%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "3.58",
%%% date = "13 June 2011",
%%% time = "18:14:34 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 = "http://www.math.utah.edu/~beebe",
%%% checksum = "39029 38913 180486 1735924",
%%% 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), 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://www.acm.org/dl/toc.html
%%% http://www.acm.org/toms/
%%% http://www.acm.org/pubs/contents/journals/toms/
%%% http://portal.acm.org/toc.cfm?idx=J782
%%%
%%% 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 3.58, the COMPLETE year coverage
%%% looks like this:
%%%
%%% 1960 ( 1) 1978 ( 43) 1996 ( 33)
%%% 1961 ( 1) 1979 ( 54) 1997 ( 31)
%%% 1962 ( 1) 1980 ( 57) 1998 ( 30)
%%% 1963 ( 2) 1981 ( 47) 1999 ( 28)
%%% 1964 ( 2) 1982 ( 34) 2000 ( 33)
%%% 1965 ( 1) 1983 ( 43) 2001 ( 21)
%%% 1966 ( 1) 1984 ( 46) 2002 ( 24)
%%% 1967 ( 1) 1985 ( 40) 2003 ( 26)
%%% 1968 ( 1) 1986 ( 34) 2004 ( 28)
%%% 1969 ( 2) 1987 ( 29) 2005 ( 30)
%%% 1970 ( 2) 1988 ( 40) 2006 ( 34)
%%% 1971 ( 1) 1989 ( 32) 2007 ( 28)
%%% 1972 ( 4) 1990 ( 33) 2008 ( 22)
%%% 1973 ( 2) 1991 ( 41) 2009 ( 51)
%%% 1974 ( 7) 1992 ( 36) 2010 ( 37)
%%% 1975 ( 38) 1993 ( 37) 2011 ( 10)
%%% 1976 ( 49) 1994 ( 38)
%%% 1977 ( 46) 1995 ( 31)
%%%
%%% Article: 1342
%%% Misc: 1
%%%
%%% Total entries: 1343
%%%
%%% 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 }"}
%%% ====================================================================
%%% 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|http://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-SPE = "Soft{\-}ware\emdash Prac{\-}tice
and Experience"}
@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",
bibdate = "Fri Feb 07 16:37:16 1997",
note = "See also \cite{Novotny:1985:RNS}.",
}
@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",
bibdate = "Thu Sep 08 09:47:50 1994",
note = "See also \cite{Coleman:1978:RSN}.",
}
@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",
bibdate = "Thu Sep 08 09:47:50 1994",
note = "See also \cite{Skovgaard:1978:RCE}.",
}
@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",
bibdate = "Thu Sep 08 09:47:50 1994",
note = "See also \cite{Pike:1976:RIB}.",
}
@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",
bibdate = "Thu Sep 08 09:47:51 1994",
note = "See also \cite{Tenney:1977:RTO}.",
}
@Article{Gautschi:1964:AAB,
author = "W. Gautschi",
title = "{ACM Algorithm 236}: {Bessel} Functions of the First
Kind",
journal = j-CACM,
volume = "7",
number = "8",
pages = "479--480",
month = aug,
year = "1964",
CODEN = "CACMA2",
ISSN = "0001-0782",
bibdate = "Thu Sep 08 09:47:54 1994",
note = "See also \cite{Skovgaard:1975:RBF}.",
}
@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",
bibdate = "Sat Sep 10 09:12:22 1994",
note = "See also \cite{Misra:1975:RG,Er:1985:RG}.",
}
@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",
bibdate = "Thu Sep 08 09:47:54 1994",
note = "See also \cite{Jansen:1977:RLF}.",
}
@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",
bibdate = "Thu Sep 08 09:47:54 1994",
note = "See also \cite{Ito:1976:RIT}.",
}
@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",
bibdate = "Thu Sep 08 09:47:54 1994",
note = "See also \cite{elLozy:1976:RAC,Hill:1985:RCS}.",
}
@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",
bibdate = "Thu Sep 08 09:47:54 1994",
note = "See also \cite{Tracht:1982:RNR}.",
acknowledgement = ack-nhfb,
}
@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",
bibdate = "Thu Sep 08 09:47:54 1994",
note = "See also \cite{Cormack:1988:RTP}.",
}
@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",
bibdate = "Fri Jun 16 10:30:24 2000",
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",
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",
bibdate = "Thu Sep 08 09:47:54 1994",
note = "See also \cite{elLozy:1979:RAS,Hill:1981:RSD}.",
}
@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",
bibdate = "Thu Apr 29 15:20:10 1999",
note = "See remarks
\cite{Hill:1981:RSD,Hill:1981:RSQ,elLozy:1979:RAS}.",
acknowledgement = ack-nhfb,
}
@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",
bibdate = "Thu Sep 08 09:47:54 1994",
note = "See also
\cite{Sipala:1977:RSM,Gustavson:1978:RSM,Harms:1980:RSM}.",
}
@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",
bibdate = "Thu Sep 08 09:47:54 1994",
note = "See also \cite{Geddes:1979:RCC}.",
}
@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",
bibdate = "Thu Sep 08 09:47:55 1994",
note = "See also \cite{Anderson:1976:RIS}.",
}
@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",
bibdate = "Fri Sep 09 14:13:19 1994",
note = "See also \cite{Boulton:1976:REP}.",
}
@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",
bibdate = "Thu Sep 08 09:47:55 1994",
note = "See also \cite{Schoene:1978:RMI}.",
}
@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",
bibdate = "Thu Sep 08 09:47:55 1994",
note = "See also \cite{Davies:1976:RRF}.",
}
@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",
bibdate = "Thu Sep 08 09:47:55 1994",
note = "See also \cite{Leathers:1979:RAS}.",
}
@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",
bibdate = "Thu Sep 08 09:47:56 1994",
note = "See also \cite{Anderson:1979:RBI}.",
}
@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",
bibdate = "Thu Apr 29 15:23:43 1999",
note = "See remark \cite{Mackay:1977:RPT}.",
}
@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",
bibdate = "Thu Sep 08 09:47:57 1994",
note = "See also \cite{Duta:1976:RVS,vanSwieten:1979:RAV}.",
}
@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",
bibdate = "Thu Sep 08 09:47:57 1994",
note = "See also \cite{White:1976:RMS}.",
}
@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",
bibdate = "Thu Sep 08 09:47:57 1994",
note = "See also \cite{Feinstein:1975:RMT}.",
}
@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",
bibdate = "Thu Sep 08 09:47:57 1994",
note = "See also \cite{Koppelaar:1976:RNI,Veillon:1977:RNI}.",
}
@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",
bibdate = "Thu Sep 08 09:47:57 1994",
note = "See also \cite{Pomeranz:1976:REC}.",
}
@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",
bibdate = "Wed Dec 04 12:25:43 1996",
note = "See also \cite{Brown:1976:RAS}.",
}
@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",
bibdate = "Thu Sep 08 09:47:57 1994",
note = "See also \cite{Morris:1976:RDF}.",
}
%%% ====================================================================
%%% 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",
bibdate = "Thu Apr 29 15:16:58 1999",
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,
}
%%% ====================================================================
%%% 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 = "http://doi.acm.org/10.1145/355626.355627",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 21:29:05 1994",
}
@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",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 21:29:05 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1975-1-1/p4-no_author/",
}
@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 = "http://doi.acm.org/10.1145/355626.355629",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 21:29:05 1994",
}
@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",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 21:29:05 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1975-1-1/p7-no_author/",
}
@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 = "http://doi.acm.org/10.1145/355626.355631",
ISSN = "0098-3500",
bibdate = "Fri Aug 26 23:44:16 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355626.355632",
ISSN = "0098-3500",
MRclass = "68A10 (65H05)",
MRnumber = "53 #2009",
bibdate = "Fri Aug 26 23:44:16 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355626.355633",
ISSN = "0098-3500",
bibdate = "Fri Aug 26 23:35:13 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355626.355634",
ISSN = "0098-3500",
bibdate = "Fri Aug 26 23:44:16 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355626.355635",
ISSN = "0098-3500",
MRclass = "65D20",
MRnumber = "52 #2148",
bibdate = "Fri Aug 26 23:44:16 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355626.355636",
ISSN = "0098-3500",
MRclass = "65L99 (68A10)",
MRnumber = "51 #14600",
bibdate = "Fri Aug 26 23:44:16 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355637.355638",
ISSN = "0098-3500",
MRclass = "(Reviewer: R. P. Brent (CR {17} \#29471)) 65K05",
MRnumber = "53 #14908",
bibdate = "Sat Dec 20 10:45:23 1997",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355637.355639",
ISSN = "0098-3500",
MRclass = "65G05",
MRnumber = "53 #9622",
bibdate = "Fri Aug 26 23:44:16 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355637.355640",
ISSN = "0098-3500",
MRclass = "65D30",
MRnumber = "51 #7248",
bibdate = "Fri Aug 26 23:44:16 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355637.355641",
ISSN = "0098-3500",
MRclass = "90C99",
MRnumber = "58 #4363",
bibdate = "Fri Aug 26 23:44:16 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355637.355642",
ISSN = "0098-3500",
bibdate = "Fri Aug 26 23:44:16 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355637.355643",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 00:27:23 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355644.355645",
ISSN = "0098-3500",
bibdate = "Fri Aug 26 23:44:16 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355644.355646",
ISSN = "0098-3500",
bibdate = "Fri Aug 26 23:44:16 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355644.355647",
ISSN = "0098-3500",
bibdate = "Fri Aug 26 23:44:16 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355644.355648",
ISSN = "0098-3500",
MRclass = "65F35",
MRnumber = "52 #2176",
bibdate = "Fri Aug 26 23:44:16 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355644.355649",
ISSN = "0098-3500",
bibdate = "Fri Aug 26 23:44:16 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355644.355650",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 18:06:09 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355644.355651",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 16:10:20 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355644.355652",
ISSN = "0098-3500",
bibdate = "Thu Apr 29 15:21:30 1999",
note = "See remark \cite{Kaufman:1976:RLA}.",
}
@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 = "http://doi.acm.org/10.1145/355644.355653",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:27:11 1994",
note = "See \cite{Gautschi:1964:AAB}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355644.355654",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:27:09 1994",
note = "See \cite{Watkins:1974:MTD}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355644.356449",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 20:42:41 1994",
note = "See \cite{Boothroyd:1964:G,Er:1985:RG}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355656.355657",
ISSN = "0098-3500",
MRclass = "68A10 (68A20)",
MRnumber = "52 #9676",
bibdate = "Fri Aug 26 23:35:17 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355656.355658",
ISSN = "0098-3500",
MRclass = "68A10 (68A20)",
MRnumber = "52 #9677",
bibdate = "Sat Aug 27 00:20:57 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355656.355659",
ISSN = "0098-3500",
MRclass = "65H05",
MRnumber = "52 #7112",
bibdate = "Fri Aug 26 23:12:30 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355656.355660",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 00:22:26 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355656.355661",
ISSN = "0098-3500",
MRclass = "65Q05",
MRnumber = "52 #7171",
bibdate = "Sat Aug 27 00:22:51 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355656.355662",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 00:24:04 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355656.355663",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 00:24:33 1994",
note = "See also \cite{Razaz:1981:RAF}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355656.355664",
ISSN = "0098-3500",
bibdate = "Fri Mar 28 11:10:19 2003",
note = "See \cite{TadeudeMedeiros:1969:APF}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355656.355665",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 00:22:51 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355666.355667",
ISSN = "0098-3500",
MRclass = "65D30 (68A10)",
MRnumber = "54 #9058c",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355666.355668",
ISSN = "0098-3500",
MRclass = "65F05",
MRnumber = "54 #4073",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355666.355669",
ISSN = "0098-3500",
MRclass = "65D30",
MRnumber = "53 #1919",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355666.355670",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355666.355671",
ISSN = "0098-3500",
MRclass = "65D30",
MRnumber = "53 #1921",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355666.355672",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 00:35:20 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355666.355673",
ISSN = "0098-3500",
bibdate = "Thu Apr 29 15:25:28 1999",
note = "See remarks \cite{Dunham:1977:RMU,Shanno:1980:RMU}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355666.355674",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 23:07:07 1994",
note = "See remark \cite{Futrell:1978:RTA}.",
acknowledgement = ack-nhfb,
}
@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",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 18:03:58 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1976-2-1/p98-kubiviek/",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355666.355676",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:27:20 1994",
note = "See \cite{March:1972:EPT}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355666.355677",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:27:22 1994",
note = "See \cite{Wright:1974:VSP}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355666.355678",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:27:24 1994",
note = "See \cite{Page:1974:MST}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355666.355679",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:27:25 1994",
note = "See \cite{Pomeranz:1974:ECD}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355666.355680",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:27:18 1994",
note = "See \cite{Ginsberg:1975:DFR}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355681.355682",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355681.355683",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355681.355684",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355681.355685",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355681.355686",
ISSN = "0098-3500",
MRclass = "65R05",
MRnumber = "54 #6528",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355681.355687",
ISSN = "0098-3500",
MRclass = "65L05",
MRnumber = "54 #1621",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355681.355688",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 10:18:18 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355681.355689",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 00:51:30 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355681.355690",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 00:52:29 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355681.355691",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 00:52:49 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355681.355692",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:27:26 1994",
note = "See \cite{Ludwig:1963:IBR}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355681.355693",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:27:27 1994",
note = "See \cite{Akima:1972:ISC}.",
acknowledgement = ack-nhfb,
}
@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",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 00:30:21 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1976-2-3/p209-lozier/",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355694.355696",
ISSN = "0098-3500",
MRclass = "65F30",
MRnumber = "54 #1575",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355694.355697",
ISSN = "0098-3500",
MRclass = "65F05",
MRnumber = "54 #6472",
bibdate = "Fri Aug 26 23:35:17 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355694.355698",
ISSN = "0098-3500",
MRclass = "65D15 (65D20)",
MRnumber = "55 #4602",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355694.355699",
ISSN = "0098-3500",
MRclass = "65N10",
MRnumber = "54 #4135",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355694.355700",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 18:03:53 1994",
note = "See also \cite{Flamm:1982:RHE}.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355694.355701",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 01:01:50 1994",
note = "See also \cite{Hanson:1982:RPQ}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355694.355702",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355694.355703",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:27:28 1994",
note = "See \cite{MacHura:1973:RFM}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355694.355704",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:27:31 1994",
note = "See \cite{Floyd:1975:ASF}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355705.355706",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355705.355707",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 01:07:27 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355705.355708",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 01:08:17 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355705.355709",
ISSN = "0098-3500",
MRclass = "12A20 (12-04)",
MRnumber = "56 #8521",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355705.355710",
ISSN = "0098-3500",
MRclass = "12-04 (12D10 30A08 65H05)",
MRnumber = "56 #299",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355705.355711",
ISSN = "0098-3500",
MRclass = "68A10 (05A17 10A45)",
MRnumber = "57 #4605",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355705.355712",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 01:11:54 1994",
note = "See also \cite{Lewis:1982:RMB}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355705.355713",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 01:11:35 1994",
note = "See also \cite{Lewis:1982:RMB}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355705.355714",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 01:12:13 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355705.355715",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:27:34 1994",
note = "See \cite{Fletcher:1966:ITB}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355705.355716",
ISSN = "0098-3500",
bibdate = "Fri Mar 28 11:04:46 2003",
note = "See \cite{Hill:1967:CSI,Hill:1985:RCS}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355705.355717",
ISSN = "0098-3500",
bibdate = "Thu Apr 29 15:27:20 1999",
note = "See \cite{Veillon:1974:NIL,Piessens:1984:RNI}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355705.355718",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:27:42 1994",
note = "See \cite{Kaufman:1975:ALA}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355719.355720",
ISSN = "0098-3500",
MRclass = "68A15",
MRnumber = "55 #11696",
bibdate = "Sat Aug 27 22:12:55 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355719.355721",
ISSN = "0098-3500",
MRclass = "65G05",
MRnumber = "55 #13765",
bibdate = "Fri Sep 02 22:30:11 1994",
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,
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 = "http://doi.acm.org/10.1145/355719.355722",
ISSN = "0098-3500",
MRclass = "65L05",
MRnumber = "56 #4175",
bibdate = "Sat Aug 27 22:12:55 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355719.355723",
ISSN = "0098-3500",
MRclass = "65T05",
MRnumber = "55 #11658",
bibdate = "Sat Aug 27 22:12:55 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355719.355724",
ISSN = "0098-3500",
MRclass = "65C99",
MRnumber = "55 #11561",
bibdate = "Sat Aug 27 22:12:55 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355719.355725",
ISSN = "0098-3500",
MRclass = "65F15",
MRnumber = "55 #6814",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355719.355726",
ISSN = "0098-3500",
MRclass = "65D20",
MRnumber = "55 #6781",
bibdate = "Tue Sep 06 19:20:02 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355719.355727",
ISSN = "0098-3500",
bibdate = "Thu Apr 29 15:14:12 1999",
note = "See erratum \cite{Amos:1978:ECS}.",
}
@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 = "http://doi.acm.org/10.1145/355719.355728",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 22:22:47 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355719.355729",
ISSN = "0098-3500",
MRclass = "68A10",
MRnumber = "55 #13866",
bibdate = "Thu Apr 29 15:17:56 1999",
note = "See remark \cite{Leathers:1979:RAS}.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355719.355730",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:27:43 1994",
note = "See \cite{Veillon:1974:NIL,Piessens:1984:RNI}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355719.355731",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:27:59 1994",
note = "See \cite{Shanno:1976:AMU}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355732.355733",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 22:26:34 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355732.355734",
ISSN = "0098-3500",
MRclass = "65R05",
MRnumber = "56 #4205",
bibdate = "Sat Aug 27 22:26:34 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355732.355735",
ISSN = "0098-3500",
MRclass = "65F05",
MRnumber = "55 #13753",
bibdate = "Sat Aug 27 22:26:34 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355732.355736",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 22:26:34 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355732.355737",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 22:26:34 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355732.355738",
ISSN = "0098-3500",
}
@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 = "http://doi.acm.org/10.1145/355732.355739",
ISSN = "0098-3500",
}
@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 = "http://doi.acm.org/10.1145/355732.355740",
ISSN = "0098-3500",
}
@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 = "http://doi.acm.org/10.1145/355732.355741",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 22:34:22 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355732.355742",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 13:07:36 1994",
note = "See \cite{Loeser:1974:SPT}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355732.356467",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 00:59:04 1994",
note = "See \cite{Gautschi:1965:LFA}.",
acknowledgement = ack-nhfb,
}
@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",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 22:53:20 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1977-3-3/p209-bentley/",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355744.355746",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 22:26:34 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355744.355747",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 22:26:34 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355744.355748",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 22:26:34 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355744.355749",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 22:26:34 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355744.355750",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 22:58:34 1994",
acknowledgement = ack-nhfb,
country = "USA",
date = "13/05/93",
descriptors = "RVG;",
enum = "7496",
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 = "http://doi.acm.org/10.1145/355744.355751",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 22:26:34 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355744.355752",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 22:26:34 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355744.355753",
ISSN = "0098-3500",
bibdate = "Sat Oct 24 15:46:06 1998",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355744.355754",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:01:47 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355744.355755",
ISSN = "0098-3500",
}
@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 = "http://doi.acm.org/10.1145/355744.355756",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:03:07 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355744.355757",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:02 1994",
note = "See \cite{McNamee:1971:SMP}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355744.356472",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:02 1994",
note = "See \cite{Kase:1963:TOP}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355759.355760",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:06:22 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355759.355761",
ISSN = "0098-3500",
MRclass = "65D15",
MRnumber = "58 #3319",
bibdate = "Sat Aug 27 23:07:03 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355759.355762",
ISSN = "0098-3500",
MRclass = "65L05",
MRnumber = "57 #1904",
bibdate = "Fri Sep 30 01:01:06 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355759.355763",
ISSN = "0098-3500",
MRclass = "65C10",
MRnumber = "57 #1827",
bibdate = "Sat Aug 27 23:09:02 1994",
acknowledgement = ack-nhfb,
country = "USA",
date = "13/05/93",
descriptors = "RVG;",
enum = "7752",
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 = "http://doi.acm.org/10.1145/355759.355764",
ISSN = "0098-3500",
MRclass = "90B10 (05C30)",
MRnumber = "57 #11690",
bibdate = "Sat Aug 27 23:07:03 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355759.355765",
ISSN = "0098-3500",
MRclass = "65F05",
MRnumber = "57 #7962a",
bibdate = "Fri Sep 30 01:01:45 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355759.355766",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:07:03 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355759.355767",
ISSN = "0098-3500",
MRclass = "65F05",
MRnumber = "57 #7962b",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355759.355768",
ISSN = "0098-3500",
}
@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",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:13:25 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1978-4-1/p1-wong/",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355769.355771",
ISSN = "0098-3500",
MRclass = "68A10",
MRnumber = "57 #18205",
bibdate = "Sat Aug 27 23:14:36 1994",
acknowledgement = ack-nhfb,
keywords = "blas; nla; norm; software; floating-point arithmetic;
floating-point overflow; floating-point underflow",
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 = "http://doi.acm.org/10.1145/355769.355772",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 20:42:29 1994",
note = "See also \cite{Celis:1984:RCE}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355769.355773",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355769.355774",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355769.355775",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355769.355776",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:35:50 1999",
note = "See also
\cite{Brent:1979:RMF,Brent:1980:AIB,Smith:1998:AMP}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355769.355777",
ISSN = "0098-3500",
}
@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 = "http://doi.acm.org/10.1145/355769.355778",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 23:07:36 1994",
note = "See \cite{Simpson:1976:AFT}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355769.356473",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:02 1994",
note = "See \cite{Merner:1962:CEI}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355780.355781",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:23:41 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355780.355782",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355780.355783",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:13:25 1994",
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,
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 = "http://doi.acm.org/10.1145/355780.355784",
ISSN = "0098-3500",
MRclass = "65L10",
MRnumber = "58 #3483",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355780.355785",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 19:40:23 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355780.355786",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355780.355787",
ISSN = "0098-3500",
bibdate = "Sun Sep 4 20:54:19 1994",
note = "See also \cite{Akima:1979:RBI,Preusser:1985:RBI}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355780.355788",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:30:03 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355780.355789",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:30:46 1994",
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",
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 = "http://doi.acm.org/10.1145/355780.355790",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:31:27 1994",
acknowledgement = ack-nhfb,
}
@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",
ISSN = "0098-3500",
MRclass = "65L15",
MRnumber = "80a:65181",
bibdate = "Sat Aug 27 23:13:25 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1978-4-3/p193-gordon/",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355791.355793",
ISSN = "0098-3500",
MRclass = "65-04",
MRnumber = "80a:65009",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355791.355794",
ISSN = "0098-3500",
MRclass = "65G05",
MRnumber = "80a:65092a",
bibdate = "Thu Apr 29 15:22:59 1999",
note = "See errata \cite{Larson:1979:ECE}.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355791.355795",
ISSN = "0098-3500",
MRclass = "12-04 (68C20)",
MRnumber = "82g:12001",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355791.355796",
ISSN = "0098-3500",
MRclass = "65F30 (65-04)",
MRnumber = "80a:65086",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355791.355797",
ISSN = "0098-3500",
MRclass = "65F05 (65-04)",
MRnumber = "80a:65065",
bibdate = "Fri Aug 26 23:35:36 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355791.355798",
ISSN = "0098-3500",
MRclass = "65F15",
MRnumber = "80a:65082",
bibdate = "Sat Aug 27 23:37:26 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355791.355799",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:37:47 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355791.355800",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:38:29 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355791.355801",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:02 1994",
note = "See \cite{Herndon:1961:SNF}.",
acknowledgement = ack-nhfb,
}
@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",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:02 1994",
note = "See \cite{McNamee:1971:SMP}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1978-4-3/p295-mcnamee/",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355791.355803",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:02 1994",
note = "See \cite{Fullerton:1972:MIG}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356502.356476",
ISSN = "0098-3500",
MRclass = "65R20",
MRnumber = "80a:65264",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356502.356477",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356502.356478",
ISSN = "0098-3500",
MRclass = "65L05",
MRnumber = "80c:65157",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356502.356494",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356502.356495",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356502.356496",
ISSN = "0098-3500",
MRclass = "65G05 (65F99)",
MRnumber = "81i:65035",
bibdate = "Sat Aug 27 23:48:16 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356502.356497",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:48:45 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356502.356498",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:49:20 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356502.356499",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:50:02 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356502.356500",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 20:40:17 1994",
note = "See also \cite{Garbow:1982:RQA,Garbow:1984:RQA}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356502.356501",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:02 1994",
note = "See \cite{Amos:1977:ACS}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355815.355816",
ISSN = "0098-3500",
MRclass = "65N30 (65-04)",
MRnumber = "80c:65213",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355815.355817",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355815.355818",
ISSN = "0098-3500",
MRclass = "65N20",
MRnumber = "80b:65129",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355815.355819",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:55:38 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355815.355820",
ISSN = "0098-3500",
MRclass = "65H05",
MRnumber = "80c:65110",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355815.355821",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:41:04 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355815.355822",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355815.355823",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:58:53 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355815.355824",
ISSN = "0098-3500",
}
@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 = "http://doi.acm.org/10.1145/355815.355825",
ISSN = "0098-3500",
}
@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 = "http://doi.acm.org/10.1145/355826.355827",
ISSN = "0098-3500",
bibdate = "Sun Aug 28 00:01:38 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355826.355828",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355826.355829",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355826.355830",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 23:13:25 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355826.355831",
ISSN = "0098-3500",
MRclass = "65-04",
MRnumber = "80d:65006a",
bibdate = "Thu Apr 29 15:18:18 1999",
note = "See corrigenda \cite{deBoor:1979:CCM}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355826.355832",
ISSN = "0098-3500",
MRclass = "68H05 (68G10)",
MRnumber = "80e:68236",
bibdate = "Sun Aug 28 00:06:29 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355826.355833",
ISSN = "0098-3500",
bibdate = "Sun Aug 28 00:06:29 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355826.355834",
ISSN = "0098-3500",
bibdate = "Sun Aug 28 00:06:29 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355826.355835",
ISSN = "0098-3500",
MRclass = "65-04 (65F99 68C20)",
MRnumber = "80c:65005",
bibdate = "Sun Aug 28 00:06:29 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355826.355836",
ISSN = "0098-3500",
MRclass = "65R20",
MRnumber = "80k:65102",
bibdate = "Sat Nov 19 13:07:40 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355826.355837",
ISSN = "0098-3500",
bibdate = "Fri Mar 28 11:05:53 2003",
note = "See
\cite{Hill:1970:SD,Hill:1970:SQ,Hill:1981:RSD,Hill:1985:RCS}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355826.355838",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:02 1994",
note = "See \cite{Gentleman:1972:CCQ}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355826.355839",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:02 1994",
note = "See \cite{Akima:1974:BIS}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355826.355840",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:03 1994",
note = "See \cite{Akima:1978:ABI,Preusser:1985:RBI}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355841.355842",
ISSN = "0098-3500",
bibdate = "Sun Aug 28 00:06:29 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355841.355843",
ISSN = "0098-3500",
MRclass = "65N20",
MRnumber = "80e:65093",
bibdate = "Sun Aug 28 00:06:29 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355841.355844",
ISSN = "0098-3500",
bibdate = "Sun Aug 28 00:06:29 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355841.355845",
ISSN = "0098-3500",
bibdate = "Sun Aug 28 00:06:29 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355841.355846",
ISSN = "0098-3500",
MRclass = "65D15",
MRnumber = "80e:65020",
bibdate = "Sun Aug 28 00:06:29 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355841.355847",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 19:42:33 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355841.355848",
ISSN = "0098-3500",
bibdate = "Thu May 20 13:48:12 2004",
note = "See also
\cite{Dodson:1982:RBL,Dodson:1983:CRB,Hanson:1987:ATA,Louter-Nool:1988:ATA,Hanson:2004:AAV}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355841.355849",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 09:21:53 1994",
note = "See also \cite{Hopkins:1992:RPG}.",
acknowledgement = ack-nhfb,
}
@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",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 19:43:36 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1979-5-3/p352-swartztrauber/",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355841.355851",
ISSN = "0098-3500",
bibdate = "Sat Feb 24 09:58:08 1996",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355841.355852",
ISSN = "0098-3500",
MRclass = "372. 65G05",
MRnumber = "80a:65092b",
bibdate = "Sat Nov 19 13:07:42 1994",
note = "See \cite{Larson:1978:ECE}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355853.355854",
ISSN = "0098-3500",
bibdate = "Sun Aug 28 00:32:50 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355853.355855",
ISSN = "0098-3500",
bibdate = "Sun Aug 28 00:32:50 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355853.355856",
ISSN = "0098-3500",
bibdate = "Sun Aug 28 00:32:50 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355853.355857",
ISSN = "0098-3500",
bibdate = "Sun Aug 28 00:32:50 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355853.355858",
ISSN = "0098-3500",
bibdate = "Sun Aug 28 00:32:50 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355853.355859",
ISSN = "0098-3500",
bibdate = "Sun Aug 28 00:32:50 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355853.355860",
ISSN = "0098-3500",
bibdate = "Fri Aug 26 23:38:08 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355853.355861",
ISSN = "0098-3500",
bibdate = "Sun Aug 28 00:32:50 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355853.355862",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 19:44:12 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355853.355863",
ISSN = "0098-3500",
bibdate = "Sun Aug 28 00:32:50 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355853.355864",
ISSN = "0098-3500",
bibdate = "Sun Aug 28 00:39:50 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355853.355865",
ISSN = "0098-3500",
bibdate = "Sun Aug 28 00:40:38 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355853.355866",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 01:04:18 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355853.355867",
ISSN = "0098-3500",
bibdate = "Sun Aug 28 00:41:29 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355853.355868",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:35:42 1999",
note = "See
\cite{Brent:1978:AMF,Brent:1980:AIB,Smith:1998:AMP}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355853.355869",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:03 1994",
note = "See \cite{Cate:1977:AAS,Brenner:1973:MTP}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355853.355870",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:03 1994",
note = "See \cite{Wright:1974:VSP}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355853.355871",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:06 1994",
note = "See \cite{Fox:1978:AFP}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355853.355872",
ISSN = "0098-3500",
MRclass = "525. 65-04",
MRnumber = "80d:65006b",
bibdate = "Sat Oct 24 15:50:17 1998",
note = "See \cite{deBoor:1979:ECM}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355873.355874",
ISSN = "0098-3500",
MRclass = "90B10 (68E10)",
MRnumber = "80m:90046",
bibdate = "Mon Aug 29 08:58:06 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355873.355875",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 08:58:06 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355873.355876",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 08:58:06 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355873.355877",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 11:55:50 1994",
acknowledgement = ack-nhfb,
keywords = "adaptive approximation; automatic curve fitting; data
compression; interactive display; {$L_2$} approximation
with continuity constraints; modeling and simulation
systems; numerical stability; one-sided algorithm;
piecewise cubic polynomials",
}
@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 = "http://doi.acm.org/10.1145/355873.355878",
ISSN = "0098-3500",
MRclass = "68J05 (65C20)",
MRnumber = "80m:68086",
bibdate = "Mon Aug 29 08:58:06 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355873.355879",
ISSN = "0098-3500",
MRclass = "68E05",
MRnumber = "80m:68056",
bibdate = "Mon Aug 29 08:58:06 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355873.355880",
ISSN = "0098-3500",
bibdate = "Sat Oct 24 15:50:20 1998",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355873.355881",
ISSN = "0098-3500",
bibdate = "Sat Oct 24 15:50:24 1998",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355873.355882",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 10:29:10 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355873.355883",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 10:29:23 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355873.355884",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 10:31:24 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355873.355885",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 14:44:11 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355873.355886",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 08:58:06 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355887.355888",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 10:33:27 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355887.355889",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:35:33 1999",
note = "See
\cite{Brent:1978:AMF,Brent:1979:RMF,Smith:1998:AMP}.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355887.355890",
ISSN = "0098-3500",
MRclass = "68C20 (68F25)",
MRnumber = "81g:68058",
bibdate = "Mon Aug 29 10:33:27 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355887.355891",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 10:33:27 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355887.355892",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 10:33:27 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355887.355893",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 10:33:27 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355887.355894",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 10:33:27 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355887.355895",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 10:44:41 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355887.355896",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 10:46:51 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355887.355897",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 10:49:22 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355887.355898",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 10:49:42 1994",
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 = "http://doi.acm.org/10.1145/355887.355899",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 10:17:11 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355901",
ISSN = "0098-3500",
MRclass = "65L05",
MRnumber = "81m:65119",
bibdate = "Mon Aug 29 10:57:24 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355902",
ISSN = "0098-3500",
MRclass = "65L05",
MRnumber = "82e:65078",
bibdate = "Mon Aug 29 10:57:24 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355903",
ISSN = "0098-3500",
MRclass = "65L05",
MRnumber = "81m:65120",
bibdate = "Mon Aug 29 10:57:24 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355904",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 10:57:24 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355905",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 10:57:24 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355906",
ISSN = "0098-3500",
MRclass = "65F05 (68E10)",
MRnumber = "82i:65022",
bibdate = "Mon Aug 29 10:57:24 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355907",
ISSN = "0098-3500",
MRclass = "65C10 (68-01)",
MRnumber = "81k:65010",
bibdate = "Mon Aug 29 10:57:24 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355908",
ISSN = "0098-3500",
MRclass = "65D30 (68-04)",
MRnumber = "82b:65011",
bibdate = "Mon Aug 29 10:57:24 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355909",
ISSN = "0098-3500",
MRclass = "90C05",
MRnumber = "81i:90122",
bibdate = "Mon Aug 29 10:57:24 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355910",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 10:57:24 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355911",
ISSN = "0098-3500",
MRclass = "90C20 (65K05)",
MRnumber = "81i:90162",
bibdate = "Mon Aug 29 10:57:24 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355912",
ISSN = "0098-3500",
MRclass = "65F15 (15A21)",
MRnumber = "81m:65054",
bibdate = "Fri Aug 26 23:38:10 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355913",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 11:13:05 1994",
note = "See remark in \cite{Amos:1983:REI}.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355914",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 11:13:53 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355915",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 11:14:45 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355916",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 11:15:40 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355917",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 15:16:29 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355918",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 11:17:27 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355919",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 11:17:56 1994",
note = "See also \cite{Pape:1983:RSP}.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355900.355920",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:06 1994",
note = "See \cite{McNamee:1971:SMP}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355921.355922",
ISSN = "0098-3500",
MRclass = "65M99 (65-04 65N99)",
MRnumber = "81k:65106",
bibdate = "Mon Aug 29 11:23:03 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355921.355923",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 11:23:03 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355921.355924",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 11:23:03 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355921.355925",
ISSN = "0098-3500",
MRclass = "65F15",
MRnumber = "81k:65044",
bibdate = "Mon Aug 29 11:27:44 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355921.355926",
ISSN = "0098-3500",
MRclass = "65L05",
MRnumber = "81k:65084",
bibdate = "Mon Aug 29 11:23:03 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355921.355927",
ISSN = "0098-3500",
MRclass = "68G10 (52-04 52A45 68E10 90C10)",
MRnumber = "82g:68084",
bibdate = "Mon Aug 29 11:23:03 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355921.355928",
ISSN = "0098-3500",
MRclass = "65D20",
MRnumber = "82d:65019",
bibdate = "Mon Aug 29 11:23:03 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355921.355929",
ISSN = "0098-3500",
MRclass = "65D99 (65K05)",
MRnumber = "81m:65042",
bibdate = "Mon Aug 29 11:23:03 1994",
acknowledgement = ack-nhfb,
keywords = "{$L_1$} approximation; least absolute deviation;
problem generator; test data",
}
@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 = "http://doi.acm.org/10.1145/355921.355930",
ISSN = "0098-3500",
MRclass = "90C33 (65K05)",
MRnumber = "82a:90165",
bibdate = "Sat Aug 27 15:41:12 1994",
acknowledgement = ack-nhfb,
keywords = "data filling; discrete approximation; $\ell_1$ norm;
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 = "http://doi.acm.org/10.1145/355921.355931",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:22:14 1999",
note = "See remark \cite{Koenker:1996:RBC}.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355921.355932",
ISSN = "0098-3500",
keywords = "{$L_1$} approximation; least absolute deviation;
problem generator; test data",
}
@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 = "http://doi.acm.org/10.1145/355921.355933",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 01:07:08 1994",
note = "See \cite{Shanno:1976:AMU}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355934.355935",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 01:46:37 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355934.355936",
ISSN = "0098-3500",
MRclass = "90C30",
MRnumber = "83b:90144",
bibdate = "Mon Aug 29 22:02:12 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355934.355937",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 22:02:12 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355934.355938",
ISSN = "0098-3500",
MRclass = "65D30",
MRnumber = "83c:65033a",
bibdate = "Sat Nov 19 13:07:46 1994",
note = "See also \cite{Fritsch:1981:CIU}.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355934.355939",
ISSN = "0098-3500",
MRclass = "65D30",
MRnumber = "83d:65058",
bibdate = "Mon Aug 29 22:02:12 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355934.355940",
ISSN = "0098-3500",
MRclass = "65D20 (65G05)",
MRnumber = "83a:65017",
bibdate = "Mon Aug 29 22:02:12 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355934.355941",
ISSN = "0098-3500",
MRclass = "65M20",
MRnumber = "83a:65082",
bibdate = "Mon Aug 29 22:02:12 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355934.355942",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 22:16:02 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355934.355943",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 13:13:44 1994",
note = "See also \cite{Averbukh:1994:RA}.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355934.355944",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 22:17:34 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355945.355946",
ISSN = "0098-3500",
MRclass = "65F50 (65F15)",
MRnumber = "84h:65045",
bibdate = "Fri Sep 30 01:47:15 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355945.355947",
ISSN = "0098-3500",
MRclass = "65F05",
MRnumber = "83d:65092",
bibdate = "Mon Aug 29 22:19:35 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355945.355948",
ISSN = "0098-3500",
MRclass = "65F15",
MRnumber = "83d:65118",
bibdate = "Mon Aug 29 22:19:35 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355945.355949",
ISSN = "0098-3500",
MRclass = "65D20",
MRnumber = "83d:65046",
bibdate = "Mon Aug 29 22:19:35 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355945.355950",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 01:48:04 1994",
acknowledgement = ack-nhfb,
annote = "collocation",
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 = "http://doi.acm.org/10.1145/355945.355951",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 22:26:51 1994",
note = "See also \cite{Hake:1986:RCC}.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355945.355952",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 22:27:33 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355945.355953",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 22:28:34 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355945.355954",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 22:31:55 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355945.355955",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:07 1994",
note = "See
\cite{Hill:1970:SD,Hill:1970:SQ,elLozy:1979:RAS}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355945.355956",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:07 1994",
note = "See \cite{Hill:1970:SQ}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355945.355957",
ISSN = "0098-3500",
MRclass = "252. 65D30",
MRnumber = "83c:65033b",
bibdate = "Mon Aug 29 22:19:35 1994",
note = "See \cite{Fritsch:1981:DIU}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355958.355959",
ISSN = "0098-3500",
MRclass = "65G05",
