ACM Algorithm 49}: Spherical {Neumann} Function", journal = j-CACM, volume = "4", number = "4", pages = "179--179", month = apr, year = "1961", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:50 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Coleman:1978:RSN}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Merner:1962:CEI, author = "J. N. Merner", title = "{ACM Algorithm 149}: Complete Elliptic Integral", journal = j-CACM, volume = "5", number = "12", pages = "605--605", month = dec, year = "1962", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:50 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Skovgaard:1978:RCE}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Ludwig:1963:IBR, author = "O. G. Ludwig", title = "{ACM Algorithm 179}: Incomplete Beta Ratio", journal = j-CACM, volume = "6", number = "6", pages = "314--314", month = jun, year = "1963", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:50 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Pike:1976:RIB}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Kase:1963:TOP, author = "R. H. Kase", title = "{ACM Algorithm 219}: Topological Ordering for {Pert} Networks", journal = j-CACM, volume = "6", number = "12", pages = "738--739", month = dec, year = "1963", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:51 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Tenney:1977:RTO}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Gautschi:1964:AAB, author = "W. Gautschi", title = "{ACM Algorithm 236}: {Bessel} Functions of the First Kind [{S17}]", journal = j-CACM, volume = "7", number = "8", pages = "479--480", month = aug, year = "1964", CODEN = "CACMA2", DOI = "https://doi.org/10.1145/355586.355587", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Fri Nov 25 18:19:55 MST 2005", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/journals/cacm/; https://www.math.utah.edu/pub/tex/bib/cacm1960.bib; https://www.math.utah.edu/pub/tex/bib/cacm1970.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See remark \cite{Skovgaard:1975:RBF}.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "$J_n(x)$; Bessel functions of the first kind; special functions", } @Article{Boothroyd:1964:G, author = "J. Boothroyd", title = "{ACM Algorithm 246}: {Graycode}", journal = j-CACM, volume = "7", number = "12", pages = "701--701", month = dec, year = "1964", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Sat Sep 10 09:12:22 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Misra:1975:RG,Er:1985:RG}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Gautschi:1965:LFA, author = "W. Gautschi", title = "{ACM Algorithm 259}: {Legendre} Functions for Arguments Larger than One", journal = j-CACM, volume = "8", number = "8", pages = "488--492", month = aug, year = "1965", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:54 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Jansen:1977:RLF}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Fletcher:1966:ITB, author = "W. Fletcher", title = "{ACM Algorithm 284}: Interchange of Two Blocks of Data", journal = j-CACM, volume = "9", number = "5", pages = "326--326", month = may, year = "1966", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:54 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Ito:1976:RIT}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Hill:1967:CSI, author = "I. D. Hill and M. C. Pike", title = "{ACM Algorithm 299}: Chi-Squared Integral", journal = j-CACM, volume = "10", number = "4", pages = "243--244", month = apr, year = "1967", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:54 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{elLozy:1976:RAC,Hill:1985:RCS}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Bell:1968:NRD, author = "J. R. Bell", title = "{ACM Algorithm 334}: Normal Random Deviates", journal = j-CACM, volume = "11", number = "7", pages = "498--498", month = jul, year = "1968", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:54 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Tracht:1982:RNR}.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Morris:1969:TP, author = "J. Morris", title = "{ACM Algorithm 346}: ${F}$-Test Probabilities", journal = j-CACM, volume = "12", number = "3", pages = "184--185", month = mar, year = "1969", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:54 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Cormack:1988:RTP}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{TadeudeMedeiros:1969:APF, author = "A. {Tadeu de Medeiros} and G. Schwachheim", title = "{Algorithm 349}: Polygamma functions with arbitrary precision", journal = j-CACM, volume = "12", number = "4", pages = "213--214", month = apr, year = "1969", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Fri Jun 16 10:30:24 2000", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See certification \cite{Lewis:1975:CPF}.", acknowledgement = ack-nhfb, classcodes = "C7300 (Natural sciences computing)", corpsource = "Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro, Brazil", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", keywords = "mathematics; subroutines", } @Article{Hill:1970:SD, author = "G. W. Hill", title = "{ACM Algorithm 395}: {Student}'s $t$-Distribution", journal = j-CACM, volume = "13", number = "10", pages = "617--619", month = oct, year = "1970", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:54 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{elLozy:1979:RAS,Hill:1981:RSD}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Hill:1970:SQ, author = "G. W. Hill", title = "{ACM Algorithm 396}: {Student}'s $t$-Quantiles", journal = j-CACM, volume = "13", number = "10", pages = "619--620", month = oct, year = "1970", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Apr 29 15:20:10 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See remarks \cite{Hill:1981:RSD,Hill:1981:RSQ,elLozy:1979:RAS}.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{McNamee:1971:SMP, author = "J. M. McNamee", title = "{ACM Algorithm 408}: a Sparse Matrix Package ({Part I})", journal = j-CACM, volume = "14", number = "4", pages = "265--273", month = apr, year = "1971", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:54 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Sipala:1977:RSM,Gustavson:1978:RSM,Harms:1980:RSM}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Gentleman:1972:CCQ, author = "W. M. Gentleman", title = "{ACM Algorithm 424}: {Clenshaw--Curtis} Quadrature", journal = j-CACM, volume = "15", number = "5", pages = "353--355", month = may, year = "1972", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:54 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Geddes:1979:RCC}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Akima:1972:ISC, author = "H. Akima", title = "{ACM Algorithm 433}: Interpolation and Smooth Curve Fitting Based on Local Procedures", journal = j-CACM, volume = "15", number = "10", pages = "914--918", month = oct, year = "1972", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:55 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Anderson:1976:RIS}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{March:1972:EPT, author = "D. L. March", title = "{ACM Algorithm 434}: Exact Probabilities for ${R\times{C}}$ Contingency Tables", journal = j-CACM, volume = "15", number = "11", pages = "991--992", month = nov, year = "1972", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Fri Sep 09 14:13:19 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Boulton:1976:REP}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Fullerton:1972:MIG, author = "W. Fullerton", title = "{ACM Algorithm 435}: Modified Incomplete Gamma Function", journal = j-CACM, volume = "15", number = "11", pages = "993--995", month = nov, year = "1972", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:55 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Schoene:1978:RMI}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{MacHura:1973:RFM, author = "M. MacHura and A. Mulawa", title = "{ACM Algorithm 450}: {Rosenbrock} Function Minimization", journal = j-CACM, volume = "16", number = "8", pages = "482--483", month = aug, year = "1973", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:55 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Davies:1976:RRF}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Brenner:1973:MTP, author = "N. Brenner", title = "{ACM Algorithm 467}: Matrix Transposition in Place", journal = j-CACM, volume = "16", number = "11", pages = "692--694", month = nov, year = "1973", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:55 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Leathers:1979:RAS}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Akima:1974:BIS, author = "H. Akima", title = "{ACM Algorithm 474}: Bivariate Interpolation and Smooth Surface Fitting Based on Local Procedures", journal = j-CACM, volume = "17", number = "1", pages = "26--31", month = jan, year = "1974", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:56 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Anderson:1979:RBI}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Loeser:1974:SPT, author = "R. Loeser", title = "Some Performance Tests of `Quicksort' and Descendants", journal = j-CACM, volume = "17", number = "3", pages = "143--152", month = mar, year = "1974", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Apr 29 15:23:43 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See remark \cite{Mackay:1977:RPT}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Wright:1974:VSP, author = "T. Wright", title = "{ACM Algorithm 475}: Visible Surface Plotting Program", journal = j-CACM, volume = "17", number = "3", pages = "152--155", month = mar, year = "1974", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:57 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Duta:1976:RVS,vanSwieten:1979:RAV}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Page:1974:MST, author = "R. L. Page", title = "{ACM Algorithm 479}: a Minimal Spanning Tree Clustering Method", journal = j-CACM, volume = "17", number = "6", pages = "321--323", month = jun, year = "1974", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:57 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{White:1976:RMS}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Watkins:1974:MTD, author = "S. L. Watkins", title = "{ACM Algorithm 483}: Masked Three-Dimensional Plot Program with Rotations", journal = j-CACM, volume = "17", number = "9", pages = "520--523", month = sep, year = "1974", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:57 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Feinstein:1975:RMT}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Veillon:1974:NIL, author = "F. Veillon", title = "{ACM Algorithm 486}: Numerical Inversion of {Laplace} Transform", journal = j-CACM, volume = "17", number = "10", pages = "587--589", month = oct, year = "1974", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:57 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Koppelaar:1976:RNI,Veillon:1977:RNI}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Pomeranz:1974:ECD, author = "J. Pomeranz", title = "{ACM Algorithm 487}: Exact Cumulative Distribution of the {Kolmogorov--Smirnov} Statistic for Small Samples", journal = j-CACM, volume = "17", number = "12", pages = "703--704", month = dec, year = "1974", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:57 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Pomeranz:1976:REC}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Floyd:1975:ASF, author = "R. W. Floyd and R. L. Rivest", title = "{ACM Algorithm 489}: The Algorithm {SELECT} --- for Finding the $i{\rm th}$ Smallest of $n$ Elements", journal = j-CACM, volume = "18", number = "3", pages = "173--173", month = mar, year = "1975", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Wed Dec 04 12:25:43 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Brown:1976:RAS}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Ginsberg:1975:DFR, author = "E. S. Ginsberg and D. Zaborowski", title = "{ACM Algorithm 490}: The Dilogarithm Function of a Real Argument", journal = j-CACM, volume = "18", number = "4", pages = "200--202", month = apr, year = "1975", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 09:47:57 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Morris:1976:RDF}.", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/toms", }

%%% ==================================================================== %%% Bibliography entries from IEEE Transactions on Computers

@Article{Kramer:1998:PWC, author = "W. Kr{\"a}mer", title = "A priori worst case error bounds for floating-point computations", journal = j-IEEE-TRANS-COMPUT, volume = "47", number = "7", pages = "750--756", month = jul, year = "1998", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.709374", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Wed Jul 6 09:35:55 MDT 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1990.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Tang:1992:TDI}.", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=709374", abstract = "A new technique for the a priori calculation of rigorous error bounds for floating-point computations is introduced. The theorems given in the paper combined with interval arithmetic lead to the implementation of reliable software routines, which enable the user to compute the desired error bounds automatically by a suitable computer program. As a prominent example, a table-lookup algorithm for calculating the function $exp(x) - 1$ that has been published by P. T. P. Tang (1992) is analyzed using these new tools. The result shows the high quality of the new approach", acknowledgement = ack-nhfb, author-dates = "1952--2014 (WK)", fjournal = "IEEE Transactions on Computers", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", }

%%% ==================================================================== %%% Bibliography entries from Software---Practice and Experience

@Article{BrinchHansen:1994:MLD, author = "Per {Brinch Hansen}", title = "Multiple-length Division Revisited: a Tour of the Minefield", journal = j-SPE, volume = "24", number = "6", pages = "579--601", month = jun, year = "1994", CODEN = "SPEXBL", ISSN = "0038-0644 (print), 1097-024X (electronic)", ISSN-L = "0038-0644", bibdate = "Thu Apr 29 15:16:58 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "This paper derives an algorithm for division of long integers, and implements it as a literate program, although without identifier cross-references. See also related work \cite{Regener:1984:MID} on division.", acknowledgement = ack-nhfb, fjournal = "Soft{\-}ware\emdash Prac{\-}tice and Experience", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-024X", }

%%% ==================================================================== %%% Bibliography entries from ACM Transactions on Mathematical Software.

@Article{Rice:1975:PS, author = "John R. Rice", title = "Purpose and Scope", journal = j-TOMS, volume = "1", number = "1", pages = "1--3", month = mar, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355626.355627", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Sep 05 21:29:05 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Anonymous:1975:ADS, author = "{Anonymous}", title = "Algorithms Distribution Service", journal = j-TOMS, volume = "1", number = "1", pages = "4--4", month = mar, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355626.355628", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Sep 05 21:29:05 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://doi.acm.org/10.1145/355626.355628; http://www.acm.org/pubs/citations/journals/toms/1975-1-1/p4-no_author/", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Fosdick:1975:AP, author = "Lloyd D. Fosdick", title = "Algorithms Policy", journal = j-TOMS, volume = "1", number = "1", pages = "5--6", month = mar, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355626.355629", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Sep 05 21:29:05 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Anonymous:1975:PMS, author = "{Anonymous}", title = "Papers from {Mathematical Software II}", journal = j-TOMS, volume = "1", number = "1", pages = "7--12", month = mar, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355626.355630", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Sep 05 21:29:05 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://doi.acm.org/10.1145/355626.355630; http://www.acm.org/pubs/citations/journals/toms/1975-1-1/p7-no_author/", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Cody:1975:FPS, author = "W. J. Cody", title = "The {FUNPACK} Package of Special Function Subroutines", journal = j-TOMS, volume = "1", number = "1", pages = "13--25", month = mar, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355626.355631", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Aug 26 23:44:16 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Jenkins:1975:PTP, author = "M. A. Jenkins and J. F. Traub", title = "Principles for Testing Polynomial Zerofinding Programs", journal = j-TOMS, volume = "1", number = "1", pages = "26--34", month = mar, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355626.355632", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "68A10 (65H05)", MRnumber = "53 #2009", bibdate = "Fri Aug 26 23:44:16 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "James Howland", } @Article{Parlett:1975:ICC, author = "B. N. Parlett and Y. Wang", title = "The Influence of the Compiler on the Cost of Mathematical Software\emdash in Particular on the Cost of Triangular Factorization", journal = j-TOMS, volume = "1", number = "1", pages = "35--46", month = mar, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355626.355633", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Aug 26 23:35:13 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "cs; lud; nla; software", } @Article{Glover:1975:RWA, author = "Fred Glover and Darwin Klingman", title = "Real World Applications of Network Related Problems and Breakthroughs in Solving Them Efficiently", journal = j-TOMS, volume = "1", number = "1", pages = "47--55", month = mar, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355626.355634", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Aug 26 23:44:16 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Ng:1975:CCM, author = "Edward W. Ng", title = "A Comparison of Computational Methods and Algorithms for the Complex Gamma Function", journal = j-TOMS, volume = "1", number = "1", pages = "56--70", month = mar, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355626.355635", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D20", MRnumber = "52 #2148", bibdate = "Fri Aug 26 23:44:16 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "R. H. Bartels", } @Article{Byrne:1975:PNS, author = "G. D. Byrne and A. C. Hindmarsh", title = "A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations", journal = j-TOMS, volume = "1", number = "1", pages = "71--96", month = mar, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355626.355636", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L99 (68A10)", MRnumber = "51 #14600", bibdate = "Fri Aug 26 23:44:16 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Sean McKee", } @Article{Powell:1975:VUM, author = "M. J. D. Powell", title = "A View of Unconstrained Minimization Algorithms that Do Not Require Derivatives", journal = j-TOMS, volume = "1", number = "2", pages = "97--107", month = jun, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355637.355638", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "(Reviewer: R. P. Brent (CR {17} \#29471)) 65K05", MRnumber = "53 #14908", bibdate = "Sat Dec 20 10:45:23 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Miller:1975:SRA, author = "Webb Miller", title = "Software for Roundoff Analysis", journal = j-TOMS, volume = "1", number = "2", pages = "108--128", month = jun, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355637.355639", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65G05", MRnumber = "53 #9622", bibdate = "Fri Aug 26 23:44:16 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "James H. Wilkinson", } @Article{Malcolm:1975:LVG, author = "Michael A. Malcolm and R. Bruce Simpson", title = "Local Versus Global Strategies for Adaptive Quadrature", journal = j-TOMS, volume = "1", number = "2", pages = "129--146", month = jun, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355637.355640", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D30", MRnumber = "51 #7248", bibdate = "Fri Aug 26 23:44:16 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Thomas A. Atchison", } @Article{Stoutemyer:1975:AOU, author = "David R. Stoutemyer", title = "Analytical Optimization Using Computer Algebraic Manipulation", journal = j-TOMS, volume = "1", number = "2", pages = "147--164", month = jun, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355637.355641", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "90C99", MRnumber = "58 #4363", bibdate = "Fri Aug 26 23:44:16 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Barinka:1975:SEC, author = "Lawrence L. Barinka", title = "Some Experience with Constructing, Testing, and Certifying a Standard Mathematical Subroutine Library", journal = j-TOMS, volume = "1", number = "2", pages = "165--177", month = jun, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355637.355642", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Aug 26 23:44:16 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Jenkins:1975:AZR, author = "M. A. Jenkins", title = "{Algorithm 493}: Zeros of a Real Polynomial [{C2}]", journal = j-TOMS, volume = "1", number = "2", pages = "178--189", month = jun, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355637.355643", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 00:27:23 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Rice:1975:SPP, author = "John R. Rice", title = "Software Package Policy", journal = j-TOMS, volume = "1", number = "3", pages = "193--195", month = sep, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355644.355645", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Aug 26 23:44:16 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Bailey:1975:UAM, author = "Carl B. Bailey and Rondall E. Jones", title = "Usage and Argument Monitoring of Mathematical Library Routines", journal = j-TOMS, volume = "1", number = "3", pages = "196--209", month = sep, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355644.355646", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Aug 26 23:44:16 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{George:1975:ARR, author = "James E. George", title = "Algorithms to Reveal the Representation of Characters, Integers, and Floating-Point Numbers", journal = j-TOMS, volume = "1", number = "3", pages = "210--216", month = sep, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355644.355647", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Aug 26 23:44:16 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Aird:1975:CAU, author = "T. J. Aird and Robert E. Lynch", title = "Computable Accurate Upper and Lower Error Bounds for Approximate Solutions of Linear Algebraic Systems", journal = j-TOMS, volume = "1", number = "3", pages = "217--231", month = sep, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355644.355648", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F35", MRnumber = "52 #2176", bibdate = "Fri Aug 26 23:44:16 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Ian Gladwell", } @Article{Sincovec:1975:SNP, author = "Richard F. Sincovec and Niel K. Madsen", title = "Software for Nonlinear Partial Differential Equations", journal = j-TOMS, volume = "1", number = "3", pages = "232--260", month = sep, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355644.355649", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Aug 26 23:44:16 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Sincovec:1975:APS, author = "Richard F. Sincovec and Niel K. Madsen", title = "{Algorithm 494}: {PDEONE}, Solutions of Systems of Partial Differential Equations [{D3}]", journal = j-TOMS, volume = "1", number = "3", pages = "261--263", month = sep, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355644.355650", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 18:06:09 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Barrodale:1975:ASO, author = "I. Barrodale and C. Phillips", title = "{Algorithm 495}: Solution of an Overdetermined System of Linear Equations in the {Chebychev} Norm [{F4}]", journal = j-TOMS, volume = "1", number = "3", pages = "264--270", month = sep, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355644.355651", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 16:10:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Chebyshev approximation; nla", } @Article{Kaufman:1975:ALA, author = "Linda Kaufman", title = "{Algorithm 496}: The {LZ} Algorithm to Solve the Generalized Eigenvalue Problem for Complex Matrices [{F2}]", journal = j-TOMS, volume = "1", number = "3", pages = "271--281", month = sep, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355644.355652", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Thu Apr 29 15:21:30 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See remark \cite{Kaufman:1976:RLA}.", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Skovgaard:1975:RBF, author = "Ove Skovgaard", title = "Remark on ``{Algorithm 236}: {Bessel} Functions of the First Kind [{S17}]''", journal = j-TOMS, volume = "1", number = "3", pages = "282--284", month = sep, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355644.355653", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:27:11 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Gautschi:1964:AAB}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Feinstein:1975:RMT, author = "Robert Feinstein", title = "Remark on ``{Algorithm 483}: Masked Three-Dimensional Plot Program with Rotations [{J6}]''", journal = j-TOMS, volume = "1", number = "3", pages = "285--285", month = sep, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355644.355654", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:27:09 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Watkins:1974:MTD}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Misra:1975:RG, author = "Jayadev Misra", title = "Remark on ``{Algorithm 246}: {Graycode} [{Z}]''", journal = j-TOMS, volume = "1", number = "3", pages = "285--285", month = sep, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355644.356449", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Sep 05 20:42:41 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Boothroyd:1964:G,Er:1985:RG}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Stone:1975:PTE, author = "Harold S. Stone", title = "Parallel Tridiagonal Equation Solvers", journal = j-TOMS, volume = "1", number = "4", pages = "289--307", month = dec, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355656.355657", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "68A10 (68A20)", MRnumber = "52 #9676", bibdate = "Fri Aug 26 23:35:17 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "nla; prll; tridiagonal matrix", reviewer = "V. A. Valkovskii", } @Article{Lambiotte:1975:STL, author = "Jules J. {Lambiotte, Jr.} and Robert G. Voigt", title = "The Solution of Tridiagonal Linear Systems on the {CDC STAR 100} Computer", journal = j-TOMS, volume = "1", number = "4", pages = "308--329", month = dec, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355656.355658", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "68A10 (68A20)", MRnumber = "52 #9677", bibdate = "Sat Aug 27 00:20:57 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "linear system; nla; tridiagonal matrix; vect", reviewer = "V. A. Valkovskii", } @Article{Bus:1975:TEA, author = "J. C. P. Bus and T. J. Dekker", title = "Two Efficient Algorithms with Guaranteed Convergence for Finding a Zero of a Function", journal = j-TOMS, volume = "1", number = "4", pages = "330--345", month = dec, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355656.355659", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65H05", MRnumber = "52 #7112", bibdate = "Fri Aug 26 23:12:30 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "nlop", reviewer = "Ian Gladwell", } @Article{Norman:1975:CFP, author = "A. C. Norman", title = "Computing with Formal Power Series", journal = j-TOMS, volume = "1", number = "4", pages = "346--356", month = dec, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355656.355660", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 00:22:26 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Neves:1975:AIF, author = "Kenneth W. Neves", title = "Automatic Integration of Functional Differential Equations: An Approach", journal = j-TOMS, volume = "1", number = "4", pages = "357--368", month = dec, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355656.355661", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65Q05", MRnumber = "52 #7171", bibdate = "Sat Aug 27 00:22:51 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "W. C. Rheinboldt", } @Article{Neves:1975:AAI, author = "Kenneth W. Neves", title = "{Algorithm 497}: Automatic Integration of Functional Differential Equations [{D2}]", journal = j-TOMS, volume = "1", number = "4", pages = "369--371", month = dec, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355656.355662", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 00:24:04 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Prince:1975:AAF, author = "P. J. Prince", title = "{Algorithm 498}: {Airy} Functions Using {Chebyshev} Series Approximations", journal = j-TOMS, volume = "1", number = "4", pages = "372--379", month = dec, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355656.355663", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 00:24:33 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Razaz:1981:RAF}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Lewis:1975:CPF, author = "John Gregg Lewis", title = "Certification of ``{Algorithm 349}: Polygamma Functions with Arbitrary Precision''", journal = j-TOMS, volume = "1", number = "4", pages = "380--381", month = dec, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355656.355664", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Mar 28 11:10:19 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{TadeudeMedeiros:1969:APF}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Bromage:1975:CVS, author = "Gordon E. Bromage", title = "Certification of ``{Algorithm 475}: Visible Surface Plotting Program [{J6}]''", journal = j-TOMS, volume = "1", number = "4", pages = "381--382", month = dec, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355656.355665", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 00:22:51 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Rice:1976:PAA, author = "John R. Rice", title = "Parallel Algorithms for Adaptive Quadrature. {III}. Program Correctness", journal = j-TOMS, volume = "2", number = "1", pages = "1--30", month = mar, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355666.355667", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D30 (68A10)", MRnumber = "54 #9058c", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Frederick N. Fritsch", } @Article{Griss:1976:ASS, author = "Martin L. Griss", title = "The Algebraic Solution of Sparse Linear Systems via Minor Expansion", journal = j-TOMS, volume = "2", number = "1", pages = "31--49", month = mar, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355666.355668", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F05", MRnumber = "54 #4073", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Charles R. Johnson", } @Article{Duris:1976:GCP, author = "Charles S. Duris", title = "Generating and Compounding Product-Type {Newton-Coates} Quadrature Formulas", journal = j-TOMS, volume = "2", number = "1", pages = "50--58", month = mar, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355666.355669", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D30", MRnumber = "53 #1919", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Thomas A. Atchison", } @Article{Bays:1976:IPR, author = "Carter Bays and S. D. Durham", title = "Improving a Poor Random Number Generator", journal = j-TOMS, volume = "2", number = "1", pages = "59--64", month = mar, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355666.355670", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Lyness:1976:CNA, author = "J. N. Lyness and J. J. Kaganove", title = "Comments on the Nature of Automatic Quadrature Routines", journal = j-TOMS, volume = "2", number = "1", pages = "65--81", month = mar, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355666.355671", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D30", MRnumber = "53 #1921", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Henning Esser", } @Article{Kinsner:1976:AES, author = "W. Kinsner and E. Della Torre", title = "{Algorithm 499}: An Efficient Scanning Technique [{Z}]", journal = j-TOMS, volume = "2", number = "1", pages = "82--86", month = mar, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355666.355672", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 00:35:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Shanno:1976:AMU, author = "D. F. Shanno and K. H. Phua", title = "{Algorithm 500}: Minimization of Unconstrained Multivariate Functions [{E4}]", journal = j-TOMS, volume = "2", number = "1", pages = "87--94", month = mar, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355666.355673", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Thu Apr 29 15:25:28 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See remarks \cite{Dunham:1977:RMU,Shanno:1980:RMU}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Simpson:1976:AFT, author = "Joseph C. Simpson", title = "{Algorithm 501}: {Fortran} Translation of {Algorithm 409}, Discrete {Chebychev} Curve Fit [{E2}]", journal = j-TOMS, volume = "2", number = "1", pages = "95--97", month = mar, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355666.355674", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Sep 05 23:07:07 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See remark \cite{Futrell:1978:RTA}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Kubicek:1976:ADS, author = "Milan Kub{\'\i}{\v{c}}ek", title = "{Algorithm 502}: Dependence of Solution of Nonlinear Systems on a Parameter [{C5}]", journal = j-TOMS, volume = "2", number = "1", pages = "98--107", month = mar, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355666.355675", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 18:03:58 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://doi.acm.org/10.1145/355666.355675; http://www.acm.org/pubs/citations/journals/toms/1976-2-1/p98-kubiviek/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Boulton:1976:REP, author = "D. M. Boulton", title = "Remark on ``{Algorithm 434}: Exact Probabilities for ${R}\times{C}$ Contingency Tables [{G2}]''", journal = j-TOMS, volume = "2", number = "1", pages = "108--108", month = mar, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355666.355676", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:27:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{March:1972:EPT}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Duta:1976:RVS, author = "Lucian D. Duta", title = "Remark on ``{Algorithm 475}: Visible Surface Plotting Program [{J6}]''", journal = j-TOMS, volume = "2", number = "1", pages = "109--110", month = mar, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355666.355677", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:27:22 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Wright:1974:VSP}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{White:1976:RMS, author = "G. M. White and S. Goudreau and J. L. Legros", title = "Remark on ``{Algorithm 479}: a Minimal Spanning Tree Clustering Method [{Z}]''", journal = j-TOMS, volume = "2", number = "1", pages = "110--111", month = mar, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355666.355678", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:27:24 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Page:1974:MST}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Pomeranz:1976:REC, author = "J. Pomeranz", title = "Remark on ``{Algorithm 487}: Exact Cumulative Distribution of the {Kolmogorov--Smirnov} Statistic for Small Samples [{S14}]''", journal = j-TOMS, volume = "2", number = "1", pages = "111--111", month = mar, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355666.355679", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:27:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Pomeranz:1974:ECD}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Morris:1976:RDF, author = "Robert Morris", title = "Remark on ``{Algorithm 490}: The Dilogarithm Function of a Real Argument [{S22}]''", journal = j-TOMS, volume = "2", number = "1", pages = "112--112", month = mar, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355666.355680", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:27:18 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Ginsberg:1975:DFR}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Rice:1976:TPS, author = "John R. Rice", title = "{TOMS} Policy Statement: The Rights of Program Authors in the Evaluation of Programs", journal = j-TOMS, volume = "2", number = "2", pages = "113--114", month = jun, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355681.355682", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Ford:1976:DSN, author = "B. Ford and D. K. Sayers", title = "Developing a Single Numerical Algorithms Library for Different Machine Ranges", journal = j-TOMS, volume = "2", number = "2", pages = "115--131", month = jun, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355681.355683", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Paul:1976:SEF, author = "George Paul and M. Wayne Wilson", title = "Should the Elementary Function Library Be Incorporated Into Computer Instruction Sets?", journal = j-TOMS, volume = "2", number = "2", pages = "132--142", month = jun, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355681.355684", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Janko:1976:LIS, author = "Wolfgang Janko", title = "A List Insertion Sort for Keys With Arbitrary Key Distribution", journal = j-TOMS, volume = "2", number = "2", pages = "143--153", month = jun, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355681.355685", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Atkinson:1976:APL, author = "Kendall Atkinson", title = "An Automatic Program for Linear {Fredholm} Integral Equations of the Second Kind", journal = j-TOMS, volume = "2", number = "2", pages = "154--171", month = jun, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355681.355686", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65R05", MRnumber = "54 #6528", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Christopher T. H. Baker", } @Article{Shampine:1976:GEE, author = "L. F. Shampine and H. A. Watts", title = "Global Error Estimates for Ordinary Differential Equations", journal = j-TOMS, volume = "2", number = "2", pages = "172--186", month = jun, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355681.355687", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05", MRnumber = "54 #1621", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "J. Hurt", } @Article{Ericksen:1976:ICP, author = "J. H. Ericksen and R. Wilhelmson", title = "Implementation of a Convective Problem Requiring Auxiliary Storage", journal = j-TOMS, volume = "2", number = "2", pages = "187--195", month = jun, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355681.355688", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 10:18:18 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Atkinson:1976:AAP, author = "Kendall Atkinson", title = "{Algorithm 503}: An Automatic Program for {Fredholm} Integral Equations of the Second Kind [{D5}]", journal = j-TOMS, volume = "2", number = "2", pages = "196--199", month = jun, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355681.355689", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 00:51:30 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Shampine:1976:AGG, author = "L. F. Shampine and H. A. Watts", title = "{Algorithm 504}: {GERK}: Global Error Estimation For Ordinary Differential Equations [{D}]", journal = j-TOMS, volume = "2", number = "2", pages = "200--203", month = jun, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355681.355690", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 00:52:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Janko:1976:ALI, author = "Wolfgang Janko", title = "{Algorithm 505}: a List Insertion Sort for Keys with Arbitrary Key Distribution [{S20}]", journal = j-TOMS, volume = "2", number = "2", pages = "204--206", month = jun, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355681.355691", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 00:52:49 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Pike:1976:RIB, author = "Malcolm C. Pike and Jennie SooHoo and N. E. Bosten", title = "Remark on ``{Algorithm 179}: Incomplete Beta Ratio [{S14}]''", journal = j-TOMS, volume = "2", number = "2", pages = "207--208", month = jun, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355681.355692", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:27:26 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Ludwig:1963:IBR}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Anderson:1976:RIS, author = "Michael R. Anderson", title = "Remark on ``{Algorithm 433}: Interpolation and Smooth Curve Fitting Based on Local Procedures [{E2}]''", journal = j-TOMS, volume = "2", number = "2", pages = "208--208", month = jun, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355681.355693", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:27:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Akima:1972:ISC}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Wyatt:1976:PEP, author = "W. T. {Wyatt, Jr.} and D. W. Lozier and D. J. Orser", title = "A Portable Extended Precision Arithmetic Package and Library With {Fortran} Precompiler", journal = j-TOMS, volume = "2", number = "3", pages = "209--231", month = sep, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355694.355695", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://doi.acm.org/10.1145/355694.355695; http://www.acm.org/pubs/citations/journals/toms/1976-2-3/p209-lozier/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Gentleman:1976:AAC, author = "W. M. Gentleman and S. C. Johnson", title = "Analysis of Algorithms, a Case Study: Determinants of Matrices with Polynomial Entries", journal = j-TOMS, volume = "2", number = "3", pages = "232--241", month = sep, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355694.355696", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F30", MRnumber = "54 #1575", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "K. Moszynski", } @Article{Barwell:1976:CAS, author = "Victor Barwell and Alan George", title = "A Comparison of Algorithms for Solving Symmetric Indefinite Systems of Linear Equations", journal = j-TOMS, volume = "2", number = "3", pages = "242--251", month = sep, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355694.355697", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F05", MRnumber = "54 #6472", bibdate = "Fri Aug 26 23:35:17 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "indefinite system; linear system; nla; symmetric matrix", reviewer = "F. Szidarovszky", } @Article{Bartels:1976:HIU, author = "Richard Bartels and Alec Steingart", title = "{Hermite} Interpolation Using a Triangular Polynomial Basis", journal = j-TOMS, volume = "2", number = "3", pages = "252--256", month = sep, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355694.355698", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D15 (65D20)", MRnumber = "55 #4602", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Hwa-Shan Ho", } @Article{Hall:1976:NSS, author = "C. A. Hall and R. W. Luczak and A. G. Serdy", title = "Numerical Solution of Steady State Heat Flow Problems Over Curved Domains", journal = j-TOMS, volume = "2", number = "3", pages = "257--274", month = sep, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355694.355699", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65N10", MRnumber = "54 #4135", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Stephen Hilbert", } @Article{Stewart:1976:AHE, author = "G. W. Stewart", title = "{Algorithm 506}: {HQR3} and {EXCHNG}: {Fortran} Subroutines for Calculating and Ordering the Eigenvalues of a Real Upper {Hessenberg} Matrix [{F2}]", journal = j-TOMS, volume = "2", number = "3", pages = "275--280", month = sep, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355694.355700", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 18:03:53 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Flamm:1982:RHE}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "eig; Hessenberg matrix; nla; QR algorithm; software", } @Article{Herriot:1976:APQ, author = "John G. Herriot and Christian H. Reinsch", title = "{Algorithm 507}: Procedures for Quintic Natural Spline Interpolation [{E1}]", journal = j-TOMS, volume = "2", number = "3", pages = "281--289", month = sep, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355694.355701", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 01:01:50 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Hanson:1982:RPQ}.", acknowledgement = ack-nhfb, author-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022)", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Loeser:1976:SAQ, author = "Rudolf Loeser", title = "Survey on Algorithms 347, 426, and Quicksort", journal = j-TOMS, volume = "2", number = "3", pages = "290--299", month = sep, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355694.355702", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Davies:1976:RRF, author = "Alan M. Davies", title = "Remark on ``{Algorithm 450}: {Rosenbrock} Function Minimization [{E4}]''", journal = j-TOMS, volume = "2", number = "3", pages = "300--301", month = sep, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355694.355703", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:27:28 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{MacHura:1973:RFM}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Brown:1976:RAS, author = "Theodore Brown", title = "Remark on ``{Algorithm 489}: The Algorithm {SELECT}\emdash for Finding the $i$th Smallest of $n$ Elements [{M1}]''", journal = j-TOMS, volume = "2", number = "3", pages = "301--304", month = sep, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355694.355704", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:27:31 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Floyd:1975:ASF}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Pavlidis:1976:UAP, author = "Theodosios Pavlidis", title = "The Use of Algorithms of Piecewise Approximations for Picture Processing Applications", journal = j-TOMS, volume = "2", number = "4", pages = "305--321", month = dec, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355705.355706", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Gibbs:1976:CSB, author = "Norman E. Gibbs and William G. {Poole Jr.} and Paul K. Stockmeyer", title = "A Comparison of Several Bandwidth and Profile Reduction Algorithms", journal = j-TOMS, volume = "2", number = "4", pages = "322--330", month = dec, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355705.355707", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 01:07:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "band matrix; band reduction; nla; profile reduction; sparse", } @Article{Mahendrarajah:1976:CTA, author = "A. Mahendrarajah and F. Fiala", title = "A Comparison of Three Algorithms for Linear Zero-One Programs", journal = j-TOMS, volume = "2", number = "4", pages = "331--334", month = dec, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355705.355708", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 01:08:17 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Weinberger:1976:FPA, author = "P. J. Weinberger and L. P. Rothschild", title = "Factoring Polynomials Over Algebraic Number Fields", journal = j-TOMS, volume = "2", number = "4", pages = "335--350", month = dec, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355705.355709", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "12A20 (12-04)", MRnumber = "56 #8521", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "I. Gerst", } @Article{Pinkert:1976:EMF, author = "James R. Pinkert", title = "An Exact Method for Finding the Roots of a Complex Polynomial", journal = j-TOMS, volume = "2", number = "4", pages = "351--363", month = dec, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355705.355710", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "12-04 (12D10 30A08 65H05)", MRnumber = "56 #299", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "E. Frank", } @Article{Rubin:1976:PI, author = "Frank Rubin", title = "Partition of Integers", journal = j-TOMS, volume = "2", number = "4", pages = "364--374", month = dec, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355705.355711", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "68A10 (05A17 10A45)", MRnumber = "57 #4605", bibdate = "Sat Aug 27 00:30:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "S. Zaks", } @Article{Crane:1976:AMB, author = "H. L. {Crane Jr.} and Norman E. Gibbs and William G. {Poole Jr.} and Paul K. Stockmeyer", title = "{Algorithm 508}: Matrix Bandwidth and Profile Reduction [{F1}]", journal = j-TOMS, volume = "2", number = "4", pages = "375--377", month = dec, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355705.355712", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 01:11:54 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Lewis:1982:RMB}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Gibbs:1976:AHP, author = "Norman E. Gibbs", title = "{Algorithm 509}: a Hybrid Profile Reduction Algorithm [{F1}]", journal = j-TOMS, volume = "2", number = "4", pages = "378--387", month = dec, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355705.355713", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 01:11:35 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Lewis:1982:RMB}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Wilson:1976:APL, author = "D. G. Wilson", title = "{Algorithm 510}: Piecewise Linear Approximation to Tabulated Data [{E2}]", journal = j-TOMS, volume = "2", number = "4", pages = "388--391", month = dec, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355705.355714", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 01:12:13 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Ito:1976:RIT, author = "M. R. Ito", title = "Remark on ``{Algorithm 284}: Interchange of Two Blocks of Data [{K2}]''", journal = j-TOMS, volume = "2", number = "4", pages = "392--393", month = dec, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355705.355715", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:27:34 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Fletcher:1966:ITB}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{elLozy:1976:RAC, author = "Mohamed {el Lozy}", title = "Remark on ``{Algorithm 299}: Chi-Squared Integral [{S15}]''", journal = j-TOMS, volume = "2", number = "4", pages = "393--395", month = dec, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355705.355716", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Mar 28 11:04:46 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Hill:1967:CSI,Hill:1985:RCS}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Koppelaar:1976:RNI, author = "Henk Koppelaar and Peter Molenaar", title = "Remark on ``{Algorithm 486}: Numerical Inversion of {Laplace} Transform [{D5}]''", journal = j-TOMS, volume = "2", number = "4", pages = "395--396", month = dec, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355705.355717", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Thu Apr 29 15:27:20 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Veillon:1974:NIL,Piessens:1984:RNI}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Kaufman:1976:RLA, author = "Linda Kaufman", title = "Remark on ``{Algorithm 496}: The {LZ} Algorithm to Solve the Generalized Eigenvalue Problem for Complex Matrices [{F2}]''", journal = j-TOMS, volume = "2", number = "4", pages = "396--396", month = dec, year = "1976", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355705.355718", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:27:42 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Kaufman:1975:ALA}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{McClellan:1977:ESL, author = "Michael T. McClellan", title = "The Exact Solution of Linear Equations with Rational Function Coefficients", journal = j-TOMS, volume = "3", number = "1", pages = "1--25", month = mar, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355719.355720", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "68A15", MRnumber = "55 #11696", bibdate = "Sat Aug 27 22:12:55 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Jo Ann Howell", } @Article{Stoutemyer:1977:AEA, author = "David R. Stoutemyer", title = "Automatic Error Analysis Using Computer Algebraic Manipulation", journal = j-TOMS, volume = "3", number = "1", pages = "26--43", month = mar, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355719.355721", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65G05", MRnumber = "55 #13765", bibdate = "Fri Sep 02 22:30:11 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", abstract = "This paper shows how the inherent error and the fixed-point or floating-point roundoff of chopoff error of an expression can be determined automatically using a computer algebra language such as {REDUCE}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "R. P. Brent", } @Article{Shampine:1977:SND, author = "L. F. Shampine", title = "Stiff and Nonstiff Differential Equation Solvers, {II}: Detecting Stiffness with {Runge--Kutta} Methods", journal = j-TOMS, volume = "3", number = "1", pages = "44--53", month = mar, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355719.355722", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05", MRnumber = "56 #4175", bibdate = "Sat Aug 27 22:12:55 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "W. H. Enright", } @Article{Tran-Thong:1977:FPF, author = "Tr{\^a}\`n-Th{\^o}\'ng and Bede Liu", title = "Floating Point Fast {Fourier} Transform Computation Using Double Precision Floating Point Accumulators", journal = j-TOMS, volume = "3", number = "1", pages = "54--59", month = mar, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355719.355723", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65T05", MRnumber = "55 #11658", bibdate = "Sat Aug 27 22:12:55 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", abstract = "Most commonly available fast Fourier transform (FFT) subroutines use single precision chopping arithmetic, and the resulting normalized roundoff error, in computing an $N$-point transform with $N = \prod_{i = 1}^M a_i$ is $O(M^2)$. This paper proposes a modification of these subroutines for use on computers with a hardwired double precision arithmetic unit. The resulting normalized roundoff error is $O(M)$ and is independent of the $a_i$. The modification leads to a negligible increase in storage. For most computers, the increase in the execution time is small. For certain computers, such as IBM System/360 models 91 and 195, the modification can result in a decrease in the execution time.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "computer arithmetic; double-length summation; fast Fourier transform; roundoff error", } @Article{Gonzalez:1977:EAK, author = "Teofilo Gonzalez and Sartaj Sahni and W. R. Franta", title = "An Efficient Algorithm for the {Kolmogorov--Smirnov} and {Lilliefors} Tests", journal = j-TOMS, volume = "3", number = "1", pages = "60--64", month = mar, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355719.355724", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65C99", MRnumber = "55 #11561", bibdate = "Sat Aug 27 22:12:55 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Hannah Chen", } @Article{Kaufman:1977:STQ, author = "Linda Kaufman", title = "Some Thoughts on the {QZ} Algorithm for Solving the Generalized Eigenvalue Problem", journal = j-TOMS, volume = "3", number = "1", pages = "65--75", month = mar, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355719.355725", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F15", MRnumber = "55 #6814", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "gieg; nla; QZ algorithm", reviewer = "W. Niethammer", } @Article{Amos:1977:CSI, author = "D. E. Amos and S. L. Daniel and M. K. Weston", title = "{CDC} 6600 Subroutines {IBESS} and {JBESS} for {Bessel} Functions {$I_\nu(x)$} and {$J_\nu(x)$}, {$x\ge0,\nu\ge0$}", journal = j-TOMS, volume = "3", number = "1", pages = "76--92", month = mar, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355719.355726", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D20", MRnumber = "55 #6781", bibdate = "Tue Sep 06 19:20:02 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Sven-{\AA}ke Gustafson", } @Article{Amos:1977:ACS, author = "D. E. Amos and S. L. Daniel and M. K. Weston", title = "{Algorithm 511}: {CDC} 6600 Subroutines {IBESS} and {JBESS} for {Bessel} Functions {$I_\nu(x)$} and {$J_\nu(x)$}, {$x \ge 0, \nu \ge 0$} [{S18}]", journal = j-TOMS, volume = "3", number = "1", pages = "93--95", month = mar, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355719.355727", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Thu Apr 29 15:14:12 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See erratum \cite{Amos:1978:ECS}.", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Benson:1977:ANA, author = "A. Benson and D. J. Evans", title = "{Algorithm 512}: a Normalized Algorithm for Solution of the Positive Definite Symmetric Quindiagonal Systems of Linear Equations [{F4}]", journal = j-TOMS, volume = "3", number = "1", pages = "96--103", month = mar, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355719.355728", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 22:22:47 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Cate:1977:AAS, author = "Esko G. Cate and David W. Twigg", title = "{Algorithm 513}: Analysis of In-Situ Transposition [{F1}]", journal = j-TOMS, volume = "3", number = "1", pages = "104--110", month = mar, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355719.355729", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "68A10", MRnumber = "55 #13866", bibdate = "Thu Apr 29 15:17:56 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See remark \cite{Leathers:1979:RAS}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Ralph A. Willoughby", } @Article{Veillon:1977:RNI, author = "Fran{\c{c}}oise Veillon", title = "Remark on ``{Algorithm 486}: Numerical Inversion of {Laplace} Transform''", journal = j-TOMS, volume = "3", number = "1", pages = "111--111", month = mar, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355719.355730", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:27:43 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Veillon:1974:NIL,Piessens:1984:RNI}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Dunham:1977:RMU, author = "Charles Dunham", title = "Remark on ``{Algorithm 500}: Minimization of Unconstrained Multivariate Functions [{E4}]''", journal = j-TOMS, volume = "3", number = "1", pages = "112--112", month = mar, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355719.355731", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:27:59 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Shanno:1976:AMU}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Aird:1977:PMS, author = "Thomas J. Aird", title = "Portability of Mathematical Software Coded in {Fortran}", journal = j-TOMS, volume = "3", number = "2", pages = "113--127", month = jun, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355732.355733", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 22:26:34 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Stoutemyer:1977:ASI, author = "David R. Stoutemyer", title = "Analytically Solving Integral Equations by Using Computer Algebra", journal = j-TOMS, volume = "3", number = "2", pages = "128--146", month = jun, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355732.355734", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65R05", MRnumber = "56 #4205", bibdate = "Sat Aug 27 22:26:34 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Sean McKee", } @Article{McClellan:1977:CAE, author = "Michael T. McClellan", title = "A Comparison of Algorithms for the Exact Solution of Linear Equations", journal = j-TOMS, volume = "3", number = "2", pages = "147--158", month = jun, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355732.355735", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F05", MRnumber = "55 #13753", bibdate = "Sat Aug 27 22:26:34 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "H. R. Schwarz", } @Article{Farden:1977:SSS, author = "David C. Farden", title = "The Solution of a Special Set of {Hermitian} {Toeplitz} Linear Equations", journal = j-TOMS, volume = "3", number = "2", pages = "159--163", month = jun, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355732.355736", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 22:26:34 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Ichida:1977:CFO, author = "Kozo Ichida and Takeshi Kiyono and Fujiichi Yoshimoto", title = "Curve Fitting by a One-Pass Method With a Piecewise Cubic Polynomial", journal = j-TOMS, volume = "3", number = "2", pages = "164--174", month = jun, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355732.355737", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 22:26:34 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Ellis:1977:ANM, author = "T. M. R. Ellis and D. H. McLain", title = "{Algorithm 514}: a New Method of Cubic Curve Fitting Using Local Data [{E2}]", journal = j-TOMS, volume = "3", number = "2", pages = "175--179", month = jun, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355732.355738", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Buckles:1977:AGV, author = "B. P. Buckles and M. Lybanon", title = "{Algorithm 515}: Generation of a Vector from the Lexicographical Index [{G6}]", journal = j-TOMS, volume = "3", number = "2", pages = "180--182", month = jun, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355732.355739", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{McKean:1977:AAO, author = "J. W. McKean and T. A. {Ryan, Jr.}", title = "{Algorithm 516}: An Algorithm for Obtaining Confidence Intervals and Point Estimates Based on Ranks in the Two Sample Location Problem [{G1}]", journal = j-TOMS, volume = "3", number = "2", pages = "183--185", month = jun, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355732.355740", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Chan:1977:APC, author = "S. P. Chan and R. Feldman and B. N. Parlett", title = "{Algorithm 517}: a Program for Computing the Condition Numbers of Matrix Eigenvalues Without Computing Eigenvectors [{F2}]", journal = j-TOMS, volume = "3", number = "2", pages = "186--203", month = jun, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355732.355741", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 22:34:22 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "condition estimation; eig; nla; nonsymmetric matrix; pert; software", } @Article{Mackay:1977:RPT, author = "M. Mackay and J. E. Radue", title = "Remark on ``{Some} Performance Tests of `{Quicksort}' and Descendants''", journal = j-TOMS, volume = "3", number = "2", pages = "204--204", month = jun, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355732.355742", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Nov 19 13:07:36 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Loeser:1974:SPT}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Jansen:1977:RLF, author = "J. K. M. Jansen", title = "Remark on ``{Algorithm 259}: {Legendre} Functions for Arguments Larger than One''", journal = j-TOMS, volume = "3", number = "2", pages = "204--205", month = jun, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355732.356467", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Sep 30 00:59:04 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Gautschi:1965:LFA}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Friedman:1977:AFB, author = "Jerome H. Friedman and Jon Louis Bentley and Raphael Ari Finkel", title = "An Algorithm for Finding Best Matches in Logarithmic Expected Time", journal = j-TOMS, volume = "3", number = "3", pages = "209--226", month = sep, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355744.355745", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 22:53:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://doi.acm.org/10.1145/355744.355745; http://www.acm.org/pubs/citations/journals/toms/1977-3-3/p209-bentley/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Ito:1977:MRP, author = "Tetsuro Ito and Makoto Kizawa", title = "The Matrix Rearrangement Procedure for Graph-Theoretical Algorithms and Its Application to the Generation of Fundamental Cycles", journal = j-TOMS, volume = "3", number = "3", pages = "227--231", month = sep, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355744.355746", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 22:26:34 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Cody:1977:CRF, author = "W. J. Cody and Rose M. Motley and L. Wayne Fullerton", title = "The Computation of Real Fractional Order {Bessel} Functions of the Second Kind", journal = j-TOMS, volume = "3", number = "3", pages = "232--239", month = sep, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355744.355747", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 22:26:34 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Gautschi:1977:ERI, author = "Walter Gautschi", title = "Evaluation of Repeated Integrals of the Coerror Function", journal = j-TOMS, volume = "3", number = "3", pages = "240--252", month = sep, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355744.355748", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 22:26:34 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Walker:1977:EMG, author = "Alastair J. Walker", title = "An Efficient Method for Generating Discrete Random Variables with General Distributions", journal = j-TOMS, volume = "3", number = "3", pages = "253--256", month = sep, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355744.355749", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 22:26:34 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Kinderman:1977:CGR, author = "A. J. Kinderman and J. F. Monahan", title = "Computer Generation of Random Variables Using the Ratio of Uniform Deviates", journal = j-TOMS, volume = "3", number = "3", pages = "257--260", month = sep, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355744.355750", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 22:58:34 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, country = "USA", date = "13/05/93", descriptors = "RVG", enum = "7496", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", language = "English", location = "SEL: Wi", references = "0", revision = "16/01/94", } @Article{Cohen:1977:SSF, author = "Jacques Cohen and Joel Katcoff", title = "Symbolic Solution of Finite-Difference Equations", journal = j-TOMS, volume = "3", number = "3", pages = "261--271", month = sep, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355744.355751", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 22:26:34 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Fateman:1977:ADC, author = "Richard J. Fateman", title = "An Algorithm for Deciding the Convergence of the Rational Iteration $x_{n+1} = f(x_n)$", journal = j-TOMS, volume = "3", number = "3", pages = "272--278", month = sep, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355744.355752", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 22:26:34 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Hill:1977:AIB, author = "G. W. Hill", title = "{Algorithm 518}: Incomplete {Bessel} Function {$I_0$}. {The von Mises} Distribution [{S14}]", journal = j-TOMS, volume = "3", number = "3", pages = "279--284", month = sep, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355744.355753", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Oct 24 15:46:06 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Kallman:1977:ATA, author = "Ralph Kallman", title = "{Algorithm 519}: Three Algorithms for Computing {Kolmogorov--Smirnov} Probabilities with Arbitrary Boundaries and a Certification of {Algorithm 487} [{S14}]", journal = j-TOMS, volume = "3", number = "3", pages = "285--294", month = sep, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355744.355754", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:01:47 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Weglarz:1977:AAR, author = "Jan Weglarz and Jacek Blazewicz and Wojciech Cellary and Roman Slowinski", title = "{Algorithm 520}: An Automatic Revised Simplex Method for Constrained Resource Network Scheduling [{H}]", journal = j-TOMS, volume = "3", number = "3", pages = "295--300", month = sep, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355744.355755", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Gautschi:1977:ARI, author = "Walter Gautschi", title = "{Algorithm 521}: Repeated Integrals of the Coerror Function [{S15}]", journal = j-TOMS, volume = "3", number = "3", pages = "301--302", month = sep, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355744.355756", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:03:07 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Sipala:1977:RSM, author = "Paolo Sipala", title = "Remark on ``{Algorithm 408}: a Sparse Matrix Package ({Part I}) [{F4}]''", journal = j-TOMS, volume = "3", number = "3", pages = "303--303", month = sep, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355744.355757", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:02 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{McNamee:1971:SMP}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Tenney:1977:RTO, author = "Dennis Tenney", title = "Remark on ``{Algorithm 219}: Topological Ordering for {PERT} Networks''", journal = j-TOMS, volume = "3", number = "3", pages = "303--303", month = sep, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355744.356472", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:02 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Kase:1963:TOP}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Hillstrom:1977:STA, author = "Kenneth E. Hillstrom", title = "A Simulation Test Approach to the Evaluation of Nonlinear Optimization Algorithms", journal = j-TOMS, volume = "3", number = "4", pages = "305--315", month = dec, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355759.355760", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:06:22 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Powell:1977:PQA, author = "M. J. D. Powell and M. A. Sabin", title = "Piecewise Quadratic Approximations on Triangles", journal = j-TOMS, volume = "3", number = "4", pages = "316--325", month = dec, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355759.355761", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D15", MRnumber = "58 #3319", bibdate = "Sat Aug 27 23:07:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Skeel:1977:BLM, author = "Robert D. Skeel and Antony K. Kong", title = "Blended Linear Multistep Methods", journal = j-TOMS, volume = "3", number = "4", pages = "326--345", month = dec, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355759.355762", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05", MRnumber = "57 #1904", bibdate = "Fri Sep 30 01:01:06 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "R. Leonard Brown", } @Article{Payne:1977:NRN, author = "W. H. Payne", title = "Normal Random Numbers: Using Machine Analysis to Choose the Best Algorithm", journal = j-TOMS, volume = "3", number = "4", pages = "346--358", month = dec, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355759.355763", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65C10", MRnumber = "57 #1827", bibdate = "Sat Aug 27 23:09:02 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, country = "USA", date = "13/05/93", descriptors = "RVG", enum = "7752", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", language = "English", location = "SEL: Wi", references = "0", reviewer = "Artenio De Matteis", revision = "16/01/94", } @Article{Boyce:1977:IPF, author = "William M. Boyce", title = "An Improved Program for the Full {Steiner} Tree Problem", journal = j-TOMS, volume = "3", number = "4", pages = "359--385", month = dec, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355759.355764", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "90B10 (05C30)", MRnumber = "57 #11690", bibdate = "Sat Aug 27 23:07:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Fan R. K. Chung", } @Article{Cabay:1977:CTE, author = "S. Cabay and T. P. L. Lam", title = "Congruence Techniques for the Exact Solution of Integer Systems of Linear Equations", journal = j-TOMS, volume = "3", number = "4", pages = "386--397", month = dec, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355759.355765", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F05", MRnumber = "57 #7962a", bibdate = "Fri Sep 30 01:01:45 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "W. Borsch-Supan", } @Article{Eddy:1977:NCH, author = "William F. Eddy", title = "A New Convex Hull Algorithm for Planar Sets", journal = j-TOMS, volume = "3", number = "4", pages = "398--403", month = dec, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355759.355766", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:07:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Cabay:1977:AEC, author = "S. Cabay and T. P. L. Lam", title = "{Algorithm 522}: {ESOLVE}, Congruence Techniques for the Exact Solution of Integer Systems of Linear Equations [{F4}]", journal = j-TOMS, volume = "3", number = "4", pages = "404--410", month = dec, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355759.355767", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F05", MRnumber = "57 #7962b", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "W. Borsch-Supan", } @Article{Eddy:1977:ACN, author = "W. F. Eddy", title = "{Algorithm 523}: {CONVEX}, a New Convex Hull Algorithm for Planar Sets [{Z}]", journal = j-TOMS, volume = "3", number = "4", pages = "411--412", month = dec, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355759.355768", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Dinkel:1978:SAP, author = "John J. Dinkel and Gary A. Kochenberger and S. N. Wong", title = "Sensitivity Analysis Procedures for Geometric Programs: Computational Aspects", journal = j-TOMS, volume = "4", number = "1", pages = "1--14", month = mar, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355769.355770", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://doi.acm.org/10.1145/355769.355770; http://www.acm.org/pubs/citations/journals/toms/1978-4-1/p1-wong/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Blue:1978:PFP, author = "James L. Blue", title = "A Portable {Fortran} Program to Find the {Euclidean} Norm of a Vector", journal = j-TOMS, volume = "4", number = "1", pages = "15--23", month = mar, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355769.355771", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "68A10", MRnumber = "57 \#18205", bibdate = "Sat Aug 27 23:14:36 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib; https://www.math.utah.edu/pub/tex/bib/unix.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "BLAS; floating-point arithmetic; floating-point overflow; floating-point underflow; nla; norm; software", reviewer = "A. D. Booth", } @Article{Ivie:1978:SMP, author = "John Ivie", title = "Some {MACSYMA} Programs for Solving Recurrence Relations", journal = j-TOMS, volume = "4", number = "1", pages = "24--33", month = mar, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355769.355772", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 20:42:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Celis:1984:RCE}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Lasdon:1978:DTG, author = "L. S. Lasdon and A. D. Waren and A. Jain and M. Ratner", title = "Design and Testing of a Generalized Reduced Gradient Code for Nonlinear Programming", journal = j-TOMS, volume = "4", number = "1", pages = "34--50", month = mar, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355769.355773", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Tsao:1978:MNI, author = "Nai-Kuan Tsao and Rose Marie Prior", title = "On Multipoint Numerical Interpolation", journal = j-TOMS, volume = "4", number = "1", pages = "51--56", month = mar, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355769.355774", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Brent:1978:FMP, author = "Richard P. Brent", title = "A {Fortran} Multiple-Precision Arithmetic Package", journal = j-TOMS, volume = "4", number = "1", pages = "57--70", month = mar, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355769.355775", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/fortran1.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Brent:1978:AMF, author = "Richard P. Brent", title = "{Algorithm 524}: {MP}, {A Fortran} Multiple-Precision Arithmetic Package [{A1}]", journal = j-TOMS, volume = "4", number = "1", pages = "71--81", month = mar, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355769.355776", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Mar 09 10:35:50 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/fortran1.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Brent:1979:RMF,Brent:1980:AIB,Smith:1998:AMP}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Rice:1978:AAA, author = "John R. Rice", title = "{Algorithm 525}: {ADAPT}, Adaptive Smooth Curve Fitting [{E2}]", journal = j-TOMS, volume = "4", number = "1", pages = "82--94", month = mar, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355769.355777", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Futrell:1978:RTA, author = "R. Futrell", title = "Remark on ``{Fortran} Translation of {Algorithm 409}: Discrete {Chebychev} Curve Fit [{E2}]''", journal = j-TOMS, volume = "4", number = "1", pages = "95--95", month = mar, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355769.355778", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Sep 05 23:07:36 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Simpson:1976:AFT}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Skovgaard:1978:RCE, author = "Ove Skovgaard", title = "Remark on ``{Algorithm 149}: Complete Elliptic Integral [{S21}]''", journal = j-TOMS, volume = "4", number = "1", pages = "95--95", month = mar, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355769.356473", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:02 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Merner:1962:CEI}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Krogh:1978:AP, author = "Fred T. Krogh", title = "Algorithms Policy", journal = j-TOMS, volume = "4", number = "2", pages = "97--99", month = jun, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355780.355781", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:23:41 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Ford:1978:PET, author = "Brian Ford", title = "Parametrization of the Environment for Transportable Numerical Software", journal = j-TOMS, volume = "4", number = "2", pages = "100--103", month = jun, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355780.355782", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Fox:1978:PMS, author = "P. A. Fox and A. D. Hall and N. L. Schryer", title = "The {PORT} Mathematical Subroutine Library", journal = j-TOMS, volume = "4", number = "2", pages = "104--126", month = jun, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355780.355783", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib; https://www.math.utah.edu/pub/tex/bib/unix.bib", abstract = "The development at Bell Laboratories of PORT, a library of portable Fortran programs for numerical computation, is discussed. Portability is achieved by careful language specification, together with the key technique of specifying computer classes by means of predefined machine constants. The library is built around an automatic error-handling facility and a dynamic storage allocation scheme, both of which are implemented portably. These, together with the modular structure of the library, lead to simplified calling sequences and ease of use.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "dynamic storage allocation; error handling; libraries; numerical analysis; portability", } @Article{Enright:1978:IEM, author = "W. H. Enright", title = "Improving the Efficiency of Matrix Operations in the Numerical Solution of Stiff Ordinary Differential Equations", journal = j-TOMS, volume = "4", number = "2", pages = "127--136", month = jun, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355780.355784", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L10", MRnumber = "58 #3483", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Henning Esser", } @Article{Duff:1978:ITA, author = "I. S. Duff and J. K. Reid", title = "An Implementation of {Tarjan}'s Algorithm for the Block Triangularization of a Matrix", journal = j-TOMS, volume = "4", number = "2", pages = "137--147", month = jun, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355780.355785", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 19:40:23 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "graph; sparse", } @Article{Akima:1978:MBI, author = "Hiroshi Akima", title = "A Method of Bivariate Interpolation and Smooth Surface Fitting for Irregularly Distributed Data Points", journal = j-TOMS, volume = "4", number = "2", pages = "148--159", month = jun, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355780.355786", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Akima:1978:ABI, author = "Hiroshi Akima", title = "{Algorithm 526}: Bivariate Interpolation and Smooth Surface Fitting for Irregularly Distributed Data Points [{E1}]", journal = j-TOMS, volume = "4", number = "2", pages = "160--164", month = jun, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355780.355787", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 4 20:54:19 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Akima:1979:RBI,Preusser:1985:RBI}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Bank:1978:AFI, author = "Randolph E. Bank", title = "{Algorithm 527}: {A Fortran} Implementation of the Generalized Marching Algorithm [{D3}]", journal = j-TOMS, volume = "4", number = "2", pages = "165--176", month = jun, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355780.355788", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:30:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Fox:1978:AFP, author = "P. A. Fox and A. D. Hall and N. L. Schryer", title = "{Algorithm 528}: Framework for a Portable Library [{Z}]", journal = j-TOMS, volume = "4", number = "2", pages = "177--188", month = jun, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355780.355789", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:30:46 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/gay-david-m.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib; https://www.math.utah.edu/pub/tex/bib/unix.bib", note = "See remarks \cite{Fox:1979:RFP,Gay:1999:SAF}.", acknowledgement = ack-nhfb, annote = "The three program packages presented here provide a framework for a portable FORTRAN subroutine library. They were developed for the BELL Laboratories library PORT(1). The packages are: machine-dependent constants, automatic error handling, and dynamic storage allocation using a stack.", country = "USA", date = "19/03/80", descriptors = "Reliability; program construction; mathematical method; FORTRAN; portability; error handling; memory management; library", enum = "988", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", language = "English", location = "RWTH-AC-DFV: TELL", references = "1", revision = "20/03/92", } @Article{Duff:1978:APB, author = "I. S. Duff and J. K. Reid", title = "{Algorithm 529}: Permutations To Block Triangular Form [{F1}]", journal = j-TOMS, volume = "4", number = "2", pages = "189--192", month = jun, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355780.355790", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:31:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Bailey:1978:ASS, author = "P. B. Bailey and M. K. Gordon and L. F. Shampine", title = "Automatic Solution of the {Sturm--Liouville} Problem", journal = j-TOMS, volume = "4", number = "3", pages = "193--208", month = sep, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355791.355792", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L15", MRnumber = "80a:65181", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://doi.acm.org/10.1145/355791.355792; http://www.acm.org/pubs/citations/journals/toms/1978-4-3/p193-gordon/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Polak:1978:TPP, author = "S. J. Polak and J. Schrooten and C. Barneveld Binkhuysen", title = "{TEDDY2}, a Program Package for Parabolic Composite Region Problems", journal = j-TOMS, volume = "4", number = "3", pages = "209--227", month = sep, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355791.355793", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04", MRnumber = "80a:65009", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Larson:1978:ECE, author = "John Larson and Ahmed Sameh", title = "Efficient Calculation of the Effects of Roundoff Errors", journal = j-TOMS, volume = "4", number = "3", pages = "228--236", month = sep, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355791.355794", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65G05", MRnumber = "80a:65092a", bibdate = "Thu Apr 29 15:22:59 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See errata \cite{Larson:1979:ECE}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "na; rounding error", } @Article{Brown:1978:SPA, author = "W. S. Brown", title = "The Subresultant {PRS} Algorithm", journal = j-TOMS, volume = "4", number = "3", pages = "237--249", month = sep, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355791.355795", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "12-04 (68C20)", MRnumber = "82g:12001", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib; https://www.math.utah.edu/pub/tex/bib/unix.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Gustavson:1978:TFA, author = "Fred G. Gustavson", title = "Two Fast Algorithms for Sparse Matrices: Multiplication and Permuted Transposition", journal = j-TOMS, volume = "4", number = "3", pages = "250--269", month = sep, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355791.355796", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F30 (65-04)", MRnumber = "80a:65086", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Chen:1978:PPB, author = "S. C. Chen and D. J. Kuck and A. H. Sameh", title = "Practical Parallel Band Triangular Systems Solvers", journal = j-TOMS, volume = "4", number = "3", pages = "270--277", month = sep, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355791.355797", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F05 (65-04)", MRnumber = "80a:65065", bibdate = "Fri Aug 26 23:35:36 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "linear system; nla; prll; tridiagonal matrix", } @Article{Ward:1978:ECS, author = "R. C. Ward and L. J. Gray", title = "Eigensystem Computation for Skew-Symmetric and a Class of Symmetric Matrices", journal = j-TOMS, volume = "4", number = "3", pages = "278--285", month = sep, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355791.355798", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F15", MRnumber = "80a:65082", bibdate = "Sat Aug 27 23:37:26 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "eig; nla; skew-symmetric matrix; symmetric matrix", } @Article{Ward:1978:AAC, author = "R. C. Ward and L. J. Gray", title = "{Algorithm 530}: An Algorithm for Computing the Eigensystem of Skew-Symmetric Matrices and a Class of Symmetric Matrices [{F2}]", journal = j-TOMS, volume = "4", number = "3", pages = "286--289", month = sep, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355791.355799", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:37:47 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Snyder:1978:ACP, author = "William V. Snyder", title = "{Algorithm 531}: Contour Plotting [{J6}]", journal = j-TOMS, volume = "4", number = "3", pages = "290--294", month = sep, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355791.355800", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:38:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Coleman:1978:RSN, author = "John P. Coleman", title = "Remark on ``{Algorithm 49}: Spherical {Neumann} Function''", journal = j-TOMS, volume = "4", number = "3", pages = "295--295", month = sep, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355791.355801", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:02 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Herndon:1961:SNF}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Gustavson:1978:RSM, author = "Fred G. Gustavson", title = "Remark on ``{Algorithm 408}: a Sparse Matrix Package ({Part I}) [{F4}]''", journal = j-TOMS, volume = "4", number = "3", pages = "295--295", month = sep, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355791.356474", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:02 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{McNamee:1971:SMP}.", URL = "http://doi.acm.org/10.1145/355791.356474; http://www.acm.org/pubs/citations/journals/toms/1978-4-3/p295-mcnamee/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Schoene:1978:RMI, author = "Andrew Y. Schoene", title = "Remark on ``{Algorithm 435}: Modified Incomplete Gamma Function [{S14}]''", journal = j-TOMS, volume = "4", number = "3", pages = "296--304", month = sep, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355791.355803", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:02 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Fullerton:1972:MIG}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Baker:1978:SAC, author = "Christopher T. H. Baker and Malcolm S. Keech", title = "Stability Analysis of Certain {Runge--Kutta} Procedures for {Volterra} Integral Equations", journal = j-TOMS, volume = "4", number = "4", pages = "305--315", month = dec, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356502.356476", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65R20", MRnumber = "80a:65264", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Fairweather:1978:IRQ, author = "Graeme Fairweather", title = "An Investigation of {Romberg} Quadrature", journal = j-TOMS, volume = "4", number = "4", pages = "316--322", month = dec, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356502.356477", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Shampine:1978:SPA, author = "Lawrence F. Shampine", title = "Stability Properties of {Adams} Codes", journal = j-TOMS, volume = "4", number = "4", pages = "323--329", month = dec, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356502.356478", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05", MRnumber = "80c:65157", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Sherman:1978:ASG, author = "Andrew H. Sherman", title = "Algorithms for Sparse {Gaussian} Elimination with Partial Pivoting", journal = j-TOMS, volume = "4", number = "4", pages = "330--338", month = dec, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356502.356494", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Tendler:1978:SSI, author = "Joel M. Tendler and Theodore A. Bickart and Zdenek Picel", title = "A Stiffly Stable Integration Process Using Cyclic Composite Methods", journal = j-TOMS, volume = "4", number = "4", pages = "339--368", month = dec, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356502.356495", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Miller:1978:SRA, author = "Webb Miller and David Spooner", title = "Software for Roundoff Analysis. {II}", journal = j-TOMS, volume = "4", number = "4", pages = "369--387", month = dec, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356502.356496", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65G05 (65F99)", MRnumber = "81i:65035", bibdate = "Sat Aug 27 23:48:16 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "cs; rounding error; software", } @Article{Miller:1978:ASR, author = "Webb Miller and David Spooner", title = "{Algorithm 532}: Software for Roundoff Analysis [{Z}]", journal = j-TOMS, volume = "4", number = "4", pages = "388--390", month = dec, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356502.356497", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:48:45 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Sherman:1978:ANF, author = "Andrew H. Sherman", title = "{Algorithm 533}: {NSPIV}, {A Fortran} Subroutine for Sparse {Gaussian} Elimination with Partial Pivoting [{F4}]", journal = j-TOMS, volume = "4", number = "4", pages = "391--398", month = dec, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356502.356498", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:49:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Tendler:1978:ASS, author = "Joel M. Tendler and Theodore A. Bickart and Zdenek Picel", title = "{Algorithm 534}: {STINT}: {STiff} (differential equations) {INTegrator} [{D2}]", journal = j-TOMS, volume = "4", number = "4", pages = "399--403", month = dec, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356502.356499", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:50:02 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Garbow:1978:AQA, author = "Burton S. Garbow", title = "{Algorithm 535}: The {QZ} Algorithm to Solve the Generalized Eigenvalue Problem for Complex Matrices [{F2}]", journal = j-TOMS, volume = "4", number = "4", pages = "404--410", month = dec, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356502.356500", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 20:40:17 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Garbow:1982:RQA,Garbow:1984:RQA}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Amos:1978:ECS, author = "Donald E. Amos", title = "Erratum: ``{Algorithm 511}: {CDC} 6600 Subroutines {IBESS} and {JBESS} for {Bessel} Functions {$I_\nu(x)$} and {$J_\nu(x)$}, {$x\ge0,\nu\ge0$} [{S18}]''", journal = j-TOMS, volume = "4", number = "4", pages = "411--411", month = dec, year = "1978", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356502.356501", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:02 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Amos:1977:ACS}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Zave:1979:DAP, author = "Pamela Zave and Werner C. Rheinboldt", title = "Design of an Adaptive, Parallel Finite-Element System", journal = j-TOMS, volume = "5", number = "1", pages = "1--17", month = mar, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355815.355816", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65N30 (65-04)", MRnumber = "80c:65213", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Duff:1979:SDF, author = "I. S. Duff and J. K. Reid", title = "Some Design Features of a Sparse Matrix Code", journal = j-TOMS, volume = "5", number = "1", pages = "18--35", month = mar, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355815.355817", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Proskurowski:1979:NSH, author = "Wlodzimierz Proskurowski", title = "Numerical Solution of {Helmholtz}'s Equation by Implicit Capacitance Matrix Methods", journal = j-TOMS, volume = "5", number = "1", pages = "36--49", month = mar, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355815.355818", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65N20", MRnumber = "80b:65129", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "John Crank", } @Article{Yohe:1979:SIA, author = "J. M. Yohe", title = "Software for Interval Arithmetic: a Reasonably Portable Package", journal = j-TOMS, volume = "5", number = "1", pages = "50--63", month = mar, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355815.355819", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:55:38 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "interval arithmetic; na; software", } @Article{More:1979:NSN, author = "Jorge J. Mor{\'e} and Michel Y. Cosnard", title = "Numerical Solution of Nonlinear Equations", journal = j-TOMS, volume = "5", number = "1", pages = "64--85", month = mar, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355815.355820", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65H05", MRnumber = "80c:65110", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Kahaner:1979:EAD, author = "David K. Kahaner and Mark B. Wells", title = "An Experimental Algorithm for ${N}$-Dimensional Adaptive Quadrature", journal = j-TOMS, volume = "5", number = "1", pages = "86--96", month = mar, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355815.355821", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:41:04 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Knoble:1979:EOW, author = "H. D. Knoble and C. {Forney, Jr.