MRnumber = "82i:65030",
bibdate = "Mon Aug 29 22:44:37 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355958.355960",
ISSN = "0098-3500",
MRclass = "68B99 (65G99 68C05)",
MRnumber = "82h:68041",
bibdate = "Mon Aug 29 22:44:37 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355958.355961",
ISSN = "0098-3500",
MRclass = "62M15",
MRnumber = "82m:62213",
bibdate = "Mon Aug 29 22:44:37 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355958.355962",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 11:51:54 1994",
annote = "parabolic equations",
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 = "http://doi.acm.org/10.1145/355958.355963",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 22:49:58 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355958.355964",
ISSN = "0098-3500",
MRclass = "65D07",
MRnumber = "82h:65009",
bibdate = "Mon Aug 29 22:44:37 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355958.355965",
ISSN = "0098-3500",
bibdate = "Fri Aug 26 23:38:10 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355958.355966",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 22:52:21 1994",
note = "See also \cite{Gay:1983:RNE}.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355958.355967",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 22:55:24 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355958.355968",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 22:56:49 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355958.355969",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 22:57:25 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355958.355970",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 22:58:27 1994",
acknowledgement = ack-nhfb,
keywords = "elliptic integrals; inverse circular functions;
inverse hyperbolic functions; logarithms;
$R$-functions",
}
@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 = "http://doi.acm.org/10.1145/355958.355971",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:07 1994",
note = "See \cite{Prince:1975:AAF}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355972.355973",
ISSN = "0098-3500",
MRclass = "65L05",
MRnumber = "83d:65215",
bibdate = "Mon Aug 29 23:03:20 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355972.355974",
ISSN = "0098-3500",
MRclass = "65L99 (34K99)",
MRnumber = "83d:65243",
bibdate = "Mon Aug 29 23:03:20 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355972.355975",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 23:03:20 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355972.355976",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 23:03:20 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355972.355977",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 01:08:44 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355972.355978",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 23:03:20 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355972.355979",
ISSN = "0098-3500",
MRclass = "65D25",
MRnumber = "83d:65056",
bibdate = "Mon Aug 29 23:03:20 1994",
acknowledgement = ack-nhfb,
keywords = "analytic functions; numerical differentiation; Taylor
series coefficients",
}
@Article{Croz: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 = "http://doi.acm.org/10.1145/355972.355980",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 23:03:20 1994",
acknowledgement = ack-nhfb,
keywords = "Gaussian elimination; paged virtual store",
}
@Article{Croz: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 = "http://doi.acm.org/10.1145/355972.355981",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 23:12:14 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355972.355982",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 23:12:50 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355972.355983",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 23:13:39 1994",
note = "See also \cite{Buckley:1982:RQS}.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355984.355985",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 23:14:59 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355984.355986",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 23:14:59 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355984.355987",
ISSN = "0098-3500",
MRclass = "41A50 (65D15)",
MRnumber = "84i:41038",
bibdate = "Mon Aug 29 23:14:59 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355984.355988",
ISSN = "0098-3500",
MRclass = "68C05 (05C38 68E10)",
MRnumber = "83h:68041",
bibdate = "Mon Aug 29 23:14:59 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355984.355989",
ISSN = "0098-3500",
MRclass = "65F10 (65F20)",
MRnumber = "83f:65048",
bibdate = "Fri Aug 26 23:38:14 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355984.355990",
ISSN = "0098-3500",
MRclass = "65F30",
MRnumber = "83f:65058",
bibdate = "Mon Aug 29 23:23:48 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355984.355991",
ISSN = "0098-3500",
bibdate = "Fri Aug 26 23:38:11 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355984.355992",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:07 1994",
note = "See \cite{Bell:1968:NRD}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355993.355994",
ISSN = "0098-3500",
MRclass = "65L05",
MRnumber = "83f:65115",
bibdate = "Mon Aug 29 23:27:37 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355993.355995",
ISSN = "0098-3500",
MRclass = "65L05",
MRnumber = "83g:65072",
bibdate = "Mon Aug 29 23:27:37 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355993.355996",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 23:27:37 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355993.355997",
ISSN = "0098-3500",
MRclass = "65C10 (60-04 62E99)",
MRnumber = "84c:65016",
bibdate = "Mon Aug 29 23:31:37 1994",
acknowledgement = ack-nhfb,
country = "USA",
date = "13/05/93",
descriptors = "RVG;",
enum = "6930",
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 = "http://doi.acm.org/10.1145/355993.355998",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 23:27:37 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355993.355999",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 23:34:27 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355993.356000",
ISSN = "0098-3500",
bibdate = "Fri Aug 26 23:38:14 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355993.356001",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 23:37:42 1994",
note = "See also \cite{Hanson:1986:RCA}.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/355993.356002",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:07 1994",
note = "See \cite{Stewart:1976:AHE}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/355993.356003",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:07 1994",
note = "See \cite{Crane:1976:AMB,Gibbs:1976:AHP}.",
acknowledgement = ack-nhfb,
}
@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",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 23:27:37 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1982-8-3/p229-mitra/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356004.356006",
ISSN = "0098-3500",
MRclass = "65F05",
MRnumber = "84d:65020",
bibdate = "Mon Aug 29 23:27:37 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356004.356007",
ISSN = "0098-3500",
MRclass = "65F40 (68Q40)",
MRnumber = "85b:65037",
bibdate = "Mon Aug 29 23:27:37 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356004.356008",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 23:49:19 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356004.356009",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 23:49:22 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356004.356010",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 20:52:33 1994",
note = "See also \cite{Dadurkevicius:1989:RA}.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356004.356011",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:07 1994",
note = "See \cite{Herriot:1976:APQ}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356012.356013",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:02:03 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356012.356014",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:02:03 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356012.356015",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:05:54 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356012.356016",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:05:58 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356012.356017",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 20:17:25 1994",
note = "See also \cite{Petkov:1984:RDE}.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356012.356018",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:08:00 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356012.356019",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:07 1994",
note = "See \cite{Garbow:1978:AQA,Garbow:1984:RQA}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356012.356020",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 21:11:37 1994",
note = "See
\cite{Lawson:1979:ABL,Dodson:1983:CRB,Hanson:1987:ATA,Louter-Nool:1988:ATA}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356012.356021",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:08 1994",
note = "See \cite{Buckley:1981:AQS}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356022.356023",
ISSN = "0098-3500",
MRclass = "65H10",
MRnumber = "85f:65051",
bibdate = "Sun Sep 04 19:32:57 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356022.356024",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 19:32:57 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356022.356025",
ISSN = "0098-3500",
MRclass = "65K10",
MRnumber = "84m:65077",
bibdate = "Sun Sep 04 19:32:57 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356022.356026",
ISSN = "0098-3500",
MRclass = "65L05 (65L07)",
MRnumber = "85i:65086",
bibdate = "Sat Aug 13 17:16:02 MDT 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356022.356027",
ISSN = "0098-3500",
}
@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 = "http://doi.acm.org/10.1145/356022.356028",
ISSN = "0098-3500",
}
@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 = "http://doi.acm.org/10.1145/356022.356029",
ISSN = "0098-3500",
}
@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 = "http://doi.acm.org/10.1145/356022.356030",
ISSN = "0098-3500",
}
@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 = "http://doi.acm.org/10.1145/356022.356031",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 19:32:57 1994",
note = "See \cite{Dennis:1981:ANE}.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356022.356032",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 21:11:39 1994",
note = "See
\cite{Lawson:1979:ABL,Dodson:1982:RBL,Hanson:1987:ATA,Louter-Nool:1988:ATA}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/357456.357457",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 19:43:20 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/357456.357458",
ISSN = "0098-3500",
MRclass = "90C10",
MRnumber = "85a:90163",
bibdate = "Sun Sep 04 19:43:20 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/357456.357459",
ISSN = "0098-3500",
MRclass = "90C33 (65F10)",
MRnumber = "84j:90088",
bibdate = "Sun Sep 04 19:43:20 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/357456.357460",
ISSN = "0098-3500",
MRclass = "65H10",
MRnumber = "85f:65052",
bibdate = "Sun Sep 04 19:43:20 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/357456.357461",
ISSN = "0098-3500",
bibdate = "Mon Aug 29 12:18:04 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/357456.357462",
ISSN = "0098-3500",
bibdate = "Tue Sep 6 22:16:30 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/357456.357463",
ISSN = "0098-3500",
}
@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 = "http://doi.acm.org/10.1145/357456.357464",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 16:10:33 1994",
acknowledgement = ack-nhfb,
country = "USA",
date = "13/05/93",
descriptors = "RVG;",
enum = "6932",
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 = "http://doi.acm.org/10.1145/357456.357465",
ISSN = "0098-3500",
bibdate = "Mon Sep 5 23:07:55 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/357456.357466",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 19:43:20 1994",
note = "See \cite{Pape:1980:ASP}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/357456.357467",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 19:43:20 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356044.356045",
ISSN = "0098-3500",
MRclass = "65W05 (65N30)",
MRnumber = "86g:65244",
bibdate = "Sun Sep 04 19:50:51 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356044.356046",
ISSN = "0098-3500",
MRclass = "65L05 (65-04)",
MRnumber = "86g:65136",
bibdate = "Sun Sep 04 19:51:59 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356044.356047",
ISSN = "0098-3500",
MRclass = "65F50 (65W05)",
MRnumber = "86k:65030",
bibdate = "Fri Aug 26 23:38:14 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356044.356048",
ISSN = "0098-3500",
MRclass = "68P10",
MRnumber = "86m:68023",
bibdate = "Sun Sep 04 19:50:51 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356044.356049",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 19:50:51 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356044.356050",
ISSN = "0098-3500",
}
@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 = "http://doi.acm.org/10.1145/356044.356051",
ISSN = "0098-3500",
MRclass = "65B10",
MRnumber = "791 970",
bibdate = "Sun Sep 04 19:50:51 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356044.356052",
ISSN = "0098-3500",
MRclass = "65B10",
MRnumber = "791 971",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356044.356053",
ISSN = "0098-3500",
MRclass = "65F05 (65-04)",
MRnumber = "791 972",
bibdate = "Sun Sep 04 19:50:51 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356044.356054",
ISSN = "0098-3500",
MRclass = "65F05 (65-04)",
MRnumber = "791 973",
bibdate = "Sun Sep 4 22:04:24 1994",
note = "See also \cite{Diaz:1988:RCA}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356044.356055",
ISSN = "0098-3500",
MRclass = "65-04 (65F10 65K10)",
MRnumber = "86g:65007",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356056.356057",
ISSN = "0098-3500",
}
@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 = "http://doi.acm.org/10.1145/356056.356058",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 19:56:32 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356056.356059",
ISSN = "0098-3500",
}
@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 = "http://doi.acm.org/10.1145/356056.356060",
ISSN = "0098-3500",
}
@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 = "http://doi.acm.org/10.1145/356056.356061",
ISSN = "0098-3500",
MRclass = "65D07 (65D10)",
MRnumber = "87c:65009",
bibdate = "Sun Sep 04 19:58:16 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356056.356062",
ISSN = "0098-3500",
MRclass = "65K05 (90C10)",
MRnumber = "791 976",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356056.356063",
ISSN = "0098-3500",
MRclass = "65D20 (33A70)",
MRnumber = "87a:65043",
bibdate = "Sun Sep 04 19:56:32 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356056.356064",
ISSN = "0098-3500",
MRclass = "65D20 (33A70 65-04)",
MRnumber = "87a:65044",
bibdate = "Sun Sep 4 20:00:39 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356056.356065",
ISSN = "0098-3500",
MRclass = "65D20",
MRnumber = "791 979",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
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",
genterm = "ALGORITHMS",
guideno = "02212",
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 = "http://doi.acm.org/10.1145/356056.356066",
ISSN = "0098-3500",
MRclass = "65K10 (65-04 90C30)",
MRnumber = "86f:65111",
bibdate = "Fri Aug 26 23:38:14 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356056.356067",
ISSN = "0098-3500",
bibdate = "Tue Aug 30 00:28:08 1994",
note = "See \cite{Amos:1980:AEI}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356068.356069",
ISSN = "0098-3500",
MRclass = "65D30 (65V05)",
MRnumber = "86e:65035a",
bibdate = "Fri Mar 28 11:00:07 2003",
acknowledgement = ack-nhfb,
}
@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",
ISSN = "0098-3500",
MRclass = "65D30 (65V05)",
MRnumber = "86e:65035b",
bibdate = "Sat Oct 24 15:51:01 1998",
URL = "http://www.acm.org/pubs/citations/journals/toms/1984-10-1/p17-doncker/",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356068.356071",
ISSN = "0098-3500",
MRclass = "65L05",
MRnumber = "86h:65097",
bibdate = "Sun Sep 04 20:02:26 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356068.356072",
ISSN = "0098-3500",
MRclass = "65L20 (65-04)",
MRnumber = "86j:65103",
bibdate = "Sun Sep 04 20:02:26 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/356068.356073",
ISSN = "0098-3500",
MRclass = "65L05 (65-04)",
MRnumber = "86f:65117",
bibdate = "Sun Sep 04 20:02:26 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356068.356074",
ISSN = "0098-3500",
MRclass = "65W05 (65F15)",
MRnumber = "86f:65223",
bibdate = "Fri Sep 30 01:11:03 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356068.356075",
ISSN = "0098-3500",
MRclass = "65K10 (90C20)",
MRnumber = "86e:65088",
bibdate = "Sun Sep 04 20:02:26 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/356068.356076",
ISSN = "0098-3500",
MRclass = "65G05 (65G10)",
MRnumber = "86e:65063",
bibdate = "Sun Sep 04 20:02:26 1994",
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,
}
@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 = "http://doi.acm.org/10.1145/356068.356077",
ISSN = "0098-3500",
}
@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 = "http://doi.acm.org/10.1145/399.400",
ISSN = "0098-3500",
MRclass = "65D32 (65V05)",
MRnumber = "87a:65053",
bibdate = "Sun Sep 04 20:09:42 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/399.448",
ISSN = "0098-3500",
MRclass = "65D32",
MRnumber = "87a:65054a",
bibdate = "Sun Sep 04 20:09:42 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/399.449",
ISSN = "0098-3500",
MRclass = "65D32 (65-04)",
MRnumber = "87a:65054b",
bibdate = "Sun Sep 4 20:11:27 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/399.418",
ISSN = "0098-3500",
MRclass = "65D25 (65-04 65H05)",
MRnumber = "86j:65025",
bibdate = "Sun Sep 04 20:09:42 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/399.401",
ISSN = "0098-3500",
MRclass = "65W05 (65F05 68Q25)",
MRnumber = "86k:65138",
bibdate = "Sat Nov 19 13:08:12 1994",
note = "See also \cite{Lawrie:1985:CCC}.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/399.450",
ISSN = "0098-3500",
MRclass = "65F05 (65F50 65L10)",
MRnumber = "86g:65063",
bibdate = "Sun Sep 04 20:09:42 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/399.319410",
ISSN = "0098-3500",
MRclass = "65D10 (65K05)",
MRnumber = "791 987",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/399.319411",
ISSN = "0098-3500",
bibdate = "Sat Oct 24 15:51:05 1998",
note = "See \cite{VanDooren:1982:ADE}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/399.319412",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 20:09:42 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/1271.319413",
ISSN = "0098-3500",
MRclass = "65F99",
MRnumber = "791 988",
bibdate = "Fri Aug 26 23:38:14 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/1271.1273",
ISSN = "0098-3500",
MRclass = "65F05 (65F10 65V05)",
MRnumber = "86f:65061",
bibdate = "Sun Sep 04 20:18:56 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/1271.1274",
ISSN = "0098-3500",
MRclass = "65N50 (65F50 65N30)",
MRnumber = "86f:65207",
bibdate = "Sat Aug 27 19:10:37 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/1271.319414",
ISSN = "0098-3500",
MRclass = "65U05 (62-04 62G05)",
MRnumber = "791 991",
bibdate = "Sun Sep 4 20:21:15 1994",
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,
}
@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 = "http://doi.acm.org/10.1145/1271.1272",
ISSN = "0098-3500",
MRclass = "65C10 (65U05)",
MRnumber = "86f:65027",
bibdate = "Wed Aug 24 22:43:47 1994",
acknowledgement = ack-nhfb,
country = "USA",
date = "13/05/93",
descriptors = "RVG;",
enum = "7548",
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 = "http://doi.acm.org/10.1145/1271.1276",
ISSN = "0098-3500",
MRclass = "65K10 (65F30 90C30)",
MRnumber = "86h:65091",
bibdate = "Sun Sep 04 20:18:56 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/1271.1631",
ISSN = "0098-3500",
MRclass = "65H10 (65L05)",
MRnumber = "87a:65085",
bibdate = "Sun Sep 04 20:18:56 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/1271.1632",
ISSN = "0098-3500",
MRclass = "65H10 (65-04 65L05)",
MRnumber = "87a:65086",
bibdate = "Sun Sep 04 20:18:56 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/1271.2738",
ISSN = "0098-3500",
MRclass = "65V05",
MRnumber = "86g:65241",
bibdate = "Sun Sep 04 20:18:56 1994",
note = "See also \cite{BrinchHansen:1994:MLD}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/1271.1610",
ISSN = "0098-3500",
MRclass = "65F50 (65H10)",
MRnumber = "86f:65086a",
bibdate = "Mon Sep 05 09:48:14 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/1271.319415",
ISSN = "0098-3500",
MRclass = "65F50 (65-04 65H10)",
MRnumber = "86f:65086b",
bibdate = "Sun Sep 04 20:28:26 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/1271.319416",
ISSN = "0098-3500",
MRclass = "65R10",
MRnumber = "791 999",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/1271.319417",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 20:18:56 1994",
note = "See \cite{Veillon:1977:RNI,Koppelaar:1976:RNI}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/2701.356100",
ISSN = "0098-3500",
bibdate = "Fri Mar 28 11:00:44 2003",
note = "See also \cite{Hamilton:1985:RRK,Hopkins:1990:RRK}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/2701.356101",
ISSN = "0098-3500",
MRclass = "65D20",
MRnumber = "792 000",
bibdate = "Sun Sep 04 20:32:29 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/2701.2705",
ISSN = "0098-3500",
MRclass = "65H10",
MRnumber = "86g:65102",
bibdate = "Sun Sep 04 20:32:29 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/2701.356103",
ISSN = "0098-3500",
MRclass = "65M20",
MRnumber = "792 002",
bibdate = "Sat Oct 24 15:50:58 1998",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/2701.2702",
ISSN = "0098-3500",
MRclass = "65G10",
MRnumber = "86g:65088",
bibdate = "Sun Sep 04 20:32:29 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/2701.356105",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:17:12 1999",
note = "See remark \cite{Levin:1998:RAS}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/2701.2703",
ISSN = "0098-3500",
MRclass = "65D05 (65-04)",
MRnumber = "86k:65013a",
bibdate = "Sat Aug 13 17:26:53 MDT 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/2701.356107",
ISSN = "0098-3500",
MRclass = "65D05 (65-04)",
MRnumber = "86k:65013b",
bibdate = "Fri Mar 28 11:02:10 2003",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/2701.356108",
ISSN = "0098-3500",
MRclass = "65D05 (65V05)",
MRnumber = "792 006",
bibdate = "Fri Mar 28 11:02:31 2003",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/2701.356109",
ISSN = "0098-3500",
MRclass = "65N50",
MRnumber = "792 007",
bibdate = "Sun Sep 04 20:32:29 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/2701.356110",
ISSN = "0098-3500",
MRclass = "65N50",
MRnumber = "792 008",
bibdate = "Fri Mar 28 11:03:12 2003",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/2701.2770",
ISSN = "0098-3500",
MRclass = "65D05",
MRnumber = "792 009",
bibdate = "Sun Sep 04 20:32:29 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/2701.2772",
ISSN = "0098-3500",
MRclass = "65D05 (65N50)",
MRnumber = "792 010",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/2701.356113",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 20:32:29 1994",
note = "See \cite{Garbow:1978:AQA,Garbow:1982:RQA}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/2701.356114",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 20:32:29 1994",
note = "See \cite{Ivie:1978:SMP}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/3147.3163",
ISSN = "0098-3500",
MRclass = "65K05 (90C05)",
MRnumber = "86h:65087",
bibdate = "Sun Sep 04 20:43:27 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-1/p1-tomlin/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/3147.3164",
ISSN = "0098-3500",
MRclass = "65K10 (90C30)",
MRnumber = "86h:65089",
bibdate = "Sun Sep 04 20:43:27 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-1/p12-davidon/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/3147.3162",
ISSN = "0098-3500",
MRclass = "65H05 (65-04)",
MRnumber = "86g:65092",
bibdate = "Sun Sep 04 20:43:27 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-1/p20-cuyt/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/3147.3165",
ISSN = "0098-3500",
MRclass = "65C10 (62-04)",
MRnumber = "87b:65007",
bibdate = "Sun Sep 04 20:43:27 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-1/p37-vitter/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/3147.214314",
ISSN = "0098-3500",
MRclass = "65R20",
MRnumber = "793 057",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-1/p58-bownds/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/3147.214316",
ISSN = "0098-3500",
MRclass = "68Q40 (13-04)",
MRnumber = "793 058",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-1/p66-winkler/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/214392.214393",
ISSN = "0098-3500",
MRclass = "65N30 (65R20)",
MRnumber = "86m:65137",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p85-atkinson/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/214392.214394",
ISSN = "0098-3500",
MRclass = "65K10 (90C30)",
MRnumber = "86h:65090",
bibdate = "Sun Sep 04 20:43:27 1994",
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,
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 = "http://doi.acm.org/10.1145/214392.214395;
http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p103-buckley/",
ISSN = "0098-3500",
note = "See remark \cite{Buckley:1989:RA}.",
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 = "http://doi.acm.org/10.1145/214392.214396",
ISSN = "0098-3500",
MRclass = "65H05 (65D05)",
MRnumber = "797 616",
note = "See \cite{Norton:1986:RFB}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p120-norton/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/214392.214397",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 01:12:05 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p135-martello/",
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 = "http://doi.acm.org/10.1145/214392.214398",
ISSN = "0098-3500",
MRclass = "65F50 (65F05)",
MRnumber = "86m:65040",
bibdate = "Sun Sep 04 20:43:27 1994",
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,
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 = "http://doi.acm.org/10.1145/214392.214401",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 20:43:27 1994",
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,
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 = "http://doi.acm.org/10.1145/214392.214402",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 20:43:27 1994",
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,
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 = "http://doi.acm.org/10.1145/214392.214403",
ISSN = "0098-3500",
MRclass = "65U05 (62-04)",
MRnumber = "86j:65187",
bibdate = "Fri Sep 30 01:12:58 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p170-ward/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/214392.214404",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 20:43:27 1994",
note = "See \cite{Ellenberger:1960:NSP}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p183-novotny/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/214392.214405;
http://www.acm.org/pubs/citations/journals/toms/1985-11-2/p185-hill/",
ISSN = "0098-3500",
bibdate = "Thu Apr 29 15:20:54 1999",
note = "See
\cite{Hill:1967:CSI,elLozy:1976:RAC,elLozy:1979:RAS}.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/214392.214407",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 20:43:27 1994",
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,
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 = "http://doi.acm.org/10.1145/214392.356133",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 20:43:27 1994",
note = "See \cite{Lawrie:1984:CCC}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/214392.356134",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 20:43:27 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/214408.214410",
ISSN = "0098-3500",
MRclass = "65D10",
MRnumber = "87f:65016",
bibdate = "Sun Sep 04 20:57:44 1994",
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,
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 = "http://doi.acm.org/10.1145/214408.214412",
ISSN = "0098-3500",
MRclass = "65D10",
MRnumber = "87f:65017",
bibdate = "Sun Sep 4 20:58:40 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p218-bartels/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/214408.214413",
ISSN = "0098-3500",
MRclass = "65D15 (65G05)",
MRnumber = "87a:65041",
bibdate = "Mon Dec 08 12:36:56 1997",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p229-hull/",
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,
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 = "http://doi.acm.org/10.1145/214408.214414",
ISSN = "0098-3500",
bibdate = "Fri Aug 26 23:38:15 1994",
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,
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 = "http://doi.acm.org/10.1145/214408.214415",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 20:59:33 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p242-streit/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/214408.214416",
ISSN = "0098-3500",
MRclass = "65H05",
MRnumber = "87d:65057",
bibdate = "Sat Nov 19 13:08:37 1994",
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,
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 = "http://doi.acm.org/10.1145/214408.214417",
ISSN = "0098-3500",
MRclass = "65L05 (65-04)",
MRnumber = "87d:65078",
bibdate = "Sun Sep 04 20:57:44 1994",
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,
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 = "http://doi.acm.org/10.1145/214408.214418",
ISSN = "0098-3500",
MRclass = "65W05 (65F05)",
MRnumber = "86m:65170",
bibdate = "Sun Sep 04 21:01:13 1994",
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,
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 = "http://doi.acm.org/10.1145/214408.214424",
ISSN = "0098-3500",
MRclass = "65L05",
MRnumber = "87c:65082",
bibdate = "Sun Sep 04 20:57:44 1994",
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,
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 = "http://doi.acm.org/10.1145/214408.214425",
ISSN = "0098-3500",
MRclass = "15A09 (65F35)",
MRnumber = "87f:15002",
bibdate = "Sun Sep 04 20:57:44 1994",
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,
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 = "http://doi.acm.org/10.1145/214408.214426",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 20:57:44 1994",
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,
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 = "http://doi.acm.org/10.1145/6187.6188",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 21:06:30 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-4/p313-boisvert/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/6187.6189",
ISSN = "0098-3500",
MRclass = "12H05 (68Q40)",
MRnumber = "87d:12010",
bibdate = "Sun Sep 04 21:06:32 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-4/p356-davenport/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/6187.6190",
ISSN = "0098-3500",
MRclass = "65F50 (65K10)",
MRnumber = "828 562",
bibdate = "Sat Aug 13 17:26:53 MDT 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-4/p363-coleman/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/6187.6193",
ISSN = "0098-3500",
MRclass = "378. 65F50 (65-04)",
MRnumber = "828 563",
bibdate = "Sat Aug 27 14:55:36 1994",
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,
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 = "http://doi.acm.org/10.1145/6187.6191",
ISSN = "0098-3500",
MRclass = "65N35 (65-04)",
MRnumber = "87e:65081a",
bibdate = "Sun Sep 04 21:07:32 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-4/p379-houstis/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/6187.6194",
ISSN = "0098-3500",
MRclass = "65N35 (65-04)",
MRnumber = "87e:65081b",
bibdate = "Sat Aug 27 14:56:32 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-4/p413-houstis/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/6187.6195",
ISSN = "0098-3500",
MRclass = "65N35 (65-04)",
MRnumber = "87e:65081c",
bibdate = "Sun Sep 04 21:08:06 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-4/p416-houstis/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/6187.6192",
ISSN = "0098-3500",
MRclass = "65K10 (65-04 90-04 90C30)",
MRnumber = "828 567",
bibdate = "Sat Aug 13 17:26:53 MDT 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-4/p419-schnabel/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/6187.356154",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 20:42:44 1994",
note = "See \cite{Boothroyd:1964:G,Misra:1975:RG}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/5960.5964",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 21:09:54 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-1/p1-shampine/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/5960.214318",
ISSN = "0098-3500",
MRclass = "65D30 (65D32)",
MRnumber = "868 093",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-1/p24-lyness/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/5960.214319",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-1/p26-laub/",
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 = "http://doi.acm.org/10.1145/5960.214321",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 21:11:10 1994",
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",
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 = "http://doi.acm.org/10.1145/5960.5963",
ISSN = "0098-3500",
MRclass = "65F30",
MRnumber = "87m:65068",
bibdate = "Sun Sep 04 21:11:23 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-1/p37-law/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/5960.5961",
ISSN = "0098-3500",
MRclass = "65F20",
MRnumber = "868 095",
bibdate = "Sat Aug 13 17:26:53 MDT 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-1/p51-springer/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/5960.5962",
ISSN = "0098-3500",
MRclass = "65Dxx",
MRnumber = "868 096",
bibdate = "Sat Aug 13 17:26:53 MDT 1994",
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,
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 = "http://doi.acm.org/10.1145/5960.356162",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 20:57:44 1994",
note = "See \cite{Laurie:1982:ACA}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/5960.356163",
ISSN = "0098-3500",
MRclass = "72. 65H05 (65D05)",
MRnumber = "868 097",
bibdate = "Mon Sep 05 20:41:38 1994",
note = "See \cite{Norton:1985:AFB}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/6497.6498",
ISSN = "0098-3500",
MRclass = "65D15 (65D20)",
MRnumber = "863 786",
bibdate = "Sun Sep 04 21:17:51 1994",
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,
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 = "http://doi.acm.org/10.1145/6497.6501",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 21:18:01 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-2/p92-dolk/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/6497.6499",
ISSN = "0098-3500",
MRclass = "65F05 (65F50)",
MRnumber = "863 787",
bibdate = "Sun Sep 04 21:18:32 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-2/p127-liu/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/6497.356167",
ISSN = "0098-3500",
bibdate = "Sun Sep 4 21:19:01 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/6497.214322",
ISSN = "0098-3500",
MRclass = "65D10 (65D07)",
MRnumber = "863 788",
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,
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 = "http://doi.acm.org/10.1145/6497.214326",
ISSN = "0098-3500",
MRclass = "65U05",
MRnumber = "863 789",
bibdate = "Tue Mar 9 10:27:54 1999",
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,
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 = "http://doi.acm.org/10.1145/6497.6500",
ISSN = "0098-3500",
bibdate = "Sat Aug 13 17:26:53 MDT 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-2/p162-mckeown/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/6497.356171",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 21:20:12 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/7921.7922",
ISSN = "0098-3500",
MRclass = "65L05",
MRnumber = "88e:65087",
bibdate = "Sun Sep 04 21:21:39 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p183-hall/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/7921.7923",
ISSN = "0098-3500",
MRclass = "65D07 (65L05)",
MRnumber = "889 066",
bibdate = "Sun Sep 04 21:21:52 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p193-enright/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/7921.7924",
ISSN = "0098-3500",
MRclass = "53A04 (58E10 73K05)",
MRnumber = "89c:53002",
bibdate = "Sun Sep 04 21:22:21 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p219-kallay/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/7921.7925",
ISSN = "0098-3500",
bibdate = "Sat Aug 13 17:26:53 MDT 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p223-skeel/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/7921.15667",
ISSN = "0098-3500",
bibdate = "Sat Aug 13 17:26:53 MDT 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p225-sagie/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/7921.11325",
ISSN = "0098-3500",
MRclass = "65F50",
MRnumber = "889 068",
bibdate = "Sun Sep 04 21:23:42 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p249-liu/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/7921.214331",
ISSN = "0098-3500",
MRclass = "65D20",
MRnumber = "889 069",
bibdate = "Tue Mar 09 10:26:27 1999",
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 $v>=0$ and complex $z$ in $-\pi< \mbox{arg} z <=
\pi$. Eight callable subroutines and their
double-precision counterparts are provided. Exponential
scaling and sequence generation are auxiliary
options.",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/7921.214334",
ISSN = "0098-3500",
MRclass = "65F20",
MRnumber = "889 070",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p274-nash/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/7921.214335",
ISSN = "0098-3500",
MRclass = "65F30",
MRnumber = "889 071",
bibdate = "Sun Sep 04 21:24:35 1994",
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,
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 = "http://doi.acm.org/10.1145/7921.356181",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 01:16:18 1994",
note = "See \cite{Ascher:1981:ACC}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/7921.356182",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 01:17:25 1994",
note = "See \cite{Stewart:1985:NCD}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/22721.8932",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 01:39:24 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-3/p274-milovanovic/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/22721.22959",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 21:29:30 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-4/p307-nazareth/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/22721.24035",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 21:30:12 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-4/p324-cowell/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/22721.22722",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 21:30:24 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-4/p354-ostermann/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/22721.356187",
ISSN = "0098-3500",
bibdate = "Fri Mar 28 10:43:26 2003",
}
@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 = "http://doi.acm.org/10.1145/22721.23109",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 21:31:03 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1986-12-4/p377-didonato/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/23002.27645",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 13:08:36 1994",
note = "See also \cite{Enright:1989:CFP}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-1/p1-enright/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/23002.214338",
ISSN = "0098-3500",
bibdate = "Sun Sep 4 21:32:17 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-1/p28-enright/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/23002.27646",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 21:32:38 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-1/p35-alagar/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/23002.23003",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 21:32:58 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-1/p58-vitter/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/23002.23004",
ISSN = "0098-3500",
MRclass = "65D07 (65D05 65D10)",
MRnumber = "88h:65023",
bibdate = "Sat Nov 19 13:08:26 1994",
note = "See also \cite{Foley:1988:CIP}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-1/p68-foley/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/23002.214339",
ISSN = "0098-3500",
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.",
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 = "http://doi.acm.org/10.1145/328512.328515",
ISSN = "0098-3500",
MRclass = "65N99 (65V05)",
MRnumber = "88g:65127",
bibdate = "Sun Sep 04 21:35:01 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/328512.328516",
ISSN = "0098-3500",
MRclass = "49D40 (90C30 93A15)",
MRnumber = "88h:49057",
bibdate = "Sun Sep 04 21:35:01 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/328512.328520",
ISSN = "0098-3500",
MRclass = "65D15",
MRnumber = "898 489",
bibdate = "Sun Sep 4 21:36:32 1994",
note = "See also \cite{Johnson:1987:CES}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/328512.328521",
ISSN = "0098-3500",
MRclass = "65H10",
MRnumber = "88e:65063",
bibdate = "Sat Nov 19 13:08:20 1994",
note = "See also \cite{Morgan:1987:CBS}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/328512.328522",
ISSN = "0098-3500",
MRclass = "65C10",
MRnumber = "88d:65013",
bibdate = "Sat Nov 19 13:08:24 1994",
note = "See also \cite{Johnson:1987:CES,Monahan:1988:CAG}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/328512.328525",
ISSN = "0098-3500",
MRclass = "65F05 (65F50)",
MRnumber = "88f:65046",
bibdate = "Sun Sep 04 21:35:01 1994",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/328512.328526",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 21:35:01 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/29380.29862",
ISSN = "0098-3500",
MRclass = "65H10",
MRnumber = "88m:65081",
bibdate = "Sat Nov 19 13:08:33 1994",
note = "See also \cite{Kearfott:1988:CTG}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-3/p197-kearfott/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/29380.29863",
ISSN = "0098-3500",
MRclass = "65N05",
MRnumber = "88m:65149",
bibdate = "Sun Sep 04 21:39:43 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-3/p221-boisvert/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/29380.214342",
ISSN = "0098-3500",
MRclass = "65V05",
MRnumber = "918 578",
bibdate = "Sun Sep 4 21:40:33 1994",
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,
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 = "http://doi.acm.org/10.1145/29380.31331",
ISSN = "0098-3500",
MRclass = "65F50 (65F05)",
MRnumber = "88j:65089",
bibdate = "Sun Sep 04 21:40:49 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-3/p250-liu/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/29380.29864",
ISSN = "0098-3500",
MRclass = "90C30 (65K05)",
MRnumber = "88m:90121",
bibdate = "Sat Nov 19 13:08:34 1994",
note = "See also \cite{Corana:1989:CMF}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-3/p262-corana/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/29380.214343",
ISSN = "0098-3500",
MRclass = "65V05 (58C30 65H10 90C30)",
MRnumber = "918 581",
bibdate = "Sun Sep 4 21:41:46 1994",
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,
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 = "http://doi.acm.org/10.1145/29380.214346",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 23:07:52 1994",
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,
}
@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 = "http://doi.acm.org/10.1145/29380.214348",
ISSN = "0098-3500",
bibdate = "Sun Sep 4 21:43:08 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-3/p318-didonato/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/29380.356210",
ISSN = "0098-3500",
MRclass = "320. 65D15",
MRnumber = "918 582",
note = "See
\cite{Johnson:1987:AES,Monahan:1987:AGC,Boisvert:1987:AAH}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/35078.35079",
ISSN = "0098-3500",
MRclass = "65F05 (65W05)",
MRnumber = "88m:65048",
bibdate = "Sun Sep 04 21:45:57 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-4/p323-bar-on/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/35078.35080",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 13:08:16 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-4/p333-schonauer/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/35078.42181",
ISSN = "0098-3500",
MRclass = "90C35 (90C30)",
MRnumber = "89b:90218",
bibdate = "Sun Sep 04 21:47:23 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-4/p350-ahlfeld/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/35078.214349",
ISSN = "0098-3500",
MRclass = "65C10",
MRnumber = "89h:65018",
bibdate = "Sun Sep 04 21:45:57 1994",
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,
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 = "http://doi.acm.org/10.1145/35078.42322",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 21:48:37 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1987-13-4/p382-schneider/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/35078.214351",
ISSN = "0098-3500",
bibdate = "Sun Sep 4 21:49:00 1994",
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,
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 = "http://doi.acm.org/10.1145/35078.356217",
ISSN = "0098-3500",
MRclass = "65H10",
MRnumber = "89a:65088, 88e:65063",
bibdate = "Sun Sep 04 21:45:57 1994",
note = "See \cite{Morgan:1987:BBS}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/42288.42291",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 13:08:30 1994",
note = "See also \cite{Dongarra:1988:CES}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-1/p1-dongarra/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/42288.42292",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 21:52:44 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-1/p18-dongarra/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/42288.42289",
ISSN = "0098-3500",
MRclass = "65S05",
MRnumber = "89c:65140",
bibdate = "Sun Sep 04 21:53:18 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-1/p33-sewell/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/42288.42290",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 15:08:25 1994",
note = "See also \cite{Sewell:1990:RSP}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-1/p42-sewell/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/42288.46156",
ISSN = "0098-3500",
MRclass = "65L05 (65V05)",
MRnumber = "89b:65176",
bibdate = "Sun Sep 04 21:54:22 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-1/p45-leis/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/42288.214371",
ISSN = "0098-3500",
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.",
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 = "http://doi.acm.org/10.1145/42288.42341",
ISSN = "0098-3500",
MRclass = "65L05",
MRnumber = "89b:65167",
bibdate = "Sat Aug 13 17:26:53 MDT 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-1/p68-butcher/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/42288.42342",
ISSN = "0098-3500",
MRclass = "65U05",
MRnumber = "944 765",
bibdate = "Sat Aug 13 17:26:53 MDT 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-1/p76-ammann/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/42288.214372",
ISSN = "0098-3500",
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.",
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 = "http://doi.acm.org/10.1145/42288.42343",
ISSN = "0098-3500",
MRclass = "65G99 (65V05)",
MRnumber = "89b:65117",
bibdate = "Sat Nov 19 13:08:22 1994",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
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 n = 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",
genterm = "ALGORITHMS; PERFORMANCE",
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 = "http://doi.acm.org/10.1145/42288.356228",
ISSN = "0098-3500",
MRclass = "111. 65C10",
MRnumber = "89d:65006, 88d:65013",
bibdate = "Fri Mar 28 10:45:16 2003",
note = "See \cite{Monahan:1987:AGC}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/45054.214373",
ISSN = "0098-3500",
MRclass = "65F50 (65D30)",
MRnumber = "90b:65084",
bibdate = "Mon Dec 08 12:15:02 1997",
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,
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 = "http://doi.acm.org/10.1145/45054.45055",
ISSN = "0098-3500",
MRclass = "65D05 (41A05)",
MRnumber = "89d:65009",
bibdate = "Sun Sep 04 22:00:07 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-2/p139-renka/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/45054.356231",
ISSN = "0098-3500",
bibdate = "Fri Mar 28 10:45:50 2003",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/45054.214374",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-2/p151-renka/",
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 = "http://doi.acm.org/10.1145/45054.45056",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:00:57 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-2/p153-wan/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/45054.45057",
ISSN = "0098-3500",
MRclass = "65R10 (65V05)",
MRnumber = "89d:65107",
bibdate = "Sun Sep 04 22:01:52 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-2/p163-garbow/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/45054.214375",
ISSN = "0098-3500",
bibdate = "Sun Sep 4 23:29:03 1994",
note = "See also \cite{Garbow:1990:RFS}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-2/p171-garbow/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/45054.45058",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 23:08:05 1994",
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,
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 = "http://doi.acm.org/10.1145/45054.356237",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 21:59:18 1994",
note = "See \cite{Diaz:1983:ACA}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/44128.44129",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:27:23 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-3/p201-hull/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/44128.214376",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:27:49 1994",
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,
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 = "http://doi.acm.org/10.1145/44128.44130",
ISSN = "0098-3500",
MRclass = "65-04 (65F15)",
MRnumber = "1 062 476",
bibdate = "Sun Sep 04 22:29:30 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-3/p241-grimes/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/44128.214379",
ISSN = "0098-3500",
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.",
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 = "http://doi.acm.org/10.1145/44128.214382",
ISSN = "0098-3500",
MRclass = "65-04 (65U05)",
MRnumber = "1 062 477",
bibdate = "Sun Sep 04 22:30:10 1994",
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",
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 = "http://doi.acm.org/10.1145/44128.44131",
ISSN = "0098-3500",
MRclass = "65-04 (65F50)",
MRnumber = "1 062 478",
bibdate = "Sat Aug 13 17:26:53 MDT 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-3/p267-duff/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/44128.356244",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:27:49 1994",
note = "See \cite{Morris:1969:TP}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/44128.356245",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:27:49 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/44128.356246",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 13:26:45 1994",
note = "See \cite{Foley:1987:IIP}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/50063.51907",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:33:58 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-4/p303-cody/",
acknowledgement = ack-nj # " and " # ack-nhfb,
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 = "http://doi.acm.org/10.1145/50063.214384",
ISSN = "0098-3500",
MRclass = "65-04 (65H10 90C30)",
MRnumber = "91g:65006",
bibdate = "Sun Sep 04 22:34:19 1994",
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,
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 = "http://doi.acm.org/10.1145/50063.51906",
ISSN = "0098-3500",
MRclass = "65-04 (90C30)",
MRnumber = "91g:65007",
bibdate = "Sat Aug 27 15:08:54 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-4/p330-vrahatis/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/50063.214385;
http://www.acm.org/pubs/citations/journals/toms/1988-14-4/p337-garavelli/",
ISSN = "0098-3500",
MRclass = "05-04 (68Q40)",
MRnumber = "91f:05002",
bibdate = "Sun Sep 04 22:34:19 1994",
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,
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 = "http://doi.acm.org/10.1145/50063.50064",
ISSN = "0098-3500",
MRclass = "65-04 (65K05 90C30)",
MRnumber = "1 062 482",
bibdate = "Sun Sep 04 22:36:23 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-4/p345-aluffi-pentini/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/50063.51908",
ISSN = "0098-3500",
MRclass = "65-04 (90C30)",
MRnumber = "1 062 483",
bibdate = "Sat Aug 13 17:26:53 MDT 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-4/p366-aluffi-pentini/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/50063.214386",
ISSN = "0098-3500",
MRclass = "65-04 (65F35)",
MRnumber = "1 062 484",
bibdate = "Sat Aug 27 15:05:32 1994",
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,
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 = "http://doi.acm.org/10.1145/50063.214387",
ISSN = "0098-3500",
bibdate = "Sun Sep 4 22:37:31 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1988-14-4/p397-kachitvichyanukul/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/50063.356256",
ISSN = "0098-3500",
bibdate = "Fri Mar 28 10:48:38 2003",
note = "See \cite{Dongarra:1988:ESF}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/50063.356257",
ISSN = "0098-3500",
MRclass = "399 (1989). 65H10",
MRnumber = "1 062 485, 88m:65081",
bibdate = "Sat Nov 19 13:04:08 1994",
note = "See \cite{Kearfott:1987:STG}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/50063.356247",
ISSN = "0098-3500",
MRclass = "00A15",
MRnumber = "1 062 486",
bibdate = "Fri Mar 28 10:56:10 2003",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/62038.62043",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:42:25 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-1/p1-duff/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/62038.62042",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:42:48 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-1/p15-cash/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/62038.214388",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:44:52 1994",
note = "See also \cite{Higham:1991:RBF}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-1/p29-cash/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/62038.69650",
ISSN = "0098-3500",
bibdate = "Sat Aug 13 17:26:53 MDT 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-1/p31-brankin/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/62038.62039",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:43:58 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-1/p41-cody/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/62038.62040",
ISSN = "0098-3500",
MRclass = "90C30 (90B20)",
MRnumber = "91c:90104",
bibdate = "Sun Sep 04 22:44:29 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-1/p49-shanno/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/62038.62041",
ISSN = "0098-3500",
bibdate = "Sat Aug 13 17:26:53 MDT 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-1/p64-chang/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/62038.69651",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:46:19 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-1/p79-preusser/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/63522.64124",
ISSN = "0098-3500",
MRclass = "65-04 (58C30 65H10)",
MRnumber = "91g:65003",
bibdate = "Sun Sep 04 22:46:37 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-2/p93-morgan/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/63522.63523",
ISSN = "0098-3500",
MRclass = "65-04 (65D32)",
MRnumber = "91g:65004",
bibdate = "Sun Sep 04 22:46:58 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-2/p123-patterson/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/63522.69649",
ISSN = "0098-3500",
MRclass = "65-04",
MRnumber = "91g:65005",
bibdate = "Sat Aug 13 17:26:53 MDT 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-2/p137-patterson/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/63522.214389",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:47:40 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip",
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,
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 = "http://doi.acm.org/10.1145/63522.214390",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:47:58 1994",
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,
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 = "http://doi.acm.org/10.1145/63522.214391",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 01:18:49 1994",
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,
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 = "http://doi.acm.org/10.1145/63522.356273",
ISSN = "0098-3500",
bibdate = "Fri Mar 28 10:56:42 2003",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/66888.66889",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:50:47 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-3/p179-ribbens/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/66888.66890",
ISSN = "0098-3500",
MRclass = "65-04 (05-04 05C70 65F50)",
MRnumber = "1 062 491",
bibdate = "Sun Sep 04 22:51:08 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-3/p198-liu/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/66888.66891",
ISSN = "0098-3500",
MRclass = "65-04 (65K05)",
MRnumber = "1 062 492",
bibdate = "Sun Sep 04 22:51:35 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-3/p220-mahdavi-amiri/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/66888.69647",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:52:41 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-3/p243-vanbegin/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/66888.77344",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 20:52:30 1994",
note = "See \cite{Hanson:1982:ATA}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-3/p257-dadurkevicius/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/66888.69648",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:53:33 1994",
note = "See \cite{Buckley:1985:ABE}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-3/p262-buckley/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/66888.66892",
ISSN = "0098-3500",
MRclass = "15A21 (15-04 15A36 65-04 65F05)",
MRnumber = "91d:15020",
bibdate = "Sun Sep 04 22:53:52 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-3/p275-domich/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/66888.356281",
ISSN = "0098-3500",
MRclass = "287. 90C30 (65K05)",
MRnumber = "1 062 494, 88m:90121",
bibdate = "Sat Feb 24 09:58:06 1996",
note = "See \cite{Corana:1987:MMF}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/66888.356282",
ISSN = "0098-3500",
bibdate = "Fri Mar 28 10:57:50 2003",
note = "See \cite{Enright:1987:TFP}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/66888.356283",
ISSN = "0098-3500",
MRclass = "287. 65H05",
MRnumber = "1 062 495, 87d:65057",
bibdate = "Fri Mar 28 10:57:46 2003",
note = "See \cite{Le:1985:EDF}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/76909.76910",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:58:46 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-4/p291-ashcraft/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/76909.76911",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:59:06 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-4/p310-liu/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/76909.76912",
ISSN = "0098-3500",
MRclass = "65N99 (65-04)",
MRnumber = "1 062 496",
bibdate = "Sun Sep 04 22:59:21 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-4/p326-mitchell/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/76909.76913",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 15:09:23 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-4/p348-boggs/",
acknowledgement = ack-nhfb,
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",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 01:22:34 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-4/p365-montefusco/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/76909.76915",
ISSN = "0098-3500",
MRclass = "65D30 (65-04)",
MRnumber = "1 062 497",
bibdate = "Sun Sep 04 23:01:02 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-4/p375-corliss/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/76909.76916",
ISSN = "0098-3500",
bibdate = "Sat Aug 13 17:26:53 MDT 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-4/p394-kachitvichyanukul/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/77626.79170",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 19:10:43 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-1/p1-dongarra/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/77626.77627",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 17:29:49 1994",
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,
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 = "http://dx.doi.org/10.1145/77626.77628",
ISSN = "0098-3500",
MRclass = "65-04 (65G05)",
MRnumber = "1 073 407",
bibdate = "Tue Oct 09 09:29:47 2007",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/toms.bib,
ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.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
$\textrm{erf}(x)$, $\textrm{erfc}(x)$, and $\e^{x^2}
\textrm{erfc}(x)$. Accuracy estimates are based on
comparisons using power series expansions and an
expansion in the repeated integrals of
$\textrm{erfc}(x)$. 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 = "B0290F (Interpolation and function approximation);
B0290B (Error analysis in numerical methods); C4130
(Interpolation and function approximation); C4110
(Error analysis in numerical methods)",
keywords = "FORTRAN; Complementary error functions; Computer
programs; 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 = "http://doi.acm.org/10.1145/77626.77629",
ISSN = "0098-3500",
MRclass = "65G05 (65D20)",
MRnumber = "91h:65068a",
bibdate = "Sun Sep 04 23:03:20 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-1/p38-poppe/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/77626.77630",
ISSN = "0098-3500",
MRclass = "47. 65G05 (65-04)",
MRnumber = "91h:65068b",
bibdate = "Sun Sep 04 23:03:20 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-1/p47-poppe/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/77626.77631",
ISSN = "0098-3500",
MRclass = "65M50",
MRnumber = "91f:65154",
bibdate = "Sun Sep 04 23:03:20 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-1/p48-arney/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/77626.77632",
ISSN = "0098-3500",
MRclass = "65-04 (65P05)",
MRnumber = "1 073 411",
bibdate = "Sun Sep 04 23:03:20 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-1/p72-schryer/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/77626.77633",
ISSN = "0098-3500",
MRclass = "65Y10",
MRnumber = "1 073 412",
bibdate = "Fri Aug 26 23:38:17 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-1/p86-hansen/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/77626.77634",
ISSN = "0098-3500",
MRclass = "20G99 (22E15)",
MRnumber = "91j:20115",
bibdate = "Sun Sep 04 23:03:20 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-1/p94-snow/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/77626.356300",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:03:20 1994",
note = "See \cite{Sewell:1988:ASP}.",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/78928.78929",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:09:48 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-2/p113-zenios/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/78928.78930",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:09:48 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-2/p143-meintjes/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/78928.78931",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:09:48 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-2/p152-kearfott/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/78928.78932",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:09:48 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-2/p158-murli/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/78928.78933",
ISSN = "0098-3500",
MRclass = "65D20",
MRnumber = "92k:65025",
bibdate = "Sun Sep 04 23:09:48 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-2/p169-amos/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/78928.78934",
ISSN = "0098-3500",
MRclass = "65D20 (65Y10)",
MRnumber = "92k:65026",
bibdate = "Sun Sep 04 23:09:48 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-2/p178-amos/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/79505.79506",
ISSN = "0098-3500",
MRclass = "65-04 (65G99)",
MRnumber = "1 070 797",
bibdate = "Sun Sep 04 23:14:59 1994",
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,
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 = "http://doi.acm.org/10.1145/79505.79507",
ISSN = "0098-3500",
MRclass = "65L05 (65-04)",
MRnumber = "1 070 798",
bibdate = "Sun Sep 04 23:14:59 1994",
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,
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 = "http://doi.acm.org/10.1145/79505.79508",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:14:59 1994",
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,
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 = "http://doi.acm.org/10.1145/79505.79509",
ISSN = "0098-3500",
MRclass = "65D05 (65-04)",
MRnumber = "1 070 799",
bibdate = "Sun Sep 04 23:14:59 1994",
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,
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 = "http://doi.acm.org/10.1145/79505.79510",
ISSN = "0098-3500",
MRclass = "65-04 (65D05)",
MRnumber = "1 070 800",
bibdate = "Sun Sep 04 23:14:59 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-3/p253-preusser/",
acknowledgement = ack-nhfb,
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 = "http://doi.acm.org/10.1145/79505.79511",
ISSN = "0098-3500",
MRclass = "65-04 (65D99)",
MRnumber = "1 070 801",
bibdate = "Sun Sep 04 23:14:59 1994",
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,
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 = "http://doi.acm.org/10.1145/79505.356313",
ISSN = "0098-3500",
MRclass = "65C10",
MRnumber = "1 070 802",
bibdate = "Sat Aug 27 15:57:03 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/79505.79512",
ISSN = "0098-3500",
MRclass = "65-04",
MRnumber = "1 070 803",
bibdate = "Sat Aug 27 15:57:45 1994",
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,
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 = "http://doi.acm.org/10.1145/79505.356315",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:14:59 1994",
acknowledgement = ack-nhfb,
}
@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 = "http://doi.acm.org/10.1145/98267.98287",
ISSN = "0098-3500",
MRclass = "65F50",
MRnumber = "91k:65075",
bibdate = "Sat Aug 27 15:58:44 1994",
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,
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 = "http://doi.acm.org/10.1145/98267.98289",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:21:57 1994",
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,
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 = "http://doi.acm.org/10.1145/98267.98290",
ISSN = "0098-3500",
MRclass = "65-04 (65F99)",
MRnumber = "1 095 133",
bibdate = "Sun Sep 04 23:21:57 1994",
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,
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 = "http://doi.acm.org/10.1145/98267.98291",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:25:40 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-4/p369-reighel/",
acknowledgement = ack-nhfb,
keywords = "algorithms; Gram--Schmidt algorithm; nla; qrd;
software; updating",
subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Algorithm analysis.",
}
@Article{Tang:1990:TDI,
author = "Ping Tak Peter Tang",
title = "Table-Driven Implementation of the Logarithm Function
in {IEEE} Floating-Point Arithmetic",
journal = j-TOMS,
volume = "16",
number = "4",
pages = "378--400",
month = dec,
year = "1990",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/98267.98294",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:26:09 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-4/p378-tang/",
abstract = "Algorithms and implementation details for the
logarithm functions in both single and double precision
of IEEE 754 arithmetic are presented here. With a table
of moderate size, the implementation need only working-
precision arithmetic and are provably accurate to
within 0.57 ulp.",
acknowledgement = ack-nj,
keywords = "algorithms; design; performance; reliability;
standardization; theory; verification",
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{Hopkins:1990:RRK,
author = "Tim Hopkins and David Morse",
title = "Remark on ``{Algorithm 620}: References and Keywords
for {\em {Collected Algorithms} of the {ACM}}''",
journal = j-TOMS,
volume = "16",
number = "4",
pages = "401--403",
month = dec,
year = "1990",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/98267.98297",
ISSN = "0098-3500",
bibdate = "Sat Feb 24 09:58:26 1996",
note = "See \cite{Rice:1984:ARK,Hamilton:1985:RRK}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-4/p401-hopkins/",
abstract = "The authors report on an enhanced version of the
database originally reported in `Algorithm 620:
references and keywords for collected algorithms from
ACM', J. R. Rice and R. J. Hanson, ACM Trans Math.
Soft. vol. 10, no. 4, p. 359-360 (1984). In this new
version they have included all the information
necessary to generate full bibliographic references.
Extra information includes the author's name (including
any accents), the page range of the original reference
(rather than just the starting page), the month and
year of publication and an abbreviated journal name.
The programming language used to code the algorithm is
also given. Any mathematical notation used within the
algorithm title and accents in the author's name have
been defined using {\TeX}. Following the practice used
with Bib{\TeX}, all letters within the title that need
to remain capitalized in a printed version of the
reference (e.g. Fortran, Bessel) are enclosed in
braces. (3 Refs.)",
acknowledgement = ack-nhfb,
affiliation = "Kent Univ., UK",
classification = "C7250C (Bibliographic systems); C7310 (Mathematics);
C4100 (Numerical analysis)",
keywords = "Abbreviated journal name; Algorithm title; algorithms;
Bibliographic references; BibTeX; Mathematical
notation; TeX",
subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL
ANALYSIS, General. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE, Algorithm analysis.",
thesaurus = "Bibliographic systems; Mathematics computing;
Numerical methods",
}
@Article{Amos:1990:RPP,
author = "D. E. Amos",
title = "Remark on ``{Algorithm 644}: {A} Portable Package for
{Bessel} Functions of a Complex Argument and
Nonnegative Order''",
journal = j-TOMS,
volume = "16",
number = "4",
pages = "404--404",
month = dec,
year = "1990",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/98267.98299",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:26:24 1999",
note = "See
\cite{Amos:1986:APP,Amos:1995:RAP,Kodama:2007:RA}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-4/p404-amos/",
acknowledgement = ack-nhfb,
keywords = "algorithms; theory",
subject = "{\bf F.2.2}: Theory of Computation, ANALYSIS OF
ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
Algorithms and Problems.",
}
@Article{Garbow:1990:RFS,
author = "B. S. Garbow and J. N. Lyness",
title = "Remark on ``{Algorithm 662}: {A FORTRAN} Software
Package for the Numerical Inversion of the {Laplace}
Transform Based on {Weeks}' Method''",
journal = j-TOMS,
volume = "16",
number = "4",
pages = "405--406",
month = dec,
year = "1990",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/98267.98302",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:21:57 1994",
note = "See \cite{Garbow:1988:AFS}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1990-16-4/p405-garbow/",
acknowledgement = ack-nhfb,
keywords = "algorithms; theory",
subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE. {\bf F.2.2}: Theory of Computation, ANALYSIS
OF ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
Algorithms and Problems.",
}
@Article{Addison:1991:ADT,
author = "C. A. Addison and W. H. Enright and P. W. Gaffney and
I. Gladwell and P. M. Hanson",
title = "{Algorithm 687}: {A} Decision Tree for the Numerical
Solution of Initial Value Ordinary Differential
Equations",
journal = j-TOMS,
volume = "17",
number = "1",
pages = "1--10",
month = mar,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/103147.103148",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:33:02 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-1/p1-addison/",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL
ANALYSIS, Ordinary Differential Equations, Initial
value problems.",
}
@Article{Shampine:1991:RSS,
author = "L. F. Shampine and I. Gladwell and R. W. Brankin",
title = "Reliable Solutions of Special Event Location Problems
for {ODEs}",
journal = j-TOMS,
volume = "17",
number = "1",
pages = "11--25",
month = mar,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/103147.103149",
ISSN = "0098-3500",
MRclass = "65L05",
MRnumber = "92e:65093",
bibdate = "Sun Sep 04 23:33:02 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-1/p11-shampine/",
abstract = "Computing the solution of the initial value problem in
ordinary differential equations (ODEs) may be only part
of a larger task. One such task is finding where an
algebraic function of the solution (an event function)
has a root (an event occurs). This is a task which is
difficult both in theory and in software practice. For
certain useful kinds of event functions, it is possible
to avoid two fundamental difficulties. It is described
how to achieve the reliable solutions of such problems
in a way that allows the capability to be grafted onto
popular codes for the initial value problem.",
acknowledgement = ack-nhfb,
keywords = "algorithms; design; theory",
reviewer = "H. Shintani",
subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL
ANALYSIS, Ordinary Differential Equations, Initial
value problems.",
}
@Article{Gal:1991:AEM,
author = "Shmuel Gal and Boris Bachelis",
title = "An Accurate Elementary Mathematical Library for the
{IEEE} Floating Point Standard",
journal = j-TOMS,
volume = "17",
number = "1",
pages = "26--45",
month = mar,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/103147.103151",
ISSN = "0098-3500",
MRclass = "65D20 (65-04 65D15)",
MRnumber = "92a:65069",
bibdate = "Sun Sep 04 23:33:02 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-1/p26-gal/",
abstract = "The algorithms used by the IBM Israel Scientific
Center for the elementary mathematical library using
the IEEE standard for binary floating point arithmetic
are described. The algorithms are based on the
``accurate tables method.'' This methodology achieves
high performance and produces very accurate results. It
overcomes one of the main problems encountered in
elementary mathematical functions computations:
achieving last bit accuracy. The results obtained are
correctly rounded for almost all argument
values.\par
Our main idea in the accurate tables method is to use
``nonstandard tables,'' which are different from the
natural tables of equally spaced points in which the
rounding error prevents obtaining last bit accuracy. In
order to achieve a small error we use the following
idea: Perturb the original, equally spaced, points in
such a way that the table value (or tables values in
case we need several tables) will be very close to
numbers which can be exactly represented by the
computer (much closer than the usual double precision
representation). Thus we were able to control the error
introduced by the computer representation of real
numbers and extended the accuracy without actually
using extended precision arithmetic.",
acknowledgement = ack-nhfb,
keywords = "algorithms; theory",
subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL
ANALYSIS, General, Computer arithmetic. {\bf G.1.2}:
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation.",
}
@Article{Cody:1991:PEP,
author = "W. J. Cody",
title = "Performance Evaluation of Programs Related to the Real
Gamma Function",
journal = j-TOMS,
volume = "17",
number = "1",
pages = "46--54",
month = mar,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/103147.103153",
ISSN = "0098-3500",
MRclass = "65D20 (65Y20)",
MRnumber = "91m:65052",
bibdate = "Sun Sep 04 23:33:02 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-1/p46-cody/",
abstract = "Methods are presented for evaluating the performance
of programs for the functions $\Gamma(x)$, $\ln
\Gamma(x)$, and $\psi(x)$. Accuracy estimates are based
on comparisons using the manipulation theorem. Ideas
for checking robustness are also given, and details on
specific implementations of test programs are
included.",
acknowledgement = ack-nhfb,
keywords = "measurement; performance; reliability",
subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL
ANALYSIS, General, Numerical algorithms. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Certification and testing.",
}
@Article{Cody:1991:UTS,
author = "W. J. Cody and L. Stoltz",
title = "The Use of {Taylor} Series to Test Accuracy of
Function Programs",
journal = j-TOMS,
volume = "17",
number = "1",
pages = "55--63",
month = mar,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/103147.103154",
ISSN = "0098-3500",
MRclass = "65D20 (65Y20)",
MRnumber = "91m:65053",
bibdate = "Sun Sep 04 23:36:36 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-1/p55-cody/",
abstract = "This paper discusses the use of local Taylor series
expansions for determining the accuracy of computer
programs for special functions. The main example is
testing of programs for exponential integrals.
Additional applications include testing of programs for
certain Bessel functions, Dawson's integral, and error
functions.",
acknowledgement = ack-nhfb,
keywords = "algorithms; measurement; performance; verification",
subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE, Certification and testing. {\bf G.1.0}:
Mathematics of Computing, NUMERICAL ANALYSIS, General,
Numerical algorithms.",
}
@Article{Dax:1991:CAB,
author = "Achiya Dax",
title = "On Computational Aspects of Bounded Linear Least
Squares Problems",
journal = j-TOMS,
volume = "17",
number = "1",
pages = "64--73",
month = mar,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/103147.103155",
ISSN = "0098-3500",
MRclass = "65K10",
MRnumber = "91m:65179",
bibdate = "Sun Sep 04 23:33:02 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-1/p64-dax/",
abstract = "The paper describes numerical experiments with active
set methods for solving bounded linear least squares
problems. It concentrates on two problems that arise in
the implementation of the active set method. One
problem is the choice of a good starting point. The
second problem is how to move out of a ``{\em dead
point}.'' The paper investigates the use of simple
iterative methods to solve these problems. The results
of our experiments indicate that the use of
Gauss--Seidel iterations to obtain a starting point is
likely to provide large gains in efficiency. Another
interesting conclusion is that dropping one constraint
at a time is advantageous to dropping several
constraints at a time.",
acknowledgement = ack-nhfb,
keywords = "algorithms; experimentation; performance; theory",
subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL
ANALYSIS, Optimization, Least squares methods.",
}
@Article{Pardalos:1991:CTP,
author = "Panos M. Pardalos",
title = "Construction of Test Problems in Quadratic Bivalent
Programming",
journal = j-TOMS,
volume = "17",
number = "1",
pages = "74--87",
month = mar,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/103147.103156",
ISSN = "0098-3500",
MRclass = "65K05",
MRnumber = "92c:65075",
bibdate = "Sun Sep 04 23:33:02 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-1/p74-pardalos/",
abstract = "A method of constructing test problems for constrained
bivalent quadratic programming is presented. For any
feasible integer point for a given domain, the method
generates quadratic functions whose minimum over the
given domain occurs at the selected point.\par
Certain properties of unconstrained quadratic zero-one
programs that determine the difficulty of the test
problems are also discussed. In addition, a
standardized random test problem generator for
unconstrained quadratic zero-one programming is
given.",
acknowledgement = ack-nhfb,
keywords = "algorithms; experimentation; performance",
reviewer = "P. K. Subramanian",
subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL
ANALYSIS, Optimization, Integer programming. {\bf
G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS,
Optimization, Nonlinear programming. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE.",
}
@Article{Klier:1991:FCB,
author = "Peter Klier and Richard J. Fateman",
title = "On Finding the Closest Bitwise Matches in a Fixed
Set",
journal = j-TOMS,
volume = "17",
number = "1",
pages = "88--97",
month = mar,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/103147.103157",
ISSN = "0098-3500",
MRclass = "68Q20",
MRnumber = "1 103 630",
bibdate = "Sun Sep 04 23:33:02 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-1/p88-klier/",
abstract = "In a given large fixed table of bit-vectors, we would
like to find, as rapidly as possible, those bit-vectors
which have the least Hamming distances from a
newly-presented arbitrary bit-vector.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\bf F.2.2}: Theory of Computation, ANALYSIS OF
ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
Algorithms and Problems, Pattern matching. {\bf E.2}:
Data, DATA STORAGE REPRESENTATIONS. {\bf F.2.2}: Theory
of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Nonnumerical Algorithms and Problems,
Sorting and searching. {\bf H.3.3}: Information
Systems, INFORMATION STORAGE AND RETRIEVAL, Information
Search and Retrieval, Search process.",
}
@Article{LEcuyer:1991:IRN,
author = "Pierre L'Ecuyer and Serge C{\^o}t{\'e}",
title = "Implementing a Random Number Package with Splitting
Facilities",
journal = j-TOMS,
volume = "17",
number = "1",
pages = "98--111",
month = mar,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/103147.103158",
ISSN = "0098-3500",
MRclass = "65C10",
MRnumber = "91m:65016",
bibdate = "Sun Sep 04 23:33:02 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-1/p98-lecuyer/",
abstract = "A portable set of software tools is described for
uniform random variates generation. It provides for
multiple generators running simultaneously, and each
generator has its sequence of numbers partitioned into
many long (disjoint) substreams. Simple procedure calls
allow the user to make any generator ``jump'' ahead to
the beginning of its next substream, back to the
beginning of its current substream, or back to the
beginning of its first substream\ldots. Implementation
issues are discussed\ldots. A Pascal implementation for
32-bit computers is described.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND
STATISTICS, Random number generation. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE.",
}
@Article{Liu:1991:GEM,
author = "Joseph W. H. Liu",
title = "A Generalized Envelope Method for Sparse Factorization
by Rows",
journal = j-TOMS,
volume = "17",
number = "1",
pages = "112--129",
month = mar,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/103147.103159",
ISSN = "0098-3500",
MRclass = "65F50",
MRnumber = "92b:65037",
bibdate = "Sun Sep 04 23:43:02 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-1/p112-liu/",
abstract = "A generalized form of the envelope method is proposed
for the solution of large sparse symmetric and positive
definite matrices by rows. The method is demonstrated
to have practical advantages over the conventional
column-oriented factorization using compressed column
storage or the multifrontal method using full frontal
submatrices.",
acknowledgement = ack-nhfb,
keywords = "algorithms; functional algorithm",
reviewer = "R. P. Tewarson",
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{Mohideen:1991:RCG,
author = "Saleem Mohideen and Vladimir Cherkassky",
title = "On Recursive Calculation of the Generalized Inverse of
a Matrix",
journal = j-TOMS,
volume = "17",
number = "1",
pages = "130--147",
month = mar,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/103147.103160",
ISSN = "0098-3500",
MRclass = "65F10 (65F20)",
MRnumber = "92c:65042",
bibdate = "Sun Sep 04 23:33:02 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-1/p130-mohideen/",
abstract = "The generalized inverse of a matrix is an extension of
the ordinary square matrix inverse which applies to any
matrix (e.g., singular, rectangular). The generalized
inverse has numerous important applications such as
regression analysis, filtering, optimization and, more
recently, linear associative memories. In this latter
application known as Distributed Associative Memory,
stimulus vectors are associated with response vectors
and the result of many associations is spread over the
entire memory matrix, which is calculated as the
generalized inverse. Addition/deletion of new
associations requires recalculation of the generalized
inverse, which becomes computationally costly for large
systems. A better solution is to calculate the
generalized inverse recursively. The proposed algorithm
is a modification of the well known algorithm due to
Rust et al. [2], originally introduced for nonrecursive
computation. We compare our algorithm with Greville's
recursive algorithm and conclude that our algorithm
provides better numerical stability at the expense of
little extra computation time and additional storage.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance; theory",
subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra, Matrix inversion.
{\bf G.1.3}: Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra, Pseudoinverses.
{\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.",
}
@Article{Keast:1991:AEM,
author = "P. Keast and P. H. Muir",
title = "{Algorithm 688}: {EPDCOL}: {A} More Efficient {PDECOL}
Code",
journal = j-TOMS,
volume = "17",
number = "2",
pages = "153--166",
month = jun,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/108556.108558",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:44:20 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-2/p153-keast/",
abstract = "The software package PDECOL [7] is a popular code
among scientists wishing to solve systems of nonlinear
partial differential equations. The code is based on a
method-of-lines approach, with collocation in the space
variable to reduce the problem to a system of ordinary
differential equations. There are three principal
components: the basis functions employed in the
collocation; the method used to solve the system of
ordinary differential equations; and the linear
equation solver which handles the linear algebra. This
paper will concentrate on the third component, and will
report on the improvement in the performance of PDECOL
resulting from replacing the current linear algebra
modules of the code by modules which take full
advantage of the special structure of the equations
which arise. Savings of over 50 percent in total
execution time can be realized.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\bf G.1.8}: Mathematics of Computing, NUMERICAL
ANALYSIS, Partial Differential Equations. {\bf G.1.5}:
Mathematics of Computing, NUMERICAL ANALYSIS, Roots of
Nonlinear Equations. {\bf G.1.7}: Mathematics of
Computing, NUMERICAL ANALYSIS, Ordinary Differential
Equations. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE.",
}
@Article{Blom:1991:ADC,
author = "J. G. Blom and H. Brunner",
title = "{Algorithm 689}: Discretized Collocation and Iterated
Collocation for Nonlinear {Volterra} Integral Equations
of the Second Kind",
journal = j-TOMS,
volume = "17",
number = "2",
pages = "167--177",
month = jun,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/108556.108562",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:44:20 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-2/p167-blom/",
abstract = "This paper describes a FORTRAN code for calculating
approximate solutions to systems of nonlinear Volterra
integral equations of the second kind. The algorithm is
based on polynomial spline collocation, with the
possibility of combination with the corresponding
iterated collocation. It exploits certain local
superconvergence properties for the error estimation
and the stepsize strategy.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance; reliability",
subject = "{\bf G.1.9}: Mathematics of Computing, NUMERICAL
ANALYSIS, Integral Equations, Volterra equations. {\bf
G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS,
General, Numerical algorithms. {\bf G.1.2}: Mathematics
of Computing, NUMERICAL ANALYSIS, Approximation, Spline
and piecewise polynomial approximation. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE.",
}
@Article{Berzins:1991:ACP,
author = "M. Berzins and P. M. Dew",
title = "{Algorithm 690}: {Chebyshev} Polynomial Software for
Elliptic-Parabolic Systems of {PDEs}",
journal = j-TOMS,
volume = "17",
number = "2",
pages = "178--206",
month = jun,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/108556.108566",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:44:20 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-2/p178-berzins/",
abstract = "PDECHEB is a FORTRAN 77 software package that
semidiscretizes a wide range of time-dependent partial
differential equations in one space variable. The
software implements a family of spacial discretization
formulas, based on piecewise Chebyshev polynomial
expansions with $C^{0}$ continuity. The package has
been designed to be used in conjunction with a general
integrator for initial value problems to provide a
powerful software tool for the solution of
parabolic-elliptic PDEs with coupled differential
algebraic equations. Examples are provided to
illustrate the use of the package with the DASSL d.a.e
integrator of Petzold [18].",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.8}: Mathematics of Computing, NUMERICAL
ANALYSIS, Partial Differential Equations, Elliptic
equations. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE. {\bf G.1.8}: Mathematics of
Computing, NUMERICAL ANALYSIS, Partial Differential
Equations, Parabolic equations.",
}
@Article{Favati:1991:IIF,
author = "Paola Favati and Grazia Lotti and Francesco Romani",
title = "Interpolatory Integration Formulas for Optimal
Composition",
journal = j-TOMS,
volume = "17",
number = "2",
pages = "207--217",
month = jun,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/108556.108571",
ISSN = "0098-3500",
MRclass = "65D30",
MRnumber = "92k:65035",
bibdate = "Sun Sep 04 23:44:20 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-2/p207-favati/",
abstract = "A set of symmetric, closed, interpolatory integration
formulas on the interval [-1, 1] with positive weights
and increasing degree of precision is introduced. These
formulas, called recursive monotone stable (RMS)
formulas, allow applying higher order or compound rules
without wasting previously computed functional values.
An exhaustive search shows the existence of 27 families
of RMS formulas, stemming from the simple trapezoidal
rule.",
acknowledgement = ack-nhfb,
keywords = "algorithms; theory",
subject = "{\bf G.1.4}: Mathematics of Computing, NUMERICAL
ANALYSIS, Quadrature and Numerical Differentiation,
Adaptive quadrature. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE. {\bf G.1.1}:
Mathematics of Computing, NUMERICAL ANALYSIS,
Interpolation, Interpolation formulas.",
}
@Article{Favati:1991:AIQ,
author = "Paola Favati and Grazia Lotti and Francesco Romani",
title = "{Algorithm 691}: Improving {QUADPACK} Automatic
Integration Routines",
journal = j-TOMS,
volume = "17",
number = "2",
pages = "218--232",
month = jun,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/108556.108580",
ISSN = "0098-3500",
MRclass = "65D30 (65Y10)",
MRnumber = "92k:65036",
bibdate = "Sun Sep 04 23:44:20 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-2/p218-favati/",
abstract = "Two automatic adaptive integrators from QUADPACK
(namely, QAG, and QAGS) are modified by substituting
the Gauss--Kronrod rules used for local quadrature with
recursive monotone stable (RMS) formulas. Extensive
numerical tests, both for one-dimensional and
two-dimensional integrals, show that the resulting
programs are faster, perform less functional
evaluations, and are more suitable",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.4}: Mathematics of Computing, NUMERICAL
ANALYSIS, Quadrature and Numerical Differentiation,
Adaptive quadrature. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE.",
}
@Article{Berntsen:1991:EEA,
author = "Jarle Berntsen and Terje O. Espelid",
title = "Error Estimation in Automatic Quadrature Routines",
journal = j-TOMS,
volume = "17",
number = "2",
pages = "233--252",
month = jun,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/108556.108575",
ISSN = "0098-3500",
MRclass = "65G99 (65D20 65Y10)",
MRnumber = "92m:65067",
bibdate = "Sun Sep 04 23:44:20 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-2/p233-berntsen/",
abstract = "A new algorithm for estimating the error in quadrature
approximations is presented. Based on the same
integrand evaluations that we need for approximating
the integral, one may, for many quadrature rules,
compute a sequence of null rule approximations. These
null rule approximations are then used to produce an
estimate of the local error. The algorithm allows us to
take advantage of the degree of precision of the basic
quadrature rule. In the experiments we show that the
algorithm works satisfactorily for a selection of
different quadrature rules on all test families of
integrals.",
acknowledgement = ack-nhfb,
keywords = "algorithms; experimentation",
subject = "{\bf G.1.4}: Mathematics of Computing, NUMERICAL
ANALYSIS, Quadrature and Numerical Differentiation,
Adaptive quadrature. {\bf G.1.2}: Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation.",
}
@Article{Dodson:1991:SEF,
author = "David S. Dodson and Roger G. Grimes and John G.
Lewis",
title = "Sparse Extensions to the {FORTRAN Basic Linear Algebra
Subroutines}",
journal = j-TOMS,
volume = "17",
number = "2",
pages = "253--263",
month = jun,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/108556.108577",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:44:20 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-2/p253-dodson/",
abstract = "This paper describes an extension to the set of Basic
Linear Algebra Subprograms. The extension is targeted
at sparse vector operations, with the goal of providing
efficient, but portable, implementations of algorithms
for high-performance computers.",
acknowledgement = ack-nhfb,
keywords = "algorithms; standardization",
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, Portability. {\bf D.3.2}:
Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN. {\bf D.2.2}: Software,
SOFTWARE ENGINEERING, Tools and Techniques, Software
libraries. {\bf F.2.1}: Theory of Computation, ANALYSIS
OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical
Algorithms and Problems, Computations on matrices.",
}
@Article{Dodson:1991:AMI,
author = "David S. Dodson and Roger G. Grimes and John G.
Lewis",
title = "{Algorithm 692}: Model Implementation and Test Package
for the Sparse {Basic Linear Algebra Subroutines}",
journal = j-TOMS,
volume = "17",
number = "2",
pages = "264--272",
month = jun,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/108556.108582",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:44:20 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-2/p264-dodson/",
abstract = "This paper describes a model implementation and test
software for the Sparse Basic Linear Algebra
Subprograms (Sparse BLAS). The Sparse BLAS perform
vector operations common in sparse linear algebra, with
the goal of providing efficient, but portable,
implementations of algorithms for high performance
computers. The model implementation provides a portable
set of FORTRAN 77 Sparse BLAS for the use on machines
where specially tuned implementations do not exist or
are not required. The test software is designed to
verify that tuned implementations meet the
specifications of the Sparse BLAS and that
implementations are correctly installed.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
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. {\bf D.3.2}: Software,
PROGRAMMING LANGUAGES, Language Classifications,
FORTRAN 77.",
}
@Article{Smith:1991:AFP,
author = "David M. Smith",
title = "{Algorithm 693}: {A FORTRAN} Package for
Floating-Point Multiple-Precision Arithmetic",
journal = j-TOMS,
volume = "17",
number = "2",
pages = "273--283",
month = jun,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/108556.108585",
ISSN = "0098-3500",
bibdate = "Wed Dec 13 18:36:25 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-2/p273-smith/",
abstract = "FM is a collection of FORTRAN-77 routines which
performs floating-point multiple-precision arithmetic
and elementary functions. Results are almost always
correctly rounded, and due to improved algorithms used
for elementary functions, reasonable efficiency is
obtained.",
acknowledgement = ack-nhfb,
affiliation = "Loyola Marymount Univ., Los Angeles, CA, USA",
classification = "C4130 (Interpolation and function approximation);
C5230 (Digital arithmetic methods); C7310
(Mathematics)",
keywords = "Accuracy; Elementary functions; Floating-point
multiple-precision arithmetic; FM; FORTRAN-77 routines;
Mathematical library; Portable software; Rounding off",
subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL
ANALYSIS, General, Numerical algorithms. {\bf D.3.2}:
Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN 77.",
thesaurus = "Digital arithmetic; Function approximation;
Mathematics computing; Software packages; Subroutines",
}
@Article{Higham:1991:ACT,
author = "Nicholas J. Higham",
title = "{Algorithm 694}: {A} Collection of Test Matrices in
{MATLAB}",
journal = j-TOMS,
volume = "17",
number = "3",
pages = "289--305",
month = sep,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/114697.116805",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:52:04 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-3/p289-higham/",
acknowledgement = ack-nhfb,
keywords = "algorithms; experimentation; performance; theory",
subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra.",
}
@Article{Eskow:1991:ASN,
author = "Elizabeth Eskow and Robert B. Schnabel",
title = "{Algorithm 695}: Software for a New Modified
{Cholesky} Factorization",
journal = j-TOMS,
volume = "17",
number = "3",
pages = "306--312",
month = sep,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/114697.116806",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:52:04 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-3/p306-eskow/",
acknowledgement = ack-nhfb,
keywords = "algorithms; theory",
subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE. {\bf G.1.3}: Mathematics of Computing,
NUMERICAL ANALYSIS, Numerical Linear Algebra.",
}
@Article{Rothberg:1991:ESM,
author = "Edward Rothberg and Anoop Gupta",
title = "Efficient Sparse Matrix Factorization on
High-Performance Workstations\emdash Exploiting the
Memory Hierarchy",
journal = j-TOMS,
volume = "17",
number = "3",
pages = "313--334",
month = sep,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/114697.116809",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:52:04 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-3/p313-rothberg/",
acknowledgement = ack-nhfb,
keywords = "algorithms; design; experimentation; performance",
subject = "{\bf B.3.2}: Hardware, MEMORY STRUCTURES, Design
Styles, Cache memories. {\bf C.5.3}: Computer Systems
Organization, COMPUTER SYSTEM IMPLEMENTATION,
Microcomputers, Workstations. {\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{Schrauf:1991:AIR,
author = "G{\'e}za Schrauf",
title = "{Algorithm 696}: An Inverse {Rayleigh} Iteration for
Complex Band Matrices",
journal = j-TOMS,
volume = "17",
number = "3",
pages = "335--340",
month = sep,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/114697.116807",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:52:04 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-3/p335-schrauf/",
acknowledgement = ack-nhfb,
keywords = "algorithms; theory",
subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra, Eigenvalues. {\bf
F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS
AND PROBLEM COMPLEXITY, Numerical Algorithms and
Problems, Computations on matrices. {\bf D.3.2}:
Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN 77.",
}
@Article{Akima:1991:MUI,
author = "Hiroshi Akima",
title = "A Method for Univariate Interpolation that Has the
Accuracy of a Third-Degree Polynomial",
journal = j-TOMS,
volume = "17",
number = "3",
pages = "341--366",
month = sep,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/114697.116810",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:52:04 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-3/p341-akima/",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.1}: Mathematics of Computing, NUMERICAL
ANALYSIS, Interpolation, Spline and piecewise
polynomial interpolation.",
}
@Article{Akima:1991:AUI,
author = "Hiroshi Akima",
title = "{Algorithm 697}: Univariate Interpolation that Has the
Accuracy of a Third-Degree Polynomial",
journal = j-TOMS,
volume = "17",
number = "3",
pages = "367--367",
month = sep,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/114697.116808",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:52:04 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-3/p367-akima/",
acknowledgement = ack-nhfb,
keywords = "algorithms; theory",
subject = "{\bf G.1.1}: Mathematics of Computing, NUMERICAL
ANALYSIS, Interpolation, Spline and piecewise
polynomial interpolation.",
}
@Article{Higham:1991:HCR,
author = "D. J. Higham",
title = "Highly Continuous {Runge--Kutta} Interpolants",
journal = j-TOMS,
volume = "17",
number = "3",
pages = "368--386",
month = sep,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/114697.103150",
ISSN = "0098-3500",
MRclass = "65L06",
MRnumber = "92m:65092",
bibdate = "Sun Sep 04 23:52:04 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-3/p368-higham/",
abstract = "To augment the discrete Runge--Kutta solution to the
minimal value problem, piecewise Hermite interpolants
have been used to provide a continuous approximation
with a continuous first derivative. We show that it is
possible to construct interpolants with arbitrarily
many continuous derivatives which have the same
asymptotic accuracy and basic cost as the Hermite
interpolants. We also show that the usual truncation
coefficient analysis can be applied to these new
interpolants, allowing their accuracy to be examined in
more detail. As an illustration, we present some
globally $C^2$ interpolants for use with a popular 4th
and 5th order Runge--Kutta pair of Dormand and Prince,
and we compare them theoretically and numerically with
existing interpolants.",
acknowledgement = ack-nhfb,
keywords = "algorithms; theory",
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,
Initial value problems. {\bf G.1.2}: Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation. {\bf
G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS,
Interpolation.",
}
@Article{Sharp:1991:NCS,
author = "P. W. Sharp",
title = "Numerical Comparisons of Some Explicit {Runge--Kutta}
Pair of Orders 3 Through 8",
journal = j-TOMS,
volume = "17",
number = "3",
pages = "387--409",
month = sep,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/114697.116811",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:52:04 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-3/p387-sharp/",
abstract = "We performed numerical testing of six explicit
Runge--Kutta pairs ranging in order from a (3,4) pair
to a (7,8) pair. All the test problems had smooth
solutions and we assumed dense output was not required.