} and F. S. Bader", title = "An Efficient One-Way Enciphering Algorithm", journal = j-TOMS, volume = "5", number = "1", pages = "97--107", month = mar, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355815.355822", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Knoble:1979:AEO, author = "H. D. Knoble", title = "{Algorithm 536}: An Efficient One-Way Enciphering Algorithm [{Z}]", journal = j-TOMS, volume = "5", number = "1", pages = "108--111", month = mar, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355815.355823", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:58:53 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Leeb:1979:ACV, author = "Walter R. Leeb", title = "{Algorithm 537}: Characteristic Values of {Mathieu}'s Differential Equation", journal = j-TOMS, volume = "5", number = "1", pages = "112--117", month = mar, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355815.355824", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Nikolai:1979:AEE, author = "Paul J. Nikolai", title = "{Algorithm 538}: Eigenvectors and Eigenvalues of Real Generalized Symmetric Matrices by Simultaneous Iteration [{F2}]", journal = j-TOMS, volume = "5", number = "1", pages = "118--125", month = mar, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355815.355825", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Krogh:1979:AAP, author = "Fred T. Krogh", title = "{ACM} Algorithms Policy", journal = j-TOMS, volume = "5", number = "2", pages = "129--131", month = jun, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355826.355827", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Aug 28 00:01:38 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Schrage:1979:MPF, author = "Linus Schrage", title = "A More Portable {Fortran} Random Number Generator", journal = j-TOMS, volume = "5", number = "2", pages = "132--138", month = jun, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355826.355828", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{George:1979:DUI, author = "Alan George and Joseph W. H. Liu", title = "The Design of a User Interface for a Sparse Matrix Package", journal = j-TOMS, volume = "5", number = "2", pages = "139--162", month = jun, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355826.355829", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Payne:1979:CG, author = "W. H. Payne and F. M. Ives", title = "Combination Generators", journal = j-TOMS, volume = "5", number = "2", pages = "163--172", month = jun, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355826.355830", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 23:13:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{deBoor:1979:ECM, author = "Carl {de Boor}", title = "Efficient Computer Manipulation of Tensor Products", journal = j-TOMS, volume = "5", number = "2", pages = "173--182", month = jun, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355826.355831", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04", MRnumber = "80d:65006a", bibdate = "Thu Apr 29 15:18:18 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See corrigenda \cite{deBoor:1979:CCM}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Cleary:1979:AAF, author = "John Gerald Cleary", title = "Analysis of an Algorithm for Finding Nearest Neighbors in {Euclidean} Space", journal = j-TOMS, volume = "5", number = "2", pages = "183--192", month = jun, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355826.355832", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "68H05 (68G10)", MRnumber = "80e:68236", bibdate = "Sun Aug 28 00:06:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Crowder:1979:RCE, author = "Harlan Crowder and Ron S. Dembo and John M. Mulvey", title = "On Reporting Computational Experiments with Mathematical Software", journal = j-TOMS, volume = "5", number = "2", pages = "193--203", month = jun, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355826.355833", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Aug 28 00:06:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Crary:1979:VPN, author = "Fred D. Crary", title = "A Versatile Precompiler for Nonstandard Arithmetics", journal = j-TOMS, volume = "5", number = "2", pages = "204--217", month = jun, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355826.355834", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Aug 28 00:06:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Geddes:1979:SCP, author = "K. O. Geddes", title = "Symbolic Computation of {Pad{\'e}} Approximants", journal = j-TOMS, volume = "5", number = "2", pages = "218--233", month = jun, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355826.355835", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (65F99 68C20)", MRnumber = "80c:65005", bibdate = "Sun Aug 28 00:06:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Bogen:1979:ASI, author = "Richard A. Bogen", title = "Addendum to ``{Analytically} Solving Integral Equations by Using Computer Algebra''", journal = j-TOMS, volume = "5", number = "2", pages = "234--237", month = jun, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355826.355836", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65R20", MRnumber = "80k:65102", bibdate = "Sat Nov 19 13:07:40 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{elLozy:1979:RAS, author = "Mohamed {el Lozy}", title = "Remark on ``{Algorithm 395}: {Student}'s $t$-Distribution'' and Remark on ``{Algorithm 396}: {Student}'s Quantiles [{S14}]''", journal = j-TOMS, volume = "5", number = "2", pages = "238--239", month = jun, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355826.355837", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Mar 28 11:05:53 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Hill:1970:SD,Hill:1970:SQ,Hill:1981:RSD,Hill:1985:RCS}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Geddes:1979:RCC, author = "K. O. Geddes", title = "Remark on ``{Algorithm 424}: {Clenshaw--Curtis} Quadrature [{O1}]''", journal = j-TOMS, volume = "5", number = "2", pages = "240--240", month = jun, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355826.355838", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:02 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Gentleman:1972:CCQ}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Anderson:1979:RBI, author = "M. R. Anderson", title = "Remark on ``{Algorithm 474}: Bivariate Interpolation and Smooth Surface Fitting Based on Local Procedures''", journal = j-TOMS, volume = "5", number = "2", pages = "241--241", month = jun, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355826.355839", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:02 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Akima:1974:BIS}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Akima:1979:RBI, author = "Hiroshi Akima", title = "Remark on ``{Algorithm} 526: Bivariate Interpolation and Smooth Surface Fitting for Irregularly Distributed Data Points [{E1}]''", journal = j-TOMS, volume = "5", number = "2", pages = "242--243", month = jun, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355826.355840", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Akima:1978:ABI,Preusser:1985:RBI}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Shampine:1979:SRR, author = "L. F. Shampine", title = "Storage Reduction for {Runge--Kutta} Codes", journal = j-TOMS, volume = "5", number = "3", pages = "245--250", month = sep, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355841.355842", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Aug 28 00:06:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Ehrlich:1979:SBE, author = "L. W. Ehrlich", title = "Solving the Biharmonic Equation on Irregular Regions", journal = j-TOMS, volume = "5", number = "3", pages = "251--258", month = sep, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355841.355843", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65N20", MRnumber = "80e:65093", bibdate = "Sun Aug 28 00:06:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Gill:1979:DSF, author = "Philip E. Gill and Walter Murray and Susan M. Picken and Margaret H. Wright", title = "The Design and Structure of a {Fortran} Program Library for Optimization", journal = j-TOMS, volume = "5", number = "3", pages = "259--283", month = sep, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355841.355844", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Aug 28 00:06:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{George:1979:IPN, author = "Alan George and Joseph W. H. Liu", title = "An Implementation of a Pseudoperipheral Node Finder", journal = j-TOMS, volume = "5", number = "3", pages = "284--295", month = sep, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355841.355845", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Aug 28 00:06:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Bennett:1979:SPE, author = "James Michael Bennett and Robert Neff Bryan", title = "A Single-Point Exchange Algorithm for Approximating Functions of Two Variables", journal = j-TOMS, volume = "5", number = "3", pages = "296--307", month = sep, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355841.355846", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D15", MRnumber = "80e:65020", bibdate = "Sun Aug 28 00:06:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Lawson:1979:BLA, author = "C. L. Lawson and R. J. Hanson and D. R. Kincaid and F. T. Krogh", title = "{Basic Linear Algebra Subprograms} for {Fortran} Usage", journal = j-TOMS, volume = "5", number = "3", pages = "308--323", month = sep, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355841.355847", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 19:42:33 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "BLAS; nla; software", } @Article{Lawson:1979:ABL, author = "C. L. Lawson and R. J. Hanson and D. R. Kincaid and F. T. Krogh", title = "{Algorithm 539}: {Basic Linear Algebra Subprograms} for {Fortran} Usage [{F1}]", journal = j-TOMS, volume = "5", number = "3", pages = "324--325", month = sep, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355841.355848", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Thu May 20 13:48:12 2004", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Dodson:1982:RBL,Dodson:1983:CRB,Hanson:1987:ATA,Louter-Nool:1988:ATA,Hanson:2004:AAV,Hanson:2018:RAM}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Madsen:1979:APG, author = "N. K. Madsen and R. F. Sincovec", title = "{Algorithm 540}: {PDECOL}, General Collocation Software for Partial Differential Equations [{D3}]", journal = j-TOMS, volume = "5", number = "3", pages = "326--351", month = sep, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355841.355849", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Sep 05 09:21:53 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Hopkins:1992:RPG}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Swartztrauber:1979:AEF, author = "Paul N. Swartztrauber and Roland A. Sweet", title = "{Algorithm 541}: Efficient {Fortran} Subprograms for the Solution of Separable Elliptic Partial Differential Equations [{D3}]", journal = j-TOMS, volume = "5", number = "3", pages = "352--364", month = sep, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355841.355850", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 19:43:36 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://doi.acm.org/10.1145/355841.355850; http://www.acm.org/pubs/citations/journals/toms/1979-5-3/p352-swartztrauber/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Steuerwalt:1979:CEF, author = "Michael Steuerwalt", title = "Certification of ``{Algorithm} 541: Efficient {Fortran} Subprograms for the Solution of Separable Elliptic Partial Differential Equations [{D3}]''", journal = j-TOMS, volume = "5", number = "3", pages = "365--371", month = sep, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355841.355851", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Feb 24 09:58:08 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Larson:1979:ECE, author = "John Larson", title = "Errata: ``{Efficient} Calculation of the Effects of Roundoff Errors''", journal = j-TOMS, volume = "5", number = "3", pages = "372--372", month = sep, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355841.355852", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "372. 65G05", MRnumber = "80a:65092b", bibdate = "Sat Nov 19 13:07:42 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Larson:1978:ECE}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Gear:1979:EN, author = "C. W. Gear", title = "{Editor}'s Note", journal = j-TOMS, volume = "5", number = "4", pages = "373--373", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355854", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Aug 28 00:32:50 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Enright:1979:APS, author = "W. H. Enright and M. S. Kamel", title = "Automatic Partitioning of Stiff Systems and Exploiting the Resulting Structure", journal = j-TOMS, volume = "5", number = "4", pages = "374--385", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355855", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Aug 28 00:32:50 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Gladwell:1979:IVR, author = "Ian Gladwell", title = "Initial Value Routines in the {NAG} Library", journal = j-TOMS, volume = "5", number = "4", pages = "386--400", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355856", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Aug 28 00:32:50 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Zlatev:1979:ASD, author = "Zahari Zlatev and Per Grove Thomsen", title = "Automatic Solution of Differential Equations Based on the User of Linear Multistep Methods", journal = j-TOMS, volume = "5", number = "4", pages = "401--414", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355857", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Aug 28 00:32:50 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Stetter:1979:GEE, author = "Hans J. Stetter", title = "Global Error Estimation in {Adams PC}-Codes", journal = j-TOMS, volume = "5", number = "4", pages = "415--430", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355858", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Aug 28 00:32:50 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Houstis:1979:HOF, author = "E. N. Houstis and T. S. Papatheodorou", title = "High-Order Fast Elliptic Equation Solvers", journal = j-TOMS, volume = "5", number = "4", pages = "431--441", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355859", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Aug 28 00:32:50 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Kaufman:1979:ADH, author = "L. Kaufman", title = "Application of Dense {Householder} Transformation to a Sparse Matrix", journal = j-TOMS, volume = "5", number = "4", pages = "442--450", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355860", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Aug 26 23:38:08 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib; https://www.math.utah.edu/pub/tex/bib/unix.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Householder transformation; nla; qrd; sparse", } @Article{Rayward-Smith:1979:CSN, author = "V. J. Rayward-Smith", title = "On Computing the {Smith} Normal Form of an Integer Matrix", journal = j-TOMS, volume = "5", number = "4", pages = "451--456", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355861", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Aug 28 00:32:50 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Wampler:1979:SWL, author = "Roy H. Wampler", title = "Solutions to Weighted Least Squares Problems by Modified {Gram--Schmidt} with Iterative Refinement", journal = j-TOMS, volume = "5", number = "4", pages = "457--465", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355862", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 19:44:12 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Gram--Schmidt algorithm; iterative refinement; lsq; nla; qrd; weights", } @Article{Gautschi:1979:CPI, author = "Walter Gautschi", title = "A Computational Procedure for Incomplete Gamma Functions", journal = j-TOMS, volume = "5", number = "4", pages = "466--481", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355863", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Aug 28 00:32:50 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Gautschi:1979:AIG, author = "W. Gautschi", title = "{Algorithm 542}: Incomplete Gamma Functions [{S14}]", journal = j-TOMS, volume = "5", number = "4", pages = "482--489", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355864", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Aug 28 00:39:50 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Houstis:1979:AFF, author = "E. N. Houstis and T. S. Papatheodorou", title = "{Algorithm 543}: {FFT9}, Fast Solution of {Helmholtz}-Type Partial Differential Equations [{D3}]", journal = j-TOMS, volume = "5", number = "4", pages = "490--493", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355865", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Aug 28 00:40:38 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Wampler:1979:ALL, author = "Roy H. Wampler", title = "{Algorithm 544}: {L2A} and {L2B}, Weighted Least Squares Solutions by Modified {Gram--Schmidt} with Iterative Refinement [{F4}]", journal = j-TOMS, volume = "5", number = "4", pages = "494--499", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355866", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Sep 30 01:04:18 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Gram--Schmidt algorithm; iterative refinement; lsq; nla; qrd; weights", } @Article{Fraser:1979:AOM, author = "D. Fraser", title = "{Algorithm 545}: An Optimized Mass Storage {FFT} [{C6}]", journal = j-TOMS, volume = "5", number = "4", pages = "500--517", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355867", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Aug 28 00:41:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Brent:1979:RMF, author = "R. P. Brent", title = "Remark on ``{Algorithm} 524: {MP}, {A Fortran} Multiple-Precision Arithmetic Package [{A1}]''", journal = j-TOMS, volume = "5", number = "4", pages = "518--519", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355868", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Mar 09 10:35:42 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Brent:1978:AMF,Brent:1980:AIB,Smith:1998:AMP}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Leathers:1979:RAS, author = "Burton L. Leathers", title = "Remark on ``{Algorithm} 513: Analysis of In-Situ Transposition [{F1}]'' and Remark on ``{Algorithm} 467: Matrix Transposition in Place''", journal = j-TOMS, volume = "5", number = "4", pages = "520--520", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355869", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Cate:1977:AAS,Brenner:1973:MTP}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{vanSwieten:1979:RAV, author = "A. C. M. {van Swieten} and J. Th. M. {de Hosson}", title = "Remark on ``{Algorithm} 475: Visible Surface Plotting Program''", journal = j-TOMS, volume = "5", number = "4", pages = "521--523", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355870", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Wright:1974:VSP}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Fox:1979:RFP, author = "Phyllis Fox", title = "Remark on ``{Algorithm} 528: Framework for a Portable Library [{Z}]''", journal = j-TOMS, volume = "5", number = "4", pages = "524--524", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355871", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:06 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/gay-david-m.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib; https://www.math.utah.edu/pub/tex/bib/unix.bib", note = "See \cite{Fox:1978:AFP}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{deBoor:1979:CCM, author = "Carl {de Boor}", title = "Corrigenda: ``{Efficient} Computer Manipulation of Tensor Products''", journal = j-TOMS, volume = "5", number = "4", pages = "525--525", month = dec, year = "1979", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355853.355872", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "525. 65-04", MRnumber = "80d:65006b", bibdate = "Sat Oct 24 15:50:17 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{deBoor:1979:ECM}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Cheung:1980:CCE, author = "To-Yat Cheung", title = "Computational Comparison of Eight Methods for the Maximum Network Flow Problem", journal = j-TOMS, volume = "6", number = "1", pages = "1--16", month = mar, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355873.355874", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "90B10 (68E10)", MRnumber = "80m:90046", bibdate = "Mon Aug 29 08:58:06 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "breadth-first; computational comparison; depth-first; Dinic; Karzanov; Kinariwala-Rao; maximum network flow", } @Article{Ho:1980:CST, author = "James K. Ho and Etienne Loute", title = "A Comparative Study of Two Methods for Staircase Linear Problems", journal = j-TOMS, volume = "6", number = "1", pages = "17--30", month = mar, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355873.355875", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 08:58:06 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "comparison of algorithms; decomposition; factorization; large-scale systems; structured linear programs", } @Article{Michaels:1980:MPG, author = "William M. Michaels and Richard P. O'Neill", title = "A Mathematical Program Generator {MPGENR}", journal = j-TOMS, volume = "6", number = "1", pages = "31--44", month = mar, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355873.355876", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 08:58:06 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "large-scale optimization; linear and nonlinear programming; software verification; test problem generation", } @Article{Chung:1980:ACF, author = "Won L. Chung", title = "Automatic Curve Fittings Using an Adaptive Local Algorithm", journal = j-TOMS, volume = "6", number = "1", pages = "45--57", month = mar, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355873.355877", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 11:55:50 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "adaptive approximation; automatic curve fitting; data compression; interactive display; modeling and simulation systems; numerical stability; one-sided algorithm; piecewise cubic polynomials; {$L_2$} approximation with continuity constraints", } @Article{Clark:1980:REV, author = "Gordon M. Clark", title = "Recursive Estimation of the Variance of the Sample Average", journal = j-TOMS, volume = "6", number = "1", pages = "58--67", month = mar, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355873.355878", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "68J05 (65C20)", MRnumber = "80m:68086", bibdate = "Mon Aug 29 08:58:06 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "recursive calculation; sample autocovariances; simulation output analysis; variance estimation", } @Article{Power:1980:ISU, author = "Leigh R. Power", title = "Internal Sorting Using a Minimal Tree Merge Strategy", journal = j-TOMS, volume = "6", number = "1", pages = "68--79", month = mar, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355873.355879", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "68E05", MRnumber = "80m:68056", bibdate = "Mon Aug 29 08:58:06 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "internal sort; linked list; list processing; merge; minimal tree; natural merge sort; sort; straight merge sort", } @Article{deBoor:1980:SPS, author = "Carl {de Boor} and Richard Weiss", title = "{SOLVEBLOK}: a Package for Solving Almost Block Diagonal Linear Systems", journal = j-TOMS, volume = "6", number = "1", pages = "80--87", month = mar, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355873.355880", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Oct 24 15:50:20 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "almost block diagonal systems; Gaussian elimination; ordinary differential equations; spline approximation", } @Article{deBoor:1980:AS, author = "Carl {de Boor} and Richard Weiss", title = "{Algorithm 546}: {SOLVEBLOK} [{F4}]", journal = j-TOMS, volume = "6", number = "1", pages = "88--91", month = mar, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355873.355881", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Oct 24 15:50:24 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "almost block diagonal systems; Gaussian elimination; ordinary differential equations; spline approximation", } @Article{Duris:1980:AFR, author = "Charles S. Duris", title = "{Algorithm 547}: {FORTRAN} Routines for Discrete Cubic Spline Interpolation and Smoothing [{E1}], [{E3}]", journal = j-TOMS, volume = "6", number = "1", pages = "92--103", month = mar, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355873.355882", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 10:29:10 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "discrete cubic splines; discrete natural splines; discrete splines; interpolation; smoothing", } @Article{Carpaneto:1980:ASA, author = "Giorgio Carpaneto and Paolo Toth", title = "{Algorithm 548}: Solution of the Assignment Problem [{H}]", journal = j-TOMS, volume = "6", number = "1", pages = "104--111", month = mar, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355873.355883", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 10:29:23 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "assignment problem; Hungarian algorithm", } @Article{Eckhardt:1980:AWE, author = "Ulrich Eckhardt", title = "{Algorithm 549}: {Weierstrass}' Elliptic Functions [{S21}]", journal = j-TOMS, volume = "6", number = "1", pages = "112--120", month = mar, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355873.355884", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 10:31:24 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Weierstrass' elliptic functions", } @Article{Messner:1980:ASP, author = "A. M. Messner and G. Q. Taylor", title = "{Algorithm 550}: Solid Polyhedron Measure [{Z}]", journal = j-TOMS, volume = "6", number = "1", pages = "121--130", month = mar, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355873.355885", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 14:44:11 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "graphics; numerical integration; polyhedron", } @Article{Anonymous:1980:AAD, author = "{Anonymous}", title = "{ACM Algorithms Distribution Service} Expanded", journal = j-TOMS, volume = "6", number = "1", pages = "131--132", month = mar, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355873.355886", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 08:58:06 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Chan:1980:NLS, author = "Tony F. Chan and William M. {Coughran, Jr.} and Eric H. Grosse and Michael T. Heath", title = "A Numerical Library and Its Support", journal = j-TOMS, volume = "6", number = "2", pages = "135--145", month = jun, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355887.355888", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 10:33:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "library management and organization; mathematical software; numerical analysis", } @Article{Brent:1980:AIB, author = "Richard P. Brent and Judith A. Hooper and J. Michael Yohe", title = "An {AUGMENT} Interface for {Brent}'s Multiple Precision Arithmetic Package", journal = j-TOMS, volume = "6", number = "2", pages = "146--149", month = jun, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355887.355889", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Mar 09 10:35:33 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Brent:1978:AMF,Brent:1979:RMF,Smith:1998:AMP}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "arithmetic; AUGMENT interface; extended precision; floating point; multiple precision; portable software; precompiler interface; software package", } @Article{Kedem:1980:ADC, author = "Gershon Kedem", title = "Automatic Differentiation of Computer Programs", journal = j-TOMS, volume = "6", number = "2", pages = "150--165", month = jun, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355887.355890", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "68C20 (68F25)", MRnumber = "81g:68058", bibdate = "Mon Aug 29 10:33:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "automatic differentiation; factorable functions", } @Article{Rheinboldt:1980:DSA, author = "Werner C. Rheinboldt and Charles K. Mesztenyi", title = "On a Data Structure for Adaptive Finite Element Mesh Refinements", journal = j-TOMS, volume = "6", number = "2", pages = "166--187", month = jun, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355887.355891", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 10:33:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "access algorithms; finite elements; mesh refinements; tree structure", } @Article{Verwer:1980:ICS, author = "J. G. Verwer", title = "An Implementation of a Class of Stabilized Explicit Methods for the Time Integration of Parabolic Equations", journal = j-TOMS, volume = "6", number = "2", pages = "188--205", month = jun, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355887.355892", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 10:33:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "implementation of time integrators; numerical analysis; parabolic partial differential equations; semidiscretization", } @Article{Munksgaard:1980:SSS, author = "N. Munksgaard", title = "Solving Sparse Symmetric Sets of Linear Equations by Preconditioned Conjugate Gradients", journal = j-TOMS, volume = "6", number = "2", pages = "206--219", month = jun, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355887.355893", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 10:33:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "conjugate gradients; fixed space factorization; linear equations; numerical drop tolerance modification; positive definite; preconditioning; sparse", } @Article{Abdelmalek:1980:SOS, author = "Nabih N. Abdelmalek", title = "{$L_1$} Solution of Overdetermined Systems of Linear Equations", journal = j-TOMS, volume = "6", number = "2", pages = "220--227", month = jun, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355887.355894", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 10:33:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "discrete linear {$L_1$} approximation; dual simplex algorithms; linear programming; overdetermined system of linear equations; triangular decomposition", } @Article{Abdelmalek:1980:AFS, author = "Nabih N. Abdelmalek", title = "{Algorithm 551}: {A FORTRAN} Subroutine for the {$L_1$} Solution of Overdetermined Systems of Linear Equations [{F4}]", journal = j-TOMS, volume = "6", number = "2", pages = "228--230", month = jun, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355887.355895", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 10:44:41 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "discrete linear {$L_1$} approximation; dual simplex algorithms; linear programming; overdetermined system of linear equations; triangular decomposition", } @Article{Barrodale:1980:ASC, author = "I. Barrodale and F. D. K. Roberts", title = "{Algorithm 552}: Solution of the Constrained $\ell_1$ Linear Approximation Problem [{F4}]", journal = j-TOMS, volume = "6", number = "2", pages = "231--235", month = jun, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355887.355896", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 10:46:51 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "constrained $\ell_1$ approximation; linear programming; simplex method", } @Article{Verwer:1980:AME, author = "J. G. Verwer", title = "{Algorithm 553}: {M3RK}, An Explicit Time Integrator for Semidiscrete Parabolic Equations [{D3}]", journal = j-TOMS, volume = "6", number = "2", pages = "236--239", month = jun, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355887.355897", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 10:49:22 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "explicit time integrator; parabolic partial differential equations; semidiscretization", } @Article{More:1980:ABF, author = "J. J. Mor{\'e} and M. Y. Cosnard", title = "{Algorithm 554}: {BRENTM}, {A Fortran} Subroutine for the Numerical Solution of Nonlinear Equations [{F5}]", journal = j-TOMS, volume = "6", number = "2", pages = "240--251", month = jun, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355887.355898", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 10:49:42 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Brent's method; nonlinear equations; numerical solution", } @Article{Watson:1980:ACY, author = "L. T. Watson and D. Fenner", title = "{Algorithm 555}: {Chow-Yorke} Algorithm for Fixed Points or Zeros of ${C}^2$ Maps [{C5}]", journal = j-TOMS, volume = "6", number = "2", pages = "252--259", month = jun, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355887.355899", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 10:17:11 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "continuation method; fixed point; fixed points of nonlinear systems; homotopy method; nonlinear systems; parameterized nonlinear system; zero; zero curve of a homotopy map; zeros of nonlinear systems", } @Article{Gear:1980:RKS, author = "C. W. Gear", title = "{Runge--Kutta} Starters for Multistep Methods", journal = j-TOMS, volume = "6", number = "3", pages = "263--279", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355901", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05", MRnumber = "81m:65119", bibdate = "Mon Aug 29 10:57:24 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "integration; multistep; ordinary differential equations; Runge--Kutta", reviewer = "J. Sprekels", } @Article{Barton:1980:TSS, author = "David Barton", title = "On {Taylor} Series and Stiff Equations", journal = j-TOMS, volume = "6", number = "3", pages = "280--294", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355902", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05", MRnumber = "82e:65078", bibdate = "Mon Aug 29 10:57:24 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "stiff ordinary differential equations; Taylor series", reviewer = "P. M. Dew", } @Article{Jackson:1980:AIV, author = "K. R. Jackson and R. Sacks-Davis", title = "An Alternative Implementation of Variable Step-Size Multistep Formulas for Stiff {ODE}s", journal = j-TOMS, volume = "6", number = "3", pages = "295--318", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355903", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05", MRnumber = "81m:65120", bibdate = "Mon Aug 29 10:57:24 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "backward differential formulas; stiff ODEs; variable step-size methods", reviewer = "Hans J. Stetter", } @Article{Gupta:1980:NAO, author = "G. K. Gupta", title = "A Note About Overhead Costs in {ODE} Solvers", journal = j-TOMS, volume = "6", number = "3", pages = "319--326", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355904", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 10:57:24 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Adams methods; mathematical software; ordinary differential equations; Runge--Kutta methods; software evaluation", } @Article{Coleman:1980:SSI, author = "David Coleman and Paul Holland and Neil Kaden and Virginia Klema and Stephen C. Peters", title = "A System of Subroutines for Iteratively Reweighted Least Squares Computations", journal = j-TOMS, volume = "6", number = "3", pages = "327--336", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355905", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 10:57:24 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "curve fitting; data analysis; least squares; linear algebra; mathematical software; portability; robust estimation; weight functions", } @Article{George:1980:FIM, author = "Alan George and Joseph W. H. Liu", title = "A Fast Implementation of the Minimum Degree Algorithm Using Quotient Graphs", journal = j-TOMS, volume = "6", number = "3", pages = "337--358", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355906", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F05 (68E10)", MRnumber = "82i:65022", bibdate = "Mon Aug 29 10:57:24 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "graph algorithms; mathematical software; ordering algorithms; quotient graphs; sparse linear equations", reviewer = "Niels Munksgaard", } @Article{Bentley:1980:GSL, author = "Jon Louis Bentley and James B. Saxe", title = "Generating Sorted Lists of Random Numbers", journal = j-TOMS, volume = "6", number = "3", pages = "359--364", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355907", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65C10 (68-01)", MRnumber = "81k:65010", bibdate = "Mon Aug 29 10:57:24 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "linear-time algorithm; probabilistic methods in algorithm design; random number generation; sorting", reviewer = "George Marsaglia", } @Article{Amos:1980:CEI, author = "Donald E. Amos", title = "Computation of Exponential Integrals", journal = j-TOMS, volume = "6", number = "3", pages = "365--377", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355908", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D30 (68-04)", MRnumber = "82b:65011", bibdate = "Mon Aug 29 10:57:24 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "exponential integral; Miller algorithm; recursion; Taylor series", reviewer = "M. M. Chawla", } @Article{Arthur:1980:PPA, author = "Jeffrey L. Arthur and A. Ravindran", title = "{PAGP}, a Partitioning Algorithm for (Linear) Goal Programming Problems", journal = j-TOMS, volume = "6", number = "3", pages = "378--386", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355909", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "90C05", MRnumber = "81i:90122", bibdate = "Mon Aug 29 10:57:24 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "constraint partitioning; goal program; multiple objective optimization; simplex method", } @Article{Cheung:1980:MLP, author = "To-Yat Cheung", title = "Multifacility Location Problem with Rectilinear Distance by the Minimum-Cut Approach", journal = j-TOMS, volume = "6", number = "3", pages = "387--390", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355910", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 10:57:24 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "minimum cut; multifacility; optimal location; rectilinear distance", } @Article{Betts:1980:CAC, author = "J. T. Betts", title = "A Compact Algorithm for Computing the Stationary Point of a Quadratic Function Subject to Linear Constraints", journal = j-TOMS, volume = "6", number = "3", pages = "391--397", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355911", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "90C20 (65K05)", MRnumber = "81i:90162", bibdate = "Mon Aug 29 10:57:24 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "orthogonal decomposition; quadratic programming", } @Article{Kaagstrom:1980:ANC, author = "Bo K{\aa}gstr{\"o}m and Axel Ruhe", title = "An Algorithm for Numerical Computation of the {Jordan} Normal Form of a Complex Matrix", journal = j-TOMS, volume = "6", number = "3", pages = "398--419", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355912", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F15 (15A21)", MRnumber = "81m:65054", bibdate = "Fri Aug 26 23:38:10 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "block diagonal form; canonical form; eig; eigenvalues; eigenvectors; Jordan form; Jordan normal form; nla; numerical multiple eigenvalues; principal vectors; software", reviewer = "Petr Liebl", } @Article{Amos:1980:AEI, author = "Donald E. Amos", title = "{Algorithm 556}: Exponential Integrals [{S13}]", journal = j-TOMS, volume = "6", number = "3", pages = "420--428", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355913", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 11:13:05 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See remark in \cite{Amos:1983:REI}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "confluent hypergeometric functions; exponential integrals; Miller algorithm", } @Article{Arthur:1980:APP, author = "J. L. Arthur and A. Ravindran", title = "{Algorithm 557}: {PAGP}, a Partitioning Algorithm for (Linear) Goal Programming Problems [{H}]", journal = j-TOMS, volume = "6", number = "3", pages = "429--429", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355914", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 11:13:53 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "constraint partitioning; goal program; multiple objective optimization; simplex method", } @Article{Cheung:1980:APM, author = "To-Yat Cheung", title = "{Algorithm 558}: a Program for the Multifacility Location Problem with Rectilinear Distance by the Minimum-Cut Approach [{H}]", journal = j-TOMS, volume = "6", number = "3", pages = "430--431", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355915", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 11:14:45 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "minimum cut; multifacility; optimal location; rectilinear distance", } @Article{Betts:1980:ASP, author = "J. T. Betts", title = "{Algorithm 559}: The Stationary Point of a Quadratic Function Subject to Linear Constraints [{E4}]", journal = j-TOMS, volume = "6", number = "3", pages = "432--436", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355916", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 11:15:40 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "orthogonal decomposition; quadratic programming", } @Article{Kaagstroem:1980:AJA, author = "Bo K{\aa{}}gstr{\"o}m and Axel Ruhe", title = "{Algorithm 560}: {JNF}, An Algorithm for Numerical Computation of the {Jordan} Normal Form of a Complex Matrix [{F2}]", journal = j-TOMS, volume = "6", number = "3", pages = "437--443", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355917", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 15:16:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "block diagonal form; canonical form; eig; eigenvalues; eigenvectors; Jordan form; Jordan normal form; nla; principal vectors; software", } @Article{Kahaner:1980:AFI, author = "D. K. Kahaner", title = "{Algorithm 561}: {FORTRAN} Implementation of Heap Programs for Efficient Table Maintenance [{Z}]", journal = j-TOMS, volume = "6", number = "3", pages = "444--449", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355918", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 11:17:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "heap; table maintenance", } @Article{Pape:1980:ASP, author = "U. Pape", title = "{Algorithm 562}: Shortest Path Lengths [{H}]", journal = j-TOMS, volume = "6", number = "3", pages = "450--455", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355919", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 11:17:56 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Pape:1983:RSP}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "shortest path; shortest route problem", } @Article{Harms:1980:RSM, author = "U. Harms and H. Kollakowski and G. M{\"o}ller", title = "Remark on ``{Algorithm} 408: a Sparse Matrix Package (Part 1) [{F4}]''", journal = j-TOMS, volume = "6", number = "3", pages = "456--457", month = sep, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355900.355920", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:06 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{McNamee:1971:SMP}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Machura:1980:SSP, author = "Marek Machura and Roland A. Sweet", title = "A Survey of Software for Partial Differential Equations", journal = j-TOMS, volume = "6", number = "4", pages = "461--488", month = dec, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355921.355922", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65M99 (65-04 65N99)", MRnumber = "81k:65106", bibdate = "Mon Aug 29 11:23:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "partial differential equations; software; survey", } @Article{Kurator:1980:PIS, author = "William G. Kurator and Richard P. O'Neill", title = "{PERUSE}: An Interactive System for Mathematical Programs", journal = j-TOMS, volume = "6", number = "4", pages = "489--509", month = dec, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355921.355923", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 11:23:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "interactive mathematical programming; model auditing; model debugging; model verification", } @Article{Brown:1980:EPB, author = "W. S. Brown and S. I. Feldman", title = "Environment Parameters and Basic Functions for Floating-Point Computation", journal = j-TOMS, volume = "6", number = "4", pages = "510--523", month = dec, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355921.355924", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 11:23:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib; https://www.math.utah.edu/pub/tex/bib/unix.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "environment parameters; floating-point arithmetic; software portability", } @Article{Luk:1980:CSV, author = "Franklin T. Luk", title = "Computing the Singular-Value Decomposition on the {ILLIAC IV}", journal = j-TOMS, volume = "6", number = "4", pages = "524--539", month = dec, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355921.355925", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F15", MRnumber = "81k:65044", bibdate = "Mon Aug 29 11:27:44 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Golub-Reinsch algorithm; Illiac; ILLIAC IV computer; Jacobi-like method; nla; parallel matrix computations; prll; singular-value decomposition; svd", } @Article{Sacks-Davis:1980:FLC, author = "R. Sacks-Davis", title = "Fixed Leading Coefficient Implementation of {SD}-Formulas for Stiff {ODE}s", journal = j-TOMS, volume = "6", number = "4", pages = "540--562", month = dec, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355921.355926", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05", MRnumber = "81k:65084", bibdate = "Mon Aug 29 11:23:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "ordinary differential equations; second-derivative method", } @Article{Bentley:1980:OET, author = "Jon Louis Bentley and Bruce W. Weide and Andrew C. Yao", title = "Optimal Expected-Time Algorithms for Closest Point Problems", journal = j-TOMS, volume = "6", number = "4", pages = "563--580", month = dec, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355921.355927", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "68G10 (52-04 52A45 68E10 90C10)", MRnumber = "82g:68084", bibdate = "Mon Aug 29 11:23:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "closest point problems; computational geometry; minimum spanning trees; nearest neighbor searching; optimal algorithms; probabilistic analysis of algorithms; Voronoi diagrams", reviewer = "Wolfgang Boehm", } @Article{Campbell:1980:TAM, author = "J. B. Campbell", title = "On {Temme}'s Algorithm for the Modified {Bessel} Function of the Third Kind", journal = j-TOMS, volume = "6", number = "4", pages = "581--586", month = dec, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355921.355928", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D20", MRnumber = "82d:65019", bibdate = "Mon Aug 29 11:23:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "mathematical software; Miller's algorithm; modified Bessel functions of the third kind", } @Article{Hoffman:1980:TPG, author = "K. L. Hoffman and D. R. Shier", title = "A Test Problem Generator for Discrete Linear {$L_1$} Approximation Problems", journal = j-TOMS, volume = "6", number = "4", pages = "587--593", month = dec, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355921.355929", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D99 (65K05)", MRnumber = "81m:65042", bibdate = "Mon Aug 29 11:23:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "least absolute deviation; problem generator; test data; {$L_1$} approximation", } @Article{Bartels:1980:LCD, author = "Richard H. Bartels and Andrew R. Conn", title = "Linearly Constrained Discrete $\ell_1$ Problems", journal = j-TOMS, volume = "6", number = "4", pages = "594--608", month = dec, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355921.355930", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "90C33 (65K05)", MRnumber = "82a:90165", bibdate = "Sat Aug 27 15:41:12 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "$\ell_1$ norm; data filling; discrete approximation; l1 approximation; linearly constrained approximation; nlop; software", } @Article{Bartels:1980:APL, author = "Richard H. Bartels and Andrew R. Conn", title = "{Algorithm 563}: a Program for Linearly Constrained Discrete $\ell_1$ Problems", journal = j-TOMS, volume = "6", number = "4", pages = "609--614", month = dec, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355921.355931", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Mar 09 10:22:14 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See remark \cite{Koenker:1996:RBC}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "discrete $\ell_1$ approximation; l1 approximation; linear constraints; nlop; numerical analysis; overdetermined linear systems; software", } @Article{Hoffman:1980:ATP, author = "K. L. Hoffman and D. R. Shier", title = "{Algorithm 564}: a Test Problem Generator for Discrete Linear {$L_1$} Approximation Problems", journal = j-TOMS, volume = "6", number = "4", pages = "615--617", month = dec, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355921.355932", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "least absolute deviation; problem generator; test data; {$L_1$} approximation", } @Article{Shanno:1980:RMU, author = "D. F. Shanno and K. H. Phua", title = "Remark on ``{Algorithm} 500: Minimization of Unconstrained Multivariate Functions [{E4}]''", journal = j-TOMS, volume = "6", number = "4", pages = "618--622", month = dec, year = "1980", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355921.355933", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Sep 30 01:07:08 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Shanno:1976:AMU}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Hiebert:1981:EMS, author = "K. L. Hiebert", title = "An Evaluation of Mathematical Software that Solves Nonlinear Least Squares Problems", journal = j-TOMS, volume = "7", number = "1", pages = "1--16", month = mar, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355934.355935", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Sep 30 01:46:37 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "augmented Gauss--Newton; Gauss--Newton; Levenberg--Marquardt; lsq; nllsq; nlop; nonlinear data fitting; nonlinear least squares; nonlinear regression; quasi-Newton; software evaluation", } @Article{More:1981:TUO, author = "Jorge J. Mor{\'e} and Burton S. Garbow and Kenneth E. Hillstrom", title = "Testing Unconstrained Optimization Software", journal = j-TOMS, volume = "7", number = "1", pages = "17--41", month = mar, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355934.355936", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "90C30", MRnumber = "83b:90144", bibdate = "Mon Aug 29 22:02:12 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "nonlinear least squares; optimization software; performance testing; systems of nonlinear equations; unconstrained minimization", } @Article{Akl:1981:CCG, author = "Selim G. Akl", title = "A Comparison of Combination Generation Methods", journal = j-TOMS, volume = "7", number = "1", pages = "42--45", month = mar, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355934.355937", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 22:02:12 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithm; combinations", } @Article{Fritsch:1981:DIU, author = "F. N. Fritsch and D. K. Kahaner and J. N. Lyness", title = "Double Integration Using One-Dimensional Adaptive Quadrature Routines: a Software Interface Problem", journal = j-TOMS, volume = "7", number = "1", pages = "46--75", month = mar, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355934.355938", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D30", MRnumber = "83c:65033a", bibdate = "Sat Nov 19 13:07:46 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Fritsch:1981:CIU}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "adaptive integration; automatic quadrature routine; double integration; quadrature; software interface", } @Article{Friedman:1981:NPP, author = "Jerome H. Friedman and Margaret H. Wright", title = "A Nested Partitioning Procedure for Numerical Multiple Integration", journal = j-TOMS, volume = "7", number = "1", pages = "76--92", month = mar, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355934.355939", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D30", MRnumber = "83d:65058", bibdate = "Mon Aug 29 22:02:12 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "bounds-constrained optimization; numerical integration; quadrature; recursive partitioning", reviewer = "C. Dagnino", } @Article{Smith:1981:ERA, author = "J. M. Smith and F. W. J. Olver and D. W. Lozier", title = "Extended-Range Arithmetic and Normalized {Legendre} Polynomials", journal = j-TOMS, volume = "7", number = "1", pages = "93--105", month = mar, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355934.355940", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D20 (65G05)", MRnumber = "83a:65017", bibdate = "Mon Aug 29 22:02:12 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "angular momentum; extended-range arithmetic; Legendre polynomials; overflow; underflow", } @Article{Melgaard:1981:GST, author = "David K. Melgaard and Richard F. Sincovec", title = "General Software for Two-Dimensional Nonlinear Partial Differential Equations", journal = j-TOMS, volume = "7", number = "1", pages = "106--125", month = mar, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355934.355941", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65M20", MRnumber = "83a:65082", bibdate = "Mon Aug 29 22:02:12 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "finite differences; method of lines; ordinary differential equations; partial differential equations", } @Article{Melgaard:1981:APS, author = "David K. Melgaard and Richard F. Sincovec", title = "{Algorithm 565}: {PDETWO}\slash {PSETM}\slash {GEARB}: Solution of Systems of Two-Dimensional Nonlinear Partial Differential Equations [{D3}]", journal = j-TOMS, volume = "7", number = "1", pages = "126--135", month = mar, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355934.355942", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 22:16:02 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "finite differences; method of lines; ordinary differential equations; partial differential equations", } @Article{More:1981:AFS, author = "J. J. Mor{\'e} and B. S. Garbow and K. E. Hillstrom", title = "{Algorithm 566}: {FORTRAN} Subroutines for Testing Unconstrained Optimization Software [{C5} [{E4}]]", journal = j-TOMS, volume = "7", number = "1", pages = "136--140", month = mar, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355934.355943", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Nov 19 13:13:44 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Averbukh:1994:RA}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "nonlinear least squares; optimization software; performance testing; systems of nonlinear equations; unconstrained minimization", } @Article{Lozier:1981:AER, author = "D. W. Lozier and J. M. Smith", title = "{Algorithm 567}: Extended-Range Arithmetic and Normalized {Legendre} Polynomials [{A1}], [{C1}]", journal = j-TOMS, volume = "7", number = "1", pages = "141--146", month = mar, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355934.355944", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 22:17:34 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "angular momentum; extended-range arithmetic; Legendre polynomials; overflow; underflow", } @Article{Golub:1981:BLM, author = "Gene H. Golub and Franklin T. Luk and Michael L. Overton", title = "A Block {L{\'a}nczos} Method for Computing the Singular Values of Corresponding Singular Vectors of a Matrix", journal = j-TOMS, volume = "7", number = "2", pages = "149--169", month = jun, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355945.355946", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50 (65F15)", MRnumber = "84h:65045", bibdate = "Fri Sep 30 01:47:15 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "block Lanczos method; Lanczos algorithm; large sparse matrix; nla; singular values; singular vectors; singular-value decomposition; svd; upper-triangular band matrix", } @Article{Wang:1981:PMT, author = "H. H. Wang", title = "A Parallel Method for Tridiagonal Equations", journal = j-TOMS, volume = "7", number = "2", pages = "170--183", month = jun, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355945.355947", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F05", MRnumber = "83d:65092", bibdate = "Mon Aug 29 22:19:35 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "cyclic reduction method; parallel computers; partition method; recursive doubling method; tridiagonal equations; vectors computers", } @Article{Stewart:1981:SIA, author = "William J. Stewart and Alan Jennings", title = "A Simultaneous Iteration Algorithm for Real Matrices", journal = j-TOMS, volume = "7", number = "2", pages = "184--198", month = jun, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355945.355948", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F15", MRnumber = "83d:65118", bibdate = "Mon Aug 29 22:19:35 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "eigenvalues; eigenvectors; large sparse matrices; real unsymmetric matrices; simultaneous iteration", } @Article{Hill:1981:EIR, author = "Geoffrey W. Hill", title = "Evaluation and Inversion of the Ratios of Modified {Bessel} Functions, {$I_1(x)/I_0(x)$} and {$I_{1.5}(x)/I_{0.5}(x)$}", journal = j-TOMS, volume = "7", number = "2", pages = "199--208", month = jun, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355945.355949", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D20", MRnumber = "83d:65046", bibdate = "Mon Aug 29 22:19:35 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "approximation; backward recursion; continued fractions; Fisher distribution; function inversion; modified Bessel function ratios; Newton--Raphson; von Mises distribution", } @Article{Ascher:1981:CSB, author = "U. Ascher and J. Christiansen and R. D. Russell", title = "Collocation Software for Boundary Value {ODE}'s", journal = j-TOMS, volume = "7", number = "2", pages = "209--222", month = jun, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355945.355950", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Sep 30 01:48:04 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, annote = "collocation", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "B-spline; boundary-value problems; collocation; damped Newton's method; error estimates; general-purpose code; mesh selection; ordinary differential equations", } @Article{Ascher:1981:ACC, author = "U. Ascher and J. Christiansen and R. D. Russell", title = "{Algorithm 569}: {COLSYS}: Collocation Software for Boundary-Value {ODEs} [{D2}]", journal = j-TOMS, volume = "7", number = "2", pages = "223--229", month = jun, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355945.355951", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 22:26:51 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Hake:1986:RCC}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "B-spline; boundary-value problems; collocation; damped Newton's method; error estimates; general-purpose code; mesh selection; ordinary differential equations", } @Article{Stewart:1981:ALS, author = "William J. Stewart and Alan Jennings", title = "{Algorithm 570}: {LOPSI}: a Simultaneous Iteration Method for Real Matrices [{F2}]", journal = j-TOMS, volume = "7", number = "2", pages = "230--232", month = jun, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355945.355952", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 22:27:33 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "eigenvalues; eigenvectors; large sparse matrices; real unsymmetric matrices; simultaneous iteration", } @Article{Hill:1981:ASM, author = "Geoffrey W. Hill", title = "{Algorithm 571}: Statistics for von {Mises}' and {Fisher}'s Distributions of Directions: {$I_1(x)/I_0(x)$}, {$I_{1.5}(x)/I_{0.5}(x)$} and Their Inverses [{S14}]", journal = j-TOMS, volume = "7", number = "2", pages = "233--238", month = jun, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355945.355953", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 22:28:34 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "continued fraction; direction statistics; Fisher distribution; function inversion; modified Bessel function ratio; Newton--Raphson; von Mises distribution", } @Article{OLeary:1981:ASH, author = "Dianne P. O'Leary and Olof Widlund", title = "{Algorithm 572}: Solution of the {Helmholtz} Equation for the {Dirichlet} Problem on General Bounded Three-Dimensional Regions [{D3}]", journal = j-TOMS, volume = "7", number = "2", pages = "239--246", month = jun, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355945.355954", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 22:31:55 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "capacitance matrix; conjugate gradients; fast Poisson solvers; Helmholtz equation", } @Article{Hill:1981:RSD, author = "G. W. Hill", title = "Remark on ``{Algorithm} 395: {Student}'s $t$-Distribution''", journal = j-TOMS, volume = "7", number = "2", pages = "247--249", month = jun, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355945.355955", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:07 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Hill:1970:SD,Hill:1970:SQ,elLozy:1979:RAS}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Hill:1981:RSQ, author = "G. W. Hill", title = "Remark on ``{Algorithm} 396: {Student}'s $t$-Quantiles''", journal = j-TOMS, volume = "7", number = "2", pages = "250--251", month = jun, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355945.355956", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:07 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Hill:1970:SQ}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Fritsch:1981:CIU, author = "F. N. Fritsch", title = "Corrigendum: ``{Double} Integration Using One-Dimensional Adaptive Quadrature Routines: a Software Interface Problem''", journal = j-TOMS, volume = "7", number = "2", pages = "252--252", month = jun, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355945.355957", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "252. 