The pairs were implemented in a uniform way. In
particular, the stepsize selection for all pairs was
based on the locally optimal formula. We tested the
efficiency of the pairs, to what extent tolerance
proportionality held, the accuracy of the local error
estimate and stepsize prediction, and the performance
on mildly stiff problems. We also showed, for these
pairs, how the performance could be altered noticeably
by making simple changes to the stepsize selection
strategy. As part of the work, we demonstrated new ways
of presenting numerical comparisons.",
acknowledgement = ack-nhfb,
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{Ziv:1991:FEE,
author = "Abraham Ziv",
title = "Fast Evaluation of Elementary Mathematical Functions
with Correctly Rounded Last Bit",
journal = j-TOMS,
volume = "17",
number = "3",
pages = "410--423",
month = sep,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/114697.116813",
ISSN = "0098-3500",
bibdate = "Thu Sep 1 10:15:31 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-3/p410-ziv/",
acknowledgement = ack-nj,
keywords = "algorithms; standardization; theory",
subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL
ANALYSIS, General, Numerical algorithms. {\bf G.1.2}:
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE,
Efficiency.",
}
@Article{Higham:1991:RBF,
author = "Desmond J. Higham",
title = "Remark on ``{Algorithm 669}: {BRKF45}: {A FORTRAN}
Subroutine for Solving First-Order Systems of Nonstiff
Initial Value Problems for Ordinary Differential
Equations''",
journal = j-TOMS,
volume = "17",
number = "3",
pages = "424--426",
month = sep,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/114697.116814",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:52:04 1994",
note = "See \cite{Cash:1989:ABF}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-3/p424-higham/",
acknowledgement = ack-nhfb,
keywords = "algorithms; theory",
subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL
ANALYSIS, Ordinary Differential Equations. {\bf G.1.2}:
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation.",
}
@Article{Krogh:1991:AAP,
author = "Fred T. Krogh",
title = "{ACM} Algorithms Policy",
journal = j-TOMS,
volume = "17",
number = "3",
pages = "427--430",
month = sep,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/114697.356357",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:52:04 1994",
acknowledgement = ack-nhfb,
}
@Article{Berntsen:1991:AAA,
author = "Jarle Berntsen and Terje O. Espelid and Alan Genz",
title = "An Adaptive Algorithm for the Approximate Calculation
of Multiple Integrals",
journal = j-TOMS,
volume = "17",
number = "4",
pages = "437--451",
month = dec,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/210232.210233",
ISSN = "0098-3500",
MRclass = "65-04 (65D30)",
MRnumber = "1 140 034",
bibdate = "Sun Sep 04 23:59:35 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-4/p437-berntsen/",
acknowledgement = ack-nhfb,
keywords = "algorithms; theory",
subject = "{\bf G.1.4}: Mathematics of Computing, NUMERICAL
ANALYSIS, Quadrature and Numerical Differentiation.
{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE.",
}
@Article{Berntsen:1991:ADA,
author = "Jarle Berntsen and Terje O. Espelid and Alan Genz",
title = "{Algorithm 698}: {DCUHRE}: An Adaptive
Multidimensional Integration Routine for a Vector of
Integrals",
journal = j-TOMS,
volume = "17",
number = "4",
pages = "452--456",
month = dec,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/210232.210234",
ISSN = "0098-3500",
MRclass = "65-04 (65D30)",
MRnumber = "1 140 035",
bibdate = "Sun Sep 04 23:59:35 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-4/p452-berntsen/",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.4}: Mathematics of Computing, NUMERICAL
ANALYSIS, Quadrature and Numerical Differentiation.
{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE.",
}
@Article{Krogh:1991:ANR,
author = "Fred T. Krogh and W. Van Snyder",
title = "{Algorithm 699}: {A} New Representation of
{Patterson}'s Quadrature Formulae",
journal = j-TOMS,
volume = "17",
number = "4",
pages = "457--461",
month = dec,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/210232.210235",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 09:54:59 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-4/p457-krogh/",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.4}: Mathematics of Computing, NUMERICAL
ANALYSIS, Quadrature and Numerical Differentiation.
{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE.",
}
@Article{Broughan:1991:SHL,
author = "Kevin A. Broughan",
title = "{SENAC}: {A} High-Level Interface for the {NAG}
Library",
journal = j-TOMS,
volume = "17",
number = "4",
pages = "462--480",
month = dec,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/210232.210236",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:59:35 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-4/p462-broughan/",
acknowledgement = ack-nhfb,
keywords = "design; languages; performance; theory",
subject = "{\bf D.2.2}: Software, SOFTWARE ENGINEERING, Tools and
Techniques. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE. {\bf I.1.3}: Computing
Methodologies, ALGEBRAIC MANIPULATION, Languages and
Systems. {\bf I.2.2}: Computing Methodologies,
ARTIFICIAL INTELLIGENCE, Automatic Programming.",
}
@Article{Marletta:1991:CAN,
author = "Marco Marletta",
title = "Certification of {Algorithm 700}: Numerical Tests of
the {SLEIGN} Software for {Sturm--Liouville} Problems",
journal = j-TOMS,
volume = "17",
number = "4",
pages = "481--490",
month = dec,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/210232.210237",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 23:59:35 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-4/p481-marletta/",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance; reliability",
subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE. {\bf G.1}: Mathematics of Computing,
NUMERICAL ANALYSIS.",
}
@Article{Bailey:1991:EEC,
author = "Paul B. Bailey and Burton S. Garbow and Hans G. Kaper
and Anton Zettl",
title = "Eigenvalue and Eigenfunction Computations for
{Sturm--Liouville} Problems",
journal = j-TOMS,
volume = "17",
number = "4",
pages = "491--499",
month = dec,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/210232.210238",
ISSN = "0098-3500",
MRclass = "65L15",
MRnumber = "1 140 036",
bibdate = "Sun Sep 04 23:59:35 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-4/p491-bailey/",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL
ANALYSIS, Ordinary Differential Equations.",
}
@Article{Bailey:1991:AFS,
author = "Paul B. Bailey and Burton S. Garbow and Hans G. Kaper
and Anton Zettl",
title = "{Algorithm 700}: {A FORTRAN} Software Package for
{Sturm--Liouville} Problems",
journal = j-TOMS,
volume = "17",
number = "4",
pages = "500--501",
month = dec,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/210232.210239",
ISSN = "0098-3500",
MRclass = "65L15",
MRnumber = "1 140 037",
bibdate = "Sun Sep 04 23:59:35 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-4/p500-bailey/",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.m}: Mathematics of Computing, MISCELLANEOUS.",
}
@Article{Alfeld:1991:EAS,
author = "Peter Alfeld and David J. Eyre",
title = "The Exact Analysis of Sparse Rectangular Linear
Systems",
journal = j-TOMS,
volume = "17",
number = "4",
pages = "502--518",
month = dec,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/210232.210240",
ISSN = "0098-3500",
MRclass = "65-04 (65F50)",
MRnumber = "1 140 038",
bibdate = "Sun Sep 04 23:59:35 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-4/p502-alfeld/",
acknowledgement = ack-nhfb,
keywords = "measurement; performance; theory",
subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra.",
}
@Article{Alfeld:1991:AGE,
author = "Peter Alfeld and David J. Eyre",
title = "{Algorithm 701}: {Goliath}\emdash {A} Software System
for the Exact Analysis of Rank-Deficient Sparse
Rational Linear Systems",
journal = j-TOMS,
volume = "17",
number = "4",
pages = "519--532",
month = dec,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/210232.210241",
ISSN = "0098-3500",
MRclass = "65-04 (65F50)",
MRnumber = "1 140 039",
bibdate = "Sun Sep 04 23:59:35 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-4/p519-alfeld/",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra.",
}
@Article{Gustafsson:1991:CTT,
author = "Kjell Gustafsson",
title = "Control Theoretic Techniques for Stepsize Selection in
Explicit {Runge--Kutta} Methods",
journal = j-TOMS,
volume = "17",
number = "4",
pages = "533--554",
month = dec,
year = "1991",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/210232.210242",
ISSN = "0098-3500",
MRclass = "65-04 (65L06)",
MRnumber = "1 140 040",
bibdate = "Sun Sep 04 23:59:35 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1991-17-4/p533-gustafsson/",
acknowledgement = ack-nhfb,
keywords = "algorithms; theory",
subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL
ANALYSIS, Ordinary Differential Equations. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE,
Efficiency. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE, Reliability and robustness.",
}
@Article{Boubez:1992:PED,
author = "Toufic I. Boubez and Andy M. Froncioni and Richard L.
Peskin",
title = "A Prototyping Envelope for Differential Equations",
journal = j-TOMS,
volume = "18",
number = "1",
pages = "1--10",
month = mar,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/128745.128746",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 08:43:51 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-1/p1-boubez/",
abstract = "A system is presented to allow end users to solve
nonlinear differential equations without need to write
computer programs. The system treats $n$th order space
(one dimensional), first order time systems with
initial and/or two point boundary value specification.
Users of the system need only enter the problem in
direct mathematical notation, and output is
automatically presented as a solution graph. The system
allows the user to alter this equations, in-situ, that
is to computationally steer his model. Thus the system
is suited for model prototyping. Implementation is
based on an object-oriented paradigm, well established
and robust numerical procedures, and distributed
computing to supported needed resources for numerically
intensive tasks.",
acknowledgement = ack-nhfb,
keywords = "design; experimentation; languages",
subject = "{\bf D.2.6}: Software, SOFTWARE ENGINEERING,
Programming Environments. {\bf D.2.m}: Software,
SOFTWARE ENGINEERING, Miscellaneous. {\bf G.1.5}:
Mathematics of Computing, NUMERICAL ANALYSIS, Roots of
Nonlinear Equations. {\bf D.3.2}: Software, PROGRAMMING
LANGUAGES, Language Classifications, Smalltalk.",
}
@Article{Lucks:1992:ASM,
author = "Michael Lucks and Ian Gladwell",
title = "Automated Selection of Mathematical Software",
journal = j-TOMS,
volume = "18",
number = "1",
pages = "11--34",
month = mar,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/128745.128747",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 08:43:51 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-1/p11-lucks/",
abstract = "Current approaches to recommending mathematical
software are qualitative and categorical. These
approaches are unsatisfactory when the problem to be
solved has features that can ``trade-off'' in the
recommendation process. A quantitative system is
proposed that permits tradeoffs and can be built and
modified incrementally. This quantitative approach
extends other knowledge-engineering techniques in its
knowledge representation and aggregation facilities.
The system is demonstrated on the domain of ordinary
differential equation initial value problems. The
results are significantly superior to an existing
qualitative (decision tree) system.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE. {\bf G.1.7}: Mathematics of Computing,
NUMERICAL ANALYSIS, Ordinary Differential Equations,
Initial value problems. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE. {\bf I.2.4}:
Computing Methodologies, ARTIFICIAL INTELLIGENCE,
Knowledge Representation Formalisms and Methods,
Representation languages.",
}
@Article{Olszewski:1992:FTA,
author = "Jan Olszewski",
title = "A Flexible Thinning Algorithm Allowing Parallel,
Sequential, and Distributed Application",
journal = j-TOMS,
volume = "18",
number = "1",
pages = "35--45",
month = mar,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/128745.128748",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 09:54:33 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-1/p35-olszewski/",
abstract = "A parallel thinning algorithm for digital patterns is
presented. This algorithm can also be used for
sequential thinning without the simulation of parallel
computation. The mathematical background of the
algorithm bases on the notion of the Euler
characteristic. The proposed algorithm is simple and
particularly faster than other parallel algorithms.",
acknowledgement = ack-nhfb,
keywords = "algorithms; design; theory",
subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL
ANALYSIS, General, Parallel algorithms. {\bf I.5.2}:
Computing Methodologies, PATTERN RECOGNITION, Design
Methodology. {\bf I.4.1}: Computing Methodologies,
IMAGE PROCESSING, Digitization. {\bf D.1.3}: Software,
PROGRAMMING TECHNIQUES, Concurrent Programming.",
}
@Article{Schlick:1992:TETa,
author = "Tamar Schlick and Aaron Fogelson",
title = "{TNPACK}\emdash {A} Truncated {Newton} Minimization
Package for Large-Scale Problems: {I}. Algorithm and
Usage",
journal = j-TOMS,
volume = "18",
number = "1",
pages = "46--70",
month = mar,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/128745.150973",
ISSN = "0098-3500",
bibdate = "Sat Feb 10 08:50:20 1996",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-1/p46-schlick/",
abstract = "We present a FORTRAN package of subprograms for
minimizing multivariate functions without constraints
by a truncated Newton algorithm. The algorithm is
especially suited for problems involving a large number
of variables. Truncated Newton methods allow
approximate, rather than exact, solutions to the Newton
equations. Truncation is accomplished in the present
version by using the preconditioned Conjugate Gradient
algorithm (PCG) to solve approximately the Newton
equations. The preconditioner $M$ is factored in PCG
using a sparse modified Cholesky factorization based on
the Yale Sparse Matrix Package. In this paper we
briefly describe the method and provide details for
program usage.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE. {\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.",
}
@Article{Schlick:1992:TETb,
author = "Tamar Schlick and Aaron Fogelson",
title = "{TNPACK}\emdash {A} Truncated {Newton} Minimization
Package for Large-Scale Problems: {II}. Implementation
Examples",
journal = j-TOMS,
volume = "18",
number = "1",
pages = "71--111",
month = mar,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/128745.150975",
ISSN = "0098-3500",
bibdate = "Sat Feb 10 08:50:15 1996",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-1/p71-schlick/",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE. {\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 I.6.3}: Computing Methodologies,
SIMULATION AND MODELING, Applications. {\bf J.2}:
Computer Applications, PHYSICAL SCIENCES AND
ENGINEERING. {\bf J.3}: Computer Applications, LIFE AND
MEDICAL SCIENCES.",
}
@Article{Hanson:1992:QTM,
author = "R. J. Hanson and Fred T. Krogh",
title = "A Quadratic-Tensor Model Algorithm for Nonlinear
Least-Squares Problems with Linear Constraints",
journal = j-TOMS,
volume = "18",
number = "2",
pages = "115--133",
month = jun,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/146847.146857",
ISSN = "0098-3500",
MRclass = "65Y10 (49M30)",
MRnumber = "1 167 883",
bibdate = "Mon Sep 05 08:48:51 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-2/p115-hanson/",
abstract = "A new algorithm is presented for solving nonlinear
least-squares and nonlinear equation problems. The
algorithm is based on approximating the nonlinear
functions using the quadratic-tensor model proposed by
Schnabel and Frank. The problem statement may include
simple bounds or more general linear constraints on the
unknowns. The algorithm uses a trust-region defined by
a box containing the current values of the unknowns.
The objective function (Euclidean length of the
functions) is allowed to increase at intermediate
steps. These increases are allowed as long as our
predictor indicates that a new set of best values
exists in the trust-region. There is logic provided to
retreat to the current best values, should that be
required. The computations for the model-problem
require a constrained nonlinear least-squares solver.
This is done using a simpler version of the algorithm.
In its present form the algorithm is effective for
problems with linear constraints and dense Jacobian
matrices. Results on standard test problems are
presented in the Appendix. The new algorithm appears to
be efficient in terms of function and Jacobian
evaluations.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL
ANALYSIS, Optimization, Nonlinear programming.",
}
@Article{Gurwitz:1992:TCE,
author = "Chaya Gurwitz",
title = "A Test for Cancellation Errors In Quasi-{Newton}
Methods",
journal = j-TOMS,
volume = "18",
number = "2",
pages = "134--140",
month = jun,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/146847.146876",
ISSN = "0098-3500",
MRclass = "65K10 (90C30)",
MRnumber = "1 167 884",
bibdate = "Mon Sep 05 08:48:51 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-2/p134-gurwitz/",
abstract = "It has recently been shown that cancellation errors in
a quasi-Newton method can increase without bound as the
method converges. A simple test is presented to
determine when cancellation errors could lead to
significant contamination of the approximating
matrix.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL
ANALYSIS, Optimization. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, Reliability and
robustness.",
}
@Article{Schlick:1992:ATE,
author = "Tamar Schlick and Aaron Fogelson",
title = "{Algorithm 702}: {TNPACK}\emdash {A} Truncated
{Newton} Minimization Package for Large-Scale Problems:
{I}. Algorithm and Usage",
journal = j-TOMS,
volume = "18",
number = "2",
pages = "141--141",
month = jun,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/146847.146921;
http://www.acm.org/pubs/citations/journals/toms/1992-18-2/p141-schlick/",
ISSN = "0098-3500",
bibdate = "Sat Feb 10 08:50:33 1996",
note = "See remark \cite{Xie:1999:RAU}.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE. {\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.",
}
@Article{Cash:1992:MCS,
author = "J. R. Cash and S. Considine",
title = "An {MEBDF} Code for Stiff Initial Value Problems",
journal = j-TOMS,
volume = "18",
number = "2",
pages = "142--155",
month = jun,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/146847.146922",
ISSN = "0098-3500",
MRclass = "65D05 (65L06)",
MRnumber = "1 167 885",
bibdate = "Mon Sep 05 08:48:51 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-2/p142-cash/",
abstract = "In two recent papers one of the present authors has
proposed a class of modified extended backward
differentiation formulae for the numerical integration
of stiff initial value problems. In this paper we
describe a code based on this class of formulae and
discuss its performance on a large set of stiff test
problems.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\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. {\bf G.1.7}:
Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
Differential Equations, Multistep methods. {\bf G.1.7}:
Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
Differential Equations, Stiff equations. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE.",
}
@Article{Cash:1992:AMF,
author = "J. R. Cash and S. Considine",
title = "{Algorithm 703}: {MEBDF}: {A FORTRAN} Subroutine for
Solving First-Order Systems of Stiff Initial Value
Problems for Ordinary Differential Equations",
journal = j-TOMS,
volume = "18",
number = "2",
pages = "156--158",
month = jun,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/146847.146923",
ISSN = "0098-3500",
MRclass = "65D05 (65L06)",
MRnumber = "1 167 886",
bibdate = "Mon Sep 05 08:48:51 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-2/p156-cash/",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\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. {\bf G.1.7}:
Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
Differential Equations, Multistep methods. {\bf G.1.7}:
Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
Differential Equations, Stiff equations. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE.",
}
@Article{Neidinger:1992:EMN,
author = "Richard D. Neidinger",
title = "An Efficient Method for the Numerical Evaluation of
Partial Derivatives of Arbitrary Order",
journal = j-TOMS,
volume = "18",
number = "2",
pages = "159--173",
month = jun,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/146847.146924",
ISSN = "0098-3500",
MRclass = "65D25 (65Y10)",
MRnumber = "93b:65040",
bibdate = "Mon Sep 05 08:48:51 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-2/p159-neidinger/",
abstract = "For any typical multivariable expression $f$, point
$a$ in the domain of $f$, and positive integer
maxorder, this method produces the numerical values of
all partial derivatives at $a$ up through order
maxorder. By the technique known as automatic
differentiation, theoretically exact results are
obtained using numerical (as opposed to symbolic)
manipulation. The key ideas are a hyperpyramid data
structure and a generalized Leibniz's rule. Any
expression in $n$ variables corresponds to a
hyperpyramid array, in $n$-dimensional space,
containing the numerical values of all unique partial
derivatives (not wasting space on different
permutations of derivatives). The arrays for simple
expressions are combined by hyperpyramid operators to
form the arrays for more complicated expressions. These
operators are facilitated by a generalized Leibniz's
rule which, given a product of multivariable functions,
produces any partial derivative by forming the minimum
number of products (between two lower partials)
together with a product of binomial coefficients. The
algorithms are described in abstract pseudo-code. A
section on implementation shows how these ideas can be
converted into practical and efficient programs in a
typical computing environment. For any specific
problem, only the expression itself would require
recoding.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\bf G.1.4}: Mathematics of Computing, NUMERICAL
ANALYSIS, Quadrature and Numerical Differentiation.
{\bf I.1.2}: Computing Methodologies, ALGEBRAIC
MANIPULATION, Algorithms, Nonalgebraic algorithms. {\bf
G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS,
General, Numerical algorithms. {\bf G.4}: Mathematics
of Computing, MATHEMATICAL SOFTWARE, Algorithm
analysis. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE, Efficiency.",
}
@Article{Edwards:1992:EEN,
author = "John A. Edwards",
title = "Exact Equations of the Nonlinear Spline",
journal = j-TOMS,
volume = "18",
number = "2",
pages = "174--192",
month = jun,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/146847.146925",
ISSN = "0098-3500",
MRclass = "41A15 (65D05 65D07 65K10 65Y25)",
MRnumber = "93c:41018",
bibdate = "Mon Sep 05 08:48:51 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-2/p174-edwards/",
abstract = "We define the spline interpolating function, and
obtain in directly computable form the elementary set
of nonlinear equations describing nonlinear spline
curves. Using Newton's and Newton-like methods, we
solve typical spline configurations, and hence infer
that the procedure will reliably yield precise
extremum-energy solutions to nonlinear splines of
arbitrary (but presumably reasonable) size and
complexity.\par
In order to distinguish between stable and unstable
states of spline equilibria, we evaluate the energy
change resulting from a perturbation, and we briefly
discuss aspects of spline existence and uniqueness in
relation to the solved examples. We demonstrate the
abrupt transition which occurs at the threshold between
spline existence and nonexistence, and conclude that
proof of a spline's existence is implicit in the
solution set of constants yielded by the
method.\par
The procedure may be regarded on the one hand as a
precise and efficient research instrument for
investigating the properties of true splines and
elastica, and on the other as an everyday method for
obtaining ``the smoothest interpolating curve of
all''.\par
Contact is always maintained with the physical analogue
to the curve, the thin uniform elastic beam, since the
four assignable parameters used in each spline interval
comprise the necessary and sufficient three angles and
one length dimension of the actual physical
spline.\par
On an historical note, the method may be seen to offer
progress in the search, begun in the late 17th century,
for a definitive solution to the elastica problem.",
acknowledgement = ack-nhfb,
keywords = "algorithms; theory",
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 G.1.7}: Mathematics of
Computing, NUMERICAL ANALYSIS, Ordinary Differential
Equations, Boundary value problems. {\bf I.3.5}:
Computing Methodologies, COMPUTER GRAPHICS,
Computational Geometry and Object Modeling, Splines.
{\bf J.2}: Computer Applications, PHYSICAL SCIENCES AND
ENGINEERING, Engineering. {\bf J.2}: Computer
Applications, PHYSICAL SCIENCES AND ENGINEERING,
Physics.",
}
@Article{Majaess:1992:SAB,
author = "Fouad Majaess and Patrick Keast and Graeme Fairweather
and Karin R. Bennett",
title = "The Solution of Almost Block Diagonal Linear Systems
Arising in Spline Collocation at {Gaussian} Points with
Monomial Basis Functions",
journal = j-TOMS,
volume = "18",
number = "2",
pages = "193--204",
month = jun,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/146847.146926",
ISSN = "0098-3500",
MRclass = "65-04 (65D15 65F05)",
MRnumber = "93a:65002",
bibdate = "Mon Sep 05 08:48:51 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-2/p193-majaess/",
abstract = "Numerical techniques based on piecewise polynomial
(that is, spline) collation at Gaussian points are
exceedingly effective for the approximate solution of
boundary value problems, both for ordinary differential
equations and for time dependent partial differential
equations. There are several widely available computer
codes based on this approach, all of which have at
their core a particular choice of basis representation
for the piecewise polynomials used to approximate the
solutions. Until recently, the most popular approach
was to use a B-spline representation, but it has been
shown that the B-spline basis is inferior, both in
operation counts and conditioning, to a certain
monomial basis, and the latter has come more into
favor. In this paper, we describe a linear algebraic
equations which arise in spline collocation at Gaussian
points with such a monomial basis. It is shown that the
new package, which implements an alternate column and
row pivoting algorithm, is a distinct improvement over
existing packages from the points of view of speed and
storage requirements. In addition, we describe a second
package, an important special case of the first, for
solving the almost block diagonal systems which arise
when condensation is applied to the systems arising in
spline collocation at Gaussian points, and also in
other methods for solving two-point boundary value
problems, such as implicit Runge--Kutta methods and
multiple shooting.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
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).",
}
@Article{Majaess:1992:AAA,
author = "Fouad Majaess and Patrick Keast and Graeme Fairweather
and Karin R. Bennett",
title = "{Algorithm 704}: {ABDPACK} and {ABBPACK}\emdash
{FORTRAN} Programs for the Solution of Almost Block
Diagonal Linear Systems Arising in Spline Collocation
at {Gaussian} Points with Monomial Basis Functions",
journal = j-TOMS,
volume = "18",
number = "2",
pages = "205--210",
month = jun,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/146847.146927",
ISSN = "0098-3500",
MRclass = "65-04 (65F05)",
MRnumber = "93a:65003",
bibdate = "Mon Sep 05 08:48:51 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-2/p205-majaess/",
abstract = "ABDPACK is a package of FORTRAN programs for the
solution of systems of linear equations with the almost
block diagonal structure arising in spline collocation
at Gaussian points with monomial spline basis
functions, when applied to two-point boundary value
problems with separated boundary conditions. The
package ABBPACK is designed to handle a subclass of
such linear systems which have what may be called an
almost block bidiagonal structure. Such systems result,
for example, when condensation is applied to the full
spline collocation linear system. This package may also
be used to solve the almost block bidiagonal systems
arising in multiple shooting techniques and implicit
Runge--Kutta methods for solving two-point boundary
value problems. The algorithms implemented in the
package are based on an alternate column and row
pivoting scheme which avoids most of the fill-in
introduced by more commonly used techniques.",
acknowledgement = ack-nhfb,
keywords = "algorithms; standardization",
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, Spline and piecewise polynomial
approximation. {\bf I.1.2}: Computing Methodologies,
ALGEBRAIC MANIPULATION, Algorithms. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Algorithm analysis.",
}
@Article{Tang:1992:TDI,
author = "Ping Tak Peter Tang",
title = "Table-Driven Implementation of the {{\tt Expm1}}
Function in {IEEE} Floating-Point Arithmetic",
journal = j-TOMS,
volume = "18",
number = "2",
pages = "211--222",
month = jun,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/146847.146928",
ISSN = "0098-3500",
MRclass = "65D15",
MRnumber = "1 167 891",
bibdate = "Sat Feb 24 15:01:45 MST 1996",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-2/p211-tang/",
abstract = "Algorithms and implementation details for the function
$e^x - 1$ 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 0.58 ulp.",
acknowledgement = ack-nhfb,
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{Gardiner:1992:SSM,
author = "Judith D. Gardiner and Alan J. Laub and James J. Amato
and Cleve B. Moler",
title = "Solution of the {Sylvester} Matrix Equation
{$AXB^{\sc{T}}+CXD^{\sc{T}}=E$}",
journal = j-TOMS,
volume = "18",
number = "2",
pages = "223--231",
month = jun,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/146847.146929",
ISSN = "0098-3500",
MRclass = "65F05 (65-04 65F10 65F35)",
MRnumber = "1 167 892",
bibdate = "Mon Sep 05 08:48:51 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-2/p223-gardiner/",
abstract = "A software package has been developed to solve
efficiently the Sylvester-type matrix equation $AXB^{T}
+ CXD^{T} = E$. A transformation method is used which
employs the QZ algorithm to structure the equation in
such a way that it can be solved columnwise by a back
substitution technique. The algorithm is an extension
of the Bartels--Stewart method and the
Hessenberg--Schur method. The numerical performance of
the algorithms and software is demonstrated by
application to near-singular systems.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\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, Conditioning. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.
{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE, Efficiency. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, Reliability and
robustness. {\bf F.2.1}: Theory of Computation,
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY,
Numerical Algorithms and Problems, Computations on
matrices.",
}
@Article{Gardiner:1992:AFS,
author = "Judith D. Gardiner and Matthew R. Wette and Alan J.
Laub and James J. Amato and Cleve B. Moler",
title = "{Algorithm 705}: {A FORTRAN-77} Software Package for
Solving the {Sylvester} Matrix Equation
{$AXB^{\sc{T}}+CXD^{\sc{T}}=E$}",
journal = j-TOMS,
volume = "18",
number = "2",
pages = "232--238",
month = jun,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/146847.146930",
ISSN = "0098-3500",
MRclass = "65F05 (65-04 65F10 65F35)",
MRnumber = "1 167 893",
bibdate = "Tue Mar 14 17:31:30 1995",
note = "See corrections \cite{Hopkins:2002:RAF}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-2/p232-gardiner/",
abstract = "This paper documents a software package for solving
the Sylvester matrix equation (1) $AXB^{T} + CXD^{T} =
E$.\par
All quantities are real matrices; $A$ and $C$ are $m
\times n$; $B$ and $D$ are $m \times n$; and $X$ and
$E$ are $m \times n$. The unknown is $X$. Two symmetric
forms of Eq. (1) are treated separately for efficiency.
They are the continuous-time symmetric Sylvester
equation (2) $AXE^{T} + EXA^{T} + C = 0$ and the
discrete time equation (3) $AXA^{T} + C = 0$, for which
$A$, $E$, and $C$ is symmetric. The software also
provides a means for estimating the condition number of
these three equations. The algorithms employed are more
fully described in an accompanying paper [3].",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\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, Conditioning. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.
{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE, Efficiency. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, Reliability and
robustness.",
}
@Article{Weerawarana:1992:PCG,
author = "Sanjiva Weerawarana and Paul S. Wang",
title = "A Portable Code Generator for {CRAY FORTRAN}",
journal = j-TOMS,
volume = "18",
number = "3",
pages = "241--255",
month = sep,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/131766.131767",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 09:15:25 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-3/p241-weerawarana/",
abstract = "One way to combine the powers of symbolic computing
with numeric computing is to automatically derive and
produce numeric code. This approach has important
applications in science and engineering. Once the
desired formulas and procedures are derived in a
symbolic manipulation system, they can be translated
into a target numeric language by a {\em code
generator}. GENCRAY is a code generator written in the
C language for portability. GENCRAY defines a
LISP-style input language that is translated into
either FORTRAN 77 or CRAY FORTRAN. By defining its own
input syntax, GENCRAY becomes a free-standing code
translator that can be made to work with any symbolic
manipulation system. GENCRAY is portable to any
computer system with a standard C compiler. Input to
GENCRAY can come from a file or directly from a
symbolic system through a pipe. On UNIX systems with
Berkeley networking, GENCRAY also runs as a network
server. The input syntax is customizable to allow both
Common and Franz LISP input styles. In addition to
generating easily vectorizable CRAY FORTRAN code,
GENCRAY also provides high-level, easy-to-use parallel
programming macros to produce parallel code for the
multiprocessor CRAY systems. The features,
applications, usage, and implementation of GENCRAY are
described. Techniques for producing parallel codes are
discussed and illustrated by a substantial example
contained in the Appendix.",
acknowledgement = ack-nhfb,
keywords = "algorithms; design; theory",
subject = "{\bf D.3.4}: Software, PROGRAMMING LANGUAGES,
Processors, Code generation. {\bf D.1.2}: Software,
PROGRAMMING TECHNIQUES, Automatic Programming. {\bf
D.1.3}: Software, PROGRAMMING TECHNIQUES, Concurrent
Programming. {\bf G.1.0}: Mathematics of Computing,
NUMERICAL ANALYSIS, General. {\bf I.1.4}: Computing
Methodologies, ALGEBRAIC MANIPULATION, Applications.
{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN. {\bf C.1.2}: Computer Systems
Organization, PROCESSOR ARCHITECTURES, Multiple Data
Stream Architectures (Multiprocessors), Array and
vector processors. {\bf D.3.2}: Software, PROGRAMMING
LANGUAGES, Language Classifications, C.",
}
@Article{Hansen:1992:FSG,
author = "Per Christian Hansen and Tony F. Chan",
title = "{FORTRAN} Subroutines for General {Toeplitz} Systems",
journal = j-TOMS,
volume = "18",
number = "3",
pages = "256--273",
month = sep,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/131766.131768",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 13:08:40 1994",
note = "See also \cite{Hansen:1994:CAF}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-3/p256-hansen/",
abstract = "This paper presents FORTRAN 77 implementations of the
lookahead Levinson algorithm of Chan and Hansen [7, 8]
for solving symmetric indefinite and general Toeplitz
systems. The algorithms are numerically stable for all
Toeplitz matrices that do not have many {\em
consecutive} ill-conditioned leading principal
submatrices, and also produce estimates of the
algorithm and matrix condition numbers. In contrast,
the classical Levinson algorithm is only guaranteed to
be numerically stable for symmetric positive definite
Toeplitz matrices, and no condition estimate is
produced.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
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 D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN 77.",
}
@Article{Demmel:1992:SBA,
author = "James W. Demmel and Nicholas J. Higham",
title = "Stability of Block Algorithms with Fast Level-3
{BLAS}",
journal = j-TOMS,
volume = "18",
number = "3",
pages = "274--291",
month = sep,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/131766.131769",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 01:27:16 1994",
note = "See
\cite{Dongarra:1990:ASL,Higham:1990:EFM,Dayde:1994:PBI}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-3/p274-demmel/",
abstract = "Block algorithms are becoming increasingly popular in
matrix computations. Since their basic unit of data is
a submatrix rather than a scalar, they have a higher
level of granularity than point algorithms, and this
makes them well suited to high-performance computers.
The numerical stability of the block algorithms in the
new linear algebra program library LAPACK is
investigated here. It is shown that these algorithms
have backward error analyses in which the backward
error bounds are commensurate with the error bounds for
the underlying level-3 BLAS (BLAS3). One implication is
that the block algorithms are as stable as the
corresponding point algorithms when conventional BLAS3
are used. A second implication is that the use of BLAS3
based on fast matrix multiplication techniques affects
the stability only insofar as it increases the constant
terms in the normwise backward error bounds. For linear
equation solvers employing {\em LU} factorization, it
is shown that fixed precision iterative refinement
helps to mitigate the effect of the larger error
constants. Despite the positive results presented here,
not all plausible block algorithms are stable; we
illustrate this with the example of {\em LU}
factorization with block triangular factors and
describe how to check a block algorithm for stability
without doing a full error analysis.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
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{Ammar:1992:IDC,
author = "G. S. Ammar and L. Reichel and D. C. Sorensen",
title = "An Implementation of a Divide and Conquer Algorithm
for the Unitary Eigenproblem",
journal = j-TOMS,
volume = "18",
number = "3",
pages = "292--307",
month = sep,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/131766.131770",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 13:08:42 1994",
note = "See also \cite{Ammar:1994:CAI}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-3/p292-ammar/",
abstract = "We present a FORTRAN implementation of a
divide-and-conquer method for computing the spectral
resolution of a unitary upper Hessenberg matrix H. Any
such matrix $H$ of order $n$, normalized so that its
subdiagonal elements are nonnegative, can be written as
a product of $n-1$ Givens matrices and a diagonal
matrix. This representation, which we refer to as the
Schur parametric form of $H$, arises naturally in
applications such as in signal processing and in the
computation of Gauss-Szego quadrature rules. Our
programs utilize the Schur parametrization to compute
the spectral decomposition of $H$ without explicitly
forming the elements of H. If only the eigenvalues and
first components of the eigenvectors are desired, as in
the applications mentioned above, the algorithm
requires only $O(n^{2})$ arithmetic operations.
Experimental results presented indicate that the
algorithm is reliable and competitive with the general
QR algorithm applied to this problem. Moreover, the
algorithm can be easily adapted for parallel
implementation.",
acknowledgement = ack-nhfb,
keywords = "algorithms; measurement; performance; reliability",
subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra, Eigenvalues. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.
{\bf F.2.1}: Theory of Computation, ANALYSIS OF
ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms
and Problems, Computations on matrices.",
}
@Article{Toint:1992:LFS,
author = "Ph. L. Toint and D. Tuyttens",
title = "{LSNNO}, {A FORTRAN} Subroutine for Solving
Large-Scale Nonlinear Network Optimization Problems",
journal = j-TOMS,
volume = "18",
number = "3",
pages = "308--328",
month = sep,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/131766.131771",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 01:27:49 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-3/p308-toint/",
abstract = "The implementation and testing of LSNNO, a new FORTRAN
subroutine for solving large-scale nonlinear network
optimization problems is described. The implemented
algorithm applies the concepts of partial separability
and partitioned quasi-Newton updating to
high-dimensional nonlinear network optimization
problems. Some numerical results on both academic and
practical problems are reported.",
acknowledgement = ack-nhfb,
keywords = "algorithms; measurement; performance",
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. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Certification and testing. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, Efficiency. {\bf
G.2.2}: Mathematics of Computing, DISCRETE MATHEMATICS,
Graph Theory, Network problems. {\bf D.3.2}: Software,
PROGRAMMING LANGUAGES, Language Classifications,
FORTRAN.",
}
@Article{Berntsen:1992:ADA,
author = "Jarle Berntsen and Terje O. Espelid",
title = "{Algorithm 706}: {DCUTRI}: An Algorithm for Adaptive
Cubature Over a Collection of Triangles",
journal = j-TOMS,
volume = "18",
number = "3",
pages = "329--342",
month = sep,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/131766.131772",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:18:59 1999",
note = "See remark \cite{Espelid:1998:RAD}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-3/p329-berntsen/",
abstract = "An adaptive algorithm for computing an approximation
to the integral of each element in a vector function
$f(x,y)$ over a two-dimensional region made up of
triangles is presented. A FORTRAN implementation of the
algorithm is included. The basic cubature rule used
over each triangle is a 37-point symmetric rule of
degree 13. Based on the same evaluation points the
local error for each element in the approximation
vector and for each triangle is computed using a
sequence of null rule evaluations. A sophisticated
error-estimation procedure tries, in a cautious manner,
to decide whether we have asymptotic behavior locally
for each function. Different actions are taken
depending on that decision, and the procedure takes
advantage of the basic rule's polynomial degree when
computing the error estimate in the asymptotic case.",
acknowledgement = ack-nhfb,
keywords = "algorithms; reliability",
subject = "{\bf G.1.4}: Mathematics of Computing, NUMERICAL
ANALYSIS, Quadrature and Numerical Differentiation,
Adaptive quadrature. {\bf G.1.4}: Mathematics of
Computing, NUMERICAL ANALYSIS, Quadrature and Numerical
Differentiation, Multiple quadrature. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Efficiency. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE, Reliability and robustness.",
}
@Article{Hopkins:1992:RPG,
author = "Tim Hopkins",
title = "Remark on ``{Algorithm 540}: {PDECOL}, General
Collocation Software for Partial Differential Equations
[{D3}]''",
journal = j-TOMS,
volume = "18",
number = "3",
pages = "343--344",
month = sep,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/131766.131773",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 01:27:53 1994",
note = "See \cite{Madsen:1979:APG}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-3/p343-hopkins/",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE, Algorithm analysis. {\bf D.3.2}: Software,
PROGRAMMING LANGUAGES, Language Classifications,
FORTRAN.",
}
@Article{Nardin:1992:ACN,
author = "Mark Nardin and W. F. Perger and Atul Bhalla",
title = "{Algorithm 707}: {CONHYP}: {A} Numerical Evaluator of
the Confluent Hypergeometric Function for Complex
Arguments of Large Magnitudes",
journal = j-TOMS,
volume = "18",
number = "3",
pages = "345--349",
month = sep,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/131766.131774",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 01:28:04 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-3/p345-nardin/",
abstract = "A numerical evaluator for the confluent hypergeometric
function for complex arguments with large magnitudes
using a direct summation of Kummer's series is
presented. Extended precision subroutines using large
arrays to accumulate a single numerator and denominator
are ultimately used in a single division to arrive at
the final result. The accuracy has been verified
through a variety of tests and they show the evaluator
to be consistently accurate to 13 significant figures,
and on rare occasion accurate to only 9 for magnitudes
of the arguments ranging into the thousands in any
quadrant in the complex plane. Because the evaluator
automatically determines the number of significant
figures of machine precision, and because it is written
in FORTRAN 77, tests on various computers have shown
the evaluator to provide consistently accurate results,
making the evaluator very portable. The principal
drawback is that, for certain arguments, the evaluator
is slow; however, the evaluator remains valuable as a
benchmark even in such cases.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf J.2}: Computer Applications, PHYSICAL SCIENCES
AND ENGINEERING. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE, Algorithm analysis. {\bf D.3.2}:
Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN 77.",
}
@Article{Schweikard:1992:RZI,
author = "Achim Schweikard",
title = "Real Zero Isolation for Trigonometric Polynomials",
journal = j-TOMS,
volume = "18",
number = "3",
pages = "350--359",
month = sep,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/131766.131775",
ISSN = "0098-3500",
MRclass = "65H05 (65D15)",
MRnumber = "93g:65066",
bibdate = "Fri Sep 30 01:28:05 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-3/p350-schweikard/",
abstract = "An exact and practical method for determining the
number, location, and multiplicity of all real zeros of
the trigonometric polynomials is described. All
computations can be performed without loss of accuracy.
The method is based on zero isolation techniques for
algebraic polynomials. An efficient method for the
calculation of the coefficients of a corresponding
algebraic polynomial is stated. The complexity of
trigonometric zero isolation depending on the degree
and the coefficient size of the given trigonometric
polynomial is analyzed. In an experimental evaluation,
the performance of the method is compared to the
performance of recently developed numeric techniques
for the approximate determination of all roots of
trigonometric polynomials. The case of exponential or
hyperbolic polynomials is treated in an appendix.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\bf F.2.1}: Theory of Computation, ANALYSIS OF
ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms
and Problems, Computations on polynomials. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Algorithm analysis.",
}
@Article{DiDonato:1992:ASD,
author = "Armido R. {DiDonato} and Alfred H. {Morris, Jr.}",
title = "{Algorithm 708}: Significant Digit Computation of the
Incomplete Beta Function Ratios",
journal = j-TOMS,
volume = "18",
number = "3",
pages = "360--373",
month = sep,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/131766.131776",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 13:14:47 1994",
note = "See also \cite{Brown:1994:CAS}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-3/p360-didonato/",
abstract = "An algorithm is given for evaluating the incomplete
beta function ratio $I_{x}(a,b)$ and its complement $1
- I^{x}(a,b)$. A new continued fraction and a new
asymptotic series are used with classical results. A
transportable Fortran subroutine based on this
algorithm is currently in use. It is accurate to 14
significant digits when precision is not restricted by
inherent error.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.2}: Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation.",
}
@Article{Buckley:1992:ATA,
author = "A. G. Buckley",
title = "{Algorithm 709}: Testing Algorithm Implementations",
journal = j-TOMS,
volume = "18",
number = "4",
pages = "375--391",
month = dec,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/138351.138378",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 00:52:09 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-4/p375-buckley/",
acknowledgement = ack-nhfb,
keywords = "algorithms; design; experimentation",
subject = "{\bf D.2.5}: Software, SOFTWARE ENGINEERING, Testing
and Debugging, Monitors. {\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.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE, Certification and testing.",
}
@Article{Dongarra:1992:AFS,
author = "J. J. Dongarra and G. A. Geist and C. H. Romine",
title = "{Algorithm 710}: {FORTRAN} Subroutines for Computing
the Eigenvalues and Eigenvectors of a General Matrix by
Reduction to General Tridiagonal Form",
journal = j-TOMS,
volume = "18",
number = "4",
pages = "392--400",
month = dec,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/138351.138352",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 00:52:57 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-4/p392-dongarra/",
abstract = "This paper describes programs to reduce a nonsymmetric
matrix to tridiagonal form, to compute the eigenvalues
of the tridiagonal matrix, to improve the accuracy of
an eigenvalue, and to compute the corresponding
eigenvector. The intended purpose of the software is to
find a few eigenpairs of a dense nonsymmetric matrix
faster and more accurately than previous methods. The
performance and accuracy of the new routines are
compared to two EISPACK paths: RG and HQR-INVIT. The
results show that the new routines are more accurate
and also faster if less than 20 percent of the
eigenpairs are needed.",
acknowledgement = ack-nhfb,
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.1.3}:
Mathematics of Computing, NUMERICAL ANALYSIS, Numerical
Linear Algebra, Eigenvalues. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.",
}
@Article{Fisher:1992:DTO,
author = "M. E. Fisher and L. S. Jennings",
title = "Discrete-Time Optimal Control Problems with General
Constraints",
journal = j-TOMS,
volume = "18",
number = "4",
pages = "401--413",
month = dec,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/138351.138356",
ISSN = "0098-3500",
MRclass = "49M05 (65K99)",
MRnumber = "1 199 848",
bibdate = "Fri Sep 30 00:52:58 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-4/p401-fisher/",
abstract = "This paper presents a computational procedure for
solving combined discrete-time optimal control and
optimal parameter selection problems subject to general
constraints. The approach adopted is to convert the
problem into a nonlinear programming problem which can
be solved using standard optimization software. The
main features of the procedure are the way the controls
are parametrized and the conversion of all constraints
into a standard form suitable for computation. The
software is available commercially as a FORTRAN program
DMISER3 together with a companion program MISER3 for
solving continuous-time problems.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance; theory",
subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL
ANALYSIS, Optimization, Constrained optimization. {\bf
G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS,
General, Numerical algorithms. {\bf G.1.6}: Mathematics
of Computing, NUMERICAL ANALYSIS, Optimization,
Nonlinear programming. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, Efficiency.",
}
@Article{Nash:1992:ABS,
author = "Stephen G. Nash and Ariela Sofer",
title = "{Algorithm 711}: {BTN}: Software for Parallel
Unconstrained Optimization",
journal = j-TOMS,
volume = "18",
number = "4",
pages = "414--448",
month = dec,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/138351.138359",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 00:53:18 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-4/p414-nash/",
abstract = "BTN is a collection of FORTRAN subroutines for solving
unconstrained nonlinear optimization problems. It
currently runs on both Intel hypercube computers
(distributed memory) and Sequent computers (shared
memory), and can take advantage of vector processors if
they are available. The software can also be run on
traditional computers to simulate the performance of a
parallel computer. BTN is a general-purpose algorithm,
capable of solving problems with a large numbers of
variables and suitable for users inexperienced with
parallel computing. It is designed to be as easy to use
as traditional algorithms for this problem, requiring
only that a (scalar) subroutine be provided to evaluate
the objective function and its gradient vector of first
derivatives. The algorithm is based on a block
truncated-Newton method. Truncated-Newton methods
obtain the search direction by approximately solving
the Newton equations via some iterative method. The
particular method used in BTN is a block version of the
Lanczos method, which is numerically stable for
nonconvex problems. In addition to the optimization
software, a parallel derivative checker is also
provided.",
acknowledgement = ack-nhfb,
keywords = "algorithms; documentation",
subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL
ANALYSIS, General, Parallel algorithms. {\bf G.1.6}:
Mathematics of Computing, NUMERICAL ANALYSIS,
Optimization, Gradient methods. {\bf G.1.6}:
Mathematics of Computing, NUMERICAL ANALYSIS,
Optimization, Nonlinear programming.",
}
@Article{Leva:1992:FNR,
author = "Joseph L. Leva",
title = "A Fast Normal Random Number Generator",
journal = j-TOMS,
volume = "18",
number = "4",
pages = "449--453",
month = dec,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/138351.138364",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 00:53:29 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-4/p449-leva/",
abstract = "A method is presented for generating pseudorandom
numbers with a normal distribution. The technique uses
the ratio of uniform deviates method discovered by
Kinderman and Monahan with an improved set of bounding
curves. An optimized quadratic fit reduces the expected
number of logarithm evaluations to 0.012 per normal
deviate. The method gives a theoretically correct
distribution and can be implemented in 15 lines of
FORTRAN. Timing and source size comparisons are made
with other methods for generating normal deviates. The
proposed algorithm compares favorably with some of the
better algorithms.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance; theory",
subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND
STATISTICS, Random number generation. {\bf G.3}:
Mathematics of Computing, PROBABILITY AND STATISTICS,
Statistical computing.",
}
@Article{Leva:1992:ANR,
author = "Joseph L. Leva",
title = "{Algorithm 712}: {A} Normal Random Number Generator",
journal = j-TOMS,
volume = "18",
number = "4",
pages = "454--455",
month = dec,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/138351.138367",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 00:53:35 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-4/p454-leva/",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND
STATISTICS, Random number generation. {\bf G.3}:
Mathematics of Computing, PROBABILITY AND STATISTICS,
Statistical software.",
}
@Article{Boisvert:1992:PVS,
author = "Ronald F. Boisvert and Bonita V. Saunders",
title = "Portable Vectorized Software for {Bessel} Function
Evaluation",
journal = j-TOMS,
volume = "18",
number = "4",
pages = "456--469",
month = dec,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/138351.138370",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 00:53:41 1994",
note = "See also \cite{Boisvert:1993:CPV}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-4/p456-boisvert/",
abstract = "A suite of computer programs for the evaluation of
Bessel functions and modified Bessel functions of
orders zero and one for a vector of real arguments is
described. Distinguishing characteristics of these
programs are that (a) they are portable across a wide
range of machines, and (b) they are vectorized in the
case when multiple function evaluations are to be
performed. The performance of the new programs are
compared with software from the FNLIB collection of
Fullerton on which the new software is based.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\bf G.1.2}: Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Chebyshev approximation and
theory. {\bf G.1.0}: Mathematics of Computing,
NUMERICAL ANALYSIS, General, Parallel algorithms. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE,
Algorithm analysis. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, Efficiency. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE,
Portability.",
}
@Article{Drezner:1992:CMN,
author = "Zvi Drezner",
title = "Computation of the Multivariate Normal Integral",
journal = j-TOMS,
volume = "18",
number = "4",
pages = "470--480",
month = dec,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/138351.138375",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 13:08:39 1994",
note = "See also \cite{Drezner:1993:CAC}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-4/p470-drezner/",
abstract = "This paper presents a direct computation of the
multivariate normal integral by the Gauss Quadrature
method. An error control method is given. Results are
presented for multivariate integrals consisting of up
to twelve normal distributions. A computer program in
FORTRAN is given.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND
STATISTICS, Statistical software. {\bf G.1.4}:
Mathematics of Computing, NUMERICAL ANALYSIS,
Quadrature and Numerical Differentiation, Multiple
quadrature.",
}
@Article{Aberth:1992:PCU,
author = "Oliver Aberth and Mark J. Schaefer",
title = "Precise Computation Using Range Arithmetic, via
{C++}",
journal = j-TOMS,
volume = "18",
number = "4",
pages = "481--491",
month = dec,
year = "1992",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/138351.138377",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 00:53:58 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1992-18-4/p481-aberth/",
abstract = "An arithmetic is described that can replace
floating-point arithmetic for programming tasks
requiring assured accuracy. A general explanation is
given of how the arithmetic is constructed with C++,
and a programming example in this language is supplied.
Times for solving representative problems are
presented.",
acknowledgement = ack-nhfb,
keywords = "algorithms; languages",
subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL
ANALYSIS, General, Computer arithmetic. {\bf D.3.2}:
Software, PROGRAMMING LANGUAGES, Language
Classifications, C++.",
}
@Article{Cody:1993:ACP,
author = "W. J. Cody",
title = "{Algorithm 714}: {CELEFUNT}: {A} Portable Test Package
for Complex Elementary Functions",
journal = j-TOMS,
volume = "19",
number = "1",
pages = "1--21",
month = mar,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/151271.151272",
ISSN = "0098-3500",
bibdate = "Tue Sep 20 18:24:35 1994",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/toms.bib,
ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-1/p1-cody/",
abstract = "This paper discusses CELEFUNT, a package of Fortran
programs for testing complex elementary functions.",
abstract-2 = "The author discusses CELEFUNT, a package of Fortran
programs for testing complex elementary functions.
CELEFUNT is a collection of test programs for the
complex floating-point elementary functions required by
the 1978 ANSI Fortran Standard (CABS), CSQRT, CLOG,
CEXP, CSIN/CCOS, and the complex power function.",
acknowledgement = ack-nhfb,
affiliation = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., IL,
USA",
classification = "C7310 (Mathematics); C5230 (Digital arithmetic
methods); C4100 (Numerical analysis)",
keywords = "CELEFUNT; Portable test package; Complex elementary
functions; Fortran programs; Floating-point elementary
functions; CABS; CSQRT; CLOG; CEXP; CSIN/CCOS; Complex
power function; algorithms; measurement; performance",
pubcountry = "USA",
subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE, Certification and testing. {\bf G.1.0}:
Mathematics of Computing, NUMERICAL ANALYSIS, General,
Numerical algorithms.",
thesaurus = "Conformance testing; Digital arithmetic; FORTRAN;
Mathematics computing; Numerical analysis; Program
testing; Software packages",
}
@Article{Cody:1993:ASE,
author = "W. J. Cody",
title = "{Algorithm 715}: {SPECFUN}\emdash {A} Portable
{FORTRAN} Package of Special Function Routines and Test
Drivers",
journal = j-TOMS,
volume = "19",
number = "1",
pages = "22--32",
month = mar,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/151271.151273",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:23:18 1999",
note = "See remark \cite{Price:1996:RA}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-1/p22-cody/",
abstract = "SPECFUN is a package containing transportable FORTRAN
special function programs for real arguments and
accompanying test drivers. Components include Bessel
functions, exponential integrals, error functions and
related functions, and gamma functions and related
functions.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE, Certification and testing. {\bf G.1.0}:
Mathematics of Computing, NUMERICAL ANALYSIS, General,
Numerical algorithms.",
}
@Article{Wu:1993:ACH,
author = "Trong Wu",
title = "An Accurate Computation of the Hypergeometric
Distribution Function",
journal = j-TOMS,
volume = "19",
number = "1",
pages = "33--43",
month = mar,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/151271.151274",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 09:15:25 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-1/p33-wu/",
abstract = "The computation of the cumulative hypergeometric
distribution function is of interest to many
researchers who are working in the computational
sciences and related areas. Presented here is a new
method for computing this function that applies prime
number factorization to the factorials. We also apply
cancellation to the numerator and denominator to reduce
the computational complexity of the initial, the tail
end, or weighted probabilities to achieve maximum
accuracy. The new method includes two algorithms, one
using recursion and the other using iteration. These
two algorithms are machine independent; precision is
arbitrary, subject to storage limitation. The
development of the algorithms is discussed, and some
test results and the comparison of these two algorithms
are given. To implement both algorithms, we use the Ada
programming language that is an American National
Standard Institute standardized language. The language
has special features such as {\em exception handling}
and {\em tasks}. {\em Exception handling} is used to
make programming easier and to prevent overflow or
underflow conditions during the execution of the
program. {\em Tasks} are used to compute the numerator
and denominator concurrently, and to maximize the
possible number of integer multiplications in the
numerator and denominator. All of the computations can
be done on currently available machines, and the time
consumed by these computations remains reasonably
small.",
acknowledgement = ack-nhfb,
keywords = "algorithms; languages",
subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL
ANALYSIS, General, Numerical algorithms. {\bf G.3}:
Mathematics of Computing, PROBABILITY AND STATISTICS,
Statistical computing. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.
{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, Ada. {\bf D.3.3}: Software,
PROGRAMMING LANGUAGES, Language Constructs and
Features, Control structures.",
}
@Article{Kamel:1993:OES,
author = "M. S. Kamel and K. S. Ma and W. H. Enright",
title = "{ODEXPERT}: An Expert System to Select Numerical
Solvers for Initial Value {ODE} Systems",
journal = j-TOMS,
volume = "19",
number = "1",
pages = "44--62",
month = mar,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/151271.151275",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 09:15:25 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-1/p44-kamel/",
abstract = "ODEXPERT is a prototype knowledge-based system which
selects the appropriate numerical solvers for initial
value ordinary differential equations. It is capable of
deriving some knowledge about the input problem by
performing automated tests to detect properties and
structures in the problem which guide the selection
process.",
acknowledgement = ack-nhfb,
keywords = "algorithms; design",
subject = "{\bf I.2.1}: Computing Methodologies, ARTIFICIAL
INTELLIGENCE, Applications and Expert Systems. {\bf
G.1.7}: Mathematics of Computing, NUMERICAL ANALYSIS,
Ordinary Differential Equations, Initial value
problems. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE.",
}
@Article{Cash:1993:MAM,
author = "J. R. Cash and S. Semnani",
title = "A Modified {Adams} Method for {NonStiff} and Mildly
Stiff Initial Value Problems",
journal = j-TOMS,
volume = "19",
number = "1",
pages = "63--80",
month = mar,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/151271.151276",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 09:15:25 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-1/p63-cash/",
abstract = "Adams predictor-corrector methods, and explicit
Runge--Kutta formulas, have been widely used for the
numerical solution of nonstiff initial value problems.
Both of these classes of methods have certain
drawbacks, however, and it has long been the aim of
numerical analysts to derive a class of formulas that
has the advantages of both Adams and Runge--Kutta
methods and the disadvantages of neither! In this paper
we derive a class of modified Adams formulas that
attempts to achieve this aim. When used in a certain
precisely defined predictor-corrector mode, these new
formulas require three function evaluations per step,
but have much better stability than Adams formulas.
This improved stability makes the modified Adams
formulas particularly effective for mildly stiff
problems, and some numerical evidence of this is given.
We also consider the performance of the new class of
methods on the well-known DETEST test set to show their
potential on general nonstiff initial value problems.",
acknowledgement = ack-nhfb,
keywords = "algorithms; design; performance",
subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE, Certification and testing. {\bf G.1.7}:
Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
Differential Equations, Initial value problems.",
}
@Article{Renka:1993:ATT,
author = "R. J. Renka",
title = "{Algorithm 716}: {TSPACK}: Tension Spline
Curve-Fitting Package",
journal = j-TOMS,
volume = "19",
number = "1",
pages = "81--94",
month = mar,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/151271.151277;
http://www.acm.org/pubs/citations/journals/toms/1993-19-1/p81-renka/",
ISSN = "0098-3500",
bibdate = "Thu Jul 15 18:57:35 1999",
note = "See remark \cite{Testa:1999:RA}.",
abstract = "The primary purpose of TSPACK is to construct a smooth
function which interpolates a discrete set of data
points. The function may be required to have either one
or two continuous derivatives. If the accuracy of the
data does not warrant interpolation, a smoothing
function (which does not pass through the data points)
may be constructed instead. The fitting method is
designed to avoid extraneous inflection points
(associated with rapidly varying data values) and
preserve local shape properties of the data
(monotonicity and convexity), or to satisfy the more
general constraints of bounds on function values or
first derivatives. The package also provides a
parametric representation for construction general
planar curves and space curves.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE. {\bf G.1.2}: Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation. {\bf G.1.1}:
Mathematics of Computing, NUMERICAL ANALYSIS,
Interpolation.",
}
@Article{Snow:1993:CTP,
author = "Dennis M. Snow",
title = "Computing Tensor Product Decompositions",
journal = j-TOMS,
volume = "19",
number = "1",
pages = "95--108",
month = mar,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/151271.151278",
ISSN = "0098-3500",
MRclass = "22-04 (17B10 22E47)",
MRnumber = "94e:22001",
bibdate = "Mon Sep 05 09:15:25 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-1/p95-snow/",
abstract = "An algorithm is presented for computing the
decomposition of a tensor product of two irreducible
representations of a semisimple complex Lie group into
its irreducible components. The algorithm uses a known
formula which expresses the multiplicities of the
highest weight vectors in the decomposition as an
alternating sum indexed by the Weyl group. This sum is
accomplished with minimal memory requirements using
techniques developed previously by the author for
efficiently computing Weyl group orbits. Examples are
given for each of the exceptional Lie groups.",
acknowledgement = ack-nhfb,
keywords = "algorithms; experimentation; measurement; performance;
theory",
reviewer = "Jeffrey Adams",
subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE, Algorithm analysis. {\bf F.2.1}: Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Numerical Algorithms and Problems.",
}
@Article{Bunch:1993:ASM,
author = "David S. Bunch and David M. Gay and Roy E. Welsch",
title = "{Algorithm 717}: Subroutines for Maximum Likelihood
and Quasi-Likelihood Estimation of Parameters in
Nonlinear Regression Models",
journal = j-TOMS,
volume = "19",
number = "1",
pages = "109--130",
month = mar,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/151271.151279",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 09:15:25 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-1/p109-bunch/",
abstract = "We present FORTRAN 77 subroutines that solve
statistical parameter estimation problems for general
nonlinear models, e.g., nonlinear least-squares,
maximum likelihood, maximum quasi-likelihood,
generalized nonlinear least-squares, and some robust
fitting problems. The accompanying test examples
include members of the generalized linear model family,
extensions using nonlinear predictors (``nonlinear
GLIM''), and probabilistic choice models, such as
linear-in-parameter multinomial probit models. The
basic method, a generalization of the NL2SOL algorithm
for nonlinear least-squares, employs a
model/trust-region scheme for computing trial steps,
exploits special structure by maintaining a secant
approximation to the second-order part of the Hessian,
and adaptively switches between a Gauss--Newton and an
augmented Hessian approximation. Gauss--Newton steps
are computed using a corrected seminormal equations
approach. The subroutines include variants that handle
simple bounds on the parameters, and that compute
approximate regression diagnostics.",
acknowledgement = ack-nhfb,
subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND
STATISTICS, Statistical computing. {\bf G.3}:
Mathematics of Computing, PROBABILITY AND STATISTICS,
Statistical software. {\bf G.1.6}: Mathematics of
Computing, NUMERICAL ANALYSIS, Optimization. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE.",
}
@Article{Boisvert:1993:CPV,
author = "Ronald F. Boisvert and Bonita V. Saunders",
title = "Corrigendum: ``{Algorithm 713}: Portable Vectorized
Software for {Bessel} Function Evaluation''",
journal = j-TOMS,
volume = "19",
number = "1",
pages = "131--131",
month = mar,
year = "1993",
CODEN = "ACMSCU",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 09:33:37 1994",
note = "See \cite{Boisvert:1992:PVS}.",
acknowledgement = ack-nhfb,
xxURL = "Missing from ACM Digital Library",
}
@Article{Boisvert:1993:E,
author = "Ronald F. Boisvert",
title = "Editorial",
journal = j-TOMS,
volume = "19",
number = "2",
pages = "135--135",
month = jun,
year = "1993",
CODEN = "ACMSCU",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 09:34:01 1994",
acknowledgement = ack-nhfb,
xxURL = "Missing from ACM Digital Library",
}
@Article{Duff:1993:CSE,
author = "I. S. Duff and J. A. Scott",
title = "Computing Selected Eigenvalues of Sparse Unsymmetric
Matrices Using Subspace Iteration",
journal = j-TOMS,
volume = "19",
number = "2",
pages = "137--159",
month = jun,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/152613.152614",
ISSN = "0098-3500",
MRclass = "65F50 (65F15)",
MRnumber = "96c:65078",
bibdate = "Tue Nov 14 09:56:28 1995",
note = "See \cite{Duff:1995:CCS}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-2/p137-duff/",
abstract = "This paper discusses the design and development of a
code to calculate the eigenvalues of a large sparse
real unsymmetric matrix that are the rightmost,
leftmost, or are of the largest modulus. A subspace
iteration algorithm is used to compute a sequence of
sets of vectors that converge to an orthonormal basis
for the invariant subspace corresponding to the
required eigenvalues. This algorithm is combined with
Chebychev acceleration if the rightmost or leftmost
eigenvalues are sought, or if the eigenvalues of
largest modulus are known to be the rightmost or
leftmost eigenvalues. An option exists for computing
the corresponding eigenvectors. The code does not need
the matrix explicitly since it only requires the user
to multiply sets of vectors by the matrix.
Sophisticated and novel iteration controls, stopping
criteria, and restart facilities are provided. The code
is shown to be efficient and competitive on a range of
test problems.",
acknowledgement = ack-nhfb,
keywords = "algorithms; design",
subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra, Eigenvalues. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE,
Algorithm analysis.",
}
@Article{Demmel:1993:GSDa,
author = "James Demmel and Bo K{\aa}gstr{\"o}m",
title = "The Generalized {Schur} Decomposition of an Arbitrary
Pencil {$A-\lambda{B}$}: Robust Software with Error
Bounds and Applications. Part {I}: {Theory} and
Algorithms",
journal = j-TOMS,
volume = "19",
number = "2",
pages = "160--174",
month = jun,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/152613.152615",
ISSN = "0098-3500",
MRclass = "65F15 (65-04)",
MRnumber = "96d:65060a",
bibdate = "Fri Aug 26 23:38:18 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-2/p160-demmel/",
abstract = "Robust software with error bounds for computing the
generalized Schur decomposition of an arbitrary matrix
pencil $A - \lambda B$ (regular or singular) is
presented. The decomposition is a generalization of the
Schur canonical form of $A - \lambda I$ to matrix
pencils and reveals the Kronecker structure of a
singular pencil. Since computing the Kronecker
structure of a singular pencil is a potentially
ill-posed problem, it is important to be able to
compute rigorous and reliable error bounds for the
computed features. The error bounds rely on
perturbation theory for reducing subspaces and
generalized eigenvalues of singular matrix pencils. The
first part of this two-part paper presents the theory
and algorithms for the decomposition and its error
bounds, while the second part describes the computed
generalized Schur decomposition and the software, and
presents applications and an example of its use.",
acknowledgement = ack-nhfb,
keywords = "algorithms; geig; generalized Schur decomposition;
matrix pencil; nla; reliability; theory",
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, Conditioning. {\bf F.4.1}:
Theory of Computation, MATHEMATICAL LOGIC AND FORMAL
LANGUAGES, Mathematical Logic. {\bf G.4}: Mathematics
of Computing, MATHEMATICAL SOFTWARE, Algorithm
analysis.",
}
@Article{Demmel:1993:GSDb,
author = "James Demmel and Bo K{\aa}gstr{\"o}m",
title = "The Generalized {Schur} Decomposition of an Arbitrary
Pencil {$A-\lambda B$}: {Robust} Software with Error
Bounds and Applications. Part {II}: {Software} and
Applications",
journal = j-TOMS,
volume = "19",
number = "2",
pages = "175--201",
month = jun,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/152613.152616",
ISSN = "0098-3500",
MRclass = "65F15 (65-04)",
MRnumber = "96d:65060b",
bibdate = "Mon Sep 05 09:34:01 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-2/p175-demmel/",
abstract = "Robust software with error bounds for computing the
generalized Schur decomposition of an arbitrary matrix
pencil $A - \lambda B$ (regular or singular) is
presented. The decomposition is a generalization of the
Schur canonical form of $A - \lambda I$ to matrix
pencils and reveals the Kronecker structure of a
singular pencil. The second part of this two-part paper
describes the computed generalized Schur decomposition
in more detail and the software, and presents
applications and an example of its use. Background
theory and algorithms for the decomposition and its
error bounds are presented in Part I of this paper.",
acknowledgement = ack-nhfb,
keywords = "algorithms; geig; generalized Schur decomposition;
matrix pencil; nla; reliability; theory",
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, Conditioning. {\bf F.4.1}:
Theory of Computation, MATHEMATICAL LOGIC AND FORMAL
LANGUAGES, Mathematical Logic. {\bf G.4}: Mathematics
of Computing, MATHEMATICAL SOFTWARE, Algorithm
analysis.",
}
@Article{Bai:1993:CCN,
author = "Z. Bai and J. Demmel and A. McKenney",
title = "On Computing Condition Numbers for the Nonsymmetric
Eigenproblem",
journal = j-TOMS,
volume = "19",
number = "2",
pages = "202--223",
month = jun,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/152613.152617",
ISSN = "0098-3500",
MRclass = "65F35 (65-04 65F15)",
MRnumber = "96c:65074",
bibdate = "Mon Sep 05 09:34:01 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-2/p202-bai/",
abstract = "We review the theory of condition numbers for the
nonsymmetric eigenproblem and give a tabular summary of
bounds for eigenvalues, means of clusters of
eigenvalues, eigenvectors, invariant subspaces, and
related quantities. We describe the design of new
algorithms for estimating these condition numbers.
Fortran subroutines implementing these algorithms are
in the LAPACK library [1].",
acknowledgement = ack-nhfb,
keywords = "algorithms; measurement; reliability",
subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra, Eigenvalues. {\bf
F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS
AND PROBLEM COMPLEXITY, Numerical Algorithms and
Problems, Computations on matrices. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Algorithm analysis. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, Efficiency. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE,
Reliability and robustness.",
}
@Article{Miminis:1993:AFS,
author = "George Miminis and Michael Reid",
title = "{Algorithm 718}: {A FORTRAN} Subroutine to Solve the
Eigenvalues Allocation Problem for Single-Input
Systems",
journal = j-TOMS,
volume = "19",
number = "2",
pages = "224--232",
month = jun,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/152613.152618",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 09:34:01 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-2/p224-miminis/",
abstract = "An efficient implementation of an algorithm for the
eigenvalue allocation (pole placement) problem of
single-input linear systems using state feedback is
given in this paper. The implementation uses the BLAS
level-1 [2] subroutines when possible for better
performance. A brief description of the algorithm along
with some computational details is also given.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra, Eigenvalues. {\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{Greenberg:1993:EAC,
author = "Harvey J. Greenberg",
title = "Enhancements of {ANALYZE}: {A} Computer-Assisted
Analysis System for Linear Programming",
journal = j-TOMS,
volume = "19",
number = "2",
pages = "233--256",
month = jun,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/152613.152619",
ISSN = "0098-3500",
bibdate = "Mon Sep 05 09:34:01 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-2/p233-greenberg/",
abstract = "This describes enhancements to provide more advanced
computer-assisted analysis of instances of linear
programming models. Three categories of enhancements
are described: views, engines for obtaining
information, and rule-based advising. Examples of their
uses include redundancy and infeasibility diagnoses.",
acknowledgement = ack-nhfb,
keywords = "design; experimentation; languages; performance",
subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL
ANALYSIS, Optimization, ANALYZE. {\bf G.1.6}:
Mathematics of Computing, NUMERICAL ANALYSIS,
Optimization, Linear programming. {\bf I.6.2}:
Computing Methodologies, SIMULATION AND MODELING,
Simulation Languages. {\bf I.6.4}: Computing
Methodologies, SIMULATION AND MODELING, Model
Validation and Analysis.",
}
@Article{Fishman:1993:GSC,
author = "George S. Fishman and L. Stephen Yarberry",
title = "Generating a Sample from a $k$-Cell Table with
Changing Probabilities in {$O(\log_2k)$} Time",
journal = j-TOMS,
volume = "19",
number = "2",
pages = "257--261",
month = jun,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/152613.152621",
ISSN = "0098-3500",
bibdate = "Fri Sep 30 00:48:36 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-2/p257-fishman/",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND
STATISTICS.",
}
@Article{Bentley:1993:TDI,
author = "Jon L. Bentley and Mary F. Fernandez and Brian W.
Kernighan and Norman L. Schryer",
title = "Template-Driven Interfaces for Numerical Subroutines",
journal = j-TOMS,
volume = "19",
number = "3",
pages = "265--287",
month = sep,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/155743.155757",
ISSN = "0098-3500",
bibdate = "Fri Sep 16 19:17:34 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-3/p265-bentley/",
abstract = "This paper describes a set of interfaces for numerical
subroutines. Typing a short (often one-line)
description allows one to solve problems in application
domains including least-squares data fitting,
differential equations, minimization, root finding, and
integration. Our approach of ``template-driven
programming'' makes it easy to build such an interface:
a simple one takes a few hours to construct, while a
few days suffice to build the most complex program we
describe.",
acknowledgement = ack-nhfb,
keywords = "awk; design; experimentation; Fortran; languages;
Maple; UNIX shell",
subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE. {\bf D.2.2}: Software, SOFTWARE ENGINEERING,
Tools and Techniques, User interfaces. {\bf D.2.2}:
Software, SOFTWARE ENGINEERING, Tools and Techniques,
Software libraries. {\bf D.3.4}: Software, PROGRAMMING
LANGUAGES, Processors, Preprocessors. {\bf G.1.0}:
Mathematics of Computing, NUMERICAL ANALYSIS, General,
Numerical algorithms. {\bf D.2.m}: Software, SOFTWARE
ENGINEERING, Miscellaneous, Reusable software.",
}
@Article{Bailey:1993:AMT,
author = "David H. Bailey",
title = "{Algorithm 719}: Multiprecision Translation and
Execution of {FORTRAN} Programs",
journal = j-TOMS,
volume = "19",
number = "3",
pages = "288--319",
month = sep,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/155743.155767",
ISSN = "0098-3500",
bibdate = "Wed Dec 13 18:37:31 1995",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-3/p288-bailey/",
abstract = "This paper describes two Fortran utilities for
multiprecision computation. The first is a package of
Fortran subroutines that perform a variety of
arithmetic operations and transcendental functions on
floating point numbers of arbitrarily high precision.
This package is in some cases over 200 times faster
than that of certain other packages that have been
developed for this purpose.\par
The second utility is a translator program, which
facilitates the conversion of ordinary Fortran programs
to use this package. By means of source directives
(special comments) in the original Fortran program, the
user declares the precision level and specifies which
variables in each subprogram are to be treated as
multiprecision. The translator program reads this
source program and outputs a program with the
appropriate multiprecision subroutine calls.\par
This translator supports multiprecision integer, real,
and complex datatypes. The required array space for
multiprecision data types is automatically allocated.
In the evaluation of computational expressions, all of
the usual conventions for operator precedence and mixed
mode operations are upheld. Furthermore, most of the
Fortran-77 intrinsics, such as ABS, MOD, NINT, COS, EXP
are supported and produce true multiprecision values.",
abstract-2 = "The author describes two Fortran utilities for
multiprecision computation. The first is a package of
Fortran subroutines that perform a variety of
arithmetic operations and transcendental functions on
floating point numbers of arbitrarily high precision.
This package is in some cases over 200 times faster
than that of certain other packages that have been
developed for this purpose. The second utility is a
translator program, which facilitates the conversion of
ordinary Fortran programs to use this package. By means
of source directives (special comments) in the original
Fortran program, the user declares the precision level
and specifies which variables in each subprogram are to
be treated as multiprecision. The translator program
reads this source program and outputs a program with
the appropriate multiprecision subroutine calls. This
translator supports multiprecision integer, real, and
complex datatypes. The required array space for
multiprecision data types is automatically allocated.
In the evaluation of computational expressions, all of
the usual conventions for operator precedence and mixed
mode operations are upheld. Furthermore, most of the
Fortran-77 intrinsics, such as ABS, MOD, NINT, COS, EXP
are supported and produce true multiprecision values.",
acknowledgement = ack-nhfb # " and " # ack-nj,
affiliation = "NASA Ames Res. Center, Moffett Field, CA, USA",
classification = "C5230 (Digital arithmetic methods); C6120 (File
organisation); C6140D (High level languages); C6150C
(Compilers, interpreters and other processors); C7310
(Mathematics)",
keywords = "Algorithm 719; Arithmetic operations; Array space;
Complex data types; Computational expressions; Floating
point numbers; Fortran programs; Fortran subroutines;
Fortran utilities; Fortran-77 intrinsics; Mixed mode
operations; Multiprecision computation; Multiprecision
data types; Multiprecision subroutine calls;
Multiprecision translation; Operator precedence; Source
directives; Transcendental functions; Translator
program",
subject = "F.2.1 [Analysis of Algorithms and Problem Complexity]:
Numerical Algorithms and Problems; G.1.0 [Numerical
Analysis]: General; G.1.2 [Numerical Analysis];
Approximation",
thesaurus = "Data structures; Digital arithmetic; FORTRAN;
Mathematics computing; Program interpreters;
Subroutines",
}
@Article{Berntsen:1993:AAA,
author = "Jarle Berntsen and Ronald Cools and Terje O. Espelid",
title = "{Algorithm 720}: An Algorithm for Adaptive Cubature
Over a Collection of $3$-Dimensional Simplices",
journal = j-TOMS,
volume = "19",
number = "3",
pages = "320--332",
month = sep,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/155743.155785;
http://www.acm.org/pubs/citations/journals/toms/1993-19-3/p320-berntsen/",
ISSN = "0098-3500",
bibdate = "Fri Sep 16 19:17:34 1994",
abstract = "An adaptive algorithm for computing an approximation
to the integral of each element in a vector of
functions over a 3-dimensional region covered by
simplices is presented. The algorithm is encoded in
FORTRAN 77.\par
Locally, a cubature formula of degree 8 with 43 points
is used to approximate an integral. The local error
estimate is based on the same evaluation points. The
error estimation procedure tries to decide whether the
approximation for each function has asymptotic
behavior, and different actions are taken depending on
that decision.\par
The simplex with the largest error is subdivided into 8
simplices. The local procedure is then applied to each
new region. This procedure is repeated until
convergence.",
acknowledgement = ack-nhfb,
keywords = "algorithms; automatic integration; cubature; cubature
rules; error estimation; null rules; reliability;
symmetry; tetrahedrons",
subject = "G.1.4 [Numerical Analysis]: Quadrature and Numerical
Differentiation -- adaptive quadrature; multiple
quadrature; G.4 [Mathematics of Computing]:
Mathematical Software -- efficiency; reliability and
robustness",
}
@Article{Duffy:1993:NIL,
author = "Dean G. Duffy",
title = "On the Numerical Inversion of {Laplace} Transforms:
Comparison of Three New Methods on Characteristic
Problems from Applications",
journal = j-TOMS,
volume = "19",
number = "3",
pages = "333--359",
month = sep,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/155743.155788",
ISSN = "0098-3500",
bibdate = "Fri Sep 16 19:17:34 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-3/p333-duffy/",
abstract = "Three frequently used methods for numerically
inverting Laplace transforms are tested on complicated
transforms taken from the literature. The first method
is a straightforward application of the trapezoidal
rule to Bromwich's integral. The second method,
developed by Weeks [22], integrates Bromwich's integral
by using Laguerre polynomials. The third method,
devised by Talbot [18], deforms Bromwich's contour so
that the integrand of Bromwich's integral is small at
the beginning and end of the contour. These methods are
also applied to joint Laplace-Fourier transform
problems. All three methods give satisfactory results;
Talbot's, however, has an accurate method for choosing
required parameters.",
acknowledgement = ack-nhfb,
keywords = "algorithms; measurement; theory",
subject = "F.2.1 [Analysis of Algorithms and Problem Complexity]:
Numerical Algorithms and Problems",
}
@Article{Pruess:1993:MSS,
author = "Steven Pruess and Charles T. Fulton",
title = "Mathematical Software for {Sturm--Liouville}
Problems",
journal = j-TOMS,
volume = "19",
number = "3",
pages = "360--376",
month = sep,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/155743.155791",
ISSN = "0098-3500",
bibdate = "Fri Sep 16 19:17:34 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-3/p360-pruess/",
abstract = "Software is described for the Sturm--Liouville
eigenproblem. Eigenvalues, eigenfunctions, and spectral
density functions can be estimated with global error
control. The method of approximating the coefficients
forms the mathematical basis. The underlying algorithms
are briefly described, and several examples are
presented.",
acknowledgement = ack-nhfb,
keywords = "algorithms; approximating the coefficients;
eigenfunctions; performance; shooting methods; spectral
classification; spectral density functions;
Sturm--Liouville eigenvalues",
subject = "G.1.7 [Numerical Analysis]: Ordinary Differential
Equations -- boundary value problems; G.4 [Mathematics
of Computing]: Mathematical Software -- algorithm
analysis",
}
@Article{Shirts:1993:CES,
author = "Randall B. Shirts",
title = "The Computation of Eigenvalues and Solutions of
{Mathieu}'s Differential Equation for Noninteger
Order",
journal = j-TOMS,
volume = "19",
number = "3",
pages = "377--390",
month = sep,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/155743.155796",
ISSN = "0098-3500",
bibdate = "Fri Sep 16 19:17:34 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-3/p377-shirts/",
abstract = "Two algorithms for calculating the eigenvalues and
solutions of Mathieu's differential equation for
noninteger order are described. In the first algorithm,
Leeb's method is generalized, expanding the Mathieu
equation in Fourier series and diagonalizing the
symmetric tridiagonal matrix that results. Numerical
testing was used to parameterize the minimum matrix
dimension that must be used to achieve accuracy in the
eigenvalue of one part in $10^{12}$. This method
returns a set of eigenvalues below a given order and
their associated solutions simultaneously. A second
algorithm is presented which uses approximations to the
eigenvalues (Taylor series and asymptotic expansions)
and then iteratively corrects the approximations using
Newton's method until the corrections are less than a
given tolerance. A backward recursion of the continued
fraction expansion is used. The second algorithm is
faster and is optimized to obtain accuracy of one part
in $10^{14}$, but has only been implemented for orders
less than 10.5.",
acknowledgement = ack-nhfb,
keywords = "algorithms; eigenvalues; Floquet solutions; Mathieu
equation; noninteger order; numerical software;
ordinary differential equations; performance",
subject = "G.1.0 [Numerical Analysis]: General -- numerical
algorithms",
}
@Article{Shirts:1993:AMM,
author = "Randall B. Shirts",
title = "{Algorithm 721}: {MTIEU1} and {MTIEU2}: Two
Subroutines to Compute Eigenvalues and Solutions to
{Mathieu}'s Differential Equation for Noninteger and
Integer Order",
journal = j-TOMS,
volume = "19",
number = "3",
pages = "391--406",
month = sep,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/155743.155847",
ISSN = "0098-3500",
bibdate = "Fri Sep 16 19:17:34 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-3/p391-shirts/",
abstract = "Two FORTRAN routines are described which calculate
eigenvalues and eigenfunctions of Mathieu's
differential equation for noninteger as well as integer
order, MTIEU1 uses standard matrix techniques with
dimension parameterized to give accuracy in the
eigenvalue of one part in $10^{12}$. MTIEU2 used
continued fraction techniques and is optimized to give
accuracy in the eigenvalue of one part in $10^{14}$.