65D30", MRnumber = "83c:65033b", bibdate = "Mon Aug 29 22:19:35 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Fritsch:1981:DIU}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Ukkonen:1981:CER, author = "Esko Ukkonen", title = "On the Calculation of the Effects of Roundoff Errors", journal = j-TOMS, volume = "7", number = "3", pages = "259--271", month = sep, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355958.355959", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65G05", MRnumber = "82i:65030", bibdate = "Mon Aug 29 22:44:37 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "automatic roundoff analysis; numerical linear algebra; numerical stability", } @Article{Linnainmaa:1981:SDP, author = "Seppo Linnainmaa", title = "Software for Doubled-Precision Floating-Point Computations", journal = j-TOMS, volume = "7", number = "3", pages = "272--283", month = sep, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355958.355960", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "68B99 (65G99 68C05)", MRnumber = "82h:68041", bibdate = "Mon Aug 29 22:44:37 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "accurate floating-point summation; exact multiplication; floating-point arithmetic; rounding errors; software portability", } @Article{Lii:1981:CBC, author = "K. S. Lii and K. N. Helland", title = "Cross-Bispectrum Computation and Variance Estimation", journal = j-TOMS, volume = "7", number = "3", pages = "284--294", month = sep, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355958.355961", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "62M15", MRnumber = "82m:62213", bibdate = "Mon Aug 29 22:44:37 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "bispectra; time series analysis", } @Article{Dew:1981:SLR, author = "P. M. Dew and J. E. Walsh", title = "A Set of Library Routines for Solving Parabolic Equations in One Space Variable", journal = j-TOMS, volume = "7", number = "3", pages = "295--314", month = sep, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355958.355962", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 11:51:54 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", annote = "parabolic equations", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "method of lines; parabolic equations", } @Article{Duff:1981:AOM, author = "I. S. Duff", title = "On Algorithms for Obtaining a Maximum Transversal", journal = j-TOMS, volume = "7", number = "3", pages = "315--330", month = sep, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355958.355963", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 22:49:58 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "block-triangular form; maximum assignment; maximum transversal; perm; sparse; sparse matrices; unsymmetric permutations", } @Article{McAllister:1981:ACS, author = "David F. McAllister and John A. Roulier", title = "An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline", journal = j-TOMS, volume = "7", number = "3", pages = "331--347", month = sep, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355958.355964", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D07", MRnumber = "82h:65009", bibdate = "Mon Aug 29 22:44:37 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Bernstein polynomial; convexity preserving; geometric design; monotonicity preserving; osculation; parametric curve; polynomial interpolation; shape preserving; spline", } @Article{Dennis:1981:ANL, author = "John E. {Dennis, Jr.} and David M. Gay and Roy E. Welsch", title = "An Adaptive Nonlinear Least-squares Algorithm", journal = j-TOMS, volume = "7", number = "3", pages = "348--368", month = sep, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355958.355965", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Aug 26 23:38:10 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "lsq; nllsq; nlop; nonlinear least squares; nonlinear regression; quasi-Newton methods; secant methods; unconstrained optimization", } @Article{Dennis:1981:ANE, author = "John E. {Dennis, Jr.} and David M. Gay and Roy E. Welsch", title = "{Algorithm 573}: {NL2SOL}\emdash An Adaptive Nonlinear Least-Squares Algorithm [{E4}]", journal = j-TOMS, volume = "7", number = "3", pages = "369--383", month = sep, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355958.355966", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 22:52:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Gay:1983:RNE}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "lsq; nllsq; nlop; nonlinear least squares; nonlinear regression; quasi-Newton methods; secant methods; software; unconstrained optimization", } @Article{McAllister:1981:ASP, author = "D. F. McAllister and J. A. Roulier", title = "{Algorithm 574}: Shape-Preserving Osculatory Quadratic Splines [{E1}, {E2}]", journal = j-TOMS, volume = "7", number = "3", pages = "384--386", month = sep, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355958.355967", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 22:55:24 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Bernstein polynomial; convexity preserving; monotonicity preserving; osculation; polynomial interpolation; shape preserving", } @Article{Duff:1981:APZ, author = "I. S. Duff", title = "{Algorithm 575}: Permutations for a Zero-Free Diagonal [{F1}]", journal = j-TOMS, volume = "7", number = "3", pages = "387--390", month = sep, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355958.355968", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 22:56:49 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "block triangular form; maximum assignment; maximum transversal; sparse matrices; unsymmetric permutations", } @Article{Barrodale:1981:AFP, author = "I. Barrodale and G. F. Stuart", title = "{Algorithm 576}: {A FORTRAN} Program for Solving {${\bf Ax} = {\bf b}$} [{F4}]", journal = j-TOMS, volume = "7", number = "3", pages = "391--397", month = sep, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355958.355969", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 22:57:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Gaussian elimination; linear equations; new pivoting strategy", } @Article{Carlson:1981:AAI, author = "B. C. Carlson and Elaine M. Notis", title = "{Algorithm 577}: Algorithms for Incomplete Elliptic Integrals [{S21}]", journal = j-TOMS, volume = "7", number = "3", pages = "398--403", month = sep, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355958.355970", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 22:58:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "$R$-functions; elliptic integrals; inverse circular functions; inverse hyperbolic functions; logarithms", } @Article{Razaz:1981:RAF, author = "M. Razaz and J. L. Schonfelder", title = "Remark on ``{Algorithm} 498: {Airy} Functions Using {Chebyshev} Series Approximations''", journal = j-TOMS, volume = "7", number = "3", pages = "404--405", month = sep, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355958.355971", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:07 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Prince:1975:AAF}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Shampine:1981:ETS, author = "Lawrence F. Shampine", title = "Evaluation of a Test Set for Stiff {ODE} Solvers", journal = j-TOMS, volume = "7", number = "4", pages = "409--420", month = dec, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355972.355973", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05", MRnumber = "83d:65215", bibdate = "Mon Aug 29 23:03:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "stiff; test set; testing ODE codes", } @Article{Neves:1981:CIE, author = "Kenneth W. Neves", title = "Control of Interpolatory Error in Retarded Differential Equations", journal = j-TOMS, volume = "7", number = "4", pages = "421--444", month = dec, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355972.355974", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L99 (34K99)", MRnumber = "83d:65243", bibdate = "Mon Aug 29 23:03:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "automatic step-size reduction; delay differential equations; derivative jump discontinuities; local error control; Runge--Kutta methods", } @Article{Brown:1981:SRM, author = "W. S. Brown", title = "A Simple but Realistic Model of Floating-Point Computation", journal = j-TOMS, volume = "7", number = "4", pages = "445--480", month = dec, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355972.355975", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 23:03:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib; https://www.math.utah.edu/pub/tex/bib/unix.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "computer arithmetic; environment parameters; error analysis; Euclidean norm; floating-point arithmetic; software portability", } @Article{Marsten:1981:DXL, author = "Roy E. Marsten", title = "The Design of the {XMP} Linear Programming Library", journal = j-TOMS, volume = "7", number = "4", pages = "481--497", month = dec, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355972.355976", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 23:03:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "linear programming; mathematical programming; optimization; software engineering; software libraries", } @Article{Pallottino:1981:EAD, author = "Stefano Pallottino and Tommaso Toffoli", title = "An Efficient Algorithm for Determining the Length of the Longest Dead Path in a ``{LIFO}'' Branch-and-Bound Exploration Schema", journal = j-TOMS, volume = "7", number = "4", pages = "498--504", month = dec, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355972.355977", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Sep 30 01:08:44 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "branch-and-bound; length of longest dead path; LIFO tree search", } @Article{Duff:1981:MSU, author = "I. S. Duff", title = "{ME28}: a Sparse Unsymmetric Linear Equation Solver for Complex Equations", journal = j-TOMS, volume = "7", number = "4", pages = "505--511", month = dec, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355972.355978", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 23:03:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "complex sparse linear equations; drop tolerances; ME28; numerical software; real and complex arithmetic; sparse matrix", } @Article{Fornberg:1981:NDA, author = "Bengt Fornberg", title = "Numerical Differentiation of Analytic Functions", journal = j-TOMS, volume = "7", number = "4", pages = "512--526", month = dec, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355972.355979", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D25", MRnumber = "83d:65056", bibdate = "Mon Aug 29 23:03:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "analytic functions; numerical differentiation; Taylor series coefficients", } @Article{DuCroz:1981:SLF, author = "J. J. {Du Croz} and S. M. Nugent and J. K. Reid and D. B. Taylor", title = "Solving Large Full Sets of Linear Equations in a Paged Virtual Store", journal = j-TOMS, volume = "7", number = "4", pages = "527--536", month = dec, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355972.355980", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 23:03:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Gaussian elimination; paged virtual store", } @Article{DuCroz:1981:ASR, author = "J. J. {Du Croz} and S. M. Nugent and J. K. Reid and D. B. Taylor", title = "{Algorithm 578}: Solution of Real Linear Equations in a Paged Virtual Store [{F4}]", journal = j-TOMS, volume = "7", number = "4", pages = "537--541", month = dec, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355972.355981", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 23:12:14 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Gaussian elimination; paged virtual store", } @Article{Fornberg:1981:ACC, author = "B. Fornberg", title = "{Algorithm 579}: {CPSC}: Complex Power Series Coefficients [{D4}]", journal = j-TOMS, volume = "7", number = "4", pages = "542--547", month = dec, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355972.355982", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 23:12:50 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "analytic functions; numerical differentiation; Taylor series coefficients", } @Article{Buckley:1981:AQS, author = "A. Buckley", title = "{Algorithm 580}: {QRUP}: a Set of {FORTRAN} Routines for Updating {QR} Factorizations [{F5}]", journal = j-TOMS, volume = "7", number = "4", pages = "548--549", month = dec, year = "1981", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355972.355983", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 23:13:39 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Buckley:1982:RQS}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "matrix factorization; orthogonalization", } @Article{Krogh:1982:AAP, author = "Fred T. Krogh", title = "{ACM} Algorithms Policy", journal = j-TOMS, volume = "8", number = "1", pages = "1--4", month = mar, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355984.355985", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 23:14:59 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Hiebert:1982:EMS, author = "K. L. Hiebert", title = "An Evaluation of Mathematical Software That Solves Systems of Nonlinear Equations", journal = j-TOMS, volume = "8", number = "1", pages = "5--20", month = mar, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355984.355986", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 23:14:59 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; Brent's method; Brown's method; performance; quasi-Newton Powell's hybrid method", subject = "D.2.8 [Software Engineering]: Metrics\emdash performance measures; G.1.5 [Numerical Analysis]: Proofs of Nonlinear Equations\emdash systems of equations; G.4 [Mathematics of Computing]: Mathematical Software\emdash certification and testing", } @Article{Dunham:1982:CBC, author = "Charles B. Dunham", title = "Choice of Basis for {Chebyshev} Approximation", journal = j-TOMS, volume = "8", number = "1", pages = "21--25", month = mar, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355984.355987", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "41A50 (65D15)", MRnumber = "84i:41038", bibdate = "Mon Aug 29 23:14:59 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; condition numbers; design; Fraser--Hart--Remez algorithm; polynomials; rational functions", subject = "G.1.2 [Numerical Analysis]: Approximation\emdash Chebyshev approximation and theory", } @Article{Deo:1982:AGF, author = "Narsingh Deo and G. M. Prabhu and M. S. Krishnamoorthy", title = "Algorithms for Generating Fundamental Cycles in a Graph", journal = j-TOMS, volume = "8", number = "1", pages = "26--42", month = mar, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355984.355988", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "68C05 (05C38 68E10)", MRnumber = "83h:68041", bibdate = "Mon Aug 29 23:14:59 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; design; fundamental-cycle set; NP-complete; spanning tree", reviewer = "Sukhamay Kundu", subject = "F.2.2 [Analysis of Algorithms and Problem Complexity]: Nonnumerical algorithms and problems\emdash computations on discrete structures; G.2.2 [Discrete Mathematics]: Graph Theory", } @Article{Paige:1982:LAS, author = "Christopher C. Paige and Michael A. Saunders", title = "{LSQR}: An Algorithm for Sparse Linear Equations and Sparse Least Squares", journal = j-TOMS, volume = "8", number = "1", pages = "43--71", month = mar, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355984.355989", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F10 (65F20)", MRnumber = "83f:65048", bibdate = "Fri Aug 26 23:38:14 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; analysis of variance; conjugate gradients; Lanczos algorithm; lsq; nla", } @Article{Chan:1982:IAC, author = "Tony F. Chan", title = "An Improved Algorithm for Computing the Singular Value Decomposition", journal = j-TOMS, volume = "8", number = "1", pages = "72--83", month = mar, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355984.355990", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F30", MRnumber = "83f:65058", bibdate = "Mon Aug 29 23:23:48 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; Householder transformation; nla; performance; singular values; software; svd", } @Article{Chan:1982:AIA, author = "Tony F. Chan", title = "{Algorithm 581}: An Improved Algorithm for Computing the Singular Value Decomposition [{F1}]", journal = j-TOMS, volume = "8", number = "1", pages = "84--88", month = mar, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355984.355991", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Aug 26 23:38:11 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; nla; singular value decomposition; software; svd", } @Article{Tracht:1982:RNR, author = "Allen E. Tracht", title = "Remark on ``{Algorithm} 334: Normal Random Deviates''", journal = j-TOMS, volume = "8", number = "1", pages = "89--89", month = mar, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355984.355992", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:07 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Bell:1968:NRD}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Shampine:1982:IRM, author = "L. F. Shampine", title = "Implementation of {Rosenbrock} Methods", journal = j-TOMS, volume = "8", number = "2", pages = "93--113", month = jun, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355993.355994", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05", MRnumber = "83f:65115", bibdate = "Mon Aug 29 23:27:37 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; FORTRAN Codes; Rosenbrock Methods; theory", } @Article{Corliss:1982:SOD, author = "George Corliss and Y. F. Chang", title = "Solving Ordinary Differential Equations Using {Taylor} Series", journal = j-TOMS, volume = "8", number = "2", pages = "114--144", month = jun, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355993.355995", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05", MRnumber = "83g:65072", bibdate = "Mon Aug 29 23:27:37 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; performance; Taylor series method", reviewer = "L. F. Shampine", } @Article{Hoaglin:1982:EDA, author = "David C. Hoaglin and Virginia C. Klema and Stephen C. Peters", title = "Exploratory Data Analysis in a Study of the Performance of Nonlinear Optimization Routines", journal = j-TOMS, volume = "8", number = "2", pages = "145--162", month = jun, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355993.355996", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 23:27:37 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "experimentation; performance", } @Article{Ahrens:1982:CGP, author = "J. H. Ahrens and U. Dieter", title = "Computer Generation of {Poisson} Deviates from Modified Normal Distributions", journal = j-TOMS, volume = "8", number = "2", pages = "163--179", month = jun, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355993.355997", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65C10 (60-04 62E99)", MRnumber = "84c:65016", bibdate = "Mon Aug 29 23:31:37 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, country = "USA", date = "13/05/93", descriptors = "RVG", enum = "6930", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "acceptance-rejection method; algorithms; Poisson distribution; theory", language = "English", location = "SEL: Wi", references = "0", reviewer = "James E. Gentle", revision = "16/01/94", } @Article{Lewis:1982:IGP, author = "John G. Lewis", title = "Implementation of the {Gibbs-Poole-Stockmeyer} and {Gibbs}-King Algorithms", journal = j-TOMS, volume = "8", number = "2", pages = "180--189", month = jun, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355993.355998", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 23:27:37 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Algorithms; banded matrix; Gibbs-King algorithms; Gibbs-Poole-Stockmeyer algorithms; matrix bandwidth; matrix profile; matrix wavefront", } @Article{Lewis:1982:AGP, author = "John G. Lewis", title = "{Algorithm 582}: The {Gibbs-Poole-Stockmeyer} and {Gibbs-King} Algorithms for Reordering Sparse Matrices", journal = j-TOMS, volume = "8", number = "2", pages = "190--194", month = jun, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355993.355999", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 23:34:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Algorithms; banded matrix; Gibbs-King algorithms; Gibbs-Poole-Stockmeyer algorithms; matrix bandwidth; matrix profile; matrix wavefront", } @Article{Paige:1982:ALS, author = "Christopher C. Paige and Michael A. Saunders", title = "{Algorithm 583}: {LSQR}: Sparse Linear Equations and Least Squares Problems", journal = j-TOMS, volume = "8", number = "2", pages = "195--209", month = jun, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355993.356000", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Aug 26 23:38:14 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; analysis of variance; conjugate gradients; conjugate-gradient method; Lanczos algorithm; least squares; linear equations; lsq; nla; regression; software; sparse matrix", } @Article{Laurie:1982:ACA, author = "D. P. Laurie", title = "{Algorithm 584}: {CUBTRI}: Automatic Cubature over a Triangle", journal = j-TOMS, volume = "8", number = "2", pages = "210--218", month = jun, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355993.356001", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 23:37:42 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Hanson:1986:RCA}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithm; quadrature rule; theory", } @Article{Flamm:1982:RHE, author = "David S. Flamm and Robert A. Walker", title = "Remark on ``{Algorithm} 506: {HQR3} and {EXCHNG}: {Fortran} Subroutines for Calculating and Ordering the Eigenvalues of a Real Upper {Hessenberg} Matrix [{F2}]''", journal = j-TOMS, volume = "8", number = "2", pages = "219--220", month = jun, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355993.356002", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:07 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Stewart:1976:AHE}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Lewis:1982:RMB, author = "John G. Lewis", title = "Remark on ``{Algorithm}s 508 and 509: Matrix Bandwidth and Profile Reduction [{F1}] and a Hybrid Profile Reduction Algorithm [{F1}]''", journal = j-TOMS, volume = "8", number = "2", pages = "221--221", month = jun, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355993.356003", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:07 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Crane:1976:AMB,Gibbs:1976:AHP}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Ellison:1982:UUI, author = "E. F. D. Ellison and Gautam Mitra", title = "{UIMP}: User Interface for Mathematical Programming", journal = j-TOMS, volume = "8", number = "3", pages = "229--255", month = sep, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356004.356005", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 23:27:37 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://doi.acm.org/10.1145/356004.356005; http://www.acm.org/pubs/citations/journals/toms/1982-8-3/p229-mitra/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "matrix generator; report writer; solution analysis", } @Article{Schreiber:1982:NIS, author = "Robert Schreiber", title = "A New Implementation of Sparse {Gaussian} Elimination", journal = j-TOMS, volume = "8", number = "3", pages = "256--276", month = sep, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356004.356006", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F05", MRnumber = "84d:65020", bibdate = "Mon Aug 29 23:27:37 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; sparse matrix; sparse systems of linear equations; theory", } @Article{Sasaki:1982:EGE, author = "Tateaki Sasaki and Hirokazu Murao", title = "Efficient {Gaussian} Elimination Method for Symbolic Determinants and Linear Systems", journal = j-TOMS, volume = "8", number = "3", pages = "277--289", month = sep, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356004.356007", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F40 (68Q40)", MRnumber = "85b:65037", bibdate = "Mon Aug 29 23:27:37 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; Cramer's method; expansion by minors; Gaussian elimination; symbolic determinant; symbolic linear systems", reviewer = "E. Bareiss", } @Article{Brezinski:1982:ASG, author = "C. Brezinski", title = "{Algorithm 585}: a Subroutine for the General Interpolation and Extrapolation Problems", journal = j-TOMS, volume = "8", number = "3", pages = "290--301", month = sep, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356004.356008", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 23:49:19 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; convergence acceleration; extrapolation; interpolation; least squares approximation; Neville--Aitken scheme", } @Article{Kincaid:1982:AIF, author = "David R. Kincaid and John R. Respess and David M. Young and Roger G. Grimes", title = "{Algorithm 586}: {ITPACK 2C}: {A FORTRAN} Package for Solving Large Sparse Linear Systems by Adaptive Accelerated Iterative Methods", journal = j-TOMS, volume = "8", number = "3", pages = "302--322", month = sep, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356004.356009", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 23:49:22 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; documentation; iterative methods; numerical software; sparse matrix", } @Article{Hanson:1982:ATA, author = "Richard J. Hanson and Karen H. Haskell", title = "{Algorithm 587}: Two Algorithms for the Linearly Constrained Least Squares Problem", journal = j-TOMS, volume = "8", number = "3", pages = "323--333", month = sep, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356004.356010", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Sep 05 20:52:33 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Dadurkevicius:1989:RA}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; covariance matrix; equality constraints; inconsistent constraints; inequality constraints; linear least squares solution", } @Article{Hanson:1982:RPQ, author = "R. J. Hanson", title = "Remark on ``{Algorithm} 507: Procedures for Quintic Natural Spline Interpolation [{E1}]''", journal = j-TOMS, volume = "8", number = "3", pages = "334--334", month = sep, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356004.356011", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:07 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Herriot:1976:APQ}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Wolfe:1982:CCG, author = "Philip Wolfe", title = "Checking the Calculation of Gradients", journal = j-TOMS, volume = "8", number = "4", pages = "337--343", month = dec, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356012.356013", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:02:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "nonlinearity; optimization", } @Article{Anderson:1982:FHT, author = "Walter L. Anderson", title = "Fast {Hankel} Transforms Using Related and Lagged Convolutions", journal = j-TOMS, volume = "8", number = "4", pages = "344--368", month = dec, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356012.356014", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:02:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Bessel functions of the first kind; convolution integrals; Hankel transforms of integer order; linear digital filters", } @Article{Anderson:1982:AFH, author = "Walter L. Anderson", title = "{Algorithm 588}: Fast {Hankel} Transforms Using Related and Lagged Convolutions", journal = j-TOMS, volume = "8", number = "4", pages = "369--370", month = dec, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356012.356015", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:05:54 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Bessel functions of the first kind; convolution integrals; Hankel transforms of integer order; linear digital filters", } @Article{Dongarra:1982:ASF, author = "Jack J. Dongarra", title = "{Algorithm 589}: {SICEDR}: {A FORTRAN} Subroutine for Improving the Accuracy of Computed Matrix Eigenvalues", journal = j-TOMS, volume = "8", number = "4", pages = "371--375", month = dec, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356012.356016", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:05:58 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; eigensystems improvement; iterative method; matrix eigensystems", } @Article{VanDooren:1982:ADE, author = "P. {Van Dooren}", title = "{Algorithm 590}: {DSUBSP} and {EXCHQZ}: {FORTRAN} Subroutines for Computing Deflating Subspaces with Specified Spectrum", journal = j-TOMS, volume = "8", number = "4", pages = "376--382", month = dec, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356012.356017", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 20:17:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Petkov:1984:RDE}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithm; generalized eigenvalue; QZ algorithm", } @Article{Hemmerle:1982:ACM, author = "William J. Hemmerle", title = "{Algorithm 591}: a Comprehensive Matrix-Free Algorithm for Analysis of Variance", journal = j-TOMS, volume = "8", number = "4", pages = "383--401", month = dec, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356012.356018", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:08:00 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algebraic-model specification; algorithms; analysis of variance; balanced data operators; G-inverse solution; hypothesis testing; iterative improvement; linear models; missing cells; rank computations; storage-efficient algorithm; unbalanced data", } @Article{Garbow:1982:RQA, author = "B. S. Garbow", title = "Remark on ``{Algorithm} 535: The {QZ} Algorithm to Solve the Generalized Eigenvalue Problem for Complex Matrices [{F2}]''", journal = j-TOMS, volume = "8", number = "4", pages = "402--402", month = dec, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356012.356019", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:07 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Garbow:1978:AQA,Garbow:1984:RQA}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Dodson:1982:RBL, author = "David S. Dodson and Roger G. Grimes", title = "Remark on ``{Algorithm} 539: {Basic Linear Algebra Subprograms} for {Fortran} Usage [{F1}]''", journal = j-TOMS, volume = "8", number = "4", pages = "403--404", month = dec, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356012.356020", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Sep 05 21:11:37 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Lawson:1979:ABL,Dodson:1983:CRB,Hanson:1987:ATA,Louter-Nool:1988:ATA}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Buckley:1982:RQS, author = "A. Buckley", title = "Remark on ``{Algorithm} 580: {QRUP}: a Set of {FORTRAN} Routines for Updating {QR} Factorizations [{F5}]''", journal = j-TOMS, volume = "8", number = "4", pages = "405--405", month = dec, year = "1982", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356012.356021", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:08 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Buckley:1981:AQS}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Morgan:1983:MCA, author = "Alexander P. Morgan", title = "A Method for Computing All Solutions to Systems of Polynomials Equations", journal = j-TOMS, volume = "9", number = "1", pages = "1--17", month = mar, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356022.356023", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65H10", MRnumber = "85f:65051", bibdate = "Sun Sep 04 19:32:57 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Eugene Allgower", } @Article{Greenberg:1983:FDA, author = "Harvey Greenberg", title = "A Functional Description of {ANALYZE}: a Computer-Assisted Analysis System for Linear Programming Models", journal = j-TOMS, volume = "9", number = "1", pages = "18--56", month = mar, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356022.356024", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 19:32:57 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Beck:1983:RGA, author = "P. Beck and L. Lasdon and M. Engquist", title = "A Reduced Gradient Algorithm for Nonlinear Network Problems", journal = j-TOMS, volume = "9", number = "1", pages = "57--70", month = mar, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356022.356025", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65K10", MRnumber = "84m:65077", bibdate = "Sun Sep 04 19:32:57 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Kailash C. Kapur", } @Article{Hanson:1983:CDE, author = "P. M. Hanson and W. H. Enright", title = "Controlling the defect in existing variable-order {Adams} codes for initial-value problems", journal = j-TOMS, volume = "9", number = "1", pages = "71--97", month = mar, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356022.356026", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05 (65L07)", MRnumber = "85i:65086", bibdate = "Sat Aug 13 17:16:02 MDT 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; reliability; theory", review = "ACM CR 40497", reviewer = "Syvert P. N{\o}rsett", subject = "G.1.4 Mathematics of Computing, NUMERICAL ANALYSIS, Quadrature and Numerical Differentiation, Error analysis \\ G.1.7 Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Error analysis \\ G.1.7 Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Initial value problems", } @Article{Gaffney:1983:AFS, author = "Patrick W. Gaffney", title = "{Algorithm 592}: {A FORTRAN} Subroutine for Computing the Optimal Estimate of {$f(x)$}", journal = j-TOMS, volume = "9", number = "1", pages = "98--116", month = mar, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356022.356027", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Proskurowski:1983:APH, author = "Wlodzimierz Proskurowski", title = "{Algorithm 593}: a Package for the {Helmholtz} Equation in Nonrectangular Planar Regions", journal = j-TOMS, volume = "9", number = "1", pages = "117--124", month = mar, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356022.356028", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Larson:1983:ASR, author = "John L. Larson and Mary E. Pasternak and John A. Wisniewski", title = "{Algorithm 594}: Software for Relative Error Analysis", journal = j-TOMS, volume = "9", number = "1", pages = "125--130", month = mar, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356022.356029", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Martello:1983:AEA, author = "Silvano Martello", title = "{Algorithm 595}: An Enumerative Algorithm for Finding {Hamiltonian} Circuits in a Directed Graph", journal = j-TOMS, volume = "9", number = "1", pages = "131--138", month = mar, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356022.356030", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Gay:1983:RNE, author = "David M. Gay", title = "Remark on ``{Algorithm} 573: {NL2SOL}\emdash An Adaptive Nonlinear Least-Squares Algorithm''", journal = j-TOMS, volume = "9", number = "1", pages = "139--139", month = mar, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356022.356031", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 19:32:57 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Dennis:1981:ANE}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "lsq; nllsq; nlop; software", } @Article{Dodson:1983:CRB, author = "David S. Dodson", title = "Corrigendum: Remark on ``{Algorithm} 539: {Basic Linear Algebra Subroutines} for {FORTRAN} Usage''", journal = j-TOMS, volume = "9", number = "1", pages = "140--140", month = mar, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356022.356032", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Sep 05 21:11:39 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Lawson:1979:ABL,Dodson:1982:RBL,Hanson:1987:ATA,Louter-Nool:1988:ATA}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Fourer:1983:MLV, author = "Robert Fourer", title = "Modeling Languages Versus Matrix Generators for Linear Programming", journal = j-TOMS, volume = "9", number = "2", pages = "143--183", month = jun, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/357456.357457", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 19:43:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Armstrong:1983:CSM, author = "R. D. Armstrong and D. S. Kung and P. Sinha and A. A. Zoltners", title = "A Computational Study of a Multiple-Choice Knapsack Algorithm", journal = j-TOMS, volume = "9", number = "2", pages = "184--198", month = jun, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/357456.357458", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "90C10", MRnumber = "85a:90163", bibdate = "Sun Sep 04 19:43:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Cryer:1983:ESL, author = "C. W. Cryer", title = "The Efficient Solution of Linear Complementarity Problems for Tridiagonal {Minkowski} Matrices", journal = j-TOMS, volume = "9", number = "2", pages = "199--214", month = jun, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/357456.357459", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "90C33 (65F10)", MRnumber = "84j:90088", bibdate = "Sun Sep 04 19:43:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Rheinboldt:1983:LPC, author = "Werner C. Rheinboldt and John V. Burkardt", title = "A Locally Parametrized Continuation Process", journal = j-TOMS, volume = "9", number = "2", pages = "215--235", month = jun, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/357456.357460", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65H10", MRnumber = "85f:65052", bibdate = "Sun Sep 04 19:43:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Dietrich Braess", } @Article{Rheinboldt:1983:APL, author = "Werner C. Rheinboldt and John V. Burkardt", title = "{Algorithm 596}: a Program for a Locally Parametrized Continuation Process", journal = j-TOMS, volume = "9", number = "2", pages = "236--241", month = jun, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/357456.357461", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Aug 29 12:18:04 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Cody:1983:ASM, author = "W. J. Cody", title = "{Algorithm 597}: Sequence of Modified {Bessel} Functions of the First Kind", journal = j-TOMS, volume = "9", number = "2", pages = "242--245", month = jun, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/357456.357462", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Sep 6 22:16:30 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Elementary function approximation G Mathematics of Computing, MISCELLANEOUS", } @Article{Davis:1983:AAC, author = "George J. Davis", title = "{Algorithm 598}: An Algorithm to Compute Solvents of the Matrix Equation {$AX^2 + BX + C = 0$}", journal = j-TOMS, volume = "9", number = "2", pages = "246--254", month = jun, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/357456.357463", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Ahrens:1983:ASG, author = "J. H. Ahrens and K. D. Kohrt and U. Dieter", title = "{Algorithm 599}: Sampling from {Gamma} and {Poisson} Distributions", journal = j-TOMS, volume = "9", number = "2", pages = "255--257", month = jun, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/357456.357464", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 16:10:33 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, country = "USA", date = "13/05/93", descriptors = "RVG", enum = "6932", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", language = "English", location = "SEL: Wi", references = "0", revision = "16/01/94", } @Article{Herriott:1983:ATA, author = "John G. Herriott and Christian H. Reinsch", title = "{Algorithm 600}: Translation of {Algorithm} 507: {Procedures} for Quintic Natural Spline Interpolation", journal = j-TOMS, volume = "9", number = "2", pages = "258--259", month = jun, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/357456.357465", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Sep 5 23:07:55 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, author-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022)", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Pape:1983:RSP, author = "U. Pape", title = "Remark on ``{Algorithm} 562: Shortest Path Lengths''", journal = j-TOMS, volume = "9", number = "2", pages = "260--260", month = jun, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/357456.357466", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 19:43:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Pape:1980:ASP}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Krogh:1983:AAP, author = "Fred T. Krogh", title = "{ACM} Algorithms Policy", journal = j-TOMS, volume = "9", number = "2", pages = "261--264", month = jun, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/357456.357467", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 19:43:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Zave:1983:QEF, author = "Pamela Zave and George E. {Cole, Jr.