The limitations of the algorithms are also discussed
and illustrated.",
acknowledgement = ack-nhfb,
keywords = "algorithms; eigenvalues; Floquet solutions; FORTRAN;
Mathieu equation; noninteger order; numerical software;
ordinary differential equations; performance",
subject = "G.1.0 [General Numerical Analysis]",
}
@Article{Haag:1993:QLA,
author = "J. B. Haag and D. S. Watkins",
title = "{QR}-Like Algorithms for the Nonsymmetric Eigenvalue
Problem",
journal = j-TOMS,
volume = "19",
number = "3",
pages = "407--418",
month = sep,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/155743.155849",
ISSN = "0098-3500",
bibdate = "Fri Sep 16 19:17:34 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-3/p407-haag/",
abstract = "Hybrid codes that combine elements of the QR and LR
algorithms are described. The codes can calculate the
eigenvalues and, optionally, eigenvectors of real,
nonsymmetric matrices. Extensive tests are presented as
evidence that, for certain choices of parameters, the
hybrid codes possess the same high reliability as the
QR algorithm and are significantly faster. The greatest
success has been achieved with the codes that calculate
eigenvalues only. These can do the task in 15\% to 50\%
less time than the QR algorithm.",
acknowledgement = ack-nhfb,
keywords = "algorithms; chasing the bulge; eigenvalue;
eigenvector; experimentation; GR algorithm; LR
algorithm; measurement; performance; QR algorithm;
verification",
subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE, Efficiency. {\bf G.1.3}: Mathematics of
Computing, NUMERICAL ANALYSIS, Numerical Linear
Algebra, Eigenvalues. {\bf F.2.1}: Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Numerical Algorithms and Problems.",
}
@Article{Chang:1993:ICR,
author = "S. Frank Chang and S. Thomas McCormick",
title = "Implementation and Computational Results for the
Hierarchical Algorithm for Making Sparse Matrices
Sparser",
journal = j-TOMS,
volume = "19",
number = "3",
pages = "419--441",
month = sep,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/155743.152620",
ISSN = "0098-3500",
bibdate = "Fri Sep 16 19:17:34 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-3/p419-chang/",
abstract = "If A is the (sparse) coefficient matrix of
linear-equality constraints, for what nonsingular $T$
is A = TA as sparse as possible, and how can it be
efficiently computed? An efficient algorithm for this
{\em Sparsity Problem} (SP) would be a valuable
preprocessor for linearly constrained optimization
problems. In a companion paper we developed a two-pass
approach to solve SP called the {\em Hierarchical
Algorithm}. In this paper we report on how we
implemented the Hierarchical Algorithm into a code
called HASP, and our computational experience in
testing HASP on the NETLIB linear-programming problems.
We found that HASP substantially outperformed a
previous code for SP and that it produced a net savings
in optimization time on the NETLIB problems. The
results allow us to give guidelines for its use in
practice.",
acknowledgement = ack-nhfb,
keywords = "algorithms; measurement; performance; verification",
subject = "F.2.1 [Analysis of Algorithms and Problem Complexity]:
Numerical Algorithms and Problems -- computations on
matrices; G.1.6 [Numerical Analysis]: Optimization --
linear programming; G.4 [Mathematics of Computing]:
Mathematical Software -- algorithms analysis;
efficiency",
}
@Article{Cody:1993:AFS,
author = "W. J. Cody and Jerome T. Coonen",
title = "{Algorithm 722}: Functions to Support the {IEEE}
Standard for Binary Floating-Point Arithmetic",
journal = j-TOMS,
volume = "19",
number = "4",
pages = "443--451",
month = dec,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/168173.168185",
ISSN = "0098-3500",
bibdate = "Sat Feb 24 15:01:45 MST 1996",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-4/p443-cody/",
abstract = "This paper describes C programs for the support
functions {\em copysign(x,y), logb(x), scalb(x,n),
nextafter(x,y), finite(x),} and {\em isnan(x)}
recommended in the Appendix to the {\em IEEE Standard
for Binary Floating-Point Arithmetic.} In the case of
{\em logb}, the modified definition given in the later
{\em IEEE Standard for Radix-Independent Floating-Point
Arithmetic} is followed. These programs should run
without modification on most systems conforming to the
binary standard.",
acknowledgement = ack-nhfb # " and " # ack-nj,
affiliation = "Argonne Nat. Lab., IL, USA",
classification = "C5230 (Digital arithmetic methods); C6130 (Data
handling techniques); C7310 (Mathematics)",
keywords = "C programs; Copysign(x,y); Finite(x); IEEE Standard
for Binary Floating-point arithmetic; Isnan(x);
Logb(x); Nextafter(x,y); Numerical software;
Scalb(x,n)",
subject = "G.1.0 [Numerical Analysis]: General -- numerical
algorithms; G.4 [Numerical Analysis]: Mathematical
Software -- certification and testing",
thesaurus = "Data handling; Digital arithmetic; Mathematics
computing; Standards",
}
@Article{Snyder:1993:AFI,
author = "W. Van Snyder",
title = "{Algorithm 723}: {Fresnel} Integrals",
journal = j-TOMS,
volume = "19",
number = "4",
pages = "452--456",
month = dec,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/168173.168193",
ISSN = "0098-3500",
bibdate = "Thu Apr 29 15:24:56 1999",
note = "See remark \cite{Snyder:1996:RAF}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-4/p452-van_snyder/",
abstract = "An implementation of approximations for Fresnel
integrals and associated functions is described. The
approximations were originally developed by W. J. Cody,
but a Fortran implementation using them has not
previously been published.",
acknowledgement = ack-nhfb,
keywords = "algorithms; special functions",
subject = "{\bf G.1.2}: Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Rational approximation. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE,
Certification and testing.",
}
@Article{Ribbens:1993:TPM,
author = "Calvin J. Ribbens and Layne T. Watson and Colin Desa",
title = "Toward Parallel Mathematical Software for Elliptic
Partial Differential Equations",
journal = j-TOMS,
volume = "19",
number = "4",
pages = "457--473",
month = dec,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/168173.168383",
ISSN = "0098-3500",
bibdate = "Fri Sep 16 19:47:29 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-4/p457-ribbens/",
abstract = "Three approaches to parallelizing important components
of the mathematical software package ELLPACK are
considered: an explicit approach using compiler
directives available only on the target machine, an
automatic approach using an optimizing and
parallelizing precompiler, and a two-level approach
based on extensive use of a set of low level
computational kernels. The focus is on shared memory
architectures. Each approach to parallelization is
described in detail, along with a discussion of the
effort involved. Performance on a test problem, using
up to sixteen processors of a Sequent Symmetry S81, is
reported and discussed. Implications for the
parallelization of a broad class of mathematical
software are drawn.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "G.1.0 [Numerical Analysis]: General -- parallel
algorithms; G.1.8 [Numerical Analysis]: Partial
Differential Equations -- elliptic equations; G.4
[Mathematics of Computing]: Mathematical Software --
efficiency; portability",
}
@Article{Abernathy:1993:ASE,
author = "Roger W. Abernathy and Robert P. Smith",
title = "Applying Series Expansion to the Inverse Beta
Distribution to Find Percentiles of the
${F}$-Distribution",
journal = j-TOMS,
volume = "19",
number = "4",
pages = "474--480",
month = dec,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/168173.168387",
ISSN = "0098-3500",
bibdate = "Fri Sep 16 19:47:29 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-4/p474-abernathy/",
abstract = "Let $0 <= 1$ and $F$ be the cumulative distribution
function (cdf) of the $F$-Distribution. We wish to find
$x_{p}$ such that $F(x_{p}|n_{1}, n_{2}) = p$, where
$n_{1}$ and $n_{2}$ are the degrees of freedom.
Traditionally, $x_{p}$ is found using a numerical
root-finding method, such as Newton's method. In this
paper, a procedure based on a series expansion for
finding $x_{p}$is given. The series expansion method
has been applied to the normal, chi-square, and $t$
distributions, but because of computational
difficulties, it has not been applied to the
$F$-Distribution. These problems have been overcome by
making the standard transformation to the beta
distribution.\par
The procedure is explained in Sections 3 and 4.
Empirical results of a comparison of CPU times are
given in Section 5. The series expansion is compared to
some of the standard root-finding methods. A table is
given for $p = 0.90$.",
acknowledgement = ack-nhfb,
keywords = "algorithms; cumulative distribution function;
cumulative distribution function (cdf); distribution
function; F-distribution; Newton's method; performance;
root-finding methods; Taylor series",
subject = "G.1.5 [Numerical Analysis]: Roots of Nonlinear
Equations; G.3 [Probability and Statistics]",
}
@Article{Abernathy:1993:APC,
author = "Roger W. Abernathy and Robert P. Smith",
title = "{Algorithm 724}: Program to Calculate
${F}$-Percentiles",
journal = j-TOMS,
volume = "19",
number = "4",
pages = "481--483",
month = dec,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/168173.168405",
ISSN = "0098-3500",
bibdate = "Fri Sep 16 19:47:29 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-4/p481-abernathy/",
abstract = "Let $0 < p < 1$ be given and let $F$ be the cumulative
distribution function of the $F$-Distribution with $(M,
N)$, degrees of freedom. This FORTRAN 77 routine is a
complement to [1] where a method was presented to find
the inverse of the $F$-Distribution function, FINV($M,
N, P$), using a series expansion technique to find the
inverse for the Beta Distribution function.",
acknowledgement = ack-nhfb,
keywords = "algorithms; cumulative distribution function (cdf);
distribution function; experimentation; F-distribution;
Newton's method; root-finding methods; Taylor series;
theory",
subject = "G.1.5 [Numerical Analysis]: Roots of Nonlinear
Equations",
}
@Article{Clarkson:1993:RAF,
author = "Douglas B. Clarkson and Yuan-an Fan and Harry Joe",
title = "A Remark on {Algorithm 643}: {FEXACT}: An Algorithm
for Performing {Fisher}'s Exact Test in $r\times{c}$
Contingency Tables",
journal = j-TOMS,
volume = "19",
number = "4",
pages = "484--488",
month = dec,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/168173.168412",
ISSN = "0098-3500",
bibdate = "Fri Sep 16 19:47:29 1994",
note = "See \cite{Mehta:1986:AFF}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-4/p484-clarkson/",
acknowledgement = ack-nhfb,
keywords = "algorithms; experimentation; measurement; performance;
theory",
subject = "{\bf G.1.2}: Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation.",
}
@Article{Hormann:1993:PRN,
author = "W. H{\"o}rmann and G. Deflinger",
title = "A Portable Random Number Generator Well Suited for the
Rejection Method",
journal = j-TOMS,
volume = "19",
number = "4",
pages = "489--495",
month = dec,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/168173.168414",
ISSN = "0098-3500",
bibdate = "Fri Sep 16 19:47:29 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-4/p489-hormann/",
abstract = "Up to now, all known efficient portable
implementations of linear congruential random number
generators with modulus $2^{31} - 1$ have worked only
with multipliers that are small compared with the
modulus. We show that for nonuniform distributions, the
rejection method may generate random numbers of bad
qualify if combined with a linear congruential
generator with small multiplier. A method is described
that works for any multiplier smaller than $2^{30}$. It
uses the decomposition of multiplier and seed in
high-order and low-order bits to compute the upper and
lower half of the product. The sum of the two halves
gives the product of multiplier and seed modulo $2^{21}
- 1$. Coded in ANSI-C and FORTRAN77 the method results
in a portable implementation of the linear congruential
generator that is as fast or faster than other portable
methods.",
acknowledgement = ack-nhfb,
keywords = "algorithms; linear congruential generator;
portability; quality of nonuniform random numbers;
rejection method; uniform random number generator",
subject = "G.3 [Mathematics of Computation]: Probability and
Statistics -- random number generation",
}
@Article{Grassmann:1993:REC,
author = "Winifred K. Grassmann",
title = "Rounding Errors in Certain Algorithms Involving
{Markov} Chains",
journal = j-TOMS,
volume = "19",
number = "4",
pages = "496--508",
month = dec,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/168173.168416",
ISSN = "0098-3500",
bibdate = "Fri Feb 07 16:38:26 1997",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-4/p496-grassmann/",
abstract = "A number of algorithms involving Markov chains contain
no subtractions. This property makes the analysis of
rounding errors particularly simple. To show this, some
principles for analyzing the propagation and generation
of rounding errors in algorithms containing no
subtraction are discussed first. These principles are
then applied in the context of a simple recursive
algorithm involving the transient solution of
discrete-time Markov chains, Jensen's algorithm, and
state reduction. Jensen's algorithm, also known as
randomization or uniformization, is an algorithm for
finding transient solutions of continuous-time Markov
chains. State reduction is a method for finding
equilibrium probabilities for discrete-time or
continuous-time Markov chains.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND
STATISTICS. {\bf F.2.2}: Theory of Computation,
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY,
Nonnumerical Algorithms and Problems.",
}
@Article{Khoury:1993:TPG,
author = "B. N. Khoury and P. M. Pardalos and D.-Z. Du",
title = "A Test Problem Generator for the {Steiner} Problem in
Graphs",
journal = j-TOMS,
volume = "19",
number = "4",
pages = "509--522",
month = dec,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/168173.168420",
ISSN = "0098-3500",
bibdate = "Mon Nov 06 07:19:45 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-4/p509-khoury/",
abstract = "In this paper we present a new binary-programming
formulation for the Steiner problem in graphs (SPG),
which is well known to be NP-hard. We use this
formulation to generate test problems with known
optimal solutions. The technique uses the KKT
optimality conditions on the corresponding
quadratically constrained optimization problem.",
acknowledgement = ack-nhfb,
keywords = "algorithms; experimentation; integer programming;
performance; Steiner problem in graphs; test problems",
subject = "G.1.6 [Numerical Analysis]: Optimization -- integer
programming; G.4 [Mathematics of Computing]:
Mathematical Software -- certification and testing;
efficiency",
}
@Article{Joe:1993:ILM,
author = "Stephen Joe and Ian H. Sloan",
title = "Implementation of a Lattice Method for Numerical
Multiple Integration",
journal = j-TOMS,
volume = "19",
number = "4",
pages = "523--545",
month = dec,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/168173.168425",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 13:08:44 1994",
note = "See also \cite{Joe:1994:CIL}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-4/p523-joe/",
abstract = "An implementation of a method for numerical multiple
integration based on a sequence of imbedded lattice
rules is given. Besides yielding an approximation to
the integral, this implementation also provides an
error estimate which does not require much extra
computation. The results of some numerical experiments
conclude the paper.",
acknowledgement = ack-nhfb,
keywords = "algorithms; lattice rules; performance",
subject = "G.1.4 [Numerical Analysis]: Quadrature and Numerical
Differentiation -- multiple quadrature",
}
@Article{Drezner:1993:CAC,
author = "Zvi Drezner",
title = "Corrigendum: ``{Algorithm 725}. Computation of the
Multivariate Normal Integral''",
journal = j-TOMS,
volume = "19",
number = "4",
pages = "546--546",
month = dec,
year = "1993",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/168173.168428",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 13:05:07 1994",
note = "See \cite{Drezner:1992:CMN}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-4/p546-drezner/",
acknowledgement = ack-nhfb,
keywords = "algorithms; multivariate normal probability",
subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND
STATISTICS, Statistical software. {\bf G.1.4}:
Mathematics of Computing, NUMERICAL ANALYSIS,
Quadrature and Numerical Differentiation, Multiple
quadrature.",
}
@Article{Boisvert:1994:CST,
author = "Ronald F. Boisvert",
title = "Charter and Scope: Transactions on Mathematical
Software ({TOMS})",
journal = j-TOMS,
volume = "20",
number = "1",
pages = "1--2",
month = mar,
year = "1994",
CODEN = "ACMSCU",
ISSN = "0098-3500",
bibdate = "Tue Sep 06 19:02:59 1994",
acknowledgement = ack-nhfb,
xxURL = "Missing from ACM Digital Library",
}
@Article{Renka:1994:CSC,
author = "Robert J. Renka",
title = "Charter and Scope: Collected Algorithms ({CALGO})",
journal = j-TOMS,
volume = "20",
number = "1",
pages = "3--3",
month = mar,
year = "1994",
CODEN = "ACMSCU",
ISSN = "0098-3500",
bibdate = "Tue Sep 06 19:02:59 1994",
acknowledgement = ack-nhfb,
xxURL = "Missing from ACM Digital Library",
}
@Article{Neusius:1994:NTA,
author = "Christian Neusius and Jan Olszewski",
title = "A Noniterative Thinning Algorithm",
journal = j-TOMS,
volume = "20",
number = "1",
pages = "5--20",
month = mar,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/174603.174604",
ISSN = "0098-3500",
MRclass = "68U10",
MRnumber = "96h:68221",
bibdate = "Tue Sep 06 19:02:59 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-1/p5-neusius/",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:1994:ACP,
author = "Walter Gautschi",
title = "{Algorithm 726}: {ORTHPOL}\emdash {A} Package of
Routines for Generating Orthogonal Polynomials and
{Gauss}-Type Quadrature Rules",
journal = j-TOMS,
volume = "20",
number = "1",
pages = "21--62",
month = mar,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/174603.174605",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:16:24 1999",
note = "See remark \cite{Gautschi:1998:RAO}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-1/p21-gautschi/",
acknowledgement = ack-nhfb,
}
@Article{Pennington:1994:NNL,
author = "S. V. Pennington and M. Berzins",
title = "New {NAG} Library Software for First-Order Partial
Differential Equations",
journal = j-TOMS,
volume = "20",
number = "1",
pages = "63--99",
month = mar,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/174603.155272",
ISSN = "0098-3500",
bibdate = "Tue Sep 06 19:02:59 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-1/p63-pennington/",
acknowledgement = ack-nhfb,
}
@Article{Hashem:1994:AQE,
author = "Sherif Hashem and Bruce Schmeiser",
title = "{Algorithm 727}: Quantile Estimation Using Overlapping
Batch Statistics",
journal = j-TOMS,
volume = "20",
number = "1",
pages = "100--102",
month = mar,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/174603.174412",
ISSN = "0098-3500",
bibdate = "Tue Sep 06 19:02:59 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-1/p100-hashem/",
acknowledgement = ack-nhfb,
}
@Article{Calamai:1994:GQB,
author = "Paul H. Calamai and Luis N. Vicente",
title = "Generating Quadratic Bilevel Programming Test
Problems",
journal = j-TOMS,
volume = "20",
number = "1",
pages = "103--119",
month = mar,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/174603.174411",
ISSN = "0098-3500",
MRclass = "65-04 (65K05)",
MRnumber = "1 368 021",
bibdate = "Tue Sep 06 19:02:59 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-1/p103-calamai/",
acknowledgement = ack-nhfb,
}
@Article{Calamai:1994:AFS,
author = "Paul H. Calamai and Luis N. Vicente",
title = "{Algorithm 728}: {FORTRAN} Subroutines for Generating
Quadratic Bilevel Programming Test Problems",
journal = j-TOMS,
volume = "20",
number = "1",
pages = "120--123",
month = mar,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/174603.174410",
ISSN = "0098-3500",
MRclass = "65-04 (65K05)",
MRnumber = "1 368 022",
bibdate = "Tue Sep 06 19:02:59 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-1/p120-calamai/",
acknowledgement = ack-nhfb,
}
@Article{Jeffrey:1994:ETI,
author = "D. J. Jeffrey and A. D. Rich",
title = "The Evaluation of Trigonometric Integrals Avoiding
Spurious Discontinuities",
journal = j-TOMS,
volume = "20",
number = "1",
pages = "124--135",
month = mar,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/174603.174409",
ISSN = "0098-3500",
MRclass = "65D30 (65-04)",
MRnumber = "96h:65034",
bibdate = "Tue Sep 06 19:02:59 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-1/p124-jeffrey/",
acknowledgement = ack-nhfb,
}
@Article{Matstoms:1994:SQF,
author = "Pontus Matstoms",
title = "Sparse {QR} Factorization in {MATLAB}",
journal = j-TOMS,
volume = "20",
number = "1",
pages = "136--159",
month = mar,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/174603.174408",
ISSN = "0098-3500",
bibdate = "Fri Aug 26 23:38:18 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-1/p136-matstoms/",
acknowledgement = ack-nhfb,
keywords = "multfr; qrd; sparse",
}
@Article{Hansen:1994:CAF,
author = "Per Christian Hansen and Tony F. Chan",
title = "Corrigendum: ``{Algorithm 729}: {FORTRAN} Subroutines
for General {Toeplitz} Systems''",
journal = j-TOMS,
volume = "20",
number = "1",
pages = "160--160",
month = mar,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/174603.174407",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 13:10:19 1994",
note = "See \cite{Hansen:1992:FSG}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-1/p160-hansen/",
acknowledgement = ack-nhfb,
}
@Article{Ammar:1994:CAI,
author = "G. S. Ammar and L. Reichel and D. C. Sorensen",
title = "Corrigendum: ``{Algorithm 730}: An Implementation of a
Divide and Conquer Algorithm for the Unitary
Eigenproblem''",
journal = j-TOMS,
volume = "20",
number = "1",
pages = "161--161",
month = mar,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/174603.174406",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 13:05:32 1994",
note = "See \cite{Ammar:1992:IDC}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-1/p161-ammar/",
acknowledgement = ack-nhfb,
}
@Article{Salvy:1994:GMP,
author = "Bruno Salvy and Paul Zimmerman",
title = "{GFUN}: {A} {Maple} Package for the Manipulation of
Generating and Holonomic Functions in One Variable",
journal = j-TOMS,
volume = "20",
number = "2",
pages = "163--177",
month = jun,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/178365.178368",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 13:27:17 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-2/p163-salvy/",
acknowledgement = ack-nhfb,
keywords = "algorithms; computer algebra; generating functions;
linear differential equations; linear recurrences",
subject = "G.2.1 [Discrete Mathematics]:
Combinatorics--generating functions; recurrences and
difference equations; I.1.2 [Algebraic Manipulation]:
Algorithms",
}
@Article{Dayde:1994:PBI,
author = "Michael J. Dayd{\'e} and Iain S. Duff and Antoine
Petitet",
title = "A Parallel Block Implementation of Level-3 {BLAS} for
{MIMD} Vector Processors",
journal = j-TOMS,
volume = "20",
number = "2",
pages = "178--193",
month = jun,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/178365.174413",
ISSN = "0098-3500",
bibdate = "Fri Sep 09 13:52:29 1994",
note = "See
\cite{Dongarra:1990:ASL,Higham:1990:EFM,Demmel:1992:SBA}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-2/p178-dayde/",
acknowledgement = ack-nhfb,
keywords = "algorithms; Level-3 BLAS; matrix-matrix kernels;
measurement; parallelization; performance;
vectorization",
subject = "F.2.1 [Analysis of Algorithms and Problem Complexity]:
Numerical Algorithms and Problems--computations on
matrices; G.1.0 [Numerical Analysis]:
General--numerical algorithms; G.1.3 [Numerical
Analysis]: Numerical Linear Algebra--linear systems
(direct and iterative methods); G.4 [Mathematics of
Computing]: Mathematical Software--certification and
testing; efficiency; portability; reliability and
robustness; verification",
}
@Article{Blom:1994:AMG,
author = "J. G. Blom and P. A. Zegeling",
title = "{Algorithm 731}: {A} Moving-Grid Interface for Systems
of One-Dimensional Time-Dependent Partial Differential
Equations",
journal = j-TOMS,
volume = "20",
number = "2",
pages = "194--214",
month = jun,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/178365.178391",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 13:27:31 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-2/p194-blom/",
acknowledgement = ack-nhfb,
keywords = "algorithms; Lagrangian methods; mathematical software;
method of lines; moving grids; partial differential
equations; performance; reliability; time-dependent
problems",
subject = "G.1.0 [Numerical Analysis]: General; G.1.8 [Numerical
Analysis]: Partial Differential Equations; G.4
[Mathematics of Computing]: Mathematical Software",
}
@Article{Hull:1994:ICE,
author = "T. E. Hull and Thomas F. Fairgrieve and Ping Tak Peter
Tang",
title = "Implementing Complex Elementary Functions Using
Exception Handling",
journal = j-TOMS,
volume = "20",
number = "2",
pages = "215--244",
month = jun,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/178365.178404",
ISSN = "0098-3500",
bibdate = "Tue Mar 21 15:10:29 1995",
note = "See corrigenda \cite{Anonymous:1994:C}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-2/p215-hull/",
abstract = "Algorithms are developed for reliable and accurate
evaluations of the complex elementary functions
required in Fortran 77 and Fortran 90, namely cabs,
csqrt, cexp, clog, csin, and ccos. The algorithms are
presented in a pseudocode that has a convenient
exception-handling facility. A tight error bound is
derived for each algorithm. Corresponding Fortran
programs for an IEEE environment have also been
developed to illustrate the practicality of the
algorithms, and these programs have been tested very
carefully to help confirm the correctness of the
algorithms and their error bounds. The results are of
these tests are included in the paper, but the Fortran
programs are not; the programs are available from
Fairgrieve, (tff@cs.toronto.edu).",
acknowledgement = ack-nhfb,
keywords = "algorithms; complex elementary functions; design;
implementation",
subject = "G.1.0 [Numerical Analysis]: General--error analysis;
numerical algorithms; G.1.2 [Numerical Analysis]:
Approximation--elementary function approximation; G.4
[Mathematics of Computing]: Mathematical
Software--algorithm analysis; reliability and
robustness; verification",
}
@Article{Joe:1994:CIL,
author = "Stephen Joe and Ian H. Sloan",
title = "Corrigendum: ``{Implementation} of a Lattice Method
for Numerical Multiple Integration''",
journal = j-TOMS,
volume = "20",
number = "2",
pages = "245--245",
month = jun,
year = "1994",
CODEN = "ACMSCU",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 13:05:52 1994",
note = "See \cite{Joe:1993:ILM}.",
acknowledgement = ack-nhfb,
xxURL = "Missing from ACM Digital Library",
}
@Article{Cummins:1994:ASS,
author = "Patrick F. Cummins and Geoffrey K. Vallis",
title = "{Algorithm 732}: Solvers for Self-Adjoint Elliptic
Problems in Irregular Two-Dimensional Domains",
journal = j-TOMS,
volume = "20",
number = "3",
pages = "247--261",
month = sep,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/192115.192118",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 12:53:13 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-3/p247-cummins/",
acknowledgement = ack-rfb,
keywords = "algorithms; capacitance iteration; capacitance matrix;
elliptic equations; fast Poisson solvers; Green's
function",
subject = "G.1.0 [Numerical Analysis]: General -- numerical
algorithms; G.1.8 [Numerical Analysis]: Partial
Differential Equations -- elliptic equations",
}
@Article{Kraft:1994:ATF,
author = "Dieter Kraft",
title = "{Algorithm 733}: {TOMP}---{Fortran} Modules for
Optimal Control Calculations",
journal = j-TOMS,
volume = "20",
number = "3",
pages = "262--281",
month = sep,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/192115.192124",
ISSN = "0098-3500",
bibdate = "Tue Nov 22 09:25:54 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-3/p262-kraft/",
acknowledgement = ack-rfb,
keywords = "algorithms; boundary value problems; manipulators;
optimal control; robotics; shooting method",
subject = "G.1.6 [Numerical Analysis]: Optimization; G.1.7
[Numerical Analysis]: Ordinary Differential Equations;
G.4 [Mathematics of Computing]: Mathematical Software;
I.2.9 [Artificial Intelligence]: Robotics",
}
@Article{Averbukh:1994:RA,
author = "Victoria Z. Averbukh and Samuel Figueroa and Tamar
Schlick",
title = "Remark on {Algorithm 566}",
journal = j-TOMS,
volume = "20",
number = "3",
pages = "282--285",
month = sep,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/192115.192128",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 12:53:17 1994",
note = "See \cite{More:1981:AFS}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-3/p282-averbukh/",
acknowledgement = ack-rfb,
keywords = "Hessian subroutines; performance",
subject = "D.2.7 [Software Engineering]: Distribution and
Maintenance -- documentation; enhancement; G.1.6
[Numerical Analysis]: Optimization -- nonlinear
programming",
}
@Article{More:1994:LSA,
author = "Jorge J. Mor{\'e} and David J. Thuente",
title = "Line Search Algorithms With Guaranteed Sufficient
Decrease",
journal = j-TOMS,
volume = "20",
number = "3",
pages = "286--307",
month = sep,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/192115.192132",
ISSN = "0098-3500",
MRclass = "90C30 (65K05)",
MRnumber = "96k:90074",
bibdate = "Sat Nov 19 12:53:17 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-3/p286-more/",
acknowledgement = ack-nhfb,
keywords = "algorithms; conjugate gradient algorithms; line search
algorithms; nonlinear optimization; truncated Newton
algorithms; variable metric algorithms",
reviewer = "K. Schittkowski",
subject = "G.1.6 [Numerical Analysis]: Optimization --
constrained optimization; gradient methods; nonlinear
programming; G.4 [Mathematics of Computing]:
Mathematical Software -- algorithm analysis;
efficiency; reliability and robustness;",
}
@Article{Buckley:1994:CFC,
author = "A. G. Buckley",
title = "Conversion to {Fortran} 90: {A} Case Study",
journal = j-TOMS,
volume = "20",
number = "3",
pages = "308--353",
month = sep,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/192115.192139",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 12:53:17 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-3/p308-buckley/",
acknowledgement = ack-rfb,
keywords = "conversion; Fortran 90; new features; overview",
}
@Article{Buckley:1994:AFC,
author = "A. G. Buckley",
title = "{Algorithm 734}: {A} {Fortran} 90 Code for
Unconstrained Nonlinear Minimization",
journal = j-TOMS,
volume = "20",
number = "3",
pages = "354--372",
month = sep,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/192115.192146",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 12:53:17 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-3/p354-buckley/",
acknowledgement = ack-rfb,
keywords = "algorithms; conversion; Fortran 90; limited memory;
new features; nonlinear optimization; quasi-Newton",
subject = "G.1.6 [Numerical Analysis]: Optimization -- gradient
methods;",
}
@Article{Kim:1994:PNA,
author = "K. Kim and J. L. Nazareth",
title = "A Primal Null-Space Affine-Scaling Method",
journal = j-TOMS,
volume = "20",
number = "3",
pages = "373--392",
month = sep,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/192115.192153",
ISSN = "0098-3500",
MRclass = "90C05 (65-04 65K05)",
MRnumber = "1 367 801",
bibdate = "Sat Nov 19 12:53:17 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-3/p373-kim/",
acknowledgement = ack-nhfb,
keywords = "algorithms; conjugate gradients; diagonal
preconditioning; interior-point algorithm; null-space
affine scaling; primal method",
subject = "G.1.6 [Numerical Analysis]: Optimization -- linear
programming;",
}
@Article{Brown:1994:CAS,
author = "Barry W. Brown and Lawrence Levy",
title = "Certification of {Algorithm 708}: Significant Digit
Computation of the Incomplete Beta",
journal = j-TOMS,
volume = "20",
number = "3",
pages = "393--397",
month = sep,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/192115.192155",
ISSN = "0098-3500",
bibdate = "Sat Nov 19 12:53:17 1994",
note = "See \cite{DiDonato:1992:ASD}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-3/p393-brown/",
acknowledgement = ack-rfb,
keywords = "algorithms; continued fractions; F-distribution",
subject = "G.1.2 [Numerical Analysis]: Approximation;",
}
@Article{Taswell:1994:AWT,
author = "Carl Taswell and Kevin C. McGill",
title = "{Algorithm 735}: Wavelet Transform Algorithms for
Finite-Duration Discrete-Time Signals",
journal = j-TOMS,
volume = "20",
number = "3",
pages = "398--412",
month = sep,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/192115.192156",
ISSN = "0098-3500",
bibdate = "Tue Nov 22 09:25:55 1994",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-3/p398-taswell/",
acknowledgement = ack-rfb,
keywords = "algorithms; multiresolution analysis; signal
processing; waveform analysis; wavelet transform;
wavelets",
subject = "G.1.2 [Numerical Analysis]: Approximations; G.4
[Mathematics of Computing]: Mathematical Software;
I.4.5 [Image Processing]: Reconstruction;",
}
@Article{Dunkl:1994:CHI,
author = "Charles F. Dunkl and Donald E. Ramirez",
title = "Computing Hyperelliptic Integrals for Surface Measure
of Ellipsoids",
journal = j-TOMS,
volume = "20",
number = "4",
pages = "413--426",
month = dec,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/198429.198430",
ISSN = "0098-3500",
MRclass = "65D30",
MRnumber = "1 368 024",
bibdate = "Tue Mar 14 16:16:49 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-4/p413-dunkl/",
acknowledgement = ack-rfb,
keywords = "elliptic integral; expected radius; Lauricella's
hypergeometric function; optimal designs; surface
measure",
subject = "G.1.4 [Numerical Analysis]: Quadrature and Numerical
Differentiation -- multiple quadrature; G.3
[Mathematics of Computing]: Probability and
Statistics",
}
@Article{Dunkl:1994:AHI,
author = "Charles F. Dunkl and Donald E. Ramirez",
title = "{Algorithm 736}: Hyperelliptic Integrals and the
Surface Measure of Ellipsoids",
journal = j-TOMS,
volume = "20",
number = "4",
pages = "427--435",
month = dec,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/198429.198431",
ISSN = "0098-3500",
MRclass = "65D30",
MRnumber = "1 368 025",
bibdate = "Tue Mar 14 16:16:51 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-4/p427-dunkl/",
acknowledgement = ack-rfb,
keywords = "elliptic integral; expected radius; Lauricella's
hypergeometric function; optimal designs; surface
measure",
subject = "G.1.4 [Numerical Analysis]: Quadrature and Numerical
Differentiation -- multiple quadrature; G.3
[Mathematics of Computing]: Probability and
Statistics",
}
@Article{Fruchtl:1994:NAE,
author = "H. Fr{\"u}chtl and P. Otto",
title = "A New Algorithm for the Evaluation of the Incomplete
Gamma Function on Vector Computers",
journal = j-TOMS,
volume = "20",
number = "4",
pages = "436--446",
month = dec,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/198429.198432",
ISSN = "0098-3500",
bibdate = "Tue Mar 14 16:16:52 1995",
acknowledgement = ack-rfb,
keywords = "Incomplete Gamma Function; quantum chemistry;
two-electron integrals",
subject = "C.1.2 [Processor Architectures]: Multiple Data Stream
Architectures -- array and vector processors; G.1.2
[Numerical Analysis]: Approximation -- rational
approximation; G.4 [Mathematics of Computing]:
Mathematical Software -- efficiency; J.2 [Computer
Applications]: Physical Sciences and Engineering --
chemistry",
}
@Article{Kearfott:1994:AIP,
author = "R. B. Kearfott and M. Dawande and K. Du and C. Hu",
title = "{Algorithm 737}: {INTLIB}: {A} Portable {Fortran-77}
Elementary Function Library",
journal = j-TOMS,
volume = "20",
number = "4",
pages = "447--459",
month = dec,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/198429.198433",
ISSN = "0098-3500",
bibdate = "Thu Apr 29 15:22:20 1999",
note = "See companion interval arithmetic package
\cite{Kearfott:1996:IFM}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-4/p447-kearfott/",
acknowledgement = ack-rfb,
keywords = "BLAS; Fortran 77; Fortran 90; interval arithmetic;
operator overloading; standard functions",
subject = "D.2.2 [Software Engineering]: Tools and Techniques --
software libraries; D.2.7 [Software Engineering]:
Distribution and Maintenance -- documentation;
portability; G.1.0 [Numerical Analysis]: General --
computer arithmetic; G.1.2 [Numerical Analysis]:
Approximation -- elementary function approximation",
}
@Article{Peters:1994:EAE,
author = "J{\"o}rg Peters",
title = "Evaluation and Approximate Evaluation of the
Multivariate {Bernstein--B{\'e}zier} Form on a
Regularly Partitioned Simplex",
journal = j-TOMS,
volume = "20",
number = "4",
pages = "460--480",
month = dec,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/198429.198434",
ISSN = "0098-3500",
MRclass = "65D17 (65-04)",
MRnumber = "1 368 026",
bibdate = "Tue Mar 14 16:28:34 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-4/p460-peters/",
acknowledgement = ack-rfb,
keywords = "Bernstein--B{\'e}zier form; evaluation; multivariate;
power form; subdivision",
subject = "G.1.2 [Numerical Analysis]: Approximation; I.3.5
[Computer Graphics]: Computational Geometry and Object
Modeling",
}
@Article{Li:1994:RSA,
author = "Kim-Hung Li",
title = "Reservoir Sampling Algorithms of Time Complexity
{$O(n(1+\log(N/n)))$}",
journal = j-TOMS,
volume = "20",
number = "4",
pages = "481--493",
month = dec,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/198429.198435",
ISSN = "0098-3500",
bibdate = "Tue Mar 14 16:16:57 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-4/p481-li/",
acknowledgement = ack-rfb,
keywords = "analysis of algorithms; random sampling; reservoir",
subject = "G.3 [Mathematics of Computing]: Probability and
Statistics -- probabilistic algorithms; random number
generation; statistical software; G.4 [Mathematics of
Computing]: Mathematical Software -- algorithm
analysis",
}
@Article{Bratley:1994:APG,
author = "Paul Bratley and Bennett L. Fox and Harald
Niederreiter",
title = "{Algorithm 738}: {Programs} to Generate
{Niederreiter}'s Low-discrepancy Sequences",
journal = j-TOMS,
volume = "20",
number = "4",
pages = "494--495",
month = dec,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/198429.198436",
ISSN = "0098-3500",
bibdate = "Mon Apr 10 15:51:40 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-4/p494-bratley/",
acknowledgement = ack-rfb,
keywords = "low-discrepancy sequences; quasi-Monte Carlo;
quasirandom sequences",
subject = "G.1.4 [Numerical Analysis]: Quadrature and Numerical
Differentiation; I.6 [Computing Methodologies]:
Simulation and Modeling",
}
@Article{Gustafsson:1994:CTT,
author = "Kjell Gustafsson",
title = "Control Theoretic Techniques for Stepsize Selection in
Implicit {Runge--Kutta} Methods",
journal = j-TOMS,
volume = "20",
number = "4",
pages = "496--517",
month = dec,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/198429.198437",
ISSN = "0098-3500",
MRclass = "65L06",
MRnumber = "1 368 027",
bibdate = "Tue Mar 14 16:17:00 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-4/p496-gustafsson/",
acknowledgement = ack-rfb,
keywords = "control theory; numerical integration; Runge--Kutta
methods; stability; stepsize selection",
subject = "G.1.7 [Numerical Analysis]: Ordinary Differential
Equations -- initial value problems; single step
methods; G.4 [Mathematics of Computing]: Mathematical
Software -- algorithm analysis; efficiency; reliability
and robustness",
}
@Article{Chow:1994:ASP,
author = "Ta-Tung Chow and Elizabeth Eskow and Robert B.
Schnabel",
title = "{Algorithm 739}: {A} Software Package for
Unconstrained Optimization using Tensor Methods",
journal = j-TOMS,
volume = "20",
number = "4",
pages = "518--530",
month = dec,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/198429.198438",
ISSN = "0098-3500",
bibdate = "Mon Apr 10 15:51:48 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-4/p518-chow/",
acknowledgement = ack-rfb,
keywords = "higher-order model; tensor method; unconstrained
optimization",
subject = "G.1.6 [Numerical Analysis]: Optimization -- Gradient
methods; G.4 [Mathematics of Computing]: Mathematical
Software -- efficiency; reliability and robustness",
}
@Article{Pinar:1994:DPL,
author = "Mustafa Pinar and Stavros A. Zenios",
title = "Data-level Parallel Linear-quadratic Penalty Algorithm
for Multicommodity Network Flows",
journal = j-TOMS,
volume = "20",
number = "4",
pages = "531--552",
month = dec,
year = "1994",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/198429.198439",
ISSN = "0098-3500",
bibdate = "Tue Mar 14 16:27:42 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-4/p531-pinar/",
acknowledgement = ack-rfb,
keywords = "massively parallel algorithms; multicommodity network
problems; parallel optimization",
subject = "D.1.3 [Programming Techniques]: Concurrent Programming
-- parallel programming; E.1 [Data]: Data Structures;
G.1.6 [Numerical Analysis]: Optimization -- constrained
optimization; nonlinear programming; G.2.2 [Discrete
Mathematics]: Graph Theory -- network problems",
}
@Article{Anonymous:1994:C,
author = "Anonymous",
title = "Corrigenda",
journal = j-TOMS,
volume = "20",
number = "4",
pages = "553--553",
month = dec,
year = "1994",
CODEN = "ACMSCU",
ISSN = "0098-3500",
bibdate = "Tue Mar 14 16:17:03 1995",
note = "See \cite{Hull:1994:ICE}",
acknowledgement = ack-rfb,
xxURL = "Missing from ACM Digital Library",
}
@Article{Boisvert:1995:PST,
author = "Ronald F. Boisvert",
title = "Purpose and Scope: {TOMS}",
journal = j-TOMS,
volume = "21",
number = "1",
pages = "1--2",
month = mar,
year = "1995",
CODEN = "ACMSCU",
ISSN = "0098-3500",
bibdate = "Tue Mar 14 16:17:05 1995",
acknowledgement = ack-rfb,
xxURL = "Missing from ACM Digital Library",
}
@Article{Hopkins:1995:PSC,
author = "Tim R. Hopkins",
title = "Purpose and Scope: {CALGO}",
journal = j-TOMS,
volume = "21",
number = "1",
pages = "3--3",
month = mar,
year = "1995",
CODEN = "ACMSCU",
ISSN = "0098-3500",
bibdate = "Tue Mar 14 16:17:06 1995",
acknowledgement = ack-rfb,
xxURL = "Missing from ACM Digital Library",
}
@Article{Jones:1995:IIC,
author = "Mark T. Jones and Paul E. Plassmann",
title = "An Improved Incomplete {Cholesky} Factorization",
journal = j-TOMS,
volume = "21",
number = "1",
pages = "5--17",
month = mar,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/200979.200981",
ISSN = "0098-3500",
MRclass = "65F10 (65F50)",
MRnumber = "1 365 810",
bibdate = "Tue Mar 14 16:17:12 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-1/p5-jones/",
acknowledgement = ack-rfb,
keywords = "incomplete Cholesky; incomplete factorization;
preconditioners; sparse matrices",
subject = "G.1.3 [Numerical Analysis]: Numerical Linear Algebra
-- linear systems; sparse and very large systems",
}
@Article{Jones:1995:AFS,
author = "Mark T. Jones and Paul E. Plassmann",
title = "{Algorithm 740}: {Fortran} Subroutines to Compute
Improved Incomplete {Cholesky} Factorizations",
journal = j-TOMS,
volume = "21",
number = "1",
pages = "18--19",
month = mar,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/200979.200986",
ISSN = "0098-3500",
bibdate = "Tue Mar 14 16:17:13 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-1/p18-jones/",
acknowledgement = ack-rfb,
keywords = "incomplete Cholesky; incomplete factorization;
preconditioners; sparse matrices",
subject = "G.1.3 [Numerical Analysis]: Numerical Linear Algebra
-- linear systems; sparse and very large systems",
}
@Article{Ray:1995:ALS,
author = "Richard D. Ray",
title = "{Algorithm 741}: Least Squares Solution of a Linear
Bordered, Block-diagonal System of Equations",
journal = j-TOMS,
volume = "21",
number = "1",
pages = "20--25",
month = mar,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/200979.200987",
ISSN = "0098-3500",
bibdate = "Tue Mar 14 16:17:14 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-1/p20-ray/",
acknowledgement = ack-rfb,
keywords = "bordered block-diagonal equations; least-squares
solutions; sparse systems",
subject = "G.1.3 [Numerical Analysis]: Numerical Linear Algebra
-- linear systems (direct and iterative methods); G.1.6
[Numerical Analysis]: Optimization -- least squares
methods; G.4 [Mathematics of Computing]: Mathematical
Software",
}
@Article{Fateman:1995:FFP,
author = "Richard J. Fateman and Kevin A. Broughan and Diane K.
Willcock and Duane Rettig",
title = "Fast Floating Point Processing in {Common Lisp}",
journal = j-TOMS,
volume = "21",
number = "1",
pages = "26--62",
month = mar,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/200979.200989",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:20:50 1999",
note = "See remark \cite{Reid:1996:RFF}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-1/p26-fateman/",
acknowledgement = ack-nhfb # " and " # ack-rfb,
keywords = "C programming language; Common Lisp; compiler
optimization; floating-point arithmetic; Fortran; Lisp;
numerical algorithms; symbolic computation",
subject = "D.3.4 [Programming Languages]: Processors ---
compilers; interpreters; optimization; G.4 [Mathematics
of Computing]: Mathematical Software --- efficiency;
portability",
}
@Article{Kearfott:1995:FER,
author = "R. Baker Kearfott",
title = "A {Fortran} 90 Environment for Research and
Prototyping of Enclosure Algorithms for Nonlinear
Equations and Global Optimization",
journal = j-TOMS,
volume = "21",
number = "1",
pages = "63--78",
month = mar,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/200979.200991",
ISSN = "0098-3500",
bibdate = "Sat May 20 15:54:41 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-1/p63-kearfott/",
acknowledgement = ack-rfb,
keywords = "automatic differentiation; Fortran 90; global
optimization; nonlinear algebraic systems; symbolic
computation",
subject = "D.3.3 [Programming Languages]: Language Constructs;
G.1.5 [Numerical Analysis]: Roots of Nonlinear
Equations; G.1.6 [Numerical Analysis]: Optimization;
G.4 [Mathematics of Computing]: Mathematical Software",
}
@Article{Dongarra:1995:SDX,
author = "Jack Dongarra and Tom Rowan and Reed Wade",
title = "Software Distribution using {XNETLIB}",
journal = j-TOMS,
volume = "21",
number = "1",
pages = "79--88",
month = mar,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/200979.200995",
ISSN = "0098-3500",
bibdate = "Tue Mar 14 16:17:18 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-1/p79-dongarra/",
acknowledgement = ack-rfb,
keywords = "Netlib; software repositories",
subject = "C.2.3 [Computer-Communication Networks]: Network
Operations -- public networks; D.2.2 [Software
Engineering]: Tools and Techniques -- software
libraries; user interfaces; D.2.7 [Software
Engineering]: Distribution and Maintenance --
documentation; portability; G.1.0 [Numerical Analysis]:
General -- numerical algorithms; G.4 [Mathematics of
Computing]: Mathematical Software -- portability; H.3.0
[Information Systems Applications]: Communications
Applications; H.3.3 [Information Storage and
Retrieval]: Information Search and Retrieval -- search
process; selection process; H.3.5 [Information Storage
and Retrieval]: Online Information Services -- databank
sharing; H.5.2 [Information Interfaces and
Presentation]: User Interfaces -- windowing systems;
K.6.3 [Management of Computing and Information
Systems]: Software Management -- software development;
software maintenance; software selection",
}
@Article{Grosse:1995:RM,
author = "Eric Grosse",
title = "Repository Mirroring",
journal = j-TOMS,
volume = "21",
number = "1",
pages = "89--97",
month = mar,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/200979.201000",
ISSN = "0098-3500",
bibdate = "Tue Mar 14 16:17:20 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-1/p89-grosse/",
acknowledgement = ack-rfb,
keywords = "C.2.4 [Computer-Communication Networks]: Distributed
Systems -- distributed databases",
subject = "archives; checksum; distributed administration;
electronic distribution; ftp",
}
@Article{Demetriou:1995:ALF,
author = "I. C. Demetriou",
title = "{Algorithm 742}: {L2CXFT}: {A Fortran} Subroutine for
Least Squares Data Fitting with Nonnegative Second
Divided Differences",
journal = j-TOMS,
volume = "21",
number = "1",
pages = "98--110",
month = mar,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/200979.201039",
ISSN = "0098-3500",
bibdate = "Tue Mar 14 16:17:22 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-1/p98-demetriou/",
acknowledgement = ack-rfb,
keywords = "B-splines; convex approximation; data fitting; divided
difference",
subject = "G.1.2 [Numerical Analysis]: Approximation -- least
squares approximation; G.1.6 [Numerical Analysis]:
Optimization -- quadratic programming",
}
@Article{Weber:1995:AIG,
author = "Kenneth Weber",
title = "The Accelerated Integer {GCD} Algorithm",
journal = j-TOMS,
volume = "21",
number = "1",
pages = "111--122",
month = mar,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/200979.201042",
ISSN = "0098-3500",
MRclass = "68Q20 (68M07)",
MRnumber = "96h:68084",
bibdate = "Tue Mar 14 16:17:23 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-1/p111-weber/",
acknowledgement = ack-rfb,
keywords = "GCD; integer greatest common divisor; number-theoretic
computations",
subject = "F.2.1 [Analysis of Algorithms and Problem Complexity]:
Numerical Algorithms and Problems",
}
@Article{Bongartz:1995:CCU,
author = "I. Bongartz and A. R. Conn and Nick Gould and Ph.L.
Toint",
title = "{CUTE}: Constrained and Unconstrained Testing
Environment",
journal = j-TOMS,
volume = "21",
number = "1",
pages = "123--160",
month = mar,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/200979.201043",
ISSN = "0098-3500",
bibdate = "Tue Mar 14 16:17:24 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-1/p123-bongartz/",
acknowledgement = ack-rfb,
subject = "D.2.2 [Software Engineering]: Tools and Techniques --
modules and interfaces; G.1.6 [ Numerical Analysis]:
Optimization -- constrained",
}
@Article{Barry:1995:RVW,
author = "D. A. Barry and P. J. Culligan-Hensley and S. J.
Barry",
title = "Real Values of the {W}-Function",
journal = j-TOMS,
volume = "21",
number = "2",
pages = "161--171",
month = jun,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/203082.203084",
ISSN = "0098-3500",
MRclass = "65D20",
MRnumber = "1 342 353",
bibdate = "Tue Oct 10 15:50:28 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-2/p161-barry/",
acknowledgement = ack-rfb,
keywords = "W-function",
subject = "G.1.2 [Numerical Analysis]: Approximation -- nonlinear
approximation; G.1.5 [Numerical Analysis]: Roots of
Nonlinear Equations-iterative methods",
}
@Article{Barry:1995:AWF,
author = "D. A. Barry and S. J. Barry and P. J.
Culligan-Hensley",
title = "{Algorithm 743}: {WAPR}: {A Fortran} Routine for
Calculating Real Values of the {W}-Function",
journal = j-TOMS,
volume = "21",
number = "2",
pages = "172--181",
month = jun,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/203082.203088",
ISSN = "0098-3500",
MRclass = "65D20",
MRnumber = "1 342 354",
bibdate = "Tue Oct 10 15:50:30 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-2/p172-barry/",
acknowledgement = ack-rfb,
keywords = "W-function",
subject = "G.1.2 [Numerical Analysis]: Approximation -- nonlinear
approximation; G.1.5 [Numerical Analysis]: Roots of
Nonlinear Equations -- iterative methods",
}
@Article{Hormann:1995:RTS,
author = "Wolfgang H{\"o}rmann",
title = "A Rejection Technique for Sampling from {T}-Concave
Distributions",
journal = j-TOMS,
volume = "21",
number = "2",
pages = "182--193",
month = jun,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/203082.203089",
ISSN = "0098-3500",
MRclass = "65D20",
MRnumber = "96b:65018",
bibdate = "Tue Oct 10 15:50:31 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-2/p182-hormann/",
acknowledgement = ack-rfb,
keywords = "Log-concave distributions; rejection method; universal
method",
subject = "G.3 [Probability and Statistics]: Random Number
Generation",
}
@Article{Rabinowitz:1995:ASA,
author = "F. Michael Rabinowitz",
title = "{Algorithm 744}: {A} Stochastic Algorithm for Global
Optimization with Constraints",
journal = j-TOMS,
volume = "21",
number = "2",
pages = "194--213",
month = jun,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/203082.203090",
ISSN = "0098-3500",
bibdate = "Tue Oct 10 15:50:33 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-2/p194-rabinowitz/",
acknowledgement = ack-rfb,
keywords = "Constrained optimization; global optimization;
stochastic optimization; test functions",
subject = "G.1.6 [Numerical Analysis]: Optimization -- nonlinear
programming; G.3 [Mathematics of Computing]:
Probability and Statistics -- probabilistic algorithms
(including Monte Carlo); G.4 [Mathematics of
Computing]: Mathematical Software -- certification and
testing",
}
@Article{Goano:1995:ACC,
author = "Michele Goano",
title = "{Algorithm 745}: Computation of the Complete and
Incomplete {Fermi--Dirac} Integral",
journal = j-TOMS,
volume = "21",
number = "3",
pages = "221--232",
month = sep,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/210089.210090",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:19:43 1999",
note = "See remark \cite{Goano:1997:RA7}",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-3/p221-goano/",
acknowledgement = ack-rfb,
keywords = "asymptotic expansions; confluent hypergeometric
functions; convergence acceleration; e[k] transforms;
epsilon algorithm; Euler transformation; Fermi--Dirac
integral; incomplete Fermi--Dirac integral; incomplete
gamma function; Levin's u transform; Riemann's zeta
function",
subject = "G.1.2 [Mathematics of Computing]: Approximation; G.4
[Mathematics of Computing]: Mathematical Software; J.2
[Computer Applications]: Physical Sciences and
Engineering",
}
@Article{Dobmann:1995:APF,
author = "M. Dobmann and M. Liepelt and K. Schittkowski",
title = "{Algorithm 746}: {PCOMP}: {A Fortran} Code for
Automatic Differentiation",
journal = j-TOMS,
volume = "21",
number = "3",
pages = "233--266",
month = sep,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/210089.210091",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-3/p233-dobmann/",
acknowledgement = ack-rfb,
keywords = "automatic differentiation; forward accumulation;
reverse accumulation",
subject = "D.1.2 [Programming Techniques]: Automatic Programming;
D.3.4 [Programming Languages]: Processors - code
generation; G.1.4 [Numerical Analysis]: Quadrature and
Numerical Differentiation; G.4 [Mathematics of
Computing]: Mathematical Software",
}
@Article{Sullivan:1995:NAU,
author = "Stephen J. Sullivan and Benjamin G. Zorn",
title = "Numerical Analysis Using Nonprocedural Paradigms",
journal = j-TOMS,
volume = "21",
number = "3",
pages = "267--298",
month = sep,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/210089.210093",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-3/p267-sullivan/",
acknowledgement = ack-rfb,
keywords = "benchmarks; experimental languages; Gaussian
elimination; linear algebra; programming languages;
sparse matrices",
subject = "G.1 [Mathematics of Computing]: Numerical Analysis",
}
@Article{Miminis:1995:AFS,
author = "George Miminis and Helmut Roth",
title = "{Algorithm 747}: {A Fortran} Subroutine to Solve the
Eigenvalue Assignment Problem for Multiinput Systems
Using State Feedback",
journal = j-TOMS,
volume = "21",
number = "3",
pages = "299--326",
month = sep,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/210089.210094",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-3/p299-miminis/",
acknowledgement = ack-rfb,
keywords = "deflation; double steps; eigenvalue assignment;
numerical efficiency; pole assignment",
subject = "F.2.1 [Analysis of Algorithms and Problem Complexity]:
Numerical Algorithms and Problems - computations on
matrices; G.1.0 [Numerical Analysis]: General -
numerical algorithms; G.1.3 [Numerical Analysis]:
Numerical Linear Algebra - eigenvalues; J.2 [Computer
Applications]: Physical Sciences and Engineering -
aerospace; engineering; J.4 [Computer Applications]:
Social and Behavioral Sciences - economics",
}
@Article{Alefeld:1995:AEZ,
author = "G. E. Alefeld and F. A. Potra and Yixun Shi",
title = "{Algorithm 748}: Enclosing Zeros of Continuous
Functions",
journal = j-TOMS,
volume = "21",
number = "3",
pages = "327--344",
month = sep,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/210089.210111",
ISSN = "0098-3500",
bibdate = "Thu Sep 28 16:39:05 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-3/p327-alefeld/",
keywords = "algorithms; asymptotic efficiency index; enclosing
method; inverse cubic interpolation; quadratic
interpolation; simple root; theory",
subject = "G.1.0 [Numerical Analysis]: General -- numerical
algorithms; G.1.5 [Numerical Analysis]: Roots of
Nonlinear Equations -- convergence; iterative methods",
}
@Article{Rizzardi:1995:MTM,
author = "Mariarosaria Rizzardi",
title = "A Modification of {Talbot}'s Method for the
Simultaneous Approximation of Several Values of the
Inverse {Laplace} Transform",
journal = j-TOMS,
volume = "21",
number = "4",
pages = "347--371",
month = dec,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/212066.212068",
ISSN = "0098-3500",
MRclass = "65R10",
MRnumber = "96k:65084",
bibdate = "Sat Feb 10 08:48:51 1996",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-4/p347-rizzardi/",
acknowledgement = ack-rfb,
keywords = "complex inversion formula; inverse Laplace transform;
numerical method; Talbot; trapezoidal rule",
reviewer = "A. J. Rodrigues",
subject = "G.1.0 [Numerical Analysis]: General -- error analysis;
numerical algorithms; G.1.2 [Numerical Analysis]:
Approximation -- nonlinear approximation; G.1.4
[Numerical Analysis]: Quadrature and Numerical
Differentiation -- equal interval integration; error
analysis; G.1.9 [Numerical Analysis]: Integral
Equations -- Fredholm equations",
}
@Article{Sherlock:1995:AFD,
author = "Barry G. Sherlock and Donald M. Monro",
title = "{Algorithm 749}: Fast Discrete Cosine Transform",
journal = j-TOMS,
volume = "21",
number = "4",
pages = "372--378",
month = dec,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/212066.212071",
ISSN = "0098-3500",
bibdate = "Tue Nov 14 09:58:14 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-4/p372-sherlock/",
acknowledgement = ack-rfb,
keywords = "data compression; discrete cosine transform; fast
transform",
subject = "D.3.2 [Programming Languages]: Language
Classifications -- Fortran; E.4 [Data]: Coding and
Information Theory -- data compaction and compression;
F.2.1 [Analysis of Algorithms and Problem Complexity]:
Numerical Algorithms and Problems; G.4 [Mathematics of
Computing]: Mathematical Software; I.4.2 [Image
Processing]: Compression",
}
@Article{Bailey:1995:FBM,
author = "David H. Bailey",
title = "A {Fortran-90} Based Multiprecision System",
journal = j-TOMS,
volume = "21",
number = "4",
pages = "379--387",
month = dec,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/212066.212075",
ISSN = "0098-3500",
bibdate = "Thu Apr 29 15:15:44 1999",
note = "See also extension to complex arithmetic
\cite{Smith:1998:AMP}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-4/p379-bailey/",
acknowledgement = ack-rfb,
keywords = "arithmetic; Fortran 90; multiprecision",
subject = "D.3.2 [Programming Languages]: Language
Classifications -- Fortran 90; D.3.4 [Programming
Languages]: Processors; G.1.0 [Numerical Analysis]:
General; G.1.2 [Numerical Analysis]: Approximation",
}
@Article{Amos:1995:RAP,
author = "D. E. Amos",
title = "A Remark on {Algorithm 644}: {A} Portable Package for
{Bessel} Functions of a Complex Argument and
Nonnegative Order",
journal = j-TOMS,
volume = "21",
number = "4",
pages = "388--393",
month = dec,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/212066.212078",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:24:54 1999",
note = "See
\cite{Amos:1986:APP,Amos:1990:RPP,Kodama:2007:RA}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-4/p388-amos/",
acknowledgement = ack-rfb,
keywords = "complex Airy Functions; complex Bessel functions;
derivatives of Airy functions; H, I, J, K, and Y Bessel
functions; log gamma function",
subject = "G.1.0 [Numerical Analysis]: General -- numerical
algorithms; G.1.m [Numerical Analysis]: Miscellaneous;
G.m [Mathematics of Computing]: Miscellaneous",
}
@Article{Carpaneto:1995:ESL,
author = "G. Carpaneto and M. Dell'Amico and P. Toth",
title = "Exact Solution of Large Scale Asymmetric Travelling
Salesman Problems",
journal = j-TOMS,
volume = "21",
number = "4",
pages = "394--409",
month = dec,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/212066.212081",
ISSN = "0098-3500",
MRclass = "90C27 (90C35)",
MRnumber = "96m:90062a",
bibdate = "Tue Nov 14 09:58:01 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-4/p394-carpaneto/",
acknowledgement = ack-rfb,
keywords = "assignment problem; asymmetric traveling salesman
problem; branch and bound; reduction procedure; subtour
elimination",
reviewer = "N. I. Yanev",
subject = "G.2.1 [Discrete Mathematics]: Combinatorics --
combinatorial algorithms; G.2.2 [Discrete Mathematics]:
Graph Theory -- graph algorithms; path and circuit
problems",
}
@Article{Carpaneto:1995:ACS,
author = "G. Carpaneto and M. Dell'Amico and P. Toth",
title = "{Algorithm 750}: {CDT}: {A} Subroutine for the Exact
Solution of Large-Scale Asymmetric Travelling Salesman
Problems",
journal = j-TOMS,
volume = "21",
number = "4",
pages = "410--415",
month = dec,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/212066.212084",
ISSN = "0098-3500",
MRclass = "90C27 (90C35)",
MRnumber = "96m:90062b",
bibdate = "Tue Nov 14 09:57:58 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-4/p410-carpaneto/",
acknowledgement = ack-rfb,
keywords = "assignment problem; asymmetric traveling salesman
problem; branch and bound; reduction procedure; subtour
elimination",
reviewer = "N. I. Yanev",
subject = "D.3.2 [Programming Languages]: Language
classifications -- Fortran; G.2.1 [Discrete
Mathematics]: Combinatorics -- combinatorial
algorithms; G.2.2 [Discrete Mathematics]: Graph Theory
-- graph algorithms; path and circuit problems",
}
@Article{Doman:1995:SAP,
author = "B. G. S. Doman and C. J. Pursglove and W. M. Coen",
title = "A Set of {Ada} Packages for High Precision
Calculations",
journal = j-TOMS,
volume = "21",
number = "4",
pages = "416--431",
month = dec,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/212066.212087",
ISSN = "0098-3500",
bibdate = "Tue Nov 14 09:57:55 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-4/p416-doman/",
acknowledgement = ack-rfb,
keywords = "accuracy; Ada; arithmetic elementary-function
evaluation; floating-point; multiple-precision portable
software",
subject = "G.1.0 [Numerical Analysis]: General -- computer
arithmetic; G.1.2 [Numerical Analysis]: Approximation
-- elementary function approximation; G.4 [Mathematics
of Computing]: Mathematical Software -- algorithm
analysis; efficiency; portability",
}
@Article{Scott:1995:ACC,
author = "Jennifer A. Scott",
title = "An {Arnoldi} Code for Computing Selected Eigenvalues
of Sparse, Real, Unsymmetric Matrices",
journal = j-TOMS,
volume = "21",
number = "4",
pages = "432--475",
month = dec,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/212066.212091",
ISSN = "0098-3500",
MRclass = "65-04 (65F15 65F50)",
MRnumber = "1 364 698",
bibdate = "Tue Nov 14 09:57:52 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-4/p432-scott/",
acknowledgement = ack-rfb,
keyword = "Arnoldi's method; Chebychev acceleration; large sparse
matrices; real unsymmetric matrices",
subject = "G.1.0 [Numerical Analysis]: General -- numerical
algorithms; G.1.3 [Numerical Analysis]: Numerical
Linear Algebra -- eigenvalues",
}
@Article{Kaufman:1995:CMD,
author = "Linda Kaufman",
title = "Computing the ${MDM}^{T}$ decomposition",
journal = j-TOMS,
volume = "21",
number = "4",
pages = "476--489",
month = dec,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/212066.212092",
ISSN = "0098-3500",
bibdate = "Tue Nov 14 09:57:49 1995",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-4/p476-kaufman/",
acknowledgement = ack-rfb,
keywords = "block factorizations; LAPACK; linear systems (direct
methods); symmetric indefinite",
subject = "G.1.3 [Numerical Analysis]: Numerical Linear Algebra
-- linear systems (direct and iterative methods); G.4
[Mathematics of Computing]: Mathematical Software --
efficiency",
}
@Article{Duff:1995:CCS,
author = "Iain S. Duff and Jennifer A. Scott",
title = "Corrigendum: Computing Selected Eigenvalues of Sparse
Unsymmetric Matrices Using Subspace Iteration",
journal = j-TOMS,
volume = "21",
number = "4",
pages = "490--490",
month = dec,
year = "1995",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/212066.215254",
ISSN = "0098-3500",
bibdate = "Tue Nov 14 09:57:46 1995",
note = "See \cite{Duff:1993:CSE}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1995-21-4/p490-duff/",
acknowledgement = ack-rfb,
}
@Article{Renka:1996:ATC,
author = "R. J. Renka",
title = "{Algorithm 751}: {TRIPACK}: a constrained
two-dimensional {Delaunay} triangulation package",
journal = j-TOMS,
volume = "22",
number = "1",
pages = "1--8",
month = mar,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/225545.225546;
http://www.acm.org/pubs/citations/journals/toms/1996-22-1/p1-renka/",
ISSN = "0098-3500",
bibdate = "Thu Jul 15 18:58:33 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
note = "See remark \cite{Renka:1999:RAa}.",
abstract = "TRIPACK is a Fortran 77 software package that employs
an incremental algorithm to construct a constrained
Delaunay triangulation of a set of points in the plane
(nodes). The triangulation covers the convex hull of
the nodes but may include polygonal constraint regions
whose triangles are distinguishable from those in the
remainder of the triangulation. This effectively allows
for a nonconvex or multiply connected triangulation
(the complement of the union of constraint regions)
while retaining the efficiency of searching and
updating a convex triangulation. The package provides a
wide range of capabilities including an efficient means
of updating the triangulation with nodal additions or
deletions. For $N$ nodes, the storage requirement is
$13N$ integer storage locations in addition to the $2N$
nodal coordinates.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN. {\bf G.1.2}: Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.
{\bf G.1.1}: Mathematics of Computing, NUMERICAL
ANALYSIS, Interpolation.",
}
@Article{Renka:1996:ASS,
author = "R. J. Renka",
title = "{Algorithm 752}: {SRFPACK}: software for scattered
data fitting with a constrained surface under tension",
journal = j-TOMS,
volume = "22",
number = "1",
pages = "9--17",
month = mar,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/225545.225547;
http://www.acm.org/pubs/citations/journals/toms/1996-22-1/p9-renka/",
ISSN = "0098-3500",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
note = "See remark \cite{Renka:1999:RAb}.",
abstract = "SRFPACK is a Fortran 77 software package that
constructs a smooth interpolatory or approximating
surface to data values associated with arbitrarily
distributed points in the plane. It employs
automatically selected tension factors to preserve
shape properties of the data and to avoid overshoot and
undershoot associated with steep gradients. The domain
of the fitting function may be nonconvex or multiply
connected, and the surface may be constrained to have
discontinuous value or derivative across a
user-specified curve representing, for example, a
geological fault line. Although triangle based, the
method provides a means of avoiding the inaccuracy
associated with long thin triangles on the boundary of
the convex hull of the data abscissae.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN. {\bf G.1.2}: Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE.
{\bf G.1.1}: Mathematics of Computing, NUMERICAL
ANALYSIS, Interpolation.",
}
@Article{Buis:1996:EVP,
author = "Paul E. Buis and Wayne R. Dyksen",
title = "Efficient vector and parallel manipulation of tensor
products",
journal = j-TOMS,
volume = "22",
number = "1",
pages = "18--23",
month = mar,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/225545.225548",
ISSN = "0098-3500",
MRclass = "68Q40",
MRnumber = "1 383 183",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-1/p18-buis/",
abstract = "We present efficient vector and parallel methods for
manipulating tensor products of matrices. We consider
both computing the matrix-vector product $(A_{1}
\otimes \cdots \otimes A_{K})x$ and solving the system
of linear equations $(A_{1} \otimes \cdots \otimes
A_{K})x=b$. The methods described are independent of
$K$. We accompany this article with a companion
algorithm which describes an implementation of a
complete set of tensor product routines based on LAPACK
and the Level 2 and 3 Basic Linear Algebra Subprograms
(BLAS) which provide vectorization and
parallelization.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra. {\bf D.1.3}:
Software, PROGRAMMING TECHNIQUES, Concurrent
Programming. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE.",
}
@Article{Buis:1996:ATL,
author = "Paul E. Buis and Wayne R. Dyksen",
title = "{Algorithm 753}: {TENPACK}: {A} {LAPACK-based} library
for the computer manipulation of tensor products",
journal = j-TOMS,
volume = "22",
number = "1",
pages = "24--29",
month = mar,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/225545.225549",
ISSN = "0098-3500",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-1/p24-buis/",
abstract = "This article presents the interface of an
implementation of methods to manipulate equations of
this form $A_{1} \otimes \cdots \otimes A_{m}$ where
the $A_{i}$ are matrices. The methods described are
independent of m. The code is based on LAPACK and the
BLAS and supports virtually all of the matrix formats
supported by those packages. Timings of the
implementation on several machines are also given.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\bf D.1.3}: Software, PROGRAMMING TECHNIQUES,
Concurrent Programming. {\bf D.3.2}: Software,
PROGRAMMING LANGUAGES, Language Classifications,
FORTRAN. {\bf G.1.3}: Mathematics of Computing,
NUMERICAL ANALYSIS, Numerical Linear Algebra. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE.",
}
@Article{Duff:1996:DNF,
author = "I. S. Duff and J. A. Scott",
title = "The design of a new frontal code for solving sparse,
unsymmetric systems",
journal = j-TOMS,
volume = "22",
number = "1",
pages = "30--45",
month = mar,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/225545.225550",
ISSN = "0098-3500",
MRclass = "65-04 (65F50)",
MRnumber = "1 383 184",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-1/p30-duff/",
abstract = "We describe the design, implementation, and
performance of a frontal code for the solution of
large, sparse, unsymmetric systems of linear equations.
The resulting software package, MA42, is included in
Release 11 of the Harwell Subroutine Library and is
intended to supersede the earlier MA32 package. We
discuss in detail the extensive use of higher-level
BLAS kernels within MA42 and illustrate the performance
on a range of practical problems on a CRAY Y-MP, an IBM
3090, and an IBM RISC System/6000. We examine extending
the frontal solution scheme to use multiple fronts to
allow MA42 to be run in parallel. We indicate some
directions for future development.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra. {\bf G.1.0}:
Mathematics of Computing, NUMERICAL ANALYSIS, General,
Numerical algorithms. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE.",
}
@Article{Freund:1996:QPQ,
author = "Roland W. Freund and No{\"e}l M. Nachtigal",
title = "{QMRPACK}: a package of {QMR} algorithms",
journal = j-TOMS,
volume = "22",
number = "1",
pages = "46--77",
month = mar,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/225545.225551",
ISSN = "0098-3500",
MRclass = "65-04 (65F10)",
MRnumber = "1 383 185",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-1/p46-freund/",
abstract = "The quasi-minimal residual (QMR) algorithm is a
Krylov-subspace method for the iterative solution of
large non-Hermitian linear systems. QMR is based on the
look-ahead Lanczos algorithm that, by itself, can also
be used to obtain approximate eigenvalues of large
non-Hermitian matrices. QMRPACK is a software package
with Fortran 77 implementations of the QMR algorithm
and variants thereof, and of the three-term and coupled
two-term look-ahead Lanczos algorithms. In this
article, we discuss some of the features of the
algorithms in the package, with emphasis on the issues
related to using the codes. We describe in some detail
two routines from the package, one for the solution of
linear systems and the other for the computation of
eigenvalue approximations. We present some numerical
examples from applications where QMRPACK was used.",
acknowledgement = ack-nhfb,
keywords = "algorithms; reliability; theory",
subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra, Linear systems
(direct and iterative methods). {\bf D.3.2}: Software,
PROGRAMMING LANGUAGES, Language Classifications,
FORTRAN. {\bf F.2.1}: Theory of Computation, ANALYSIS
OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical
Algorithms and Problems, Computations on matrices. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE,
Reliability and robustness. {\bf G.1.3}: Mathematics of
Computing, NUMERICAL ANALYSIS, Numerical Linear
Algebra, Eigenvalues. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, Algorithm analysis.
{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE, Efficiency.",
}
@Article{Kaagstrom:1996:LAS,
author = "Bo K{\aa}gstr{\"o}m and Peter Poromaa",
title = "{LAPACK-style} algorithms and software for solving the
generalized {Sylvester} equation and estimating the
separation between regular matrix pairs",
journal = j-TOMS,
volume = "22",
number = "1",
pages = "78--103",
month = mar,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/225545.225552",
ISSN = "0098-3500",
MRclass = "65-04 (65F30)",
MRnumber = "1 383 186",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-1/p78-kagstrom/",
abstract = "Robust and fast software to solve the generalized
Sylvester equation ($AR - LB = C, DR - LE = F$) for
unknowns $R$ and $L$ is presented. This special linear
system of equations, and its transpose, arises in
computing error bounds for computed eigenvalues and
eigenspaces of the generalized eigenvalue problem
$S-\lambda T$, in computing deflating subspaces of the
same problem, and in computing certain decompositions
of transfer matrices arising in control theory. Our
contributions are twofold. First, we reorganize the
standard algorithm for this problem to use Level 3 BLAS
operations, like matrix multiplication, in its inner
loop. This speeds up the algorithm by a factor of 9 on
an IBM RS6000. Second, we develop and compare several
condition estimation algorithms, which inexpensively
but accurately estimate the sensitivity of the solution
of this linear system.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE, Algorithm analysis. {\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, Reliability and robustness. {\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, Eigenvalues. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, Efficiency. {\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, Matrix inversion.",
}
@Article{Resende:1996:AFS,
author = "Mauricio G. C. Resende and Panos M. Pardalos and Yong
Li",
title = "{Algorithm 754}: {Fortran} subroutines for approximate
solution of dense quadratic assignment problems using
{GRASP}",
journal = j-TOMS,
volume = "22",
number = "1",
pages = "104--118",
month = mar,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/225545.225553",
ISSN = "0098-3500",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-1/p104-resende/",
abstract = "In the NP-complete quadratic assignment problem (QAP),
$n$ facilities are to be assigned to $n$ sites at
minimum cost. The contribution of assigning facility
$i$ to site $k$ and facility $j$ to site $l$ to the
total cost is $f_{ij} - d_{kl}$, where $f_{ij}$ is the
flow between facilities $i$ and $j$, and $d_{kl}$ is
the distance between sites $k$ and $l$. Only very small
($n\le20$) instances of the QAP have been solved
exactly, and heuristics are therefore used to produce
approximate solutions. This article describes a set of
Fortran subroutines to find approximate solutions to
dense quadratic assignment problems, having at least
one symmetric flow or distance matrix. A greedy,
randomized, adaptive search procedure (GRASP) is used
to produce the solutions. The design and implementation
of the code are described in detail, and extensive
computational experiments are reported, illustrating
solution quality as a function of running time.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL
ANALYSIS, Optimization, Integer programming. {\bf
D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN. {\bf G.2.1}: Mathematics of
Computing, DISCRETE MATHEMATICS, Combinatorics,
Combinatorial algorithms.",
}
@Article{Wallace:1996:FPG,
author = "C. S. Wallace",
title = "Fast pseudorandom generators for normal and
exponential variates",
journal = j-TOMS,
volume = "22",
number = "1",
pages = "119--127",
month = mar,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/225545.225554",
ISSN = "0098-3500",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-1/p119-wallace/",
abstract = "Fast algorithms for generating pseudorandom numbers
from the unit-normal and unit-exponential distributions
are described. The methods are unusual in that they do
not rely on a source of uniform random numbers, but
generate the target distributions directly by using
their maximal-entropy properties. The algorithms are
fast. The normal generator is faster than the commonly
used Unix library uniform generator ``random'' when the
latter is used to yield real values. Their statistical
properties seem satisfactory, but only a limited suite
of tests has been conducted. They are written in C and
as written assume 32-bit integer arithmetic. The code
is publicly available as C source and can easily be
adopted for longer word lengths and/or vector
processing.",
acknowledgement = ack-nhfb,
keywords = "algorithms; design; performance",
subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND
STATISTICS, Random number generation. {\bf G.3}:
Mathematics of Computing, PROBABILITY AND STATISTICS,
Statistical computing.",
}
@Article{Griewank:1996:AAP,
author = "Andreas Griewank and David Juedes and Jean Utke",
title = "{Algorithm 755}: {ADOL-C}: a package for the automatic
differentiation of algorithms written in {C\slash
C++}",
journal = j-TOMS,
volume = "22",
number = "2",
pages = "131--167",
month = jun,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/229473.229474",
ISSN = "0098-3500",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-2/p131-griewank/",
abstract = "The C++ package ADOL-C described here facilitates the
evaluation of first and higher derivatives of vector
functions that are defined by computer programs written
in C or C++. The resulting derivative evaluation
routines may be called from C/C++, Fortran, or any
other language that can be linked with C. The numerical
values of derivative vectors are obtained free of
truncation errors at a small multiple of the run-time
and randomly accessed memory of the given function
evaluation program. Derivative matrices are obtained by
columns or rows. For solution curves defined by
ordinary differential equations, special routines are
provided that evaluate the Taylor coefficient vectors
and their Jacobians with respect to the current state
vector. The derivative calculations involve a possibly
substantial (but always predictable) amount of data
that are accessed strictly sequentially and are
therefore automatically paged out to external files.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\bf G.1.4}: Mathematics of Computing, NUMERICAL
ANALYSIS, Quadrature and Numerical Differentiation.
{\bf I.1.2}: Computing Methodologies, ALGEBRAIC
MANIPULATION, Algorithms, Analysis of algorithms. {\bf
I.1.2}: Computing Methodologies, ALGEBRAIC
MANIPULATION, Algorithms.",
}
@Article{Driscoll:1996:AMT,
author = "Tobin A. Driscoll",
title = "{Algorithm 756}: a {MATLAB} Toolbox for
{Schwarz--Christoffel} mapping",
journal = j-TOMS,
volume = "22",
number = "2",
pages = "168--186",
month = jun,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/229473.229475",
ISSN = "0098-3500",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-2/p168-driscoll/",
abstract = "The Schwarz--Christoffel transformation and its
variations yield formulas for conformal maps from
standard regions to the interiors or exteriors of
possibly unbounded polygons. Computations involving
these maps generally require a computer, and although
the numerical aspects of these transformations have
been studied, there are few software implementations
that are widely available and suited for general use.