}", title = "A Quantitative Evaluation of the Feasibility of, and Suitable Hardware Architectures for, an Adaptive, Parallel Finite-Element System", journal = j-TOMS, volume = "9", number = "3", pages = "271--292", month = sep, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356044.356045", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65W05 (65N30)", MRnumber = "86g:65244", bibdate = "Sun Sep 04 19:50:51 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Beny Neta", } @Article{Watkins:1983:NSS, author = "David S. Watkins and Ralph W. HansonSmith", title = "The Numerical Solution of Separably Stiff Systems by Precise Partitioning", journal = j-TOMS, volume = "9", number = "3", pages = "293--301", month = sep, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356044.356046", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05 (65-04)", MRnumber = "86g:65136", bibdate = "Sun Sep 04 19:51:59 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; experimentation; measurement; performance", review = "ACM CR 8406-0468", subject = "G.1.7 Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Initial value problems \\ G.1.7 Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Stiff equations", } @Article{Duff:1983:MSI, author = "I. S. Duff and J. K. Reid", title = "The Multifrontal Solution of Indefinite Sparse Symmetric Linear Systems", journal = j-TOMS, volume = "9", number = "3", pages = "302--325", month = sep, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356044.356047", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50 (65W05)", MRnumber = "86k:65030", bibdate = "Fri Aug 26 23:38:14 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "indefinite system; nla; sparse; symmetric matrix", reviewer = "Stephen W. Brady", } @Article{Tarjan:1983:SEI, author = "Robert E. Tarjan", title = "Space-Efficient Implementations of Graph Search Methods", journal = j-TOMS, volume = "9", number = "3", pages = "326--339", month = sep, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356044.356048", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "68P10", MRnumber = "86m:68023", bibdate = "Sun Sep 04 19:50:51 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{McNamee:1983:SMP, author = "J. M. McNamee", title = "A Sparse Matrix Package\emdash {Part II}: Special Cases", journal = j-TOMS, volume = "9", number = "3", pages = "340--343", month = sep, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356044.356049", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 19:50:51 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{McNamee:1983:ASM, author = "J. M. McNamee", title = "{Algorithm 601}: a Sparse-Matrix Package\emdash {Part II}: Special Cases", journal = j-TOMS, volume = "9", number = "3", pages = "344--345", month = sep, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356044.356050", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Fessler:1983:HAA, author = "Theodore Fessler and William F. Ford and David A. Smith", title = "{HURRY}: An Acceleration Algorithm for Scalar Sequences and Series", journal = j-TOMS, volume = "9", number = "3", pages = "346--354", month = sep, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356044.356051", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65B10", MRnumber = "791 970", bibdate = "Sun Sep 04 19:50:51 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Fessler:1983:AHA, author = "Theodore Fessler and William F. Ford and David A. Smith", title = "{Algorithm 602}: {HURRY}: An Acceleration Algorithm for Scalar Sequences and Series", journal = j-TOMS, volume = "9", number = "3", pages = "355--357", month = sep, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356044.356052", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65B10", MRnumber = "791 971", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Diaz:1983:FPS, author = "J. C. D{\'i}az and G. Fairweather and P. Keast", title = "{FORTRAN} Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination", journal = j-TOMS, volume = "9", number = "3", pages = "358--375", month = sep, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356044.356053", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F05 (65-04)", MRnumber = "791 972", bibdate = "Sun Sep 04 19:50:51 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Diaz:1983:ACA, author = "J. C. D{\'i}az and G. Fairweather and P. Keast", title = "{Algorithm 603}: {COLROW} and {ARCECO}: {FORTRAN} Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination", journal = j-TOMS, volume = "9", number = "3", pages = "376--380", month = sep, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356044.356054", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F05 (65-04)", MRnumber = "791 973", bibdate = "Sun Sep 4 22:04:24 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Diaz:1988:RCA}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Sauer:1983:AFP, author = "Frederick W. Sauer", title = "{Algorithm 604}: a {FORTRAN} Program for the Calculation of an Extremal Polynomial", journal = j-TOMS, volume = "9", number = "3", pages = "381--383", month = sep, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356044.356055", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (65F10 65K10)", MRnumber = "86g:65007", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Hopkins:1983:APV, author = "T. R. Hopkins", title = "{Algorithm 605}: {PBASIC}: a Verifier Program for {American National Standard Minimal BASIC}", journal = j-TOMS, volume = "9", number = "4", pages = "391--394", month = dec, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356056.356057", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Gaffney:1983:NIT, author = "P. W. Gaffney and J. W. Wooten and K. A. Kessel and W. R. McKinney", title = "{NITPACK}: An Interactive Tree Package", journal = j-TOMS, volume = "9", number = "4", pages = "395--417", month = dec, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356056.356058", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 19:56:32 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Gaffney:1983:ANI, author = "P. W. Gaffney and J. W. Wooten and K. A. Kessel and W. R. McKinney", title = "{Algorithm 606}: {NITPACK}: An Interactive Tree Package", journal = j-TOMS, volume = "9", number = "4", pages = "418--426", month = dec, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356056.356059", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Snyder:1983:ATE, author = "W. V. Snyder and R. J. Hanson", title = "{Algorithm 607}: Text Exchange System: a Transportable System for Management and Exchange of Programs and other Text", journal = j-TOMS, volume = "9", number = "4", pages = "427--440", month = dec, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356056.356060", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Horn:1983:CLE, author = "B. K. P. Horn", title = "The Curve of Least Energy", journal = j-TOMS, volume = "9", number = "4", pages = "441--460", month = dec, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356056.356061", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D07 (65D10)", MRnumber = "87c:65009", bibdate = "Sun Sep 04 19:58:16 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "G. P. Bhattacharjee", } @Article{West:1983:AAS, author = "David H. West", title = "{Algorithm 608}: Approximate Solution of the Quadratic Assignment Problem", journal = j-TOMS, volume = "9", number = "4", pages = "461--466", month = dec, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356056.356062", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65K05 (90C10)", MRnumber = "791 976", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Amos:1983:UAE, author = "D. E. Amos", title = "Uniform Asymptotic Expansions for Exponential Integrals ${E}_n(x)$ and {Bickley} Functions $\hbox{Ki}_n(x)$", journal = j-TOMS, volume = "9", number = "4", pages = "467--479", month = dec, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356056.356063", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D20 (33A70)", MRnumber = "87a:65043", bibdate = "Sun Sep 04 19:56:32 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Marietta J. Tretter", } @Article{Amos:1983:APFa, author = "D. E. Amos", title = "{Algorithm 609}: a Portable {FORTRAN} Subroutine for the {Bickley} Functions {$\hbox{Ki}_n(x)$}", journal = j-TOMS, volume = "9", number = "4", pages = "480--493", month = dec, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356056.356064", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D20 (33A70 65-04)", MRnumber = "87a:65044", bibdate = "Sun Sep 4 20:00:39 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Marietta J. Tretter", } @Article{Amos:1983:APFb, author = "D. E. Amos", title = "{Algorithm 610}: a Portable {FORTRAN} Subroutine for Derivatives of the Psi Function", journal = j-TOMS, volume = "9", number = "4", pages = "494--502", month = dec, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356056.356065", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D20", MRnumber = "791 979", bibdate = "Sun Sep 4 20:00:39 1994", bibsource = "ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, catcode = "G.1.0; G.1; G; D.3.2", CRclass = "G.1.0 General; G.1.0 Numerical algorithms; G.1.m Miscellaneous; D.3.2 Language Classifications; D.3.2 FORTRAN", descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms; Mathematics of Computing, NUMERICAL ANALYSIS, Miscellaneous; Mathematics of Computing, MISCELLANEOUS; Software, PROGRAMMING LANGUAGES, Language Classifications, FORTRAN", fjournal = "ACM Transactions on Mathematical Software (TOMS)", genterm = "ALGORITHMS", guideno = "02212", journal-URL = "https://dl.acm.org/loi/toms", subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.m MISCELLANEOUS; D. Software; D.3 PROGRAMMING LANGUAGES", } @Article{Gay:1983:ASU, author = "David M. Gay", title = "{Algorithm 611}: Subroutines for Unconstrained Minimization Using a Model\slash Trust-Region Approach", journal = j-TOMS, volume = "9", number = "4", pages = "503--524", month = dec, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356056.356066", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65K10 (65-04 90C30)", MRnumber = "86f:65111", bibdate = "Fri Aug 26 23:38:14 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "lsq; nllsq; nlop", } @Article{Amos:1983:REI, author = "Donald E. Amos", title = "Remark on ``{Algorithm} 556: Exponential Integrals''", journal = j-TOMS, volume = "9", number = "4", pages = "525--525", month = dec, year = "1983", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356056.356067", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Aug 30 00:28:08 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Amos:1980:AEI}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{deDoncker:1984:AAI, author = "Elise {de Doncker} and Ian Robinson", title = "An Algorithm for Automatic Integration Over a Triangle Using Nonlinear Extrapolation", journal = j-TOMS, volume = "10", number = "1", pages = "1--16", month = mar, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356068.356069", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D30 (65V05)", MRnumber = "86e:65035a", bibdate = "Fri Mar 28 11:00:07 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{deDoncker:1984:ATI, author = "Elise {de Doncker} and Ian Robinson", title = "{Algorithm 612}: {TRIEX}: Integration Over a {TRIangle} Using Nonlinear {EXtrapolation}", journal = j-TOMS, volume = "10", number = "1", pages = "17--22", month = mar, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356068.356070", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D30 (65V05)", MRnumber = "86e:65035b", bibdate = "Sat Oct 24 15:51:01 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://doi.acm.org/10.1145/356068.356070; http://www.acm.org/pubs/citations/journals/toms/1984-10-1/p17-doncker/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Gear:1984:SOD, author = "C. W. Gear and O. {\O}sterby", title = "Solving Ordinary Differential Equations with Discontinuities", journal = j-TOMS, volume = "10", number = "1", pages = "23--44", month = mar, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356068.356071", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05", MRnumber = "86h:65097", bibdate = "Sun Sep 04 20:02:26 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "W. C. Rheinboldt", } @Article{Krogh:1984:ARI, author = "Fred T. Krogh and Kris Stewart", title = "Asymptotic ($h\rightarrow\infty$) Absolute Stability for {BDFs} Applied to Stiff Differential Equations", journal = j-TOMS, volume = "10", number = "1", pages = "45--57", month = mar, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356068.356072", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L20 (65-04)", MRnumber = "86j:65103", bibdate = "Sun Sep 04 20:02:26 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Gh. Adam", } @Article{Gaffney:1984:PES, author = "Patrick W. Gaffney", title = "A Performance Evaluation of Some {FORTRAN} Subroutines for the Solution of Stiff Oscillatory Ordinary Differential Equations", journal = j-TOMS, volume = "10", number = "1", pages = "58--72", month = mar, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356068.356073", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05 (65-04)", MRnumber = "86f:65117", bibdate = "Sun Sep 04 20:02:26 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Kaufman:1984:BES, author = "Linda Kaufman", title = "Banded Eigenvalue Solvers on Vector Machines", journal = j-TOMS, volume = "10", number = "1", pages = "73--85", month = mar, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356068.356074", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65W05 (65F15)", MRnumber = "86f:65223", bibdate = "Fri Sep 30 01:11:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Lenard:1984:RGT, author = "Melanie L. Lenard and Michael Minkoff", title = "Randomly Generated Test Problems for Positive Definite Quadratic Programming", journal = j-TOMS, volume = "10", number = "1", pages = "86--96", month = mar, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356068.356075", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65K10 (90C20)", MRnumber = "86e:65088", bibdate = "Sun Sep 04 20:02:26 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Jones:1984:SRM, author = "Christopher B. Jones", title = "A Significance Rule for Multiple-Precision Arithmetic", journal = j-TOMS, volume = "10", number = "1", pages = "97--107", month = mar, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356068.356076", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65G05 (65G10)", MRnumber = "86e:65063", bibdate = "Sun Sep 04 20:02:26 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", abstract = "Multiple-precision arithmetic overcomes the round-off error incurred in conventional floating-point arithmetic, at the cost of increased processing overhead. Significance arithmetic takes into account the inexactness of the operands of a calculation, but can lead to loss of significant digits after a long series of operations. A new technique is described which alleviates the overhead of multiple-precision arithmetic by allowing nonsignificant digits to be discarded, while limiting the significance loss per operation to a controllable and acceptable rate. The technique is based on storing an inexact number interval, using a criterion of significance to determine the precision with which the limits of interval should be stored. A procedure referred to as a significance rule uses this criterion to remove some of the nonsignificant digits from the limits of an interval prior to storage. A certain number of nonsignificant digits are retained as guard digits. Calculations are performed using exact interval arithmetic and the significance-rule procedure is invoked after each operation to remove superfluous digits. Round-off in the procedure causes a slight increase in the interval width on each operation. This results in a cumulative loss of significance at a rate related to the number of guard digits.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Haymond:1984:AMS, author = "R. E. Haymond and J. P. Jarvis and D. R. Shier", title = "{Algorithm 613}: Minimum Spanning Tree for Moderate Integer Weights", journal = j-TOMS, volume = "10", number = "1", pages = "108--111", month = mar, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/356068.356077", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Shapiro:1984:IRG, author = "Henry D. Shapiro", title = "Increasing Robustness in Global Adaptive Quadrature Through Interval Selection Heuristics", journal = j-TOMS, volume = "10", number = "2", pages = "117--139", month = jun, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/399.400", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D32 (65V05)", MRnumber = "87a:65053", bibdate = "Sun Sep 04 20:09:42 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Sikorski:1984:OQS, author = "K. Sikorski and F. Stenger", title = "Optimal Quadratures in {$H_p$} Spaces", journal = j-TOMS, volume = "10", number = "2", pages = "140--151", month = jun, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/399.448", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D32", MRnumber = "87a:65054a", bibdate = "Sun Sep 04 20:09:42 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "J. B. Butler, Jr.", } @Article{Sikorski:1984:AFS, author = "K. Sikorski and F. Stenger and J. Schwing", title = "{Algorithm 614}: {A FORTRAN} Subroutine for Numerical Integration in {$H_p$}", journal = j-TOMS, volume = "10", number = "2", pages = "152--160", month = jun, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/399.449", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D32 (65-04)", MRnumber = "87a:65054b", bibdate = "Sun Sep 4 20:11:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "J. B. Butler, Jr.", } @Article{Rall:1984:DPS, author = "L. B. Rall", title = "Differentiation in {Pascal-SC}: Type {GRADIENT}", journal = j-TOMS, volume = "10", number = "2", pages = "161--184", month = jun, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/399.418", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D25 (65-04 65H05)", MRnumber = "86j:65025", bibdate = "Sun Sep 04 20:09:42 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Stephen W. Brady", } @Article{Lawrie:1984:CCC, author = "D. H. Lawrie and A. H. Sameh", title = "The Computation and Communication Complexity of a Parallel Banded System Solver", journal = j-TOMS, volume = "10", number = "2", pages = "185--195", month = jun, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/399.401", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65W05 (65F05 68Q25)", MRnumber = "86k:65138", bibdate = "Sat Nov 19 13:08:12 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Lawrie:1985:CCC}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "D. Bini", } @Article{Reid:1984:SAB, author = "J. K. Reid and A. Jennings", title = "On Solving Almost Block Diagonal (Staircase) Linear Systems", journal = j-TOMS, volume = "10", number = "2", pages = "196--201", month = jun, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/399.450", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F05 (65F50 65L10)", MRnumber = "86g:65063", bibdate = "Sun Sep 04 20:09:42 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Armstrong:1984:ABS, author = "R. D. Armstrong and P. O. Beck and M. T. Kung", title = "{Algorithm 615}: The Best Subset of Parameters in Least Absolute Value Regression", journal = j-TOMS, volume = "10", number = "2", pages = "202--206", month = jun, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/399.319410", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D10 (65K05)", MRnumber = "791 987", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Petkov:1984:RDE, author = "P. {Hr.} Petkov and N. D. Christov and M. M. Konstantinov", title = "Remark on ``{Algorithm} 590: {DSUBSP} and {EXCHQZ}: {FORTRAN} Subroutines for Computing Deflating Subspaces with Specified Spectrum''", journal = j-TOMS, volume = "10", number = "2", pages = "207--207", month = jun, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/399.319411", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Oct 24 15:51:05 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{VanDooren:1982:ADE}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Krogh:1984:AAP, author = "Fred T. Krogh", title = "{ACM} Algorithms Policy", journal = j-TOMS, volume = "10", number = "2", pages = "208--211", month = jun, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/399.319412", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 20:09:42 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Dongarra:1984:SMA, author = "Jack J. Dongarra and Stanley C. Eisenstat", title = "Squeezing the Most out of an Algorithm in {CRAY} {FORTRAN}", journal = j-TOMS, volume = "10", number = "3", pages = "219--230", month = sep, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1271.319413", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F99", MRnumber = "791 988", bibdate = "Fri Aug 26 23:38:14 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "cray; fortran; nla; vect", } @Article{Molchanov:1984:PCS, author = "I. N. Molchanov and V. S. Zubatenko and L. D. Nikolenko and M. F. Yakovlev", title = "A Program Complex for Solving Systems of Linear Algebraic Equations", journal = j-TOMS, volume = "10", number = "3", pages = "231--241", month = sep, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1271.1273", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F05 (65F10 65V05)", MRnumber = "86f:65061", bibdate = "Sun Sep 04 20:18:56 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Rivara:1984:DDS, author = "Mar{\'i}a-Cecilia Rivara", title = "Design and Data Structure of Fully Adaptive Multigrid, Finite-Element Software", journal = j-TOMS, volume = "10", number = "3", pages = "242--264", month = sep, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1271.1274", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65N50 (65F50 65N30)", MRnumber = "86f:65207", bibdate = "Sat Aug 27 19:10:37 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Monahan:1984:AFC, author = "John F. Monahan", title = "{Algorithm 616}: Fast Computation of the {Hodges-Lehman} Location Estimator", journal = j-TOMS, volume = "10", number = "3", pages = "265--270", month = sep, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1271.319414", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65U05 (62-04 62G05)", MRnumber = "791 991", bibdate = "Sun Sep 4 20:21:15 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "This paper reduces the previous complexity bound for the {Hodges-Lehman} location estimator from ${O}(n^2\log{n})$ to ${O}(n\log{n})$.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Kronmal:1984:ACA, author = "Richard A. Kronmal and Arthur V. {Peterson, Jr.}", title = "An Acceptance-Complement Analogue of the Mixture-plus-Acceptance-Rejection Method for Generating Random Variables", journal = j-TOMS, volume = "10", number = "3", pages = "271--281", month = sep, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1271.1272", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65C10 (65U05)", MRnumber = "86f:65027", bibdate = "Wed Aug 24 22:43:47 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, country = "USA", date = "13/05/93", descriptors = "RVG", enum = "7548", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", language = "English", location = "SEL: Wi", references = "0", revision = "16/01/94", } @Article{Gill:1984:POP, author = "Philip E. Gill and Walter Murray and Michael A. Saunders and Margaret H. Wright", title = "Procedures for Optimization Problems with a Mixture of Bounds and General Linear Constraints", journal = j-TOMS, volume = "10", number = "3", pages = "282--298", month = sep, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1271.1276", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65K10 (65F30 90C30)", MRnumber = "86h:65091", bibdate = "Sun Sep 04 20:18:56 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Aluffi-Pentini:1984:DEA, author = "Filippo Aluffi-Pentini and Valerio Parisi and Francesco Zirilli", title = "A Differential-Equations Algorithm for Nonlinear Equations", journal = j-TOMS, volume = "10", number = "3", pages = "299--316", month = sep, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1271.1631", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65H10 (65L05)", MRnumber = "87a:65085", bibdate = "Sun Sep 04 20:18:56 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Hj. Wacker", } @Article{Aluffi-Pentini:1984:ADD, author = "Filippo Aluffi-Pentini and Valerio Parisi and Francesco Zirilli", title = "{Algorithm 617}: {DAFNE}: a Differential-Equations Algorithm for Nonlinear Equations", journal = j-TOMS, volume = "10", number = "3", pages = "317--324", month = sep, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1271.1632", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65H10 (65-04 65L05)", MRnumber = "87a:65086", bibdate = "Sun Sep 04 20:18:56 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "Hj. Wacker", } @Article{Regener:1984:MID, author = "Eric Regener", title = "Multiprecision Integer Division Examples Using Arbitrary Radix", journal = j-TOMS, volume = "10", number = "3", pages = "325--328", month = sep, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1271.2738", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65V05", MRnumber = "86g:65241", bibdate = "Sun Sep 04 20:18:56 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{BrinchHansen:1994:MLD}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Coleman:1984:SES, author = "Thomas F. Coleman and Burton S. Garbow and Jorge J. Mor{\'e}", title = "Software for Estimating Sparse {Jacobian} Matrices", journal = j-TOMS, volume = "10", number = "3", pages = "329--345", month = sep, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1271.1610", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50 (65H10)", MRnumber = "86f:65086a", bibdate = "Mon Sep 05 09:48:14 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Coleman:1984:AFS, author = "Thomas F. Coleman and Burton S. Garbow and Jorge J. Mor{\'e}", title = "{Algorithm 618}: {Fortran} Subroutines for Estimating Sparse {Jacobian} Matrices", journal = j-TOMS, volume = "10", number = "3", pages = "346--347", month = sep, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1271.319415", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50 (65-04 65H10)", MRnumber = "86f:65086b", bibdate = "Sun Sep 04 20:28:26 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Piessens:1984:AAN, author = "Robert Piessens and Rudi Huysmans", title = "{Algorithm 619}: Automatic Numerical Inversion of the {Laplace} Transform [{D5}]", journal = j-TOMS, volume = "10", number = "3", pages = "348--353", month = sep, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1271.319416", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65R10", MRnumber = "791 999", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Piessens:1984:RNI, author = "Robert Piessens", title = "Remark on ``{Algorithm} 486: Numerical Inversion of {Laplace} Transform''", journal = j-TOMS, volume = "10", number = "3", pages = "354--354", month = sep, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/1271.319417", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 20:18:56 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Veillon:1977:RNI,Koppelaar:1976:RNI}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Rice:1984:ARK, author = "John R. Rice and Richard J. Hanson", title = "{Algorithm 620}: References and Keywords for {\em {Collected Algorithms} of the {ACM}}", journal = j-TOMS, volume = "10", number = "4", pages = "359--360", month = dec, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/2701.356100", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Mar 28 11:00:44 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Hamilton:1985:RRK,Hopkins:1990:RRK}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Black:1984:NIS, author = "Cheryl M. Black and Robert P. Burton and Thomas H. Miller", title = "The Need for an Industry Standard of Accuracy for Elementary-Function Programs", journal = j-TOMS, volume = "10", number = "4", pages = "361--366", month = dec, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/2701.356101", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D20", MRnumber = "792 000", bibdate = "Sun Sep 04 20:32:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Eiger:1984:BMS, author = "A. Eiger and K. Sikorski and F. Stenger", title = "A Bisection Method for Systems of Nonlinear Equations", journal = j-TOMS, volume = "10", number = "4", pages = "367--377", month = dec, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/2701.2705", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65H10", MRnumber = "86g:65102", bibdate = "Sun Sep 04 20:32:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Sommeijer:1984:ASL, author = "B. P. Sommeijer and P. J. {van der Houwen}", title = "{Algorithm 621}: Software with Low Storage Requirements for Two-Dimensional, Nonlinear, Parabolic Differential Equations", journal = j-TOMS, volume = "10", number = "4", pages = "378--396", month = dec, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/2701.356103", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65M20", MRnumber = "792 002", bibdate = "Sat Oct 24 15:50:58 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Bundy:1984:GIP, author = "Alan Bundy", title = "A Generalized Interval Package and Its Use for Semantic Checking", journal = j-TOMS, volume = "10", number = "4", pages = "397--409", month = dec, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/2701.2702", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65G10", MRnumber = "86g:65088", bibdate = "Sun Sep 04 20:32:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Rice:1984:ASM, author = "John R. Rice and Calvin Ribbens and William A. Ward", title = "{Algorithm 622}: a Simple Macroprocessor", journal = j-TOMS, volume = "10", number = "4", pages = "410--416", month = dec, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/2701.356105", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Tue Mar 09 10:17:12 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See remark \cite{Levin:1998:RAS}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Renka:1984:IDS, author = "Robert J. Renka", title = "Interpolation of Data on the Surface of a Sphere", journal = j-TOMS, volume = "10", number = "4", pages = "417--436", month = dec, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/2701.2703", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D05 (65-04)", MRnumber = "86k:65013a", bibdate = "Sat Aug 13 17:26:53 MDT 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", review = "ACM CR 8511-1051", reviewer = "G. P. Bhattacharjee", subject = "G.1 Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation", } @Article{Renka:1984:AIS, author = "Robert J. Renka", title = "{Algorithm 623}: Interpolation on the Surface of a Sphere", journal = j-TOMS, volume = "10", number = "4", pages = "437--439", month = dec, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/2701.356107", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D05 (65-04)", MRnumber = "86k:65013b", bibdate = "Fri Mar 28 11:02:10 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "G. P. Bhattacharjee", } @Article{Renka:1984:ATI, author = "Robert J. Renka", title = "{Algorithm 624}: Triangulation and Interpolation at Arbitrarily Distributed Points in the Plane", journal = j-TOMS, volume = "10", number = "4", pages = "440--442", month = dec, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/2701.356108", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D05 (65V05)", MRnumber = "792 006", bibdate = "Fri Mar 28 11:02:31 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Rice:1984:NCG, author = "John R. Rice", title = "Numerical Computation with General Two-Dimensional Domains", journal = j-TOMS, volume = "10", number = "4", pages = "443--452", month = dec, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/2701.356109", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65N50", MRnumber = "792 007", bibdate = "Sun Sep 04 20:32:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Rice:1984:ATD, author = "John R. Rice", title = "{Algorithm 625}: a Two-Dimensional Domain Processor", journal = j-TOMS, volume = "10", number = "4", pages = "453--462", month = dec, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/2701.356110", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65N50", MRnumber = "792 008", bibdate = "Fri Mar 28 11:03:12 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Preusser:1984:CCS, author = "Albrecht Preusser", title = "Computing Contours by Successive Solution of Quintic Polynomial Equations", journal = j-TOMS, volume = "10", number = "4", pages = "463--472", month = dec, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/2701.2770", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D05", MRnumber = "792 009", bibdate = "Sun Sep 04 20:32:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Preusser:1984:ATE, author = "Albrecht Preusser", title = "{Algorithm 626}: {TRICP}\emdash a Contour Plot Program for Triangular Meshes", journal = j-TOMS, volume = "10", number = "4", pages = "473--475", month = dec, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/2701.2772", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D05 (65N50)", MRnumber = "792 010", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Garbow:1984:RQA, author = "B. S. Garbow", title = "Remark on ``{Algorithm} 535: The {QZ} Algorithm to Solve the Generalized Eigenvalue Problem for Complex Matrices [{F2}]''", journal = j-TOMS, volume = "10", number = "4", pages = "476--476", month = dec, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/2701.356113", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 20:32:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Garbow:1978:AQA,Garbow:1982:RQA}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Celis:1984:RCE, author = "Pedro Celis", title = "Remark: Corrections and Errors in {John Ivie}'s Some {MACSYMA} Programs for Solving Recurrence Relations", journal = j-TOMS, volume = "10", number = "4", pages = "477--478", month = dec, year = "1984", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/2701.356114", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 20:32:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Ivie:1978:SMP}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Tomlin:1985:IPS, author = "J. A. Tomlin and J. S. Welch", title = "Integration of a Primal Simplex Network Algorithm with a Large-Scale Mathematical Programming System", journal = j-TOMS, volume = "11", number = "1", pages = "1--11", month = mar, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/3147.3163", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65K05 (90C05)", MRnumber = "86h:65087", bibdate = "Sun Sep 04 20:43:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-1/p1-tomlin/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; measurement; performance", subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Linear programming.", } @Article{Davidon:1985:ESD, author = "William C. Davidon and Jorge Nocedal", title = "Evaluation of Step Directions in Optimization Algorithms", journal = j-TOMS, volume = "11", number = "1", pages = "12--19", month = mar, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/3147.3164", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65K10 (90C30)", MRnumber = "86h:65089", bibdate = "Sun Sep 04 20:43:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-1/p12-davidon/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; measurement; performance", subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Gradient methods.", } @Article{Cuyt:1985:CIM, author = "Annie A. M. Cuyt and L. B. Rall", title = "Computational Implementation of the Multivariate {Halley} Method for Solving Nonlinear Systems of Equations", journal = j-TOMS, volume = "11", number = "1", pages = "20--36", month = mar, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/3147.3162", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65H05 (65-04)", MRnumber = "86g:65092", bibdate = "Sun Sep 04 20:43:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-1/p20-cuyt/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; languages", subject = "{\bf G.1.5}: Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations, Iterative methods. {\bf G.1.5}: Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations, Systems of equations. {\bf G.1.m}: Mathematics of Computing, NUMERICAL ANALYSIS, Miscellaneous. {\bf I.1.m}: Computing Methodologies, ALGEBRAIC MANIPULATION, Miscellaneous.", } @Article{Vitter:1985:RSR, author = "Jeffrey Scott Vitter", title = "Random Sampling with a Reservoir", journal = j-TOMS, volume = "11", number = "1", pages = "37--57", month = mar, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/3147.3165", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65C10 (62-04)", MRnumber = "87b:65007", bibdate = "Sun Sep 04 20:43:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-1/p37-vitter/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; design; performance; theory; verification", reviewer = "Brian Conolly", subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS, Probabilistic algorithms (including Monte Carlo). {\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS, Random number generation. {\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS, Statistical software. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis. {\bf D.4.3}: Software, OPERATING SYSTEMS, File Systems Management, Access methods.", } @Article{Bownds:1985:AFS, author = "John M. Bownds and Lee Appelbaum", title = "{Algorithm 627}: a {FORTRAN} Subroutine for Solving {Volterra} Integral Equations", journal = j-TOMS, volume = "11", number = "1", pages = "58--65", month = mar, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/3147.214314", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65R20", MRnumber = "793 057", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-1/p58-bownds/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "documentation; economics; performance", subject = "{\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Chebyshev approximation and theory. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Certification and testing. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Efficiency. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Portability.", } @Article{Winkler:1985:AAC, author = "F. Winkler and B. Buchberger and F. Lichtenberger and H. Rolletschek", title = "{Algorithm 628}: An Algorithm for Constructing Canonical Bases of Polynomial Ideals", journal = j-TOMS, volume = "11", number = "1", pages = "66--78", month = mar, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/3147.214316", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "68Q40 (13-04)", MRnumber = "793 058", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-1/p66-winkler/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE. {\bf I.1.1}: Computing Methodologies, ALGEBRAIC MANIPULATION, Expressions and Their Representation. {\bf I.1.2}: Computing Methodologies, ALGEBRAIC MANIPULATION, Algorithms. {\bf J.2}: Computer Applications, PHYSICAL SCIENCES AND ENGINEERING.", } @Article{Atkinson:1985:AIE, author = "Kendall E. Atkinson", title = "{Algorithm 629}: An Integral Equation Program for {Laplace}'s Equation in Three Dimensions", journal = j-TOMS, volume = "11", number = "2", pages = "85--96", month = jun, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214392.214393", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65N30 (65R20)", MRnumber = "86m:65137", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p85-atkinson/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", reviewer = "H. Kersten", subject = "{\bf G.1.9}: Mathematics of Computing, NUMERICAL ANALYSIS, Integral Equations. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Dembo:1985:TPG, author = "R. S. Dembo and T. Steihaug", title = "A Test Problem Generator for Large-Scale Unconstrained Optimization", journal = j-TOMS, volume = "11", number = "2", pages = "97--102", month = jun, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214392.214394", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65K10 (90C30)", MRnumber = "86h:65090", bibdate = "Sun Sep 04 20:43:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p97-dembo/", abstract = "A test problem generator for large-scale unconstrained optimization is described. It permits the generation of a poorly or well-conditioned problems of arbitrary size, derived from nonlinear network flow models. An eigenvalue analysis provides bounds on the condition number of the Hessian of the objective function and an example of an efficient preconditioner, using these bounds, is outlined.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; experimentation; measurement", subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Nonlinear programming. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Certification and testing. {\bf D.2.5}: Software, SOFTWARE ENGINEERING, Testing and Debugging, Test data generators.", } @Article{Buckley:1985:ABE, author = "A. Buckley and A. LeNir", title = "{Algorithm 630}: {BBVSCG}\emdash a Variable Storage Algorithm for Function Minimization", journal = j-TOMS, volume = "11", number = "2", pages = "103--119", month = jun, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214392.214395; http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p103-buckley/", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See remark \cite{Buckley:1989:RA}.", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1}: Mathematics of Computing, NUMERICAL ANALYSIS. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Gradient methods.", } @Article{Norton:1985:AFB, author = "Victor Norton", title = "{Algorithm 631}: Finding a Bracketed Zero by {Larkin}'s Method of Rational Interpolation", journal = j-TOMS, volume = "11", number = "2", pages = "120--134", month = jun, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214392.214396", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65H05 (65D05)", MRnumber = "797 616", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Norton:1986:RFB}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p120-norton/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", subject = "{\bf G.1.5}: Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations, Iterative methods. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis. {\bf G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation.", } @Article{Martello:1985:APM, author = "Silvano Martello and Paolo Toth", title = "{Algorithm 632}: a Program for the $0-1$ Multiple Knapsack Problem", journal = j-TOMS, volume = "11", number = "2", pages = "135--140", month = jun, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214392.214397", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Sep 30 01:12:05 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p135-martello/", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.2.1}: Mathematics of Computing, DISCRETE MATHEMATICS, Combinatorics, Combinatorial algorithms. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization.", } @Article{Liu:1985:MMD, author = "Joseph W. H. Liu", title = "Modification of the Minimum-Degree Algorithm by Multiple Elimination", journal = j-TOMS, volume = "11", number = "2", pages = "141--153", month = jun, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214392.214398", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50 (65F05)", MRnumber = "86m:65040", bibdate = "Sun Sep 04 20:43:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p141-liu/", abstract = "The most widely used ordering scheme to reduce fills and operations in sparse matrix computation is the minimum-degree algorithm. The notion of {\em multiple elimination} is introduced here as a modification to the conventional scheme. The motivation is discussed using the $k$-by-$k$ grid model problem. Experimental results indicate that the modified version retains the fill-reducing property of (and is often better than) the original ordering algorithm and yet requires less computer time. The reduction in ordering time is problem dependent, and for some problems the modified algorithm can run a few times faster than existing implementations of the minimum-degree algorithm. The use of {\em external degree} in the algorithm is also introduced.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", reviewer = "David R. Kincaid", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse and very large systems. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.", } @Article{Gan:1985:NCG, author = "C. T. Gan", title = "A Note on Combination Generators", journal = j-TOMS, volume = "11", number = "2", pages = "154--156", month = jun, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214392.214401", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 20:43:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p154-gan/", abstract = "A recent study by Akl indicates that Mifsud's algorithm, which involves unnecessary searching operations, is the fastest existing combination generator. A modified Page and Wilson's algorithm, which is essentially similar to Mifsud's algorithm, is presented. A theoretical analysis of the modified algorithm is also given.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.2.1}: Mathematics of Computing, DISCRETE MATHEMATICS, Combinatorics, Combinatorial algorithms. {\bf F.2.2}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical Algorithms and Problems, Computations on discrete structures.", } @Article{Ahrens:1985:SRS, author = "J. H. Ahrens and U. Dieter", title = "Sequential Random Sampling", journal = j-TOMS, volume = "11", number = "2", pages = "157--169", month = jun, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214392.214402", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 20:43:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p157-ahrens/", abstract = "Fast algorithms for selecting a random set of exactly $k$ records from a file of $n$ records are constructed. Selection is sequential: the sample records are chosen in the same order in which they occur in the file. All procedures run in $O(k)$ time. The ``geometric'' method has two versions: with or without $O(k)$ auxiliary space. A further procedure uses hashing techniques and requires $O(k)$ space.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS, Random number generation. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.", } @Article{Ward:1985:AAL, author = "R. C. Ward and G. J. Davis and V. E. Kane", title = "{Algorithm 633}: An Algorithm for Linear Dependency Analysis of Multivariate Data", journal = j-TOMS, volume = "11", number = "2", pages = "170--182", month = jun, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214392.214403", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65U05 (62-04)", MRnumber = "86j:65187", bibdate = "Fri Sep 30 01:12:58 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p170-ward/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "measurement; performance", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra. {\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS, Statistical computing.", } @Article{Novotny:1985:RNS, author = "Milan Novotny", title = "Remark on ``{Algorithm} 30: Numerical Solution of the Polynomial Equation''", journal = j-TOMS, volume = "11", number = "2", pages = "183--184", month = jun, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214392.214404", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 20:43:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Ellenberger:1960:NSP}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p183-novotny/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Hill:1985:RCS, author = "I. D. Hill and M. C. Pike", title = "Remark on ``{Algorithm} 299: Chi-Squared Integral''", journal = j-TOMS, volume = "11", number = "2", pages = "185--185", month = jun, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214392.214405; http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p185-hill/", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Thu Apr 29 15:20:54 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Hill:1967:CSI,elLozy:1976:RAC,elLozy:1979:RAS}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Preusser:1985:RBI, author = "Albrect Preusser", title = "Remark on ``{Algorithm} 526: Bivariate Interpolation and Smooth Surface Fitting for Irregularly Distributed Data Points [{E1}]''", journal = j-TOMS, volume = "11", number = "2", pages = "186--187", month = jun, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214392.214407", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 20:43:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Akima:1978:ABI,Akima:1979:RBI}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p186-preusser/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Lawrie:1985:CCC, author = "D. H. Lawrie and A. H. Sameh", title = "Corrections to ``{The} Computation and Communication Complexity of a Parallel Banded System Solver''", journal = j-TOMS, volume = "11", number = "2", pages = "188--188", month = jun, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214392.356133", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 20:43:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Lawrie:1984:CCC}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Krogh:1985:AAP, author = "Fred T. Krogh", title = "{ACM} Algorithms Policy", journal = j-TOMS, volume = "11", number = "2", pages = "193--196", month = jun, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214392.356134", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 20:43:27 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Bartels:1985:LSF, author = "Richard H. Bartels and John J. Jezioranski", title = "Least-Squares Fitting Using Orthogonal Multinomials", journal = j-TOMS, volume = "11", number = "3", pages = "201--217", month = sep, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214408.214410", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D10", MRnumber = "87f:65016", bibdate = "Sun Sep 04 20:57:44 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p201-bartels/", abstract = "Forsythe has given a method for generating basis polynomials in a single variable that are orthogonal with respect to a given inner product. Weisfeld later demonstrated that Forsythe's approach could be extended to polynomials in an arbitrary number of variables. In this paper we sharpen Weisfeld's results and present a method for computing weighted, multinomial, least-squares approximations to given data.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", reviewer = "Wolfgang Boehm", subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Least squares methods. {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on polynomials.", } @Article{Bartels:1985:ACE, author = "Richard H. Bartels and John J. Jezioranski", title = "{Algorithm 634}: {CONSTR} and {EVAL}: Routines for Fitting Multinomials in a Least-Squares Sense", journal = j-TOMS, volume = "11", number = "3", pages = "218--228", month = sep, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214408.214412", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D10", MRnumber = "87f:65017", bibdate = "Sun Sep 4 20:58:40 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p218-bartels/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", reviewer = "Wolfgang Boehm", subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Least squares methods. {\bf F.1.2}: Theory of Computation, COMPUTATION BY ABSTRACT DEVICES, Modes of Computation.", } @Article{Hull:1985:PRV, author = "T. E. Hull and A. Abrham", title = "Properly Rounded Variable Precision Square Root", journal = j-TOMS, volume = "11", number = "3", pages = "229--237", month = sep, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214408.214413", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D15 (65G05)", MRnumber = "87a:65041", bibdate = "Fri Nov 8 18:01:57 MST 2002", bibsource = "ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p229-hull/; http://www.acm.org/pubs/toc/Abstracts/toms/214413.html", abstract = "The square root function presented here returns a properly rounded approximation to the square root of its argument, or it raises an error condition if the argument is negative. {\em Properly rounded} means rounded to the nearest, or to nearest even in case of a tie. It is {\em variable precision} in that it is designed to return a $p$-digit approximation to a $p$-digit argument, for any $ p > 0 $. (Precision $p$ means $p$ decimal digits.) The program and the analysis are valid for all $ p > 0 $, but current implementations place some restrictions on $p$.", acknowledgement = ack-nhfb, catcode = "G.4; G.4; G.1.0; G.1.2; G.4; G.1.0", CRclass = "G.4 Algorithm analysis; G.4 Verification; G.1.0 General; G.1.0 Numerical algorithms; G.1.2 Approximation; G.1.2 Elementary function approximation; G.4 Certification and testing; G.1.0 General; G.1.0 Error analysis", descriptor = "Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis; Mathematics of Computing, MATHEMATICAL SOFTWARE, Verification; Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms; Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Elementary function approximation; Mathematics of Computing, MATHEMATICAL SOFTWARE, Certification and testing; Mathematics of Computing, NUMERICAL ANALYSIS, General, Error analysis", fjournal = "ACM Transactions on Mathematical Software (TOMS)", genterm = "algorithms; verification", guideno = "02789", journal-URL = "https://dl.acm.org/loi/toms", jrldate = "Sept. 1985", keywords = "algorithms; decimal floating-point arithmetic; verification", subject = "{\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Elementary function approximation. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Certification and testing. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Verification. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Error analysis. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms.", } @Article{Stewart:1985:NCD, author = "G. W. Stewart", title = "A Note on Complex Division", journal = j-TOMS, volume = "11", number = "3", pages = "238--241", month = sep, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214408.214414", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Aug 26 23:38:15 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See corrigendum \cite{Stewart:1986:CNC} and the faster and more robust algorithm in \cite{Priest:2004:ESC}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p238-stewart/", abstract = "An algorithm for computing the quotient of two complex numbers is modified to make it more robust in the presence of underflows.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; complex arithmetic; computer arithmetic; na", subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Reliability and robustness.", } @Article{Streit:1985:AAS, author = "Roy L. Streit", title = "{Algorithm 635}: An Algorithm for the Solution of Systems of Complex Linear Equations in the ${L}_\infty$ Norm with Constraints on the Unknowns", journal = j-TOMS, volume = "11", number = "3", pages = "242--249", month = sep, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214408.214415", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 20:59:33 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p242-streit/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Minimax approximation and algorithms. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods). {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Linear programming.", } @Article{Le:1985:EDF, author = "D. Le", title = "An Efficient Derivative-Free Method for Solving Nonlinear Equations", journal = j-TOMS, volume = "11", number = "3", pages = "250--262", month = sep, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214408.214416", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65H05", MRnumber = "87d:65057", bibdate = "Sat Nov 19 13:08:37 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Le:1989:CED}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p250-le/", abstract = "An algorithm is presented for finding a root of a real function. The algorithm combines bisection with second and third order methods using derivatives estimated from objective function values. Global convergence is ensured and the number of function evaluations is bounded by four times the number needed by bisection. Numerical comparisons with existing algorithms indicate the superiority of the new algorithm in all classes of problems.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", reviewer = "T. Feagin", subject = "{\bf G.1.5}: Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations, Convergence.", } @Article{Tischer:1985:ESN, author = "P. E. Tischer and G. K. Gupta", title = "An Evaluation of Some New Cyclic Linear Multistep Formulas for Stiff {ODEs}", journal = j-TOMS, volume = "11", number = "3", pages = "263--270", month = sep, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214408.214417", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05 (65-04)", MRnumber = "87d:65078", bibdate = "Sun Sep 04 20:57:44 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p263-tischer/", abstract = "We evaluate several sets of cyclic linear multistep formulas (CLMFs). One of these sets was derived by Tischer and Sacks-Davis. Three new sets of formulas have been derived and we present their characteristics.\par The formulas have been evaluated by comparing the performance of four versions of a code which implements CLMFs. The four versions are very similar and each version implements one of the sets of CLMFs being studied. We compare the performance of these codes with that of a widely used code, LSODE. One of the new sets of CLMFs is not only much more efficient in solving stiff problems that have a Jacobian with eigenvalues close to the imaginary axis but is almost as efficient as LSODE in solving other problems. This is a significant improvement over the only other CLMF code available, STINT from Tendler, Bickart, and Picel.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; performance", reviewer = "W. H. Enright", subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations.", } @Article{Johnsson:1985:SNB, author = "S. Lennart Johnsson", title = "Solving Narrow Banded Systems on Ensemble Architectures", journal = j-TOMS, volume = "11", number = "3", pages = "271--288", month = sep, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214408.214418", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65W05 (65F05)", MRnumber = "86m:65170", bibdate = "Sun Sep 04 21:01:13 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p271-johnsson/", abstract = "We present concurrent algorithms for the solution of narrow banded systems on ensemble architectures, and analyze the communication and arithmetic complexities of the algorithms. The algorithms consist of three phases. In phase 1, a block tridiagonal system of reduced size is produced through largely local operations. Diagonal dominance is preserved. If the original system is positive, definite, and symmetric, so is the reduced system. It is solved in a second phase, and the remaining variables obtained through local back substitution in a third phase. With a sufficient number of processing elements, there is no first and third phase. We investigate the arithmetic and communication complexity of Gaussian elimination and block cyclic reduction for the solution of the reduced system on boolean cubes, perfect shuffle and shuffle-exchange networks, binary trees, and linear arrays.\par With an optimum number of processors, the minimum solution time on a linear array is of an order that ranges from $O(m^{2}Nm)$ to $O(m^{3} + m^{3}\log_{2}(N/m))$ depending on the bandwidth, the dimension of the problem, and the times for communication and arithmetic. For boolean cubes, cube-connected cycles, prefect shuffle and shuffle-exchange networks, and binary trees, the minimum time is $O(m^{3}+m^{3}\log_2(N/m))$ including the communication complexity", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; band matrix; linear system; nla; performance; prll", subject = "{\bf C.1.2}: Computer Systems Organization, PROCESSOR ARCHITECTURES, Multiple Data Stream Architectures (Multiprocessors), Multiple-instruction-stream, multiple-data-stream processors (MIMD). {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on matrices. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods). {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis. {\bf I.1.2}: Computing Methodologies, ALGEBRAIC MANIPULATION, Algorithms, Analysis of algorithms.", } @Article{Hall:1985:ESR, author = "George Hall", title = "Equilibrium States of {Runge Kutta} Schemes", journal = j-TOMS, volume = "11", number = "3", pages = "289--301", month = sep, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214408.214424", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05", MRnumber = "87c:65082", bibdate = "Sun Sep 04 20:57:44 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p289-hall/", abstract = "Understanding the behavior of Runge--Kutta codes when stability considerations restrict the stepsize provides useful information for stiffness detection and other implementation details. Analysis of equilibrium states on test problems is presented which provides predictions and insights into this behavior. The implications for global error are also discussed.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", reviewer = "Henning Esser", subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Initial value problems. {\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Single step methods. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.", } @Article{Ericksen:1985:IPT, author = "Wilhelm S. Ericksen", title = "Inverse Pairs of Test Matrices", journal = j-TOMS, volume = "11", number = "3", pages = "302--304", month = sep, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214408.214425", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "15A09 (65F35)", MRnumber = "87f:15002", bibdate = "Sun Sep 04 20:57:44 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p302-ericksen/", abstract = "Algorithms that are readily programmable are provided for constructing inverse pairs of matrices with elements in a field, a division ring, or a ring.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", reviewer = "R. Kala", subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Condition (and ill-condition). {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Conditioning. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Matrix inversion.", } @Article{Hamilton:1985:RRK, author = "Dennis E. Hamilton", title = "Remark on ``{Algorithm} 620: References and Keywords for {\em {Collected Algorithms} of the {ACM}}''", journal = j-TOMS, volume = "11", number = "3", pages = "305--307", month = sep, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/214408.214426", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 20:57:44 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Rice:1984:ARK,Hopkins:1990:RRK}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p305-hamilton/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Boisvert:1985:GFM, author = "Ronald F. Boisvert and Sally E. Howe and David K. Kahaner", title = "{GAMS}: a Framework for the Management of Scientific Software", journal = j-TOMS, volume = "11", number = "4", pages = "313--355", month = dec, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/6187.6188", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 21:06:30 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-4/p313-boisvert/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "documentation; human factors; management", review = "ACM CR 8702-0100", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, GAMS. {\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS, Statistical software. {\bf H.3.5}: Information Systems, INFORMATION STORAGE AND RETRIEVAL, Online Information Services. {\bf D.2.7}: Software, SOFTWARE ENGINEERING, Distribution and Maintenance, Documentation.", } @Article{Davenport:1985:PRA, author = "J. H. Davenport and B. M. Trager", title = "On the Parallel {Risch} Algorithm ({II})", journal = j-TOMS, volume = "11", number = "4", pages = "356--362", month = dec, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/6187.6189", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "12H05 (68Q40)", MRnumber = "87d:12010", bibdate = "Sun Sep 04 21:06:32 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-4/p356-davenport/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory; verification", reviewer = "Michael F. Singer", subject = "{\bf I.1.2}: Computing Methodologies, ALGEBRAIC MANIPULATION, Algorithms.", } @Article{Coleman:1985:SES, author = "Thomas F. Coleman and Burton S. Garbow and Jorge J. Mor{\'e}", title = "Software for Estimating Sparse {Hessian} Matrices", journal = j-TOMS, volume = "11", number = "4", pages = "363--377", month = dec, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/6187.6190", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50 (65K10)", MRnumber = "828 562", bibdate = "Sat Aug 13 17:26:53 MDT 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-4/p363-coleman/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", review = "ACM CR 8710-0876", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse and very large systems. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Nonlinear programming. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Coleman:1985:AFS, author = "Thomas F. Coleman and Burton S. Garbow and Jorge J. Mor{\'e}", title = "{Algorithm 636}: {FORTRAN} subroutines for estimating sparse {Hessian} matrices", journal = j-TOMS, volume = "11", number = "4", pages = "378--378", month = dec, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/6187.6193", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "378. 65F50 (65-04)", MRnumber = "828 563", bibdate = "Sat Aug 27 14:55:36 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "The title of this paper incorrectly said Algorithm 649; it should be {Algorithm 636}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-4/p378-coleman/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf E.1}: Data, DATA STRUCTURES, Graphs. {\bf E.2}: Data, DATA STORAGE REPRESENTATIONS, Linked representations. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra. {\bf G.m}: Mathematics of Computing, MISCELLANEOUS. {\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language Classifications, FORTRAN.", } @Article{Houstis:1985:CSS, author = "E. N. Houstis and W. F. Mitchell and J. R. Rice", title = "Collocation Software for Second-Order Elliptic Partial Differential Equations", journal = j-TOMS, volume = "11", number = "4", pages = "379--412", month = dec, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/6187.6191", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65N35 (65-04)", MRnumber = "87e:65081a", bibdate = "Sun Sep 04 21:07:32 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-4/p379-houstis/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; design; measurement; performance", review = "ACM CR 8702-0097", reviewer = "John Stephenson", subject = "{\bf G.1.8}: Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations, Elliptic equations. {\bf G.1.8}: Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations, Finite element methods.", } @Article{Houstis:1985:AGC, author = "E. N. Houstis and W. F. Mitchell and J. R. Rice", title = "{Algorithm 637}: {GENCOL}: Collocation of General Domains with Bicubic {Hermite} Polynomials", journal = j-TOMS, volume = "11", number = "4", pages = "413--415", month = dec, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/6187.6194", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65N35 (65-04)", MRnumber = "87e:65081b", bibdate = "Sat Aug 27 14:56:32 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-4/p413-houstis/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "John Stephenson", subject = "G.1.8 Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations, Elliptic equations \\ G.1.8 Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations, Finite element methods \\ G.m Mathematics of Computing, MISCELLANEOUS \\ D.3.2 Software, PROGRAMMING LANGUAGES, Language Classifications, FORTRAN", } @Article{Houstis:1985:AIH, author = "E. N. Houstis and W. F. Mitchell and J. R. Rice", title = "{Algorithm 638}: {INTCOL} and {HERMCOL}: Collocation on Rectangular Domains with Bicubic {Hermite} Polynomials", journal = j-TOMS, volume = "11", number = "4", pages = "416--418", month = dec, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/6187.6195", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65N35 (65-04)", MRnumber = "87e:65081c", bibdate = "Sun Sep 04 21:08:06 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-4/p416-houstis/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", reviewer = "John Stephenson", subject = "{\bf G.1.8}: Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations, Elliptic equations. {\bf G.1.8}: Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations, Finite element methods. {\bf G.m}: Mathematics of Computing, MISCELLANEOUS. {\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language Classifications, FORTRAN.", } @Article{Schnabel:1985:MSA, author = "Robert B. Schnabel and John E. Koontz and Barry E. Weiss", title = "A Modular System of Algorithms for Unconstrained Minimization", journal = j-TOMS, volume = "11", number = "4", pages = "419--440", month = dec, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/6187.6192", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65K10 (65-04 90-04 90C30)", MRnumber = "828 567", bibdate = "Sat Aug 13 17:26:53 MDT 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-4/p419-schnabel/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", review = "ACM CR 8702-0093", subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Unconstrained optimization. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, UNCMIN.", } @Article{Er:1985:RG, author = "M. C. Er", title = "Remark on ``{Algorithm} 246: {Graycode} [{Z}]''", journal = j-TOMS, volume = "11", number = "4", pages = "441--443", month = dec, year = "1985", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/6187.356154", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Sep 05 20:42:44 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Boothroyd:1964:G,Misra:1975:RG}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Shampine:1986:FVV, author = "L. F. Shampine and L. S. Baca", title = "Fixed versus Variable Order {Runge--Kutta}", journal = j-TOMS, volume = "12", number = "1", pages = "1--23", month = mar, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/5960.5964", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 21:09:54 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-1/p1-shampine/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; measurement; performance", review = "ACM CR 8702-0096", subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Initial value problems. {\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Single step methods. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Efficiency. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.", } @Article{Lyness:1986:AIS, author = "James Lyness and Gwendolen Hines", title = "{Algorithm 639}: To Integrate Some Infinite Oscillating Tails", journal = j-TOMS, volume = "12", number = "1", pages = "24--25", month = mar, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/5960.214318", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D30 (65D32)", MRnumber = "868 093", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-1/p24-lyness/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.4}: Mathematics of Computing, NUMERICAL ANALYSIS, Quadrature and Numerical Differentiation.", } @Article{Laub:1986:AEC, author = "Alan J. Laub", title = "{Algorithm 640}: Efficient Calculation of Frequency Response Matrices from State Space Models", journal = j-TOMS, volume = "12", number = "1", pages = "26--33", month = mar, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/5960.214319", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-1/p26-laub/", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language Classifications. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods). {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Matrix inversion. {\bf J.2}: Computer Applications, PHYSICAL SCIENCES AND ENGINEERING, Engineering.", } @Article{Deak:1986:EMG, author = "I. Deak", title = "The Economical Method for Generating Random Samples from Discrete Distributions", journal = j-TOMS, volume = "12", number = "1", pages = "34--36", month = mar, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/5960.214321", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 21:11:10 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-1/p34-deak/", abstract = "The idea of the economical method is applied for generating samples from any discrete distribution. In the resulting procedure, the expected number of uniformly distributed random numbers is less than in the alias method (practically 1). A refinement gives a version where in limit just one uniformly distributed number is required at the expense of some storage space.", acknowledgement = ack-nhfb, country = "USA", date = "13/05/93", descriptors = "RVG", enum = "7183", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", language = "English", location = "SEL: Wi", references = "0", revision = "16/01/94", subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS. {\bf I.6.1}: Computing Methodologies, SIMULATION AND MODELING, Simulation Theory.", } @Article{Law:1986:NAM, author = "Kincho H. Law and Steven J. Fenives", title = "A Node-Addition Model for Symbolic Factorization", journal = j-TOMS, volume = "12", number = "1", pages = "37--50", month = mar, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/5960.5963", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F30", MRnumber = "87m:65068", bibdate = "Sun Sep 04 21:11:23 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-1/p37-law/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; measurement; performance; theory; verification", review = "ACM CR 8704-0290", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods). {\bf G.2.2}: Mathematics of Computing, DISCRETE MATHEMATICS, Graph Theory, Graph algorithms. {\bf E.1}: Data, DATA STRUCTURES.", } @Article{Springer:1986:ESG, author = "J{\"o}rn Springer", title = "Exact Solution of General Integer Systems of Linear Equations", journal = j-TOMS, volume = "12", number = "1", pages = "51--61", month = mar, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/5960.5961", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F20", MRnumber = "868 095", bibdate = "Sat Aug 13 17:26:53 MDT 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-1/p51-springer/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", review = "ACM CR 8703-0190", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods). {\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Least squares approximation. {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations in finite fields.", } @Article{Jansen:1986:HAA, author = "Paul Jansen and Peter Weidner", title = "High-Accuracy Arithmetic Software --- Some Tests of the {ACRITH} Problem-Solving Routines", journal = j-TOMS, volume = "12", number = "1", pages = "62--70", month = mar, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/5960.5962", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65Dxx", MRnumber = "868 096", bibdate = "Sat Aug 13 17:26:53 MDT 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-1/p62-jansen/", abstract = "The program package ACRITH (High-Accuracy Arithmetic Subroutine Library) provides FORTRAN subroutines for the solution of several standard mathematical problems. The routines use floating point operations with extended precision and interval arithmetic and are designated especially for the solution of ill-conditioned problems. Test results for most of the routines are presented with emphasis on the practical usability of the package. It turns out that not all routines are of equal high quality and reliability; in the documentation, hints to the implemented numerical algorithms are completely missing, and the error messages are not always concise. Some possible alternatives like symbolic algebra systems or multiple precision packages are mentioned.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", review = "ACM CR 8612-1110", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, ACRITH. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf I.1.3}: Computing Methodologies, ALGEBRAIC MANIPULATION, Languages and Systems, REDUCE. {\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language Classifications, FORTRAN. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Reliability and robustness.", } @Article{Hanson:1986:RCA, author = "Richard J. Hanson", title = "Remark on ``{Algorithm} 584: {CUBTRI}: Automatic Cubature over a Triangle''", journal = j-TOMS, volume = "12", number = "1", pages = "71--71", month = mar, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/5960.356162", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 20:57:44 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Laurie:1982:ACA}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Norton:1986:RFB, author = "Victor Norton", title = "Remark on ``{Algorithm} 631: Finding a Bracketed Zero by {Larkin}'s Method of Rational Interpolation''", journal = j-TOMS, volume = "12", number = "1", pages = "72--72", month = mar, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/5960.356163", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "72. 65H05 (65D05)", MRnumber = "868 097", bibdate = "Mon Sep 05 20:41:38 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Norton:1985:AFB}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Hull:1986:VPE, author = "T. E. Hull and A. Abrham", title = "Variable Precision Exponential Function", journal = j-TOMS, volume = "12", number = "2", pages = "79--91", month = jun, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/6497.6498", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D15 (65D20)", MRnumber = "863 786", bibdate = "Sun Sep 04 21:17:51 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-2/p79-hull/", abstract = "The exponential function presented here returns a result which differs from $e^x$ by less than one unit in the last place, for any representable value of $x$ which is not too close to values for which $e^x$ would overflow or underflow. (For values of $x$ which are not within this range, an error condition is raised.) It is a ``variable precision'' function in that it returns a $p$-digit approximation for a $p$-digit argument, for any $p > 0$ ($p$-digit means $p$-decimal-digit). The program and analysis are valid for all $p > 0$, but current implementations place a restriction on $p$. The program is presented in a Pascal-like programming language called Numerical Turing which has special facilities for scientific computing, including precision control, directed roundings, and built-in functions for getting and setting exponents.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; decimal floating-point arithmetic; theory; verification", review = "ACM CR 8702-0091", subject = "{\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Elementary function approximation. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Certification and testing. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Verification.", } @Article{Dolk:1986:GMM, author = "Daniel R. Dolk", title = "A Generalized Model Management System for Mathematical Programming", journal = j-TOMS, volume = "12", number = "2", pages = "92--126", month = jun, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/6497.6501", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 21:18:01 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-2/p92-dolk/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "human factors; languages; management", review = "ACM CR 8705-0407", subject = "{\bf H.4.2}: Information Systems, INFORMATION SYSTEMS APPLICATIONS, Types of Systems, Decision support. {\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language Classifications, Applicative languages. {\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language Classifications, Nonprocedural languages. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Linear programming. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Nonlinear programming. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Integer programming. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, XMP. {\bf H.2.3}: Information Systems, DATABASE MANAGEMENT, Languages, Query languages. {\bf H.2.4}: Information Systems, DATABASE MANAGEMENT, Systems, Query processing. {\bf D.2.2}: Software, SOFTWARE ENGINEERING, Tools and Techniques, User interfaces. {\bf I.2.1}: Computing Methodologies, ARTIFICIAL INTELLIGENCE, Applications and Expert Systems, GXMP. {\bf I.2.4}: Computing Methodologies, ARTIFICIAL INTELLIGENCE, Knowledge Representation Formalisms and Methods.", } @Article{Liu:1986:CRS, author = "Joseph W. H. Liu", title = "A Compact Row Storage Scheme for {Cholesky} Factors Using Elimination Trees", journal = j-TOMS, volume = "12", number = "2", pages = "127--148", month = jun, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/6497.6499", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F05 (65F50)", MRnumber = "863 787", bibdate = "Sun Sep 04 21:18:32 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-2/p127-liu/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; experimentation; measurement; performance; theory; verification", review = "ACM CR 8703-0191", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse and very large systems. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis. {\bf G.2.2}: Mathematics of Computing, DISCRETE MATHEMATICS, Graph Theory.", } @Article{Springer:1986:AES, author = "J{\"o}rn Springer", title = "{Algorithm 641}: Exact Solution of General Systems of Linear Equations", journal = j-TOMS, volume = "12", number = "2", pages = "149--149", month = jun, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/6497.356167", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 4 21:19:01 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Hutchinson:1986:AFP, author = "M. F. Hutchinson", title = "{Algorithm 642}: a Fast Procedure for Calculating Minimum Cross-Validation Cubic Smoothing Splines", journal = j-TOMS, volume = "12", number = "2", pages = "150--153", month = jun, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/6497.214322", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D10 (65D07)", MRnumber = "863 788", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-2/p150-hutchinson/", abstract = "The procedure CUBGCV is an implementation of a recently developed algorithm for fast $O(n)$ calculation of a cubic smoothing spline fitted to $n$ noisy data points, with the degree of smoothing chosen to minimize the expected mean square error at the data points when the variance of the error associated with the data is known, or, to minimize the generalized cross validation (GCV) when the variance of the error associated with the data is unknown. The data may be unequally spaced and nonuniformly weighted. The algorithm exploits the banded structure of the matrices associated with the cubic smoothing spline problem. Bayesian point error estimates are also calculated in $O(n)$ operations.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation, Smoothing. {\bf G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation, Spline and piecewise polynomial interpolation. {\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Spline and piecewise polynomial approximation. {\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS, Statistical software.", } @Article{Mehta:1986:AFF, author = "Cyrus R. Mehta and Nitin R. Patel", title = "{Algorithm 643}: {FEXACT}: {A FORTRAN} Subroutine for {Fisher}'s Exact Test on Unordered $r\times c$ Contingency Tables", journal = j-TOMS, volume = "12", number = "2", pages = "154--161", month = jun, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/6497.214326", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65U05", MRnumber = "863 789", bibdate = "Tue Mar 9 10:27:54 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See remark \cite{Clarkson:1993:RAF}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-2/p154-mehta/", abstract = "The computer code for Mehta and Patel's (1983) network algorithm for Fisher's exact test on unordered $r\times c$ contingency tables is provided. The code is written in double precision FORTRAN 77. This code provides the fastest currently available method for executing Fisher's exact test, and is shown to be orders of magnitude superior to any other available algorithm. Many important details of data structures and implementation that have contributed crucially to the success of the network algorithm are recorded here.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Nonlinear programming. {\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS, Statistical computing. {\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS, Statistical software.", } @Article{McKeown:1986:IIU, author = "G. P. McKeown", title = "Iterated Interpolation Using a Systolic Array", journal = j-TOMS, volume = "12", number = "2", pages = "162--170", month = jun, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/6497.6500", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 13 17:26:53 MDT 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-2/p162-mckeown/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; design", review = "ACM CR 8703-0161", subject = "{\bf B.6.1}: Hardware, LOGIC DESIGN, Design Styles, Cellular arrays and automata. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Parallel algorithms. {\bf G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation.", } @Article{Krogh:1986:AAP, author = "Fred T. Krogh", title = "{ACM} Algorithms Policy", journal = j-TOMS, volume = "12", number = "2", pages = "171--174", month = jun, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/6497.356171", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 21:20:12 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Hall:1986:ESR, author = "George Hall", title = "Equilibrium States of {Runge--Kutta} Schemes: {Part II}", journal = j-TOMS, volume = "12", number = "3", pages = "183--192", month = sep, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/7921.7922", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05", MRnumber = "88e:65087", bibdate = "Sun Sep 04 21:21:39 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p183-hall/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", reviewer = "Henning Esser", subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Initial value problems. {\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Single step methods. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.", } @Article{Enright:1986:IRK, author = "W. H. Enright and K. R. Jackson and S. P. N{\o}rsett and P. G. Thomsen", title = "Interpolants for {Runge--Kutta} Formulas", journal = j-TOMS, volume = "12", number = "3", pages = "193--218", month = sep, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/7921.7923", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D07 (65L05)", MRnumber = "889 066", bibdate = "Sun Sep 04 21:21:52 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p193-enright/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", review = "ACM CR 8707-0591", subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Single step methods. {\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Error analysis. {\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Initial value problems. {\bf G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation, Interpolation formulas.", } @Article{Kallay:1986:PCM, author = "Michael Kallay", title = "Plane Curves of Minimal Energy", journal = j-TOMS, volume = "12", number = "3", pages = "219--222", month = sep, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/7921.7924", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "53A04 (58E10 73K05)", MRnumber = "89c:53002", bibdate = "Sun Sep 04 21:22:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p219-kallay/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", review = "ACM CR 8706-0499", subject = "{\bf G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation, Spline and piecewise polynomial interpolation. {\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Spline and piecewise polynomial approximation. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Constrained optimization. {\bf I.3.5}: Computing Methodologies, COMPUTER GRAPHICS, Computational Geometry and Object Modeling, Curve, surface, solid, and object representations.", } @Article{Skeel:1986:NBL, author = "Robert D. Skeel and Thu V. Vu", title = "Note on Blended Linear Multistep Formulas", journal = j-TOMS, volume = "12", number = "3", pages = "223--224", month = sep, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/7921.7925", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 13 17:26:53 MDT 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p223-skeel/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Initial value problems. {\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Stiff equations. {\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Single step methods.", } @Article{Sagie:1986:CAM, author = "Ike Sagie", title = "Computer-Aided Modeling and Planning ({CAMP})", journal = j-TOMS, volume = "12", number = "3", pages = "225--248", month = sep, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/7921.15667", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 13 17:26:53 MDT 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p225-sagie/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "economics; languages; management", review = "ACM CR 8710-0893", subject = "{\bf J.6}: Computer Applications, COMPUTER-AIDED ENGINEERING, Computer-aided design (CAD). {\bf H.2.3}: Information Systems, DATABASE MANAGEMENT, Languages. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Linear programming. {\bf H.1.2}: Information Systems, MODELS AND PRINCIPLES, User/Machine Systems, Human factors. {\bf I.6.2}: Computing Methodologies, SIMULATION AND MODELING, Simulation Languages. {\bf I.2.7}: Computing Methodologies, ARTIFICIAL INTELLIGENCE, Natural Language Processing.", } @Article{Liu:1986:SRC, author = "Joseph W. H. Liu", title = "On the Storage Requirement in the Out-of-Core Multifrontal Method for Sparse Factorization", journal = j-TOMS, volume = "12", number = "3", pages = "249--264", month = sep, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/7921.11325", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50", MRnumber = "889 068", bibdate = "Sun Sep 04 21:23:42 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p249-liu/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; performance", review = "ACM CR 8709-0776", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse and very large systems. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.", } @Article{Amos:1986:APP, author = "D. E. Amos", title = "{Algorithm 644}: a Portable Package for {Bessel} Functions of a Complex Argument and Nonnegative Order", journal = j-TOMS, volume = "12", number = "3", pages = "265--273", month = sep, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/7921.214331", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D20", MRnumber = "889 069", bibdate = "Tue Mar 09 10:26:27 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Amos:1990:RPP,Amos:1995:RAP,Kodama:2007:RA}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p265-amos/", abstract = "This algorithm is a package of subroutines for Computing Bessel functions $H_{v}^{(1)}(z)$, $H_{v}^{(2)}(z)$, $I_{v}(z)$, $J_{v}(z)$, $K_{v}(z)$, $Y_{v}(z)$ and Airy functions $\mbox{Ai}(z)$, $\mbox{Ai}'(z)$, $\mbox{Bi}(z)$, $\mbox{Bi}'(z)$ for orders $v \geq 0$ and complex $z$ in $-\pi< \mbox{arg} z \leq \pi$. Eight callable subroutines and their double-precision counterparts are provided. Exponential scaling and sequence generation are auxiliary options.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf G.1.m}: Mathematics of Computing, NUMERICAL ANALYSIS, Miscellaneous. {\bf G.m}: Mathematics of Computing, MISCELLANEOUS.", } @Article{Nash:1986:AST, author = "J. C. Nash and R. L. C. Wang", title = "{Algorithm 645}: Subroutines for Testing Programs that Compute the Generalized Inverse of a Matrix", journal = j-TOMS, volume = "12", number = "3", pages = "274--277", month = sep, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/7921.214334", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F20", MRnumber = "889 070", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p274-nash/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; performance", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods).", } @Article{Crawford:1986:APR, author = "Charles R. Crawford", title = "{Algorithm 646}: {PDFIND}: a Routine to Find a Positive Definite Linear Combination of Two Real Symmetric Matrices", journal = j-TOMS, volume = "12", number = "3", pages = "278--282", month = sep, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/7921.214335", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F30", MRnumber = "889 071", bibdate = "Sun Sep 04 21:24:35 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p278-crawford/", abstract = "PDFIND is a FORTRAN-77 implementation of an algorithm that finds a positive definite linear combination of two symmetric matrices, or determines that such a combination does not exist. The algorithm is designed to be independent of the data structures used to store the matrices. The user must provide a subroutine, CHLSKY, which acts as an interface between PDFIND and the matrix data structures. CHLSKY also provides the user control over the number of iterations of the algorithm. Implementations of CHLSKY are included which call LINPAC routines for full matrices as well as symmetric banded matrices.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; geig; nla; symmetric matrix", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra.", } @Article{Hake:1986:RCC, author = "J.-Fr. Hake", title = "Remark on ``{Algorithm} 569: {COLSYS}: Collocation Software for Boundary-Value {ODEs} [{D2}]''", journal = j-TOMS, volume = "12", number = "3", pages = "283--284", month = sep, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/7921.356181", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Sep 30 01:16:18 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Ascher:1981:ACC}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Stewart:1986:CNC, author = "G. W. Stewart", title = "Corrigendum: ``{A} Note on Complex Division''", journal = j-TOMS, volume = "12", number = "3", pages = "285--285", month = sep, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/7921.356182", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Sep 30 01:17:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Stewart:1985:NCD}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Milovanovic:1986:CEI, author = "G. V. Milovanovi{\'c} and M. S. Petkovi{\'c}", title = "On Computational Efficiency of the Iterative Methods for the Simultaneous Approximation of Polynomial Zeros", journal = j-TOMS, volume = "12", number = "4", pages = "295--306", month = dec, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/22721.8932", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Sep 30 01:39:24 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p274-milovanovic/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "measurement; performance", review = "ACM CR 8707-0590", subject = "{\bf G.1.5}: Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations, Iterative methods.", } @Article{Nazareth:1986:IAO, author = "J. L. Nazareth", title = "Implementation Aids for Optimization Algorithms that Solve Sequences of Linear Programs", journal = j-TOMS, volume = "12", number = "4", pages = "307--323", month = dec, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/22721.22959", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 21:29:30 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-4/p307-nazareth/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; experimentation; languages", review = "ACM CR 8708-0686", subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Linear programming. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Constrained optimization. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Nonlinear programming. {\bf D.2.2}: Software, SOFTWARE ENGINEERING, Tools and Techniques, Modules and interfaces. {\bf D.2.2}: Software, SOFTWARE ENGINEERING, Tools and Techniques, Software libraries. {\bf D.3.3}: Software, PROGRAMMING LANGUAGES, Language Constructs and Features, Modules, packages.", } @Article{Cowell:1986:TFD, author = "Wayne R. Cowell and Christopher P. Thompson", title = "Transforming {Fortran DO} Loops to Improve Performance on Vector Architectures", journal = j-TOMS, volume = "12", number = "4", pages = "324--353", month = dec, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/22721.24035", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 21:30:12 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-4/p324-cowell/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; languages; performance", review = "ACM CR 8712-0989", subject = "{\bf D.2.2}: Software, SOFTWARE ENGINEERING, Tools and Techniques. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra. {\bf C.1.2}: Computer Systems Organization, PROCESSOR ARCHITECTURES, Multiple Data Stream Architectures (Multiprocessors), Array and vector processors.", } @Article{Ostermann:1986:SCP, author = "A. Ostermann and P. Kaps and T. D. Bui", title = "The Solution of a Combustion Problem with {Rosenbrock} Methods", journal = j-TOMS, volume = "12", number = "4", pages = "354--361", month = dec, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/22721.22722", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 21:30:24 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-4/p354-ostermann/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "performance", subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Initial value problems. {\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Stiff equations. {\bf G.1.8}: Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations, Method of lines.", } @Article{Fox:1986:AIR, author = "Bennett L. Fox", title = "{Algorithm 647}: Implementation and Relative Efficiency of Quasirandom Sequence Generators", journal = j-TOMS, volume = "12", number = "4", pages = "362--376", month = dec, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/22721.356187", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Mar 28 10:43:26 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{DiDonato:1986:CIG, author = "Armido R. DiDonato and Alfred H. {Morris, Jr.}", title = "Computation of the Incomplete Gamma Function Ratios and Their Inverse", journal = j-TOMS, volume = "12", number = "4", pages = "377--393", month = dec, year = "1986", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/22721.23109", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 21:31:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-4/p377-didonato/", abstract = "An algorithm is given for computing the incomplete gamma function ratios $ P(a, x) $ and $ Q(a, x) $ for $ a \geq 0 $, $ x \geq 0 $, $ a + x \neq 0 $. Temme's uniform asymptotic expansions are used. The algorithm is robust; results accurate to 14 significant digits can be obtained. An extensive set of coefficients for the Temme expansions is included.\par An algorithm, employing third-order Schr{\"o}der iteration supported by Newton-Raphson iteration, is provided for computing $x$ when $a$, $ P(a, x) $, and $ Q(a, x) $ are given. Three iterations at most are required to obtain 10 significant digit accuracy for $x$.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", review = "ACM CR 8709-0775", subject = "{\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation.", } @Article{Enright:1987:TFP, author = "W. H. Enright and J. D. Pryce", title = "Two {FORTRAN} Packages for Assessing Initial Value Methods", journal = j-TOMS, volume = "13", number = "1", pages = "1--27", month = mar, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/23002.27645", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Nov 19 13:08:36 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Enright:1989:CFP}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-1/p1-enright/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; performance; reliability", review = "ACM CR 8803-0208", subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Initial value problems. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Certification and testing.", } @Article{Enright:1987:ANS, author = "W. H. Enright and J. D. Pryce", title = "{Algorithm 648}: {NSDTST} and {STDTST}: Routines for Assessing the Performance of {IV} Solvers", journal = j-TOMS, volume = "13", number = "1", pages = "28--34", month = mar, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/23002.214338", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 4 21:32:17 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-1/p28-enright/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; performance; reliability", subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Initial value problems. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Certification and testing.", } @Article{Alagar:1987:FLS, author = "Vangalur S. Alagar and David K. Probst", title = "A Fast, Low-Space Algorithm for Multiplying Dense Multivariate Polynomials", journal = j-TOMS, volume = "13", number = "1", pages = "35--57", month = mar, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/23002.27646", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 21:32:38 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-1/p35-alagar/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; design", review = "ACM CR 8802-0114", subject = "{\bf I.1.2}: Computing Methodologies, ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\bf I.1.2}: Computing Methodologies, ALGEBRAIC MANIPULATION, Algorithms, Analysis of algorithms.", } @Article{Vitter:1987:EAS, author = "Jeffrey Scott Vitter", title = "An Efficient Algorithm for Sequential Random Sampling", journal = j-TOMS, volume = "13", number = "1", pages = "58--67", month = mar, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/23002.23003", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 21:32:58 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-1/p58-vitter/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; design; performance", review = "ACM CR 8808-0614", subject = "{\bf F.2.m}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Miscellaneous. {\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS, Statistical software.", } @Article{Foley:1987:IIP, author = "Thomas A. Foley", title = "Interpolation with Interval and Point Tension Controls Using Cubic Weighted $v$-Splines", journal = j-TOMS, volume = "13", number = "1", pages = "68--96", month = mar, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/23002.23004", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D07 (65D05 65D10)", MRnumber = "88h:65023", bibdate = "Sat Nov 19 13:08:26 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Foley:1988:CIP}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-1/p68-foley/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", review = "ACM CR 8802-0098", reviewer = "K. Jetter", subject = "{\bf G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation, Spline and piecewise polynomial interpolation. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Constrained optimization. {\bf I.3.5}: Computing Methodologies, COMPUTER GRAPHICS, Computational Geometry and Object Modeling, Curve, surface, solid, and object representations.", } @Article{Giunta:1987:APC, author = "G. Giunta and A. Murli", title = "{Algorithm 649}: a Package for Computing Trigonometric {Fourier} Coefficients Based on {Lyness}'s Algorithm", journal = j-TOMS, volume = "13", number = "1", pages = "97--107", month = mar, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/23002.214339", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-1/p97-giunta/", abstract = "We present a package that allows the computation of the trigonometric Fourier coefficients of a smooth function. The function can be provided as a subprogram or as a data list of function values at equally spaced points.\par The computational cost of the algorithm does not depend on the required number of Fourier coefficients. Numerical results of comparative tests with a standard integrator for oscillatory functions are also reported.", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.4}: Mathematics of Computing, NUMERICAL ANALYSIS, Quadrature and Numerical Differentiation.", } @Article{Dyksen:1987:IEI, author = "Wayne R. Dyksen and Calvin J. Ribbens", title = "Interactive {ELLPACK}: An Interactive Problem-Solving Environment for Elliptic Partial Differential Equations", journal = j-TOMS, volume = "13", number = "2", pages = "113--132", month = jun, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/328512.328515", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65N99 (65V05)", MRnumber = "88g:65127", bibdate = "Sun Sep 04 21:35:01 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "W. C. Rheinboldt", } @Article{Pardalos:1987:GLS, author = "Panos M. Pardalos", title = "Generation of Large-Scale Quadratic Programs for Use as Global Optimization Test Problems", journal = j-TOMS, volume = "13", number = "2", pages = "133--137", month = jun, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/328512.328516", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "49D40 (90C30 93A15)", MRnumber = "88h:49057", bibdate = "Sun Sep 04 21:35:01 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "G. Di Pillo", } @Article{Johnson:1987:AES, author = "Kenneth C. Johnson", title = "{Algorithm 650}: Efficient Square Root Implementation on the 68000", journal = j-TOMS, volume = "13", number = "2", pages = "138--151", month = jun, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/328512.328520", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D15", MRnumber = "898 489", bibdate = "Sun Sep 4 21:36:32 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Johnson:1987:CES}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Morgan:1987:BBS, author = "Alexander Morgan and Vadim Shapiro", title = "Box-Bisection for Solving Second-Degree Systems and the Problem of Clustering", journal = j-TOMS, volume = "13", number = "2", pages = "152--167", month = jun, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/328512.328521", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65H10", MRnumber = "88e:65063", bibdate = "Sat Nov 19 13:08:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Morgan:1987:CBS}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Monahan:1987:AGC, author = "John F. Monahan", title = "An Algorithm for Generating Chi Random Variables", journal = j-TOMS, volume = "13", number = "2", pages = "168--172", month = jun, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/328512.328522", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65C10", MRnumber = "88d:65013", bibdate = "Sat Nov 19 13:08:24 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Johnson:1987:CES,Monahan:1988:CAG}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Liu:1987:PPS, author = "Joseph W. H. Liu", title = "A Partial Pivoting Strategy for Sparse Symmetric Matrix Decomposition", journal = j-TOMS, volume = "13", number = "2", pages = "173--182", month = jun, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/328512.328525", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F05 (65F50)", MRnumber = "88f:65046", bibdate = "Sun Sep 04 21:35:01 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", reviewer = "R. P. Tewarson", } @Article{Krogh:1987:AAP, author = "Fred T. Krogh", title = "{ACM} Algorithms Policy", journal = j-TOMS, volume = "13", number = "2", pages = "183--186", month = jun, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/328512.328526", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 21:35:01 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Kearfott:1987:STG, author = "R. Baker Kearfott", title = "Some Tests of Generalized Bisection", journal = j-TOMS, volume = "13", number = "3", pages = "197--220", month = sep, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/29380.29862", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65H10", MRnumber = "88m:65081", bibdate = "Sat Nov 19 13:08:33 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Kearfott:1988:CTG}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-3/p197-kearfott/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; performance; theory", subject = "{\bf G.1.5}: Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations, Systems of equations. {\bf G.1.5}: Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations, Polynomials, methods for.", } @Article{Boisvert:1987:FOA, author = "Ronald F. Boisvert", title = "A Fourth-Order-Accurate {Fourier} Method for the {Helmholtz} Equation in Three Dimensions", journal = j-TOMS, volume = "13", number = "3", pages = "221--234", month = sep, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/29380.29863", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65N05", MRnumber = "88m:65149", bibdate = "Sun Sep 04 21:39:43 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-3/p221-boisvert/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory; verification", review = "ACM CR 8808-0622", reviewer = "Ian Gladwell", subject = "G.1.8 Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations, Elliptic equations \\ G.4 Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis", } @Article{Boisvert:1987:AAH, author = "Ronald F. Boisvert", title = "{Algorithm 651}: Algorithm {HFFT}\emdash High-Order Fast-Direct Solution of the {Helmholtz} Equation", journal = j-TOMS, volume = "13", number = "3", pages = "235--249", month = sep, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/29380.214342", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65V05", MRnumber = "918 578", bibdate = "Sun Sep 4 21:40:33 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Johnson:1987:CES}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-3/p235-boisvert/", abstract = "HFFT is a software package for solving the Helmholtz equation on bounded two- and three-dimensional rectangular domains with Dirichlet, Neumann, or periodic boundary conditions. The software is the result of combining new fourth-order accurate compact finite difference (HODIE) discretizations and a fast-direct solution technique (the Fourier method). In this paper we briefly describe the user interface to HFFT and present an example of its usage and several details of its implementation.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory; verification", subject = "{\bf G.1.8}: Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations, Elliptic equations. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.", } @Article{Liu:1987:TPM, author = "Joseph W. H. Liu", title = "On Threshold Pivoting in the Multifrontal Method for Sparse Indefinite Systems", journal = j-TOMS, volume = "13", number = "3", pages = "250--261", month = sep, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/29380.31331", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50 (65F05)", MRnumber = "88j:65089", bibdate = "Sun Sep 04 21:40:49 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-3/p250-liu/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; measurement; performance; theory", review = "ACM CR 8804-0281", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse and very large systems. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.", } @Article{Corana:1987:MMF, author = "A. Corana and M. Marchesi and C. Martini and S. Ridella", title = "Minimizing Multimodal Functions of Continuous Variables with the {``Simulated Annealing''} Algorithm", journal = j-TOMS, volume = "13", number = "3", pages = "262--280", month = sep, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/29380.29864", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "90C30 (65K05)", MRnumber = "88m:90121", bibdate = "Sat Nov 19 13:08:34 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Corana:1989:CMF}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-3/p262-corana/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; performance", review = "ACM CR 8804-0282", subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Nonlinear programming. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Certification and testing. {\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS, Probabilistic algorithms (including Monte Carlo). {\bf F.2.2}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical Algorithms and Problems, Sorting and searching.", } @Article{Watson:1987:AHS, author = "Layne T. Watson and Stephen C. Billups and Alexander P. Morgan", title = "{Algorithm 652}: {HOMPACK}: a Suite of Codes for Globally Convergent Homotopy Algorithms", journal = j-TOMS, volume = "13", number = "3", pages = "281--310", month = sep, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/29380.214343", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65V05 (58C30 65H10 90C30)", MRnumber = "918 581", bibdate = "Sun Sep 4 21:41:46 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-3/p281-watson/", abstract = "There are algorithms for finding zeros or fixed points of nonlinear systems of equations that are globally convergent for almost all starting points, i.e., with probability one. The essence of all such algorithms is the construction of an appropriate homotopy map and then tracking some smooth curve in the zero set of this homotopy map. HOMPACK provides three qualitatively different algorithms for tracking the homotopy zero curve: ordinary differential equation-based, normal flow, and augmented Jacobian matrix. Separate routines are also provided for dense and sparse Jacobian matrices. A high-level driver is included for the special case of polynomial systems.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.5}: Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations, Systems of equations. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Hanson:1987:ATA, author = "R. J. Hanson and F. T. Krogh", title = "{Algorithm 653}: Translation of {Algorithm} 539: {PC-BLAS Basic Linear Algebra Subprograms} for {FORTRAN} Usage with the {INTEL} 8087, 80287 Numeric Data Processor", journal = j-TOMS, volume = "13", number = "3", pages = "311--317", month = sep, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/29380.214346", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Sep 05 23:07:52 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Lawson:1979:ABL,Dodson:1982:RBL,Dodson:1983:CRB,Louter-Nool:1988:ATA}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-3/p311-hanson/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{DiDonato:1987:AFS, author = "Armido R. DiDonato and Alfred H. {Morris, Jr.}", title = "{Algorithm 654}: {FORTRAN} Subroutines for Computing the Incomplete Gamma Function Ratios and their Inverse", journal = j-TOMS, volume = "13", number = "3", pages = "318--319", month = sep, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/29380.214348", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 4 21:43:08 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fortran2.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "https://dl.acm.org/doi/pdf/10.1145/29380.214348", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation. {\bf G.m}: Mathematics of Computing, MISCELLANEOUS.", } @Article{Johnson:1987:CES, author = "Kenneth C. Johnson", title = "Corrigendum: {``Algorithm 650: efficient square root implementation on the 68000'' [{ACM} Trans. Math. Software {\bf 13} (1987), no. 2, 138--151]}", journal = j-TOMS, volume = "13", number = "3", pages = "320--320", month = sep, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/29380.356210", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "320. 65D15", MRnumber = "918 582", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Johnson:1987:AES,Monahan:1987:AGC,Boisvert:1987:AAH}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Bar-On:1987:PPA, author = "Ilan Bar-On", title = "A Practical Parallel Algorithm for Solving Band Symmetric Positive Definite Systems of Linear Equations", journal = j-TOMS, volume = "13", number = "4", pages = "323--332", month = dec, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/35078.35079", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F05 (65W05)", MRnumber = "88m:65048", bibdate = "Sun Sep 04 21:45:57 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-4/p323-bar-on/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; performance; theory", subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Parallel algorithms. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods). {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Matrix inversion.", } @Article{Schoenauer:1987:SCB, author = "Willi Sch{\"o}nauer and Eric Schnepf", title = "Software Considerations for the ``Black Box'' Solver {FIDISOL} for Partial Differential Equations", journal = j-TOMS, volume = "13", number = "4", pages = "333--349", month = dec, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/35078.35080", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Nov 19 13:08:16 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-4/p333-schonauer/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; design", review = "ACM CR 8809-0699", subject = "{\bf G.1.8}: Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations, Difference methods. {\bf G.1.8}: Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations, Elliptic equations. {\bf G.1.8}: Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations, Parabolic equations. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, FIDOSOL.", } @Article{Ahlfeld:1987:NPG, author = "David P. Ahlfeld and John M. Mulvey and Ron S. Dembo and Stavros A. Zenios", title = "Nonlinear Programming on Generalized Networks", journal = j-TOMS, volume = "13", number = "4", pages = "350--367", month = dec, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/35078.42181", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "90C35 (90C30)", MRnumber = "89b:90218", bibdate = "Sun Sep 04 21:47:23 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-4/p350-ahlfeld/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", review = "ACM CR 8810-0796", subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Constrained optimization. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Gradient methods. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Nonlinear programming. {\bf G.2.2}: Mathematics of Computing, DISCRETE MATHEMATICS, Graph Theory, Network problems.", } @Article{Haas:1987:MPR, author = "Alexander Haas", title = "The Multiple Prime Random Number Generator", journal = j-TOMS, volume = "13", number = "4", pages = "368--381", month = dec, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/35078.214349", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65C10", MRnumber = "89h:65018", bibdate = "Sun Sep 04 21:45:57 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-4/p368-haas/", abstract = "A new pseudorandom number generator, the Multiple Prime Random Number Generator, has been developed; it is efficient, conceptually simple, flexible, and easy to program. The generator utilizes cycles around prime numbers to guarantee the length of the period, which can easily be programmed to surpass the maximum period of any other presently available random number generator. There are minimum limits placed on the seed values of the variables because the period of the generator is not a function of the initial values of the variables. The generator passes thirteen standard random number generator tests. It requires only about fifteen lines of FORTRAN code to program and utilizes programming language constructs found in most major languages. Finally, it compares very favorably to the fastest of the other available generators.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; economics; experimentation; performance; reliability", reviewer = "Brian Conolly", subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS, Probabilistic algorithms (including Monte Carlo). {\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS, Random number generation. {\bf I.6.3}: Computing Methodologies, SIMULATION AND MODELING, Applications. {\bf I.6.4}: Computing Methodologies, SIMULATION AND MODELING, Model Validation and Analysis. {\bf J.2}: Computer Applications, PHYSICAL SCIENCES AND ENGINEERING, Mathematics and statistics. {\bf J.4}: Computer Applications, SOCIAL AND BEHAVIORAL SCIENCES, Economics. {\bf J.4}: Computer Applications, SOCIAL AND BEHAVIORAL SCIENCES, Sociology.", } @Article{Schneider:1987:EEA, author = "Michael H. Schneider", title = "The Expanding Equilibrium Algorithm", journal = j-TOMS, volume = "13", number = "4", pages = "382--398", month = dec, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/35078.42322", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 21:48:37 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-4/p382-schneider/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; economics; performance", review = "ACM CR 8812-0937", subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Nonlinear programming. {\bf J.4}: Computer Applications, SOCIAL AND BEHAVIORAL SCIENCES, Economics.", } @Article{Elhay:1987:AIF, author = "Sylvan Elhay and Jaroslav Kautsky", title = "{Algorithm 655}: {IQPACK}: {FORTRAN} Subroutines for the Weights of Interpolatory Quadratures", journal = j-TOMS, volume = "13", number = "4", pages = "399--415", month = dec, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/35078.214351", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 4 21:49:00 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-4/p399-elhay/", abstract = "We present FORTRAN subroutines that implement the method described in [3] for the stable evaluation of the weights of interpolatory quadratures with prescribed simple or multiple knots. Given a set of knots and their multiplicities, the package generates the weights by using the zeroth moment $\mu_{0}$ of $w$, the weight function in the integrand, and the (symmetric tridiagonal) Jacobi matrix $J$ associated with the polynomials orthogonal on $(a, b)$ with respect to $w$. There are utility routines that generate $\mu_{0}$ and $J$ for classical weight functions, but quadratures can be generated for any $\mu_{0}$ and $J$ supplied by the user. Utility routines are also provided that (1) evaluate a computed quadrature, applied to a user-supplied integrand, (2) check the polynomial order of precision of a quadrature formula, and (3) compute the knots and weights of simple Gaussian quadrature formula.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf G.1.4}: Mathematics of Computing, NUMERICAL ANALYSIS, Quadrature and Numerical Differentiation, Gaussian quadrature.", } @Article{Morgan:1987:CBS, author = "Alexander Morgan and Vadim Shapiro", title = "Corrigendum: ``{Box-Bisection} for Solving Second-Degree Systems and the Problem of Clustering''", journal = j-TOMS, volume = "13", number = "4", pages = "416--416", month = dec, year = "1987", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/35078.356217", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65H10", MRnumber = "89a:65088, 88e:65063", bibdate = "Sun Sep 04 21:45:57 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Morgan:1987:BBS}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Dongarra:1988:ESF, author = "Jack J. Dongarra and Jeremy {Du Croz} and Sven Hammarling and Richard J. Hanson", title = "An Extended Set of {FORTRAN Basic Linear Algebra Subprograms}", journal = j-TOMS, volume = "14", number = "1", pages = "1--17", month = mar, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/42288.42291", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Nov 19 13:08:30 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Dongarra:1988:CES}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-1/p1-dongarra/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; standardization", review = "ACM CR 8812-0940", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Portability. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra.", } @Article{Dongarra:1988:AES, author = "Jack J. Dongarra and Jeremy {Du Croz} and Sven Hammarling and Richard J. Hanson", title = "{Algorithm 656}: An Extended Set of {Basic Linear Algebra Subprograms}: Model Implementation and Test Programs", journal = j-TOMS, volume = "14", number = "1", pages = "18--32", month = mar, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/42288.42292", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 21:52:44 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-1/p18-dongarra/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; BLAS; nla; software; theory; vect", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.", } @Article{Sewell:1988:PCS, author = "Granville Sewell", title = "Plotting Contour Surfaces of a Function of Three Variables", journal = j-TOMS, volume = "14", number = "1", pages = "33--41", month = mar, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/42288.42289", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65S05", MRnumber = "89c:65140", bibdate = "Sun Sep 04 21:53:18 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-1/p33-sewell/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; design", review = "ACM CR 8810-0795", subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Sewell:1988:ASP, author = "Granville Sewell", title = "{Algorithm 657}: Software for Plotting Contour Surfaces of a Function of Three Variables", journal = j-TOMS, volume = "14", number = "1", pages = "42--44", month = mar, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/42288.42290", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 15:08:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Sewell:1990:RSP}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-1/p42-sewell/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on matrices. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods). {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Leis:1988:SSS, author = "Jorge R. Leis and Mark A. Kramer", title = "The Simultaneous Solution and Sensitivity Analysis of Systems Described by Ordinary Differential Equations", journal = j-TOMS, volume = "14", number = "1", pages = "45--60", month = mar, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/42288.46156", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05 (65V05)", MRnumber = "89b:65176", bibdate = "Sun Sep 04 21:54:22 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-1/p45-leis/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; experimentation; performance; reliability; theory", review = "ACM CR 8903-0152", subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations. {\bf I.6.4}: Computing Methodologies, SIMULATION AND MODELING, Model Validation and Analysis. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Efficiency.", } @Article{Leis:1988:AOO, author = "Jorge R. Leis and Mark A. Kramer", title = "{Algorithm 658}: {ODESSA}: An Ordinary Differential Equation Solver with Explicit Simultaneous Sensitivity Analysis", journal = j-TOMS, volume = "14", number = "1", pages = "61--67", month = mar, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/42288.214371", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-1/p61-leis/", abstract = "ODESSA is a package of FORTRAN routines for simultaneous solution of ordinary differential equations and the associated first-order parametric sensitivity equations, yielding the ODE solution vector $\underline{y}(t)$ and the first-order sensitivity coefficients with respect to equation parameters $\underline{p}$, $\partial \underline{y}(t)/\partial \underline{p}$. ODESSA is a modification of the widely disseminated initial-value solver LSODE, and retains many of the same operational features. Standard program usage and optional capabilities, installation, and verification considerations are addressed herein.", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; measurement; performance", subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Initial value problems. {\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Error analysis. {\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Stiff equations. {\bf I.6.4}: Computing Methodologies, SIMULATION AND MODELING, Model Validation and Analysis. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Efficiency.", } @Article{Butcher:1988:TEI, author = "J. C. Butcher", title = "Towards Efficient Implementation of Singly-Implicit Methods", journal = j-TOMS, volume = "14", number = "1", pages = "68--75", month = mar, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/42288.42341", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05", MRnumber = "89b:65167", bibdate = "Sat Aug 13 17:26:53 MDT 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-1/p68-butcher/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; performance", review = "ACM CR 8812-0938", subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Initial value problems. {\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Single step methods. {\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Stiff equations. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Efficiency.", } @Article{Ammann:1988:RCR, author = "Larry Ammann and John {Van Ness}", title = "A Routine for Converting Regression Algorithms into Corresponding Orthogonal Regression Algorithms", journal = j-TOMS, volume = "14", number = "1", pages = "76--87", month = mar, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/42288.42342", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65U05", MRnumber = "944 765", bibdate = "Sat Aug 13 17:26:53 MDT 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-1/p76-ammann/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; reliability", review = "ACM CR 8903-0155", subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE. {\bf J.2}: Computer Applications, PHYSICAL SCIENCES AND ENGINEERING.", } @Article{Bratley:1988:AIS, author = "Paul Bratley and Bennett L. Fox", title = "{Algorithm 659}: Implementing {Sobol}'s Quasirandom Sequence Generator", journal = j-TOMS, volume = "14", number = "1", pages = "88--100", month = mar, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/42288.214372", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-1/p88-bratley/", abstract = "We compare empirically accuracy and speed of low-discrepancy sequence generators of Sobol' and Faure. These generators are useful for multidimensional integration and global optimization. We discuss our implementation of the Sobol' generator.", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; measurement; performance", subject = "{\bf G.1.4}: Mathematics of Computing, NUMERICAL ANALYSIS, Quadrature and Numerical Differentiation. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Certification and testing. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Efficiency.", } @Article{Robertazzi:1988:BOF, author = "T. G. Robertazzi and S. C. Schwartz", title = "Best ``Ordering'' for Floating-Point Addition", journal = j-TOMS, volume = "14", number = "1", pages = "101--110", month = mar, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/42288.42343", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65G99 (65V05)", MRnumber = "89b:65117", bibdate = "Sat Nov 19 13:08:22 1994", bibsource = "ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-1/p101-robertazzi/", acknowledgement = ack-nhfb, affiliation = "State Univ. of New York at Stony Brook, Stony Brook; Princeton Univ., Princeton, NJ", bibno = "42343", catcode = "G.1.0", content = "This paper compares a variety of methods for accumulating a floating-point sum. Wilkinson pointed out that if we compute the $\sum^n_{i = 1} x_i$ in strictly increasing order in magnitude of the $x_i$, then we obtain a better bound on the rounding error than if the sum is computed in random order [1].\par The authors discuss five different accumulation strategies. They compare these accumulation strategies for when the $x_i$ are uniformly distributed and for when they are exponentially distributed. First they compare a random order for summing the $x_i$, summing in decreasing order of magnitude, and summing in increasing order of magnitude. Not surprisingly, summing in increasing order of magnitude is the best and summing in decreasing order of magnitude is the worst. In fact, it is not difficult to show this for any class of distributions where the mean and variance exist.\par The interesting results in the paper concern two other accumulation strategies. Both of these are shown to be better than summing in increasing order of magnitude for both the uniform and exponential distribution. Fortunately, one of these strategies is the tree sum (or fan-in sum) that is often used in parallel computation. The paper calls this strategy the ``adjacency'' ordering.", CRclass = "G.1.0 General; G.1.0 Computer arithmetic", CRnumber = "8810-0794", descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, General, Computer arithmetic", fjournal = "ACM Transactions on Mathematical Software (TOMS)", genterm = "ALGORITHMS; PERFORMANCE", journal-URL = "https://dl.acm.org/loi/toms", journalabbrev = "ACM Trans. Math. Softw.", keywords = "accurate floating-point summation; algorithms; performance", review = "ACM CR 8810-0794", reviewer = "Jesse L. Barlow", subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.1.0 Mathematics of Computing, NUMERICAL ANALYSIS, General, Computer arithmetic", } @Article{Monahan:1988:CAG, author = "John F. Monahan", title = "Corrigendum: ``{An} Algorithm for Generating Chi Random Variables''", journal = j-TOMS, volume = "14", number = "1", pages = "111--111", month = mar, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/42288.356228", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "111. 65C10", MRnumber = "89d:65006, 88d:65013", bibdate = "Fri Mar 28 10:45:16 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Monahan:1987:AGC}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Melhem:1988:MRS, author = "Rami G. Melhem and K. V. S. Ramarao", title = "Multicolor Reordering of Sparse Matrices Resulting from Irregular Grids", journal = j-TOMS, volume = "14", number = "2", pages = "117--138", month = jun, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/45054.214373", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50 (65D30)", MRnumber = "90b:65084", bibdate = "Mon Dec 08 12:15:02 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-2/p117-melhem/", abstract = "Many iterative algorithms for the solution of large linear systems may be effectively vectorized if the diagonal of the matrix is surrounded by a large band of zeroes, whose width is called the zero stretch. In this paper, a multicolor numbering technique is suggested for maximizing the zero stretch of irregularly sparse matrices. The technique, which is a generalization of a known multicoloring algorithm for regularly sparse matrices, executes in linear time, and produces a zero stretch approximately equal to $n/2\sigma$, where $2\sigma$ is the number of colors used in the algorithm. For triangular meshes, it is shown that $\sigma \leq 3$, and that it is possible to obtain $\sigma=2$ by applying a simple backtracking scheme.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; performance; theory", reviewer = "Stephen W. Brady", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse and very large systems. {\bf G.1.4}: Mathematics of Computing, NUMERICAL ANALYSIS, Quadrature and Numerical Differentiation, Iterative methods. {\bf G.2.2}: Mathematics of Computing, DISCRETE MATHEMATICS, Graph Theory, Graph algorithms. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.", } @Article{Renka:1988:MIL, author = "Robert J. Renka", title = "Multivariate Interpolation of Large Sets of Scattered Data", journal = j-TOMS, volume = "14", number = "2", pages = "139--148", month = jun, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/45054.45055", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D05 (41A05)", MRnumber = "89d:65009", bibdate = "Sun Sep 04 22:00:07 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-2/p139-renka/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", review = "ACM CR 8903-0148", subject = "{\bf G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Renka:1988:AQQa, author = "Robert J. Renka", title = "{Algorithm 660}: {QSHEP2D}: Quadratic {Shepard} Method for Bivariate Interpolation of Scattered Data", journal = j-TOMS, volume = "14", number = "2", pages = "149--150", month = jun, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/45054.356231", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Mar 28 10:45:50 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Renka:1988:AQQb, author = "Robert J. Renka", title = "{Algorithm 661}: {QSHEP3D}; Quadratic {Shepard} Method for Trivariate Interpolation of Scattered Data", journal = j-TOMS, volume = "14", number = "2", pages = "151--152", month = jun, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/45054.214374", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-2/p151-renka/", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Wan:1988:AMD, author = "S. J. Wan and S. K. M. Wong and P. Prusinkiewicz", title = "An Algorithm for Multidimensional Data Clustering", journal = j-TOMS, volume = "14", number = "2", pages = "153--162", month = jun, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/45054.45056", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:00:57 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-2/p153-wan/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; performance", review = "ACM CR 8912-0911", subject = "{\bf I.5.3}: Computing Methodologies, PATTERN RECOGNITION, Clustering, Algorithms.", } @Article{Garbow:1988:SIW, author = "B. S. Garbow and G. Giunta and J. N. Lyness and A. Murli", title = "Software for an Implementation of {Weeks}' Method for the Inverse {Laplace} Transform", journal = j-TOMS, volume = "14", number = "2", pages = "163--170", month = jun, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/45054.45057", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65R10 (65V05)", MRnumber = "89d:65107", bibdate = "Sun Sep 04 22:01:52 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-2/p163-garbow/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", review = "ACM CR 8903-0153", subject = "{\bf G.1.9}: Mathematics of Computing, NUMERICAL ANALYSIS, Integral Equations, Fredholm equations. {\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Nonlinear approximation. {\bf G.1.4}: Mathematics of Computing, NUMERICAL ANALYSIS, Quadrature and Numerical Differentiation, Finite difference methods.", } @Article{Garbow:1988:AFS, author = "B. S. Garbow and G. Giunta and J. N. Lyness and A. Murli", title = "{Algorithm 662}: {A FORTRAN} Software Package for the Numerical Inversion of the {Laplace} Transform Based on {Weeks}' Method", journal = j-TOMS, volume = "14", number = "2", pages = "171--176", month = jun, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/45054.214375", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 4 23:29:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Garbow:1990:RFS}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-2/p171-garbow/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.m}: Mathematics of Computing, MISCELLANEOUS.", } @Article{Louter-Nool:1988:ATA, author = "Margreet Louter-Nool", title = "{Algorithm 663}: Translation of {Algorithm} 539: {Basic Linear Algebra Subprograms} for {FORTRAN} Usage in {FORTRAN} 200 for the {Cyber} 205", journal = j-TOMS, volume = "14", number = "2", pages = "177--195", month = jun, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/45054.45058", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Sep 05 23:08:05 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Lawson:1979:ABL,Dodson:1982:RBL,Dodson:1983:CRB,Hanson:1987:ATA}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-2/p177-louter-nool/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; measurement; performance", review = "ACM CR 8904-0243", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Efficiency. {\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language Classifications, FORTRAN.", } @Article{Diaz:1988:RCA, author = "J. C. Diaz and G. Fairweather and P. Keast", title = "Remark on ``{Algorithm} 603: {COLROW} and {ARCECO}: {FORTRAN} Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination''", journal = j-TOMS, volume = "14", number = "2", pages = "196--196", month = jun, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/45054.356237", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 21:59:18 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Diaz:1983:ACA}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Hull:1988:EHS, author = "T. E. Hull and M. S. Cohen and J. T. M. Sawshuk and D. B. Wortman", title = "Exception Handling in Scientific Computing", journal = j-TOMS, volume = "14", number = "3", pages = "201--217", month = sep, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/44128.44129", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:27:23 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-3/p201-hull/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "design; languages", subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language Classifications, Specialized application languages. {\bf D.3.3}: Software, PROGRAMMING LANGUAGES, Language Constructs and Features, Control structures. {\bf D.3.4}: Software, PROGRAMMING LANGUAGES, Processors, Compilers. {\bf D.3.4}: Software, PROGRAMMING LANGUAGES, Processors, Run-time environments. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.", } @Article{Freeman:1988:DSM, author = "Timothy S. Freeman and Gregory M. Imirzian and Erich Kaltofen and Lakshman Yagati", title = "{Dagwood}: a System for Manipulating Polynomials Given by Straight-Line Programs", journal = j-TOMS, volume = "14", number = "3", pages = "218--240", month = sep, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/44128.214376", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:27:49 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-3/p218-freeman/", abstract = "We discuss the design, implementation, and benchmarking of a system that can manipulate symbolic expressions represented by their straight-line computations. Our system is capable of performing rational arithmetic on, evaluating, differentiating, taking greatest common divisors of, and factoring polynomials in straight-line format. The straight-line results can also be converted to standard, sparse format. We show by example that our system can handle problems for which conventional methods lead to excessive intermediate expression swell.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; design; measurement; performance", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Efficiency. {\bf I.1.1}: Computing Methodologies, ALGEBRAIC MANIPULATION, Expressions and Their Representation, Representations (general and polynomial). {\bf I.1.3}: Computing Methodologies, ALGEBRAIC MANIPULATION, Languages and Systems, Special-purpose algebraic systems.", } @Article{Grimes:1988:SLD, author = "Roger G. Grimes and Horst D. Simon", title = "Solution of Large, Dense Symmetric Generalized Eigenvalue Problems Using Secondary Storage", journal = j-TOMS, volume = "14", number = "3", pages = "241--256", month = sep, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/44128.44130", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (65F15)", MRnumber = "1 062 476", bibdate = "Sun Sep 04 22:29:30 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-3/p241-grimes/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; performance", review = "ACM CR 8903-0149", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Eigenvalues. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse and very large systems. {\bf D.4.2}: Software, OPERATING SYSTEMS, Storage Management, Secondary storage.", } @Article{Schrauf:1988:AGA, author = "G{\'e}za Schrauf", title = "{Algorithm 664}: {A Gauss} Algorithm to Solve Systems with Large Banded Matrices Using Random-Access Disk Storage", journal = j-TOMS, volume = "14", number = "3", pages = "257--260", month = sep, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/44128.214379", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-3/p257-schrauf/", abstract = "A FORTRAN 77 implementation of a Gauss algorithm with partial pivoting for banded matrices is described. The algorithm keeps only part of the matrix that is necessary for the actual computation in memory. This allows large systems to be solved on machine without virtual memory, or if the virtual memory is too small for the problem.", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on matrices. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods). {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse and very large systems.", } @Article{Minh:1988:GGV, author = "Do Le Minh", title = "Generating Gamma Variates", journal = j-TOMS, volume = "14", number = "3", pages = "261--266", month = sep, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/44128.214382", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (65U05)", MRnumber = "1 062 477", bibdate = "Sun Sep 04 22:30:10 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/prng.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-3/p261-minh/", abstract = "An algorithm to generate variates having a gamma distribution with shape parameter greater than one is presented in this paper. This algorithm is faster than Schmeiser and Lal's G4PE, which is the fastest one currently available, yet is equally simple and easy to implement.", acknowledgement = ack-nhfb, country = "USA", date = "13/05/93", descriptors = "RVG", enum = "7672", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", language = "English", location = "SEL: Wi", references = "0", revision = "16/01/94", subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS. {\bf I.6.1}: Computing Methodologies, SIMULATION AND MODELING, Simulation Theory.", } @Article{Duff:1988:RIN, author = "Iain S. Duff and Torbj{\"o}rn Wiberg", title = "Remarks on Implementation of ${O}(n^{1/2}\tau)$ Assignment Algorithms", journal = j-TOMS, volume = "14", number = "3", pages = "267--287", month = sep, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/44128.44131", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (65F50)", MRnumber = "1 062 478", bibdate = "Sat Aug 13 17:26:53 MDT 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-3/p267-duff/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", review = "ACM CR 8904-0244", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse and very large systems. {\bf G.2.2}: Mathematics of Computing, DISCRETE MATHEMATICS, Graph Theory, Graph algorithms. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.", } @Article{Cormack:1988:RTP, author = "R. S. Cormack and I. D. Hill", title = "Remark on ``{Algorithm} 346: ${F}$-Test Probabilities''", journal = j-TOMS, volume = "14", number = "3", pages = "288--289", month = sep, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/44128.356244", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:27:49 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Morris:1969:TP}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Krogh:1988:AAP, author = "Fred T. Krogh", title = "{ACM} Algorithms Policy", journal = j-TOMS, volume = "14", number = "3", pages = "290--293", month = sep, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/44128.356245", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:27:49 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Foley:1988:CIP, author = "Thomas A. Foley", title = "Corrigendum: ``{Interpolation} with Interval and Point Tension Controls Using Cubic Weighted $v$-Splines''", journal = j-TOMS, volume = "14", number = "3", pages = "297--297", month = sep, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/44128.356246", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Nov 19 13:26:45 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Foley:1987:IIP}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Cody:1988:AMS, author = "W. J. Cody", title = "{Algorithm 665}: {MACHAR}: a Subroutine to Dynamically Determine Machine Parameters", journal = j-TOMS, volume = "14", number = "4", pages = "303--311", month = dec, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/50063.51907", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:33:58 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-4/p303-cody/", acknowledgement = ack-nj # " and " # ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Portability. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Computer arithmetic.", } @Article{Vrahatis:1988:SSN, author = "Michael N. Vrahatis", title = "Solving Systems of Nonlinear Equations Using the Nonzero Value of the Topological Degree", journal = j-TOMS, volume = "14", number = "4", pages = "312--329", month = dec, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/50063.214384", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (65H10 90C30)", MRnumber = "91g:65006", bibdate = "Sun Sep 04 22:34:19 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-4/p312-vrahatis/", abstract = "Two algorithms are described here for the numerical solution of a system of nonlinear equations $F(X) = \Theta, Q=(0,0,\ldots,0)$ in $R$, and $F$ is a given continuous mapping of a region $D$ in $R^{n}$ into $R^{n}$. The first algorithm locates at least one root of the sy stem within $n$-dimensional polyhedron, using the nonzero value of the topological degree of $F$ at [theta] relative to the polyhedron; the second algorithm applies a new generalized bisection method in order to compute an approximate solution to the system. The size of the original $n$-dimensional polyhedron is arbitrary, and the method is globally convergent in a residual sense.\par These algorithms, in the various function evaluations, only make use of the algebraic sign of $F$ and do not require computations of the topological degree. Moreover, they can be applied to nondifferentiable continuous functions $F$ and do not involve derivatives of $F$ or approximations of such derivatives.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", subject = "{\bf G.1.5}: Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations, Systems of equations. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.", } @Article{Vrahatis:1988:ACM, author = "Michael N. Vrahatis", title = "{Algorithm 666}: {CHABIS}: a Mathematical Software Package for Locating and Evaluating Roots of Systems of Nonlinear Equations", journal = j-TOMS, volume = "14", number = "4", pages = "330--336", month = dec, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/50063.51906", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (90C30)", MRnumber = "91g:65007", bibdate = "Sat Aug 27 15:08:54 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-4/p330-vrahatis/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Portability. {\bf G.1.5}: Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations, Systems of equations.", } @Article{Garavelli:1988:AMS, author = "John S. Garavelli", title = "An Algorithm for the Multiplication of Symmetric Polynomials", journal = j-TOMS, volume = "14", number = "4", pages = "337--344", month = dec, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/50063.214385; http://www.acm.org/pubs/citations/journals/toms/1988-14-4/p337-garavelli/", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "05-04 (68Q40)", MRnumber = "91f:05002", bibdate = "Sun Sep 04 22:34:19 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", abstract = "Although the cycle index polynomial for a permutation group can often be easily determined, expansion of the figure counting series in a P{\'o}lya enumeration presents computational difficulties for object sets with higher degrees of symmetry and more than modest size. An algorithm that does not require algebraic symbol manipulation is derived for multiplying symmetric polynomials represented by partitions. Because the repetitive identification and collection of common terms are eliminated and storage requirements reduced, this algorithm is useful in rapidly expanding the figure counting series in such P{\'o}lya enumeration problems as the counting of chemical isomers.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", reviewer = "Kevin Lawrence McAvaney", subject = "{\bf G.2.1}: Mathematics of Computing, DISCRETE MATHEMATICS, Combinatorics, Combinatorial algorithms. {\bf I.1.1}: Computing Methodologies, ALGEBRAIC MANIPULATION, Expressions and Their Representation, Representations (general and polynomial). {\bf I.1.2}: Computing Methodologies, ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms.", } @Article{Aluffi-Pentini:1988:GOA, author = "Filippo Aluffi-Pentini and Valerio Parisi and Francesco Zirilli", title = "A Global Optimization Algorithm Using Stochastic Differential Equations", journal = j-TOMS, volume = "14", number = "4", pages = "345--365", month = dec, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/50063.50064", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (65K05 90C30)", MRnumber = "1 062 482", bibdate = "Sun Sep 04 22:36:23 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-4/p345-aluffi-pentini/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; languages; theory; verification", review = "ACM CR 8907-0480", subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Certification and testing.", } @Article{Aluffi-Pentini:1988:ASE, author = "Filippo Aluffi-Pentini and Valerio Parisi and Francesco Zirilli", title = "{Algorithm 667}: {SIGMA}\emdash a Stochastic-Integration Global Minimization Algorithm", journal = j-TOMS, volume = "14", number = "4", pages = "366--380", month = dec, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/50063.51908", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (90C30)", MRnumber = "1 062 483", bibdate = "Sat Aug 13 17:26:53 MDT 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-4/p366-aluffi-pentini/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Portability. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization.", } @Article{Higham:1988:AFC, author = "Nicholas J. Higham", title = "{Algorithm 674}: {FORTRAN} Codes for Estimating the One-Norm of a Real or Complex Matrix, with Applications to Condition Estimation", journal = j-TOMS, volume = "14", number = "4", pages = "381--396", month = dec, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/50063.214386", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (65F35)", MRnumber = "1 062 484", bibdate = "Sat Aug 27 15:05:32 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Higham:1989:CFC}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-4/p381-higham/", abstract = "FORTRAN 77 codes SONEST and CONEST are presented for estimating the 1-norm ( or the infinity-norm) of a real or complex matrix, respectively. The codes are of wide applicability in condition estimation since explicit access to the matrix, $A$, is not required; instead, matrix-vector products $Ax$ and $A^Tx$ are computed by the calling program via a reverse communication interface. The algorithms are based on a convex optimization method for estimating the 1-norm of a real matrix devised by Hager. We derive new results concerning the behavior of Hager's method, extend it to complex matrices, and make several algorithmic modifications in order to improve the reliability and efficiency.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; condition estimation; nla; software", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra.", } @Article{Kachitvichyanukul:1988:AHS, author = "Voratas Kachitvichyanukul and Bruce W. Schmeiser", title = "{Algorithm 668}: {H2PEC}: Sampling from the Hypergeometric Distribution", journal = j-TOMS, volume = "14", number = "4", pages = "397--398", month = dec, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/50063.214387", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 4 22:37:31 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-4/p397-kachitvichyanukul/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS, Random number generation. {\bf G.m}: Mathematics of Computing, MISCELLANEOUS.", } @Article{Dongarra:1988:CES, author = "Jack J. Dongarra and Jeremy {Du Croz} and Sven Hammarling and Richard J. Hanson", title = "Corrigenda: ``{An} Extended Set of {FORTRAN Basic Linear Algebra Subprograms}''", journal = j-TOMS, volume = "14", number = "4", pages = "399--399", month = dec, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/50063.356256", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Mar 28 10:48:38 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Dongarra:1988:ESF}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Kearfott:1988:CTG, author = "R. Baker Kearfott", title = "Corrigenda: ``{Some} Tests of Generalized Bisection''", journal = j-TOMS, volume = "14", number = "4", pages = "399--399", month = dec, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/50063.356257", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "399 (1989). 65H10", MRnumber = "1 062 485, 88m:65081", bibdate = "Sat Nov 19 13:04:08 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Kearfott:1987:STG}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Anonymous:1988:FCA, author = "Anonymous", title = "Five-Year Cumulative Author Index (Vol. 10--14. 1984--1988)", journal = j-TOMS, volume = "14", number = "4", pages = "403--411", month = dec, year = "1988", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/50063.356247", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "00A15", MRnumber = "1 062 486", bibdate = "Fri Mar 28 10:56:10 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Duff:1989:SMT, author = "Iain S. Duff and Roger G. Grimes and John G. Lewis", title = "Sparse Matrix Test Problems", journal = j-TOMS, volume = "15", number = "1", pages = "1--14", month = mar, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/62038.62043", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:42:25 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-1/p1-duff/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "measurement; performance", review = "ACM CR 9002-0143", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse and very large systems. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Cash:1989:BRK, author = "J. R. Cash", title = "A Block 6(4) {Runge--Kutta} Formula for Nonstiff Initial Value Problems", journal = j-TOMS, volume = "15", number = "1", pages = "15--28", month = mar, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/62038.62042", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:42:48 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-1/p15-cash/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; performance; theory", review = "ACM CR 8909-0672", subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Initial value problems. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE. {\bf G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation, Interpolation formulas.", } @Article{Cash:1989:ABF, author = "J. R. Cash", title = "{Algorithm 669}: {BRKF45}: {A FORTRAN} Subroutine for Solving First-Order Systems of Nonstiff Initial Value Problems for Ordinary Differential Equations", journal = j-TOMS, volume = "15", number = "1", pages = "29--30", month = mar, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/62038.214388", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:44:52 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Higham:1991:RBF}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-1/p29-cash/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation, Interpolation formulas. {\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Initial value problems. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Brankin:1989:ARK, author = "R. W. Brankin and I. Gladwell and J. R. Dormand and P. J. Prince and W. L. Seward", title = "{Algorithm 670}: a {Runge--Kutta--Nystr{\"o}m} code", journal = j-TOMS, volume = "15", number = "1", pages = "31--40", month = mar, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/62038.69650", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 13 17:26:53 MDT 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-1/p31-brankin/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Reliability and robustness.", } @Article{Cody:1989:PEP, author = "W. J. Cody and L. Stoltz", title = "Performance Evaluation of Programs for Certain {Bessel} Functions", journal = j-TOMS, volume = "15", number = "1", pages = "41--48", month = mar, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/62038.62039", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:43:58 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-1/p41-cody/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; performance; reliability; verification", review = "ACM CR 8911-0825", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Certification and testing. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Reliability and robustness. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms.", } @Article{Shanno:1989:NES, author = "David F. Shanno and Kang Hoh Phua", title = "Numerical Experience with Sequential Quadratic Programming Algorithms for Equality Constrained Nonlinear Programming", journal = j-TOMS, volume = "15", number = "1", pages = "49--63", month = mar, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/62038.62040", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "90C30 (90B20)", MRnumber = "91c:90104", bibdate = "Sun Sep 04 22:44:29 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-1/p49-shanno/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", review = "ACM CR 8909-0670", subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Nonlinear programming. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Constrained optimization.", } @Article{Chang:1989:IPS, author = "Michael D. Chang and Chou-Hong J. Chen and Michael Engquist", title = "An Improved Primal Simplex Variant for Pure Processing Networks", journal = j-TOMS, volume = "15", number = "1", pages = "64--78", month = mar, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/62038.62041", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 13 17:26:53 MDT 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-1/p64-chang/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; design; performance; theory", review = "ACM CR 8909-0669", subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Linear programming. {\bf G.2.2}: Mathematics of Computing, DISCRETE MATHEMATICS, Graph Theory, Network problems. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Efficiency.", } @Article{Preusser:1989:AFF, author = "Albrecht Preusser", title = "{Algorithm 671}: {FARB-E-2D}: Fill Area with Bicubics on Rectangles\emdash a Contour Plot Program", journal = j-TOMS, volume = "15", number = "1", pages = "79--89", month = mar, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/62038.69651", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:46:19 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-1/p79-preusser/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; design", subject = "{\bf G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation, Spline and piecewise polynomial interpolation. {\bf I.3.5}: Computing Methodologies, COMPUTER GRAPHICS, Computational Geometry and Object Modeling, Curve, surface, solid, and object representations.", } @Article{Morgan:1989:FAI, author = "Alexander P. Morgan and Andrew J. Sommese and Layne T. Watson", title = "Finding All Isolated Solutions to Polynomial Systems Using {HOMPACK}", journal = j-TOMS, volume = "15", number = "2", pages = "93--122", month = jun, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/63522.64124", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (58C30 65H10)", MRnumber = "91g:65003", bibdate = "Sun Sep 04 22:46:37 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-2/p93-morgan/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", review = "ACM CR 8912-0895", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, HOMPACK. {\bf G.1.5}: Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations, Systems of equations. {\bf G.1.5}: Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations, Polynomials, methods for.", } @Article{Patterson:1989:AGIa, author = "T. N. L. Patterson", title = "An Algorithm for Generating Interpolatory Quadrature Rules of the Highest Degree of Precision with Preassigned Nodes for General Weight Functions", journal = j-TOMS, volume = "15", number = "2", pages = "123--136", month = jun, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/63522.63523", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (65D32)", MRnumber = "91g:65004", bibdate = "Sun Sep 04 22:46:58 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-2/p123-patterson/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", review = "ACM CR 9006-0500", subject = "{\bf G.1.4}: Mathematics of Computing, NUMERICAL ANALYSIS, Quadrature and Numerical Differentiation, Gaussian quadrature. {\bf G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation. {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on polynomials.", } @Article{Patterson:1989:AGIb, author = "T. N. L. Patterson", title = "{Algorithm 672}: Generation of Interpolatory Quadrature Rules of the Highest Degree of Precision with Preassigned Nodes for General Weight Functions", journal = j-TOMS, volume = "15", number = "2", pages = "137--143", month = jun, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/63522.69649", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04", MRnumber = "91g:65005", bibdate = "Sat Aug 13 17:26:53 MDT 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-2/p137-patterson/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; languages; performance", subject = "{\bf G.1.4}: Mathematics of Computing, NUMERICAL ANALYSIS, Quadrature and Numerical Differentiation. {\bf G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.", } @Article{Tang:1989:TDI, author = "Ping Tak Peter Tang", title = "Table-Driven Implementation of the Exponential Function in {IEEE} Floating-Point Arithmetic", journal = j-TOMS, volume = "15", number = "2", pages = "144--157", month = jun, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/63522.214389", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:47:40 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-2/p144-tang/", abstract = "Algorithms and implementation details for the exponential function in both single- and double-precision of IEEE 754 arithmetic are presented here. With a table of moderate size, the implementations need only working-precision arithmetic and are provably accurate to within 0.54 ulp as long as the final result does not underflow. When the final result suffers gradual underflow, the error is still no worse than 0.77 ulp.", acknowledgement = ack-nj, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Computer arithmetic. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Error analysis. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.", } @Article{Vitter:1989:ADH, author = "Jeffrey Scott Vitter", title = "{Algorithm 673}: Dynamic {Huffman} Coding", journal = j-TOMS, volume = "15", number = "2", pages = "158--167", month = jun, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/63522.214390", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:47:58 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/datacompression.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See remark \cite{Novoselsky:2016:RAD}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-2/p158-vitter/", abstract = "We present a Pascal implementation of the one-pass algorithm for constructing dynamic Huffman codes that is described and analyzed in a companion paper. The program runs in real time; that is, the processing time for each letter of the message is proportional to the length of its codeword. The number of bits used to encode a message of $t$ letters is less than $t$ bits more than that used by the well-known two-pass algorithm. This is best possible for any one-pass Huffman scheme. In practice, it uses fewer bits than all other Huffman schemes. The algorithm has applications in file compression and network transmission.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; design; performance; theory", subject = "{\bf C.2.0}: Computer Systems Organization, COMPUTER-COMMUNICATION NETWORKS, General, Data communications. {\bf E.1}: Data, DATA STRUCTURES, Trees. {\bf E.4}: Data, CODING AND INFORMATION THEORY, Data compaction and compression. {\bf E.4}: Data, CODING AND INFORMATION THEORY, Nonsecret encoding schemes. {\bf F.2.2}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical Algorithms and Problems. {\bf G.2.2}: Mathematics of Computing, DISCRETE MATHEMATICS, Graph Theory, Trees. {\bf H.1.1}: Information Systems, MODELS AND PRINCIPLES, Systems and Information Theory, Value of information.", } @Article{Higham:1989:CFC, author = "Nicholas J. Higham", title = "Corrigendum: ``{Algorithm} 674: {FORTRAN} Codes for Estimating the One-Norm of a Real or Complex Matrix, with Applications to Condition Estimation''", journal = j-TOMS, volume = "15", number = "2", pages = "168--168", month = jun, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/63522.214391", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Sep 30 01:18:49 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Higham:1988:AFC}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-2/p168-higham/", abstract = "We omitted giving this article an ACM algorithm number when it was first published in its entirety in the December 1988 issue of {\em TOMS}, Vol. 14, No. 4, pp. 381-396. To correct this, we do so here, and reprint the title as a pointer to the original article.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra.", } @Article{Krogh:1989:AAP, author = "Fred T. Krogh", title = "{ACM} Algorithms Policy", journal = j-TOMS, volume = "15", number = "2", pages = "169--172", month = jun, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/63522.356273", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Mar 28 10:56:42 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Ribbens:1989:FAG, author = "Calvin J. Ribbens", title = "A Fast Adaptive Grid Scheme for Elliptic Partial Differential Equations", journal = j-TOMS, volume = "15", number = "3", pages = "179--197", month = sep, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/66888.66889", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:50:47 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-3/p179-ribbens/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", review = "ACM CR 9006-0506", subject = "{\bf G.1.8}: Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations, Elliptic equations. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Parallel algorithms.", } @Article{Liu:1989:GPA, author = "Joseph W. H. Liu", title = "A Graph Partitioning Algorithm by Node Separators", journal = j-TOMS, volume = "15", number = "3", pages = "198--219", month = sep, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/66888.66890", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (05-04 05C70 65F50)", MRnumber = "1 062 491", bibdate = "Sun Sep 04 22:51:08 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-3/p198-liu/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", review = "ACM CR 9003-0235", subject = "{\bf G.2.2}: Mathematics of Computing, DISCRETE MATHEMATICS, Graph Theory, Graph algorithms. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse and very large systems. {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on matrices.", } @Article{Mahdavi-Amiri:1989:CNL, author = "Nezam Mahdavi-Amiri and Richard H. Bartels", title = "Constrained Nonlinear Least Squares: An Exact Penalty Approach with Projected Structured Quasi-{Newton} Updates", journal = j-TOMS, volume = "15", number = "3", pages = "220--242", month = sep, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/66888.66891", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (65K05)", MRnumber = "1 062 492", bibdate = "Sun Sep 04 22:51:35 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-3/p220-mahdavi-amiri/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", review = "ACM CR 9004-0320", subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization. {\bf G.1.5}: Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations.", } @Article{Vanbegin:1989:AFS, author = "Michel Vanbegin and Paul {Van Dooren} and Michel Verhaegen", title = "{Algorithm 675}: {FORTRAN} Subroutines for Computing the Square Root Covariance Filter and Square Root Information Filter in Dense or {Hessenberg} Forms", journal = j-TOMS, volume = "15", number = "3", pages = "243--256", month = sep, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/66888.69647", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:52:41 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-3/p243-vanbegin/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; measurement", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods). {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on matrices.", } @Article{Dadurkevicius:1989:RA, author = "Virgis Dadurkevi{\v{c}}ius", title = "Remark on ``{Algorithm} 587: Two Algorithms for the Linearly Constrained Least Squares Problem''", journal = j-TOMS, volume = "15", number = "3", pages = "257--261", month = sep, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/66888.77344", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Mon Sep 05 20:52:30 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Hanson:1982:ATA}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-3/p257-dadurkevicius/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Constrained optimization. {\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Least squares approximation. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Least squares methods.", } @Article{Buckley:1989:RA, author = "A. Buckley", title = "Remark on {Algorithm 630}", journal = j-TOMS, volume = "15", number = "3", pages = "262--274", month = sep, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/66888.69648", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:53:33 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Buckley:1985:ABE}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-3/p262-buckley/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Gradient methods.", } @Article{Domich:1989:RHN, author = "Paul D. Domich", title = "Residual {Hermite} Normal Form Computations", journal = j-TOMS, volume = "15", number = "3", pages = "275--286", month = sep, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/66888.66892", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "15A21 (15-04 15A36 65-04 65F05)", MRnumber = "91d:15020", bibdate = "Sun Sep 04 22:53:52 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-3/p275-domich/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", review = "ACM CR 9007-0597", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra. {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on matrices.", } @Article{Corana:1989:CMF, author = "A. Corana and M. Marchesi and C. Martini and S. Ridella", title = "Corrigenda: ``{Minimizing} Multimodal Functions of Continuous Variables with the `Simulated Annealing' Algorithm''", journal = j-TOMS, volume = "15", number = "3", pages = "287--287", month = sep, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/66888.356281", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "287. 90C30 (65K05)", MRnumber = "1 062 494, 88m:90121", bibdate = "Sat Feb 24 09:58:06 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Corana:1987:MMF}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Enright:1989:CFP, author = "W. H. Enright and J. D. Pryce", title = "Corrigenda: ``{Two FORTRAN} Packages for Assessing Initial Value Methods''", journal = j-TOMS, volume = "15", number = "3", pages = "287--287", month = sep, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/66888.356282", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Mar 28 10:57:50 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Enright:1987:TFP}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Le:1989:CED, author = "D. Le", title = "Corrigenda: ``{An} Efficient Derivative-Free Method for Solving Nonlinear Equations''", journal = j-TOMS, volume = "15", number = "3", pages = "287--287", month = sep, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/66888.356283", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "287. 65H05", MRnumber = "1 062 495, 87d:65057", bibdate = "Fri Mar 28 10:57:46 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Le:1985:EDF}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Ashcraft:1989:IRS, author = "Cleve Ashcraft and Roger Grimes", title = "The Influence of Relaxed Supernode Partitions on the Multifrontal Method", journal = j-TOMS, volume = "15", number = "4", pages = "291--309", month = dec, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/76909.76910", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:58:46 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-4/p291-ashcraft/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; design; performance", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse and very large systems. {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on matrices. {\bf G.2.2}: Mathematics of Computing, DISCRETE MATHEMATICS, Graph Theory. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods).", } @Article{Liu:1989:MMP, author = "Joseph W. H. Liu", title = "The Multifrontal Method and Paging in Sparse {Cholesky} Factorization", journal = j-TOMS, volume = "15", number = "4", pages = "310--325", month = dec, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/76909.76911", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 22:59:06 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-4/p310-liu/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; design; experimentation; performance", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse and very large systems. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Matrix inversion. {\bf D.4.2}: Software, OPERATING SYSTEMS, Storage Management, Virtual memory. {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on matrices.", } @Article{Mitchell:1989:CAR, author = "William F. Mitchell", title = "A Comparison of Adaptive Refinement Techniques for Elliptic Problems", journal = j-TOMS, volume = "15", number = "4", pages = "326--347", month = dec, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/76909.76912", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65N99 (65-04)", MRnumber = "1 062 496", bibdate = "Sun Sep 04 22:59:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-4/p326-mitchell/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "experimentation", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods). {\bf G.1.8}: Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations, Finite element methods. {\bf G.1.8}: Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations, Elliptic equations. {\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation.", } @Article{Boggs:1989:AOS, author = "Paul T. Boggs and Janet R. Donaldson and Richard h. Byrd and Robert B. Schnabel", title = "{Algorithm 676}: {ODRPACK}: Software for Weighted Orthogonal Distance Regression", journal = j-TOMS, volume = "15", number = "4", pages = "348--364", month = dec, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/76909.76913", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 15:09:23 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-4/p348-boggs/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS, Statistical computing. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Least squares methods.", } @Article{Montefusco:1989:ASI, author = "Laura Bacchelli Montefusco and Giulio Casciola", title = "{Algorithm 677}: ${C}^1$ Surface Interpolation", journal = j-TOMS, volume = "15", number = "4", pages = "365--374", month = dec, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/76909.76914", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Fri Sep 30 01:22:34 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://doi.acm.org/10.1145/76909.76914; http://www.acm.org/pubs/citations/journals/toms/1989-15-4/p365-montefusco/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization.", } @Article{Corliss:1989:IIV, author = "George Corliss and Gary Krenz", title = "Indefinite Integration with Validation", journal = j-TOMS, volume = "15", number = "4", pages = "375--393", month = dec, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/76909.76915", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D30 (65-04)", MRnumber = "1 062 497", bibdate = "Sun Sep 04 23:01:02 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-4/p375-corliss/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", review = "ACM CR 9007-0598", subject = "{\bf G.1.4}: Mathematics of Computing, NUMERICAL ANALYSIS, Quadrature and Numerical Differentiation. {\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Elementary function approximation. {\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Chebyshev approximation and theory.", } @Article{Kachitvichyanukul:1989:ABS, author = "Voratas Kachitvichyanukul and Bruce W. Schmeiser", title = "{Algorithm 678}: {BTPEC}: Sampling from the Binomial Distribution", journal = j-TOMS, volume = "15", number = "4", pages = "394--397", month = dec, year = "1989", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/76909.76916", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 13 17:26:53 MDT 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-4/p394-kachitvichyanukul/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND STATISTICS, Random number generation.", } @Article{Dongarra:1990:SLB, author = "Jack J. Dongarra and Jeremy {Du Croz} and Sven Hammarling and Iain Duff", title = "A Set of Level 3 {Basic Linear Algebra Subprograms}", journal = j-TOMS, volume = "16", number = "1", pages = "1--17", month = mar, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/77626.79170", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 19:10:43 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-1/p1-dongarra/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; measurement; performance; reliability; verification", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods). {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on matrices. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms.", } @Article{Dongarra:1990:ASL, author = "Jack J. Dongarra and Jeremy {Du Croz} and Sven Hammarling and Iain Duff", title = "{Algorithm 679}: a Set of Level 3 {Basic Linear Algebra Subprograms}: Model Implementation and Test Programs", journal = j-TOMS, volume = "16", number = "1", pages = "18--28", month = mar, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/77626.77627", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sat Aug 27 17:29:49 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See also \cite{Higham:1990:EFM,Demmel:1992:SBA,Dayde:1994:PBI}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-1/p18-dongarra/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; measurement; performance; reliability; verification", subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language Classifications, FORTRAN 8X. {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on matrices. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods). {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Cody:1990:PEP, author = "W. J. Cody", title = "Performance Evaluation of Programs for the Error and Complementary Error Functions", journal = j-TOMS, volume = "16", number = "1", pages = "29--37", month = mar, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/77626.77628", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (65G05)", MRnumber = "1 073 407", bibdate = "Tue Oct 09 09:29:47 2007", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-1/p29-cody/; http://www.acm.org/pubs/toc/Abstracts/0098-3500/77628.html", abstract = "This paper presents methods for performance evaluation of computer programs for the functions ${\rm erf}(x)$, ${\rm erfc}(x)$, and $e^{x^2} {\rm erfc}(x)$. Accuracy estimates are based on comparisons using power series expansions and an expansion in the repeated integrals of ${\rm erfc}(x)$. Some suggestions for checking robustness are also given. Details of a specific implementation of a test program are included.", acknowledgement = ack-nhfb, affiliation = "Argonne Nat. Lab., IL, USA", classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "Complementary error functions; Computer programs; FORTRAN; Power series expansions; Repeated integrals; Robustness; Test program", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Certification and testing. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Reliability and robustness. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms.", thesaurus = "Error analysis; Function approximation; Performance evaluation", } @Article{Poppe:1990:MEC, author = "G. P. M. Poppe and C. M. J. Wijers", title = "More Efficient Computation of the Complex Error Function", journal = j-TOMS, volume = "16", number = "1", pages = "38--46", month = mar, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/77626.77629", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65G05 (65D20)", MRnumber = "91h:65068a", bibdate = "Sun Sep 04 23:03:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-1/p38-poppe/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis. {\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Rational approximation.", } @Article{Poppe:1990:AEC, author = "G. P. M. Poppe and C. M. J. Wijers", title = "{Algorithm 680}: Evaluation of the Complex Error Function", journal = j-TOMS, volume = "16", number = "1", pages = "47--47", month = mar, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/77626.77630", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "47. 65G05 (65-04)", MRnumber = "91h:65068b", bibdate = "Sun Sep 04 23:03:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See remark \cite{Zaghloul:2019:RO}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-1/p47-poppe/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Rational approximation.", } @Article{Arney:1990:AMM, author = "David C. Arney and Joseph E. Flaherty", title = "An Adaptive Mesh-Moving and Local Refinement Method for Time-Dependent Partial Differential Equations", journal = j-TOMS, volume = "16", number = "1", pages = "48--71", month = mar, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/77626.77631", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65M50", MRnumber = "91f:65154", bibdate = "Sun Sep 04 23:03:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-1/p48-arney/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; design; performance", subject = "{\bf G.1.8}: Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations, Finite element methods. {\bf G.1.8}: Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations, Difference methods. {\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Boundary value problems. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Efficiency.", } @Article{Schryer:1990:DSO, author = "N. L. Schryer", title = "Designing Software for One-Dimensional Partial Differential Equations", journal = j-TOMS, volume = "16", number = "1", pages = "72--85", month = mar, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/77626.77632", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (65P05)", MRnumber = "1 073 411", bibdate = "Sun Sep 04 23:03:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-1/p72-schryer/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; design", subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE. {\bf G.1.8}: Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations. {\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Boundary value problems.", } @Article{Hansen:1990:PES, author = "Eldon R. Hansen and Merrell L. Patrick and Richard L. C. Wang", title = "Polynomial Evaluation with Scaling", journal = j-TOMS, volume = "16", number = "1", pages = "86--93", month = mar, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/77626.77633", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65Y10", MRnumber = "1 073 412", bibdate = "Fri Aug 26 23:38:17 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-1/p86-hansen/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Computer arithmetic. {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on polynomials.", xxnote = "Original article has incorrect ``Merell'' instead of ``Merrell''.", } @Article{Snow:1990:WGO, author = "Dennis M. Snow", title = "{Weyl} Group Orbits", journal = j-TOMS, volume = "16", number = "1", pages = "94--108", month = mar, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/77626.77634", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "20G99 (22E15)", MRnumber = "91j:20115", bibdate = "Sun Sep 04 23:03:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-1/p94-snow/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; performance; theory", reviewer = "V. L. Popov", subject = "{\bf F.2.2}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical Algorithms and Problems, Computations on discrete structures. {\bf I.1.2}: Computing Methodologies, ALGEBRAIC MANIPULATION, Algorithms. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Efficiency.", } @Article{Sewell:1990:RSP, author = "Granville Sewell", title = "Remark on ``{Algorithm 657}: Software for Plotting Contour Surfaces of a Function of Three Variables''", journal = j-TOMS, volume = "16", number = "1", pages = "109--109", month = mar, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/77626.356300", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 23:03:20 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "See \cite{Sewell:1988:ASP}.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Zenios:1990:INO, author = "Stavros A. Zenios", title = "Integrating Network Optimization Capabilities into a High-Level Modeling Language", journal = j-TOMS, volume = "16", number = "2", pages = "113--142", month = jun, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/78928.78929", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 23:09:48 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-2/p113-zenios/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; design; experimentation; languages; performance; theory", subject = "{\bf G.2.2}: Mathematics of Computing, DISCRETE MATHEMATICS, Graph Theory, Network problems. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Constrained optimization. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Nonlinear programming. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization, Linear programming. {\bf C.2.1}: Computer Systems Organization, COMPUTER-COMMUNICATION NETWORKS, Network Architecture and Design. {\bf C.4}: Computer Systems Organization, PERFORMANCE OF SYSTEMS, Modeling techniques.", } @Article{Meintjes:1990:CES, author = "Keith Meintjes and Alexander P. Morgan", title = "Chemical Equilibrium Systems as Numerical Test Problems", journal = j-TOMS, volume = "16", number = "2", pages = "143--151", month = jun, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/78928.78930", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 23:09:48 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-2/p143-meintjes/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", subject = "{\bf G.1.5}: Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations, Systems of equations. {\bf G.1.5}: Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations, Polynomials, methods for. {\bf J.2}: Computer Applications, PHYSICAL SCIENCES AND ENGINEERING, Chemistry.", } @Article{Kearfott:1990:AIP, author = "R. Baker Kearfott and Manuel {Novoa III}", title = "{Algorithm 681}: {INTBIS}, a Portable Interval {Newton}\slash Bisection Package", journal = j-TOMS, volume = "16", number = "2", pages = "152--157", month = jun, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/78928.78931", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 23:09:48 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-2/p152-kearfott/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", subject = "{\bf G.1.5}: Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations, Systems of equations. {\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation.", } @Article{Murli:1990:ATM, author = "A. Murli and M. Rizzardi", title = "{Algorithm 682}: {Talbot}'s Method for the {Laplace} Inversion Problem", journal = j-TOMS, volume = "16", number = "2", pages = "158--168", month = jun, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/78928.78932", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 23:09:48 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-2/p158-murli/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computation of transforms. {\bf G.1.4}: Mathematics of Computing, NUMERICAL ANALYSIS, Quadrature and Numerical Differentiation, Equal interval integration. {\bf G.1.9}: Mathematics of Computing, NUMERICAL ANALYSIS, Integral Equations, Fredholm equations.", } @Article{Amos:1990:CEI, author = "Donald E. Amos", title = "Computation of Exponential Integrals of a Complex Argument", journal = j-TOMS, volume = "16", number = "2", pages = "169--177", month = jun, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/78928.78933", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D20", MRnumber = "92k:65025", bibdate = "Sun Sep 04 23:09:48 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-2/p169-amos/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; theory", subject = "{\bf G.1.9}: Mathematics of Computing, NUMERICAL ANALYSIS, Integral Equations. {\bf G.1.m}: Mathematics of Computing, NUMERICAL ANALYSIS, Miscellaneous.", } @Article{Amos:1990:APF, author = "Donald E. Amos", title = "{Algorithm 683}: a Portable {FORTRAN} Subroutine for Exponential Integrals of a Complex Argument", journal = j-TOMS, volume = "16", number = "2", pages = "178--182", month = jun, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/78928.78934", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D20 (65Y10)", MRnumber = "92k:65026", bibdate = "Sun Sep 04 23:09:48 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-2/p178-amos/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language Classifications, FORTRAN.", } @Article{Tang:1990:AET, author = "Ping Tak Peter Tang", title = "Accurate and Efficient Testing of the Exponential and Logarithm Functions", journal = j-TOMS, volume = "16", number = "3", pages = "185--200", month = sep, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/79505.79506", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (65G99)", MRnumber = "1 070 797", bibdate = "Sun Sep 04 23:14:59 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-3/p185-tang/", abstract = "Table-driven techniques can be used to test highly accurate implementation of EXP LOG. The largest error observed in EXP and LOG accurately to within 1/500 unit in the last place are reported in our tests. Methods to verify the tests' reliability are discussed. Results of applying the tests to our own as well as to a number of other implementations of EXP and LOG are presented.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; languages; verification", subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Error analysis. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Certification and testing. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Portability.", } @Article{Cash:1990:VOR, author = "J. R. Cash and Alan H. Karp", title = "A Variable Order {Runge--Kutta} Method for Initial Value Problems with Rapidly Varying Right-Hand Sides", journal = j-TOMS, volume = "16", number = "3", pages = "201--222", month = sep, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/79505.79507", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65L05 (65-04)", MRnumber = "1 070 798", bibdate = "Sun Sep 04 23:14:59 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-3/p201-cash/", abstract = "Explicit Runge--Kutta methods (RKMs) are among the most popular classes of formulas for the approximate numerical integration of nonstiff, initial value problems. However, high-order Runge--Kutta methods require more function evaluations per integration step than, for example, Adams methods used in PECE mode, and so, with RKMs, it is especially important to avoid rejected steps. Steps are often rejected when certain derivatives of the solutions are very large for part of the region of integration. This corresponds, for example, to regions where the solution has a sharp front or, in the limit, some derivative of the solution is discontinuous. In these circumstances the assumption that the local truncation error is changing slowly is invalid, and so any step-choosing algorithm is likely to produce an unacceptable step. In this paper we derive a family of explicit Runge--Kutta formulas. Each formula is very efficient for problems with smooth solution as well as problems having rapidly varying solutions. Each member of this family consists of a fifty-order formula that contains imbedded formulas of all orders 1 through 4. By computing solutions at several different orders, it is possible to detect sharp fronts or discontinuities before all the function evaluations defining the full Runge--Kutta step have been computed. We can then either accept a lower order solution or abort the step, depending on which course of action seems appropriate. The efficiency of the new algorithm is demonstrated on the DETEST test set as well as on some difficult test problems with sharp fronts or discontinuities.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Initial value problems. {\bf G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation.", } @Article{Weiss:1990:SSC, author = "Shlomo Weiss and James E. Smith", title = "A Study of Scalar Compilation Techniques for Pipelined Supercomputers", journal = j-TOMS, volume = "16", number = "3", pages = "223--245", month = sep, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/79505.79508", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 23:14:59 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-3/p223-weiss/", abstract = "This paper studies two compilation techniques for enhancing scalar performance in high-speed scientific processors: software pipelining and loop unrolling. We study the impact of the architecture (size of the register file) and of the hardware (size of instruction buffer) on the efficiency of loop unrolling. We also develop a methodology for classifying software pipelining techniques. For loop unrolling, a straightforward scheduling algorithm is shown to produce near-optimal results when not inhibited by recurrences or memory hazards. Our study indicates that the performance produced with a modified CRAY-1S scalar architecture and a code scheduler utilizing loop unrolling is comparable to the performance achieved by the CRAY-1S with a vector unit and the CFT vectorizing compiler.\par Finally, we show that the combination of loop unrolling and dynamic software pipelining, as implemented by a decoupled computer, substantially outperforms the vector CRAY-1S.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "design; experimentation; performance", subject = "{\bf C.1.1}: Computer Systems Organization, PROCESSOR ARCHITECTURES, Single Data Stream Architectures, Pipeline processors. {\bf C.4}: Computer Systems Organization, PERFORMANCE OF SYSTEMS, Performance attributes. {\bf D.3.4}: Software, PROGRAMMING LANGUAGES, Processors, Compilers. {\bf C.5.1}: Computer Systems Organization, COMPUTER SYSTEM IMPLEMENTATION, Large and Medium (``Mainframe'') Computers.", } @Article{Preusser:1990:EFB, author = "Albrecht Preusser", title = "Efficient Formulation of a Bivariate Nonic ${C}^2$-{Hermite} Polynomial on Triangles", journal = j-TOMS, volume = "16", number = "3", pages = "246--252", month = sep, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/79505.79509", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D05 (65-04)", MRnumber = "1 070 799", bibdate = "Sun Sep 04 23:14:59 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-3/p246-preusser/", abstract = "Bivariate polynomials over triangular domains are widely in use for the definition of surfaces that are continuously differentiable across a set of triangles. A description is given of how explicit formulas for the coefficients of bivariate nonic polynomials can be found with the help of a computer algebra system. A linear system with 55 equations and 45 nonzero right hand sides must be solved algebraically. The interpolant is twice differentiable across triangle sides and based on function values and partial derivatives up to fourth order at the nodes. Horner's scheme for evaluating polynomials can be applied directly, leading to optimal efficiency during the evaluation phase (54 additions and multiplications for one point). Starting with transformed nodal data, the calculation of one set of coefficients takes about 350 additions, the same number of multiplications, and 30 divisions.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation, Spline and piecewise polynomial interpolation. {\bf I.3.5}: Computing Methodologies, COMPUTER GRAPHICS, Computational Geometry and Object Modeling, Curve, surface, solid, and object representations. {\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods).", } @Article{Preusser:1990:AIT, author = "Albrecht Preusser", title = "{Algorithm 684}: ${C}^1$- and ${C}^2$-Interpolation on Triangles with Quintic and Nonic Bivariate Polynomials", journal = j-TOMS, volume = "16", number = "3", pages = "253--257", month = sep, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/79505.79510", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (65D05)", MRnumber = "1 070 800", bibdate = "Sun Sep 04 23:14:59 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-3/p253-preusser/", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation, Spline and piecewise polynomial interpolation. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Shacham:1990:FBD, author = "Orit Shacham and Mordechai Shacham", title = "Finding Boundaries of the Domain of Definition for Functions Along a One-Dimensional Ray", journal = j-TOMS, volume = "16", number = "3", pages = "258--268", month = sep, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/79505.79511", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (65D99)", MRnumber = "1 070 801", bibdate = "Sun Sep 04 23:14:59 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-3/p258-shacham/", abstract = "A program for finding boundaries of function domains along a one-dimensional ray has been developed. The program decomposes the function into subexpressions which are recursively tested for intervals where they are undefined, negative, or fractional, or points where they equal zero. The intervals in which the subexpressions are undefined are then united to create the boundaries of the domain of definition of the whole function. The advantages of the use of such a program in solution of systems of nonlinear algebraic equations and nonlinear optimization are demonstrated.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf G.1.5}: Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations. {\bf G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS, Optimization.", } @Article{Nair:1990:IAO, author = "K. Aiyappan Nair", title = "An Improved Algorithm for Ordered Sequential Random Sampling", journal = j-TOMS, volume = "16", number = "3", pages = "269--274", month = sep, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/79505.356313", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65C10", MRnumber = "1 070 802", bibdate = "Sat Aug 27 15:57:03 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Palacios-Velez:1990:DHS, author = "Oscar Palacios-V{\'e}lez and Baltazar Cuevas Renaud", title = "A Dynamic Hierarchical Subdivision Algorithm for Computing {Delaunay} Triangulations and Other Closest-Point Problems", journal = j-TOMS, volume = "16", number = "3", pages = "275--292", month = sep, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/79505.79512", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04", MRnumber = "1 070 803", bibdate = "Sat Aug 27 15:57:45 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-3/p275-palacios-velez/", abstract = "A new, dynamic, hierarchical subdivision and recursive algorithm for computing Delaunay triangulations is presented. The algorithm has four main steps: (1) location of the already formed triangle that contains the point (2) identification of other adjoining triangles whose circumcircle contains the point (3) formation of the new triangles, and (4) database update. Different search procedures are analyzed. It is shown that the ``oriented walk'' search, when the total number of points is less than 417 or when the points are presorted by distance or coordinates. The algorithm has point-deletion capabilities which are discussed in detail.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; design", subject = "{\bf F.2.2}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical Algorithms and Problems, Geometrical problems and computations. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis. {\bf I.3.5}: Computing Methodologies, COMPUTER GRAPHICS, Computational Geometry and Object Modeling, Geometric algorithms, languages, and systems. {\bf I.3.5}: Computing Methodologies, COMPUTER GRAPHICS, Computational Geometry and Object Modeling, Hierarchy and geometric transformations. {\bf F.2.2}: Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical Algorithms and Problems, Sorting and searching.", } @Article{Krogh:1990:AAP, author = "Fred T. Krogh", title = "{ACM} Algorithms Policy", journal = j-TOMS, volume = "16", number = "3", pages = "293--296", month = sep, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/79505.356315", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 23:14:59 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Pothen:1990:CBT, author = "Alex Pothen and Chin-Ju Fan", title = "Computing the Block Triangular Form of a Sparse Matrix", journal = j-TOMS, volume = "16", number = "4", pages = "303--324", month = dec, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/98267.98287", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65F50", MRnumber = "91k:65075", bibdate = "Sat Aug 27 15:58:44 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-4/p303-pothen/", abstract = "We consider the problem of permuting the rows and columns of a rectangular or square, unsymmetric sparse matrix to compute its block triangular form. This block triangular form is based on a canonical decomposition of bipartite graphs induced by a maximum matching and was discovered by Dulmage and Mendelsohn. We describe implementations of algorithms to compute the block triangular form and provide computational results on sparse matrices from test collections. Several applications of the block triangular form are also included.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms; perm; sparse", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse and very large systems. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis. {\bf G.2.1}: Mathematics of Computing, DISCRETE MATHEMATICS, Combinatorics, Permutations and combinations. {\bf G.2.2}: Mathematics of Computing, DISCRETE MATHEMATICS, Graph Theory.", } @Article{Kaufman:1990:APS, author = "Linda Kaufman and Daniel D. Warner", title = "{Algorithm 685}: a Program for Solving Separable Elliptic Equations", journal = j-TOMS, volume = "16", number = "4", pages = "325--351", month = dec, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/98267.98289", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 23:21:57 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-4/p325-kaufman/", abstract = "This paper presents a program SERRG2 that solves separable elliptic equations on a rectangle. The program uses a matrix decomposition technique to directly solve the linear system arising from a Rayleigh--Ritz--Galerkin approach with tensor product B-splines to solve the separable partial differential equation. This approach permits high-order discretizations, variable meshes, and multiple knots.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.8}: Mathematics of Computing, NUMERICAL ANALYSIS, Partial Differential Equations. {\bf G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.", } @Article{Higham:1990:EFM, author = "Nicholas J. Higham", title = "Exploiting Fast Matrix Multiplication Within the Level 3 {BLAS}", journal = j-TOMS, volume = "16", number = "4", pages = "352--368", month = dec, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/98267.98290", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65-04 (65F99)", MRnumber = "1 095 133", bibdate = "Sun Sep 04 23:21:57 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", note = "Describes algorithms based on Strassen's method which are asymptotically faster than the standard ${N}^3$ algorithm, and in practice, faster for ${N}\approx100$, and examines their numerical stability. See \cite{Dongarra:1990:ASL,Demmel:1992:SBA,Dayde:1994:PBI}.", URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-4/p352-higham/", abstract = "The Level 3 BLAS (BLAS3) are a set of specifications of FORTRAN 77 subprograms for carrying out matrix multiplications and the solution of triangular systems with multiple right-hand sides. They are intended to provide efficient and portable building blocks for linear algebra algorithms on high-performance computers. We describe algorithms for the BLAS3 operations that are asymptotically faster than the conventional ones. These algorithms are based on Strassen's method for fast matrix multiplication, which is now recognized to be a practically useful technique once matrix dimensions exceed about 100. We pay particular attention to the numerical stability of these ``fast BLAS3.'' Error bounds are given and their significance is explained and illustrated with the aid of numerical experiments. Our conclusion is that the fast BLAS3, although not as strongly stable as conventional implementations, are stable enough to merit careful consideration in many applications.", acknowledgement = ack-nhfb, fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", keywords = "algorithms", subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra. {\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language Classifications, FORTRAN 77.", } @Article{Reichel:1990:AFS, author = "L. Reichel and W. B. Gragg", title = "{Algorithm 686}: {FORTRAN} Subroutines for Updating the {QR} Decomposition", journal = j-TOMS, volume = "16", number = "4", pages = "369--377", month = dec, year = "1990", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/98267.98291", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Sun Sep 04 23:25:40 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/toms.bib", URL = "http://w