The Schwarz--Christoffel Toolbox for MATLAB is a new
implementation of Schwarz--Christoffel formulas for
maps from the disk, half-plane, strip, and rectangle
domains to polygon interiors, and from the disk to
polygon exteriors. The toolbox, written entirely in the
MATLAB script language, exploits the high-level
functions, interactive environment, visualization
tools, and graphical user interface elements supplied
by current versions of MATLAB, and is suitable for use
both as a standalone tool and as a library for
applications written in MATLAB, Fortran, or C. Several
examples and simple applications are presented to
demonstrate the toolbox's capabilities.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.m}: Mathematics of Computing, NUMERICAL
ANALYSIS, Miscellaneous. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, MATLAB. {\bf J.2}:
Computer Applications, PHYSICAL SCIENCES AND
ENGINEERING.",
}
@Article{Duff:1996:DMC,
author = "I. S. Duff and J. K. Reid",
title = "The design of {MA48}: a code for the direct solution
of sparse unsymmetric linear systems of equations",
journal = j-TOMS,
volume = "22",
number = "2",
pages = "187--226",
month = jun,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/229473.229476",
ISSN = "0098-3500",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-2/p187-duff/",
abstract = "We describe the design of a new code for the direct
solution of sparse unsymmetric linear systems of
equations. The new code utilizes a novel restructuring
of the symbolic and numerical phases, which increases
speed and saves storage without sacrifice of numerical
stability. Other features include switching to
full-matrix processing in all phases of the computation
enabling the use of all three levels of BLAS, treatment
of rectangular or rank-deficient matrices, partial
factorization, and integrated facilities for iterative
refinement and error estimation.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\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{Duff:1996:EZD,
author = "I. S. Duff and J. K. Reid",
title = "Exploiting zeros on the diagonal in the direct
solution of indefinite sparse symmetric linear
systems",
journal = j-TOMS,
volume = "22",
number = "2",
pages = "227--257",
month = jun,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/229473.229480",
ISSN = "0098-3500",
MRclass = "65F50",
MRnumber = "1 408 491",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-2/p227-duff/",
abstract = "We describe the design of a new code for the solution
of sparse indefinite symmetric linear systems of
equations. The principal difference between this new
code and earlier work lies in the exploitation of the
additional sparsity available when the matrix has a
significant number of zero diagonal entries. Other new
features have been included to enhance the execution
speed, particularly on vector and parallel machines.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\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{Price:1996:RA,
author = "David T. Price",
title = "Remark on {Algorithm 715}",
journal = j-TOMS,
volume = "22",
number = "2",
pages = "258--258",
month = jun,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/229473.236186",
ISSN = "0098-3500",
note = "See \cite{Cody:1993:ASE}",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-2/p258-price/",
}
@Article{Hull:1996:MBP,
author = "T. E. Hull and R. Mathon",
title = "The mathematical basis and a prototype implementation
of a new polynomial rootfinder with quadratic
convergence",
journal = j-TOMS,
volume = "22",
number = "3",
pages = "261--280",
month = sep,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/232826.232830",
ISSN = "0098-3500",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-3/p261-hull/",
abstract = "Formulas developed originally by Weierstrass have been
used since the 1960s by many others for the
simultaneous determination of all the roots of a
polynomial. Convergence to simple roots is quadratic,
but individual approximations to a multiple root
converge only linearly. However, it is shown here that
the mean of such individual approximations converges
quadratically to that root. This result, along with
some detail about the behavior of such approximations
in the neighborhood of the multiple root, suggests a
new approach to the design of polynomial rootfinders.
It should also be noted that the technique is well
suited to take advantage of a parallel environment.
This article first provides the relevant mathematical
results: a short derivation of the formulas,
convergence proofs, an indication of the behavior near
a multiple root, and some error bounds. It then
provides the outline of an algorithm based on these
results, along with some graphical and numerical
results to illustrate the major theoretical points.
Finally, a new program based on this algorithm, but
with a more efficient way of choosing starting values,
is described and then compared with corresponding
programs from IMSL and NAG with good results. This
program is available from Mathon
(\path=combin@cs.utoronto.ca=).",
acknowledgement = ack-nhfb,
keywords = "algorithms; design",
subject = "{\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.1.5}: Mathematics of
Computing, NUMERICAL ANALYSIS, Roots of Nonlinear
Equations, Convergence. {\bf G.1.5}: Mathematics of
Computing, NUMERICAL ANALYSIS, Roots of Nonlinear
Equations, Error analysis. {\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.",
}
@Article{Sosonkina:1996:NEG,
author = "Maria Sosonkina and Layne T. Watson and David E.
Stewart",
title = "Note on the end game in homotopy zero curve tracking",
journal = j-TOMS,
volume = "22",
number = "3",
pages = "281--287",
month = sep,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/232826.232843",
ISSN = "0098-3500",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-3/p281-sosonkina/",
abstract = "Homotopy algorithms to solve a nonlinear system of
equations $f(x) = 0$ involve tracking the zero curve of
a homotopy map $p(a, \lambda, x)$ from $\lambda = 0$
until $\lambda = 1$. When the algorithm nears or
crosses the hyperplane $\lambda = 1$, an ``end game''
phase is begun to compute the solution *** satisfying
$p(a, \lambda, ***) = f(**) = 0$. This note compares
several end game strategies, including the one
implemented in the normal flow code FIXPNF in the
homotopy software package HOMPACK.",
acknowledgement = ack-nhfb,
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{Macleod:1996:AMS,
author = "Allan J. Macleod",
title = "{Algorithm 757}: {MISCFUN}, a software package to
compute uncommon special functions",
journal = j-TOMS,
volume = "22",
number = "3",
pages = "288--301",
month = sep,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/232826.232846",
ISSN = "0098-3500",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-3/p288-macleod/",
abstract = "MISCFUN (MISCellaneous FUNctions) is a Fortran package
for the evaluation of several special functions, which
are not used often enough to have been included in the
standard libraries or packages. The package uses
Chebyshev expansions as the underlying method of
approximation, with the Chebyshev coefficients given to
20D. A wide variety of functions are included, and the
package is designed so that other functions can be
added in a standard manner.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN. {\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.",
}
@Article{Blom:1996:AVVa,
author = "J. G. Blom and R. A. Trompert and J. G. Verwer",
title = "{Algorithm 758}: {VLUGR2}: a vectorizable
adaptive-grid solver for {PDEs} in {2D}",
journal = j-TOMS,
volume = "22",
number = "3",
pages = "302--328",
month = sep,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/232826.232850",
ISSN = "0098-3500",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-3/p302-blom/",
abstract = "This article deals with an adaptive-grid
finite-difference solver for time-dependent
two-dimensional systems of partial differential
equations. It describes the ANSI Fortran 77 code,
VLUGR2, autovectorizable on the Cray Y-MP, that is
based on this method. The robustness and the efficiency
of the solver, both for vector and scalar processors,
are illustrated by the application of the code to two
example problems arising from a groundwater-flow
model.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN. {\bf G.1.8}: Mathematics of
Computing, NUMERICAL ANALYSIS, Partial Differential
Equations. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE.",
}
@Article{Blom:1996:AVVb,
author = "J. G. Blom and J. G. Verwer",
title = "{Algorithm 759}: {VLUGR3}: a vectorizable
adaptive-grid solver for {PDEs} in {3D} --- Part {II}.
code description",
journal = j-TOMS,
volume = "22",
number = "3",
pages = "329--347",
month = sep,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/232826.232853",
ISSN = "0098-3500",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-3/p329-blom/",
abstract = "This article describes an ANSI Fortran 77 code,
VLUGR3, autovectorizable on the Cray Y-MP, that is
based on an adaptive-grid finite-difference method to
solve time-dependent three-dimensional systems of
partial differential equations.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN. {\bf G.1.8}: Mathematics of
Computing, NUMERICAL ANALYSIS, Partial Differential
Equations. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE.",
}
@Article{Andersen:1996:MSM,
author = "Knud D. Andersen",
title = "A modified {Schur-complement} method for handling
dense columns in interior-point methods for linear
programming",
journal = j-TOMS,
volume = "22",
number = "3",
pages = "348--356",
month = sep,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/232826.232937",
ISSN = "0098-3500",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-3/p348-andersen/",
abstract = "The main computational work in interior-point methods
for linear programming (LP) is to solve a least-squares
problem. The normal equations are often used, but if
the LP constraint matrix contains a nearly dense column
the normal-equations matrix will be nearly dense.
Assuming that the nondense part of the constraint
matrix is of full rank, the Schur complement can be
used to handle dense columns. In this article we
propose a modified Schur-complement method that relaxes
this assumption. Encouraging numerical results are
presented.",
acknowledgement = ack-nhfb,
subject = "{\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{Akima:1996:ARS,
author = "Hiroshi Akima",
title = "{Algorithm 760}: rectangular-grid-data surface fitting
that has the accuracy of a bicubic polynomial",
journal = j-TOMS,
volume = "22",
number = "3",
pages = "357--361",
month = sep,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/232826.232854",
ISSN = "0098-3500",
bibdate = "Sat Aug 31 16:07:02 MDT 1996",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-3/p357-akima/",
abstract = "A local algorithm for smooth surface fitting for
rectangular-grid data has been presented. It has the
accuracy of a bicubic polynomial.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN. {\bf G.1.1}: Mathematics of
Computing, NUMERICAL ANALYSIS, Interpolation. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE.",
}
@Article{Akima:1996:ASS,
author = "Hiroshi Akima",
title = "{Algorithm 761}: scattered-data surface fitting that
has the accuracy of a cubic polynomial",
journal = j-TOMS,
volume = "22",
number = "3",
pages = "362--371",
month = sep,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/232826.232856",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:11:35 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
note = "See remarks \cite{Renka:1998:RA,deTisi:2000:RAS}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-3/p362-akima/",
abstract = "An algorithm for smooth surface fitting for scattered
data has been presented. It has the accuracy of a cubic
polynomial in most cases and is a local, triangle-based
algorithm.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN. {\bf G.1.1}: Mathematics of
Computing, NUMERICAL ANALYSIS, Interpolation. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE.",
}
@Article{Brown:1996:ALL,
author = "Barry W. Brown and Lawrence B. Levy and James Lovato
and Kathy Russell and Floyd M. Spears",
title = "{Algorithm 762}: {LLDRLF}, log-likelihood and some
derivatives for {log-F} models",
journal = j-TOMS,
volume = "22",
number = "3",
pages = "372--382",
month = sep,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/232826.232858",
ISSN = "0098-3500",
bibdate = "Fri Mar 28 11:11:08 2003",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-3/p372-brown/",
abstract = "The flexible statistical models incorporating the
log-F distribution are little used because of numeric
difficulties. We describe a method for calculating the
log-likelihood and two derivatives with respect to the
data argument. Fortran subroutines incorporating these
calculations are provided.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN. {\bf G.1.2}: Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation.",
}
@Article{Kearfott:1996:IFM,
author = "R. Baker Kearfott",
title = "{Algorithm 763}: {INTERVAL\_ARITHMETIC}: {A Fortran
90} Module for an Interval Data Type",
journal = j-TOMS,
volume = "22",
number = "4",
pages = "385--392",
month = dec,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/235815.235816",
ISSN = "0098-3500",
note = "See \cite{Kearfott:1994:AIP}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-4/p385-kearfott/",
abstract = "Interval arithmetic is useful in {\it automatically
verified computation}, that is, in computations in
which the algorithm itself rigorously proves that the
answer must lie within certain bounds. In addition to
rigor, interval arithmetic also provides a simple and
somewhat sharp method of bounding ranges of functions
for global optimization and other tasks. Convenient use
of interval arithmetic requires an interval data type
in the programming language. Although various packages
supply such a data type, previous ones are machine
specific, obsolete, and unsupported, for languages
other than Fortran, or commercial. The Fortran 90
module {INTERVAL\_ARITHMETIC} provides a portable
interval data type in Fortran 90. This data type is
based on two double-precision real Fortran storage
unit. Module {INTERVAL\_ARITHMETIC} uses the Fortran 77
library {INTLIB} (ACM TOMS {Algorithm 737}) as a
supporting library. The module has been employed
extensively in the author's own research.",
acknowledgement = ack-rfb,
keywords = "algorithms, languages",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN 90. {\bf G.1.0}: Mathematics
of Computation, NUMERICAL ANALYSIS, General, Computer
arithmetic, Error analysis, Numerical algorithms.",
}
@Article{Lehoucq:1996:CEU,
author = "R. B. Lehoucq",
title = "The Computation of Elementary Unitary Matrices",
journal = j-TOMS,
volume = "22",
number = "4",
pages = "393--400",
month = dec,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/235815.235817",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-4/p393-lehoucq/",
abstract = "The construction of elementary unitary matrices that
transform a complex vector to a multiple of $e_1$, the
first column of the identity matrix, is studied. We
present four variants and their software
implementation, including a discussion on the {LAPACK}
subroutine {CLARFG}. Comparisons are also given.",
acknowledgement = ack-rfb,
keywords = "algorithms",
subject = "{\bf F.2}: 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. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE, Algorithm analysis.",
}
@Article{Butcher:1996:DMS,
author = "J. C. Butcher and J. R. Cash and M. T. Diamantakis",
title = "{DESI} Methods for Stiff Initial Value Problems",
journal = j-TOMS,
volume = "22",
number = "4",
pages = "401--422",
month = dec,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/235815.235818",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-4/p401-butcher/",
abstract = "Recently, the so-called DESI (diagonally extended
singly implicit) {Runge}-{Kutta} methods were
introduced to overcome some of the limitations of
singly implicit methods. Preliminary experiments have
shown that these methods are usually more efficient
than the standard singly implicit {Runge}-{Kutta}
(SIRK) methods and, in many cases, are competitive with
backward differentiation formulae (BDF). This article
presents an algorithm for determining the full
coefficient matrix from the stability function, which
is already chosen to make the method {A}-stable.
Because of their unconventional nature, DESI methods
have to be implemented in a special way. In particular,
the effectiveness of these methods depends heavily on
how the starting values are chosen for the stage
iterations. These and other implementation questions
are discussed in detail, and the design choices we have
made form the basis of an experimental code for the
solution of stiff problems by DESI methods. We present
here a small subset of the numerical results obtained
with our code. Many of these results are quite
satisfactory and suggest that DESI methods have a
useful role in the solution of this type of problem.",
acknowledgement = ack-rfb,
subject = "{\bf G.1}: Mathematics of Computing, NUMERICAL
ANALYSIS. {\bf G.1.7}: Mathematics of Computing,
ORDINARY DIFFERENTIAL EQUATIONS, Initial value
problems, Stiff equations.",
}
@Article{Eastham:1996:USP,
author = "Michael S. P. Eastham and Charles T. Fulton and Steven
Pruess",
title = "Using the {SLEDGE} Package on {Sturm--Liouville}
Problems Having Nonempty Essential Spectrum",
journal = j-TOMS,
volume = "22",
number = "4",
pages = "423--446",
month = dec,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/235815.235819",
ISSN = "0098-3500",
bibdate = "Sat Oct 24 15:44:41 1998",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-4/p423-eastham/",
abstract = "We describe the performance of the Sturn-Liouville
software package SLEDGE on a variety of problems having
continuous spectra. The code's output is shown to be in
good accord with a wide range of known theoretical
results.",
acknowledgement = ack-rfb,
keywords = "algorithms, performance",
subject = "{\bf G.1.7}: Mathematics of Computing, ORDINARY
DIFFERENTIAL EQUATIONS, Boundary value problems. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE,
Algorithm analysis.",
}
@Article{Weerawarana:1996:PKB,
author = "Sanjiva Weerawarana and Elias N. Houstis and John R.
Rice and Anupam Joshi and Catherine E. Houstis",
title = "{PYTHIA}: {A} Knowledge Based System for Intelligent
Scientific Computing",
journal = j-TOMS,
volume = "22",
number = "4",
pages = "447--468",
month = dec,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/235815.235820",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-4/p447-weerawarana/",
abstract = "Problem-solving Environments (PSEs) interact with the
user in a language ``natural'' to the associated
discipline, and they provide a high-level abstraction
of the underlying, computationally complex model. The
knowledge-based system PYTHIA addresses the problem of
{\tt (parameter, algorithm)} pair selection within a
scientific computing domain assuming some minimum
user-specified computational objectives and some
characteristics of the given problem. PYTHIA's
framework and methodology are general and applicable to
any class of scientific problems and solvers. PYTHIA is
applied in the context of Parallel ELLPACK where there
are many alternatives for the numerical solution of
elliptic partial differential equations (PDEs). PYTHIA
matches the characteristics of the given problem with
those of PDEs in an existing problem population and
then uses performance profiles of the various solvers
to select the appropriate method given user-specified
error and solution time bounds. The profiles are
automatically generated for each solver of the Parallel
ELLPACK library.",
acknowledgement = ack-rfb,
keywords = "algorithms, performance",
subject = "{\bf G.1.8}: Mathematics of Computing, NUMERICAL
ANALYSIS, Partial Differential Equations. {\bf I.2.1}:
Computing Methodologies, ARTIFICIAL INTELLIGIENCE,
Applications and expert systems.",
}
@Article{Barber:1996:QAC,
author = "C. Bradford Barber and David P. Dobkin and Hannu
Huhdanpaa",
title = "The Quickhull Algorithm for Convex Hulls",
journal = j-TOMS,
volume = "22",
number = "4",
pages = "469--483",
month = dec,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/235815.235821",
ISSN = "0098-3500",
bibdate = "Thu Nov 8 14:50:36 2007",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-4/p469-barber/",
abstract = "The convex hull of a set of points is the smallest
convex set that contains the points. This article
presents a practical convex hull algorithm that
combines the two-dimensional Quickhull Algorithm with
the general-dimensional Beneath-Beyond Algorithm. It is
similar to the randomized, incremental algorithms for
convex hull and Delaunay triangulation. We provide
empirical evidence that the algorithm runs faster when
the input contains nonextreme points and that it uses
less memory. Computational geometry algorithms have
traditionally assumed that input sets are well behaved.
When an algorithm is implemented with floating-point
arithmetic, this assumption can lead to serious errors.
We briefly describe a solution to this problem when
computing the convex hull in two, three, or four
dimensions. The output is a set of ``thick'' facets
that contain all possible exact convex hulls of the
input. A variation is effective in five or more
dimensions.",
acknowledgement = ack-rfb,
keywords = "algorithms, reliability",
subject = "{\bf I.3.5}: Computing Methodologies, COMPUTER
GRAPHICS, Computational Geometry and Object Modeling,
Geometric algorithms, languages and systems.",
}
@Article{Sarkar:1996:CAM,
author = "T. K. Sarkar",
title = "A Composition-Alias Method for Generating Gamma
Variates with Shape Parameter Greater than 1",
journal = j-TOMS,
volume = "22",
number = "4",
pages = "484--492",
month = dec,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/235815.235822",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-4/p484-sarkar/",
abstract = "In this article the author describes a procedure for
generating gamma variates with shape parameter $> 1$.
Given a supply of ``good'' uniform $(0,1)$ variates,
the procedure makes use of composition method, squeeze
method, and aliasing to generate gamma variates.
Comparison with existing methods shows that the
author's method is faster in terms of computer time and
uses a smaller number of uniform $(0,1)$ variates. The
method is also statistically exact.",
acknowledgement = ack-rfb,
keywords = "algorithms, theory",
subject = "{\bf G.3}: Mathematics of Computing, PROBABILITY AND
STATISTICS. {\bf I.6.1}: Computing Methodologies,
SIMULATION AND MODELING, Simulation Theory.",
}
@Article{Koenker:1996:RBC,
author = "Roger W. Koenker and Pin T. Ng",
title = "A Remark on {Bartels} and {Conn}'s Linearly
Constrained, Discrete $l_1$ Problems",
journal = j-TOMS,
volume = "22",
number = "4",
pages = "493--495",
month = dec,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/235815.235823",
ISSN = "0098-3500",
bibdate = "Tue Mar 9 10:22:02 1999",
note = "See \cite{Bartels:1980:APL}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-4/p493-koenker/",
abstract = "Two modifications of Bartels and Conn's algorithm for
solving linearly constrained discrete $l_1$ problems
are described. The modifications are designed to
improve performance of the algorithm under conditions
of degeneracy.",
acknowledgement = ack-rfb,
keywords = "algorithms, performance, reliability, theory",
subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL
ANALYSIS, Optimization, Constrained optimization,
Gradient methods, Linear programming. {\bf G.3}:
Mathematics of Computing, PROBABILITY AND STATISTICS,
Statistical computing.",
}
@Article{Reid:1996:RFF,
author = "J. K. Reid",
title = "Remark on ``{Fast Floating-Point Processing in Common
Lisp}''",
journal = j-TOMS,
volume = "22",
number = "4",
pages = "496--497",
month = dec,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/235815.235824",
ISSN = "0098-3500",
bibdate = "Tue Mar 9 10:21:08 1999",
bibsource = "Compendex database",
note = "See \cite{Fateman:1995:FFP}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1996-22-4/p496-reid/",
abstract = "We explain why we feel that the comparison between
Common Lisp and Fortran in a recent article by Fateman
et al. in this journal is not entirely fair.",
acknowledgement = ack-nhfb # " and " # ack-rfb,
affiliation = "Rutherford Appleton Lab",
classification = "721.1; 723.1.1; 902.2; 921.6",
journalabr = "ACM Trans Math Software",
keywords = "Common Lisp language; Control structures; Digital
arithmetic; Floating point computation; fortran
(programming language); Lisp (programming language);
Standards",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, General,
Standards. {\bf D.3.3}: Software, PROGRAMMING
LANGUAGES, Language Constructs and Features, Modules,
packages.",
}
@Article{Snyder:1996:RAF,
author = "W. Van Snyder",
title = "Remark on {Algorithm 723}: {Fresnel} Integrals",
journal = j-TOMS,
volume = "22",
number = "4",
pages = "498--500",
month = dec,
year = "1996",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/235815.235825",
ISSN = "0098-3500",
note = "See \cite{Snyder:1993:AFI}.",
abstract = "{/it {Algorithm 723}: Fresnal Integrals} has been
improved to provide more precise results for $x \gg
0$.",
acknowledgement = ack-rfb,
keywords = "algorithms, performance",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN. {\bf G.1.2}: Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation, Rational
approximation. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE, Certification and testing.",
}
@Article{Cools:1997:ACC,
author = "Ronald Cools and Dirk Laurie and Luc Pluym",
title = "{Algorithm 764}: {Cubpack++} --- {A C++} Package for
Automatic Two-Dimensional Cubature",
journal = j-TOMS,
volume = "23",
number = "1",
pages = "1--15",
month = mar,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/244768.244770",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-1/p1-cools/",
abstract = "In this article, software for the numerical
approximation of double integrals over a variety of
regions is described. The software was written in C++.
Classes for a large number of shapes are provided. A
global adaptive integration algorithm is used based on
transformations and subdivisions of regions.",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, C++. {\bf G.1.4}: Mathematics of
Computing, NUMERICAL ANALYSIS, Quadrature and Numerical
Differentiation, adaptive quadrature, multiple
quadrature. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE, efficiency, reliability and
robustness.",
}
@Article{Favati:1997:LEE,
author = "Paola Favati and Guiseppe Fiorentino and Grazia Lotti
and Francesco Romani",
title = "Local Error Estimates and Regularity Tests for the
Implementation of Double Adaptive Quadrature",
journal = j-TOMS,
volume = "23",
number = "1",
pages = "16--31",
month = mar,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/244768.244772",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-1/p16-favati/",
abstract = "This article presents a device which is suitable for a
practical and efficient implementation of Double
Adaptive Quadrature. The device includes local error
estimates and attempts to detect the presence of
numerical difficulties in the integrand function. If a
family of rules with suitable properties is chosen,
then this can be achieved without affecting the overall
computational cost. Extensive numerical testing has
been performed on a comprehensive set of functions
showing the effectiveness of the device and its
efficiency.",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms",
subject = "{\bf G.1.4}: Mathematics of Computing, NUMERICAL
ANALYSIS, Quadrature and Numerical Differentiation,
adaptive quadrature. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, efficiency,
reliability and robustness.",
}
@Article{Machiels:1997:FEO,
author = "L. Machiels and M. O. Deville",
title = "{Fortran 90}: An Entry to Object-Oriented Programming
for Solution of Partial Differential Equations",
journal = j-TOMS,
volume = "23",
number = "1",
pages = "32--49",
month = mar,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/244768.244774",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-1/p32-machiels/",
abstract = "The aim of this work is to set up a programming model
suitable for numerical computing while taking benefit
of Fortran 90's features. The use of concepts from
object-oriented programming avoids the weaknesses of
the traditional global data programming model of
Fortran 77. This work supports the view that
object-oriented concepts are not in contradiction with
good Fortran 77 programming practices but complement
them. These concepts can be embodied in a module-based
programming style and result in an efficient and
easy-to-maintain code (maintainability means code
clarity, scope for further enhancements and ease of
debugging). After introducing the terminology
associated with object-oriented programming, it is
shown how these concepts are implemented in the
framework of Fortran 90. Then, we present an
object-oriented implementation of a spectral element
solver for a Poisson equation.",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "design",
subject = "{\bf D.1.5}: Software, PROGRAMMING TECHNIQUES,
Object-Oriented Programming. {\bf D.3.2}: Software,
PROGRAMMING LANGUAGES, Language Classifications,
FORTRAN 90. {\bf G.1.8}: Mathematics of Computing,
NUMERICAL ANALYSIS, Partial Differential Equations.",
}
@Article{Bruaset:1997:OOD,
author = "Are Magnus Bruaset and Hans Petter Langtangen",
title = "Object-Oriented Design of Preconditioned Iterative
Methods in {Diffpack}",
journal = j-TOMS,
volume = "23",
number = "1",
pages = "50--80",
month = mar,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/244768.244776",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-1/p50-bruaset/",
abstract = "As modern programming methodologies migrate from
computer science to scientific computing, developers of
numerical software are faced with new possibilities and
challenges. Based on experiences from an ongoing
project that develops C++ software for the solution of
partial differential equations, this article has its
focus on object-oriented design of iterative solvers
for linear systems of equations. Special attention is
paid to possible conflicts that have to be resolved in
order to achieve a flexible, yet efficient, code.",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "design, performance",
subject = "{\bf D.2.8}: Software, SOFTWARE ENGINEERING, Tools and
Techniques, software libraries. {\bf D.3.2}: Software,
PROGRAMMING LANGUAGES, Language Classifications, C++.
{\bf G.1.3}: Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra, linear systems,
sparse and very large systems.",
}
@Article{Bouaricha:1997:ASS,
author = "Ali Bouaricha",
title = "{Algorithm 765}: {STENMIN} --- {A} Software Package
for Large, Sparse Unconstrained Optimization Using
Tensor Methods",
journal = j-TOMS,
volume = "23",
number = "1",
pages = "81--90",
month = mar,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/244768.244788",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-1/p81-bouaricha/",
abstract = "We describe a new package for minimizing an
unconstrained nonlinear function where the Hessian is
large and sparse. The software allows the user to
select between a tensor method and a standard method
based upon a quadratic model. The tensor method models
the objective function by a fourth-order model, where
the third- and fourth-order terms are chosen such that
the extra cost of forming and solving the model is
small. The new contribution of this package consists of
the incorporation of an entirely new way of minimizing
the tensor model that makes it suitable for solving
large, sparse optimization problems efficiently. The
test results indicate that, in general, the tensor
method is often more efficient and more reliable than
the standard Newton method for solving large, sparse
unconstrained optimization problems.",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, Fortran. {\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, unconstrained optimization. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE.",
}
@Article{Cabay:1997:AEW,
author = "S. Cabay and A. R. Jones and G. Labahn",
title = "{Algorithm 766}: Experiments with a Weakly Stable
Algorithm for Computing {Pad{\'e}} and Simultaneous
{Pad{\'e}} Approximants",
journal = j-TOMS,
volume = "23",
number = "1",
pages = "91--110",
month = mar,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/244768.244790",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-1/p91-cabay/",
abstract = "In a recent paper, Cabay, Jones and Labahn develop a
fast, iterative, lookahead algorithm for numerically
computing Pad{\'e}--Hermite systems and simultaneous
Pad{\'e} systems along a diagonal of the associated
Pad{\'e} tables. Included in their work is a detailed
error analysis showing that the algorithm is weakly
stable. In this article, we describe a Fortran
implementation, VECTOR\_PADE, of this algorithm
together with a number of numerical experiments. These
experiments show that the theoretical error bounds
obtained by Cabay, Jones, and Labahn reflect the
general behavior of the actual error, but that in
practice these bounds are large overestimates.",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms, experimentation",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, Fortran. {\bf G.1}: Mathematics of
Computing, NUMERICAL ANALYSIS. {\bf G.1.2}: Mathematics
of Computing, NUMERICAL ANALYSIS, Approximation,
rational approximation. {\bf G.1.3}: Mathematics of
Computing, NUMERICAL ANALYSIS, Numerical Linear
Algebra, error analysis, linear systems, matrix
inversion.",
}
@Article{Geurts:1997:AFP,
author = "A. J. Geurts and C. Praagman",
title = "{Algorithm 767}: {A} {Fortran 77} Package for Column
Reduction of Polynomial Matrices",
journal = j-TOMS,
volume = "23",
number = "1",
pages = "111--129",
month = mar,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/244768.244791",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-1/p111-geurts/",
abstract = "A polynomial matrix is called column reduced if its
column degrees are as low as possible in some sense.
Two polynomial matrices $P$ and $R$ are called
unimodularly equivalent if there exists a unimodular
polynomial matrix $U$ such that $PU = R$. Every
polynomial matrix is unimodularly equivalent to a
column-reduced polynomial matrix. In this article a
subroutine is described that takes a polynomial matrix
$P$ as input and yields on output a unimodular matrix
$U$ and a column-reduced matrix $R$ such that $PU = R$;
actually, $PU - R$ is near zero. The subroutine is
based on an algorithm, described in a paper by Neven
and Praagman. The subroutine has been tested with a
number of examples on different computers, with
comparable results. The performance of the subroutine
on every example tried is satisfactory in the sense
that the magnitude of the elements of the residual
matrix $PU-R$ is about $\parallel P \parallel \parallel
U \parallel EPS$, where $EPS$ is the machine precision.
To obtain these results a tolerance, used to determine
the rank of some (sub)matrices, has to be set properly.
The influence of this tolerance on the performance of
the algorithm is discussed, from which a guideline for
the usage of the subroutine is derived.",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms, reliability",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, Fortran. {\bf F.2.1}: Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Numerical Algorithms and Problems. {\bf
G.1.3}: Mathematics of Computing, NUMERICAL ANALYSIS,
Numerical Linear Algebra, linear systems. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE,
algorithm analysis.",
}
@Article{Blackford:1997:PEN,
author = "L. S. Blackford and A. Cleary and A. Petitet and R. C.
Whaley and J. Demmel and I. Dhillon and H. Ren and K.
Stanley and J. Dongarra and S. Hammarling",
title = "Practical Experience in the Numerical Dangers of
Heterogeneous Computing",
journal = j-TOMS,
volume = "23",
number = "2",
pages = "133--147",
month = jun,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/264029.264030",
ISSN = "0098-3500",
bibdate = "Thu Nov 8 14:50:37 2007",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-2/p133-blackford/",
abstract = "Special challenges exist in writing reliable numerical
library software for heterogeneous computing
environments. Although a lot of software for
distributed-memory parallel computers has been written,
porting this software to a network of workstations
requires careful consideration. The symptoms of
heterogeneous computing failures can range from
erroneous results without warning to deadlock. Some of
the problems are straightforward to solve, but for
others the solutions are not so obvious, or incur an
unacceptable overhead. Making software robust on
heterogeneous systems often requires additional
communication. We describe and illustrate the problems
encountered during the development of ScaLAPACK and the
NAG Numerical PVM Library. Where possible, we suggest
ways to avoid potential pitfalls, or if that is not
possible, we recommend that the software not be used on
heterogeneous networks.",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "distributed-memory systems, floating-point arithmetic,
heterogeneous processor networks, message passing,
numerical software, reliability",
subject = "{\bf D.1.3} Software, PROGRAMMING TECHNIQUES,
Concurrent Programming, Distributed programming. {\bf
G.1.0} Mathematics of Computing, NUMERICAL ANALYSIS,
General, Computer arithmetic. {\bf G.1.0} Mathematics
of Computing, NUMERICAL ANALYSIS, General, Parallel
algorithms.",
}
@Article{Ho:1997:DND,
author = "James K. Ho and R. P. Sundarraj",
title = "Distributed Nested Decomposition of Staircase Linear
Programs",
journal = j-TOMS,
volume = "23",
number = "2",
pages = "148--173",
month = jun,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/264029.264031",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-2/p148-ho/",
abstract = "This article considers the application of a primal
nested-decomposition method to solve staircase linear
programs (SLPs) on distributed-memory,
multiple-instruction-multiple-data computers. Due to
the coupling that exist among the stages of an SLP, a
standard parallel-decomposition algorithm for these
problems would allow only a subset of the subproblem
processes to overlap with one another at any give time.
We propose algorithms that seek to increase the amount
of overlap among the processes as well as utilize idle
time beneficially. Computational results testing the
effectiveness of our algorithms are reported, using a
standard set of test problems.",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "computational linear programming, distributed
computation",
subject = "{\bf C.1.2} Computer Systems Organization, PROCESSOR
ARCHITECTURES, Multiple Data Stream Architectures
(Multiprocessors), Multiple-instruction-stream,
multiple-data-stream processors (MIMD). {\bf G.1.0}
Mathematics of Computing, NUMERICAL ANALYSIS, General,
Parallel algorithms. {\bf G.1.6} Mathematics of
Computing, NUMERICAL ANALYSIS, Optimization, Linear
programming.",
}
@Article{Bouaricha:1997:TSP,
author = "Ali Bouaricha and Robert B. Schnabel",
title = "{Algorithm 768}: {TENSOLVE}: {A} Software Package for
Solving Systems of Nonlinear Equations and Nonlinear
Least-squares Problems Using Tensor Methods",
journal = j-TOMS,
volume = "23",
number = "2",
pages = "174--195",
month = jun,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/264029.264032",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-2/p174-bouaricha/",
abstract = "This article describes a modular software package for
solving systems of nonlinear equations and nonlinear
problems, using a new class of methods called tensor
methods. It is intended for small- to medium-sized
problems, say with up to 100 equations and unknowns, in
cases where it is reasonable to calculate the Jacobian
matrix or to approximate it by finite differences at
each iteration. The software allows the user to choose
between a tensor method and a standard method based on
a linear model. The tensor method approximates F(x) by
a quadratic model, where the second-order term is
chosen so that the model is hardly more expensive to
form, store, or solve than the standard linear model.
Moreover, the software provides two different global
strategies: a line search approach and a
two-dimensional trust region approach. Test results
indicate that, in general, tensor methods are
significantly more efficient and robust than standard
methods on small- and medium-sized problems in
iterations and function evaluations.",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "nonlinear equations, nonlinear least squares,
rank-deficient matrices, tensor methods",
subject = "{\bf G.1.5} Mathematics of Computing, NUMERICAL
ANALYSIS, Roots of Nonlinear Equations, Systems of
equations. {\bf G.1.6} Mathematics of Computing,
NUMERICAL ANALYSIS, Optimization, Least squares
methods. {\bf G.4} Mathematics of Computing,
MATHEMATICAL SOFTWARE.",
}
@Article{Pardalos:1997:AFS,
author = "Panos M. Pardalos and Leonidas S. Pitsolulis and
Mauricio G. C. Resende",
title = "{Algorithm 769}: {Fortran} Subroutines for Approximate
Solution of Sparse Quadratic Assignment Problems Using
{GRASP}",
journal = j-TOMS,
volume = "23",
number = "2",
pages = "196--208",
month = jun,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/264029.264038",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-2/p196-pardalos/",
abstract = "We describe Fortran subroutines for finding
approximate solutions of sparse instances of the
Quadratic Assignment Problem (QAP) using a Greedy
Randomized Adaptive Search Procedure (GRASP). The
design and implementation of the code are described in
detail. Computational results comparing the new
subroutines with a dense version of the code (Algorithm
754, ACM TOMS) show that the speedup increases with the
sparsity of the data.",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "combinatorial optimization, Fortran subroutines,
GRASP, local search, quadratic assignment problem",
subject = "{\bf G.1.6} Mathematics of Computing, NUMERICAL
ANALYSIS, Optimization, Integer programming. {\bf
G.2.1} Mathematics of Computing, DISCRETE MATHEMATICS,
Combinatorics, Combinatorial algorithms. {\bf G.m}
Mathematics of Computing, MISCELLANEOUS.",
}
@Article{Siarry:1997:ESA,
author = "Patrick Siarry and G{\'e}rard Berthiau and
Fran\c{c}ois Durdin and Jacques Haussy",
title = "Enhanced Simulated Annealing for Globally Minimizing
Functions of Many-continuous Variables",
journal = j-TOMS,
volume = "23",
number = "2",
pages = "209--228",
month = jun,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/264029.264043",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-2/p209-siarry/",
abstract = "A new global optimization algorithm for functions of
many continuous variables is presented, derived from
the basic Simulated annealing method. Our main
contribution lies in dealing with high-dimensionality
minimization problems, which are often difficult to
solve by all known minimization methods with or without
gradient. In this article we take a special interest in
the variables discretization issue. We also develop and
implement several complementary stopping criteria. The
original Metropolis iterative random search, which
takes place in a Euclidean space Rn, is replaced by
another similar exploration, performed within a
succession of Euclidean spaces Rp, with p << n. This
Enhanced Simulated Annealing (ESA) algorithm was
validated first on classical highly multimodal
functions of 2 to 100 variables. We obtained
significant reductions in the number of function
evaluations compared to six other global optimization
algorithms, selected according to previously published
computational results for the same set of test
functions. In most cases, ESA was able to closely
approximate known global optima. The reduced ESA
computational cost helped us to refine further the
obtained global results, through the use of some local
search. We have used this new minimizing procedure to
solve complex circuit design problems, for which the
objective function evaluation can be exceedingly
costly.",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "global optimization, stochastic optimization, test
functions",
subject = "{\bf G.1.6} Mathematics of Computing, NUMERICAL
ANALYSIS, Optimization, Nonlinear programming. {\bf
G.3} Mathematics of Computing, PROBABILITY AND
STATISTICS, Probabilistic algorithms (including Monte
Carlo). {\bf G.4} Mathematics of Computing,
MATHEMATICAL SOFTWARE, Certification and testing.",
}
@Article{Costantini:1997:BVS,
author = "P. Costantini",
title = "Boundary-Valued Shape-Preserving Interpolating
Splines",
journal = j-TOMS,
volume = "23",
number = "2",
pages = "229--251",
month = jun,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/264029.264050",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-2/p229-costantini/",
abstract = "This article describes a general-purpose method for
computing interpolating polynomial splines with
arbitrary constraints on their shape and satisfying
separable or nonseparable boundary conditions. Examples
of applications of the related Fortran code are
periodic shape-preserving spline interpolation and the
construction of visually pleasing closed curves.",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "Bernstein-B\'{e}zier polynomials, dynamic programming,
spline interpolation",
subject = "{\bf G.1.1} Mathematics of Computing, NUMERICAL
ANALYSIS, Interpolation.",
}
@Article{Costantini:1997:APC,
author = "P. Costantini",
title = "{Algorithm 770}: {BVSPIS}---{A} Package for Computing
Boundary-Valued Shape-Preserving Interpolating
Splines",
journal = j-TOMS,
volume = "23",
number = "2",
pages = "252--254",
month = jun,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/264029.264059",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-2/p252-costantini/",
abstract = "This article describes a software package for
computing interpolating polynomial splines with
arbitrary constraints on their shape and satisfying
separable or nonseparable boundary conditions.",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "Bernstein-B\'{e}zier polynomials, dynamic programming,
spline interpolation",
subject = "{\bf D.3.2} Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN. {\bf G.1.1} Mathematics of
Computing, NUMERICAL ANALYSIS, Interpolation. {\bf G.4}
Mathematics of Computing, MATHEMATICAL SOFTWARE.",
}
@Article{Wu:1997:MVR,
author = "Pei-Chi Wu",
title = "Multiplicative, congruential random-number generators
with multiplier $\pm 2^{k_1} \pm 2^{k_2}$ and modulus
$2^p - 1$",
journal = j-TOMS,
volume = "23",
number = "2",
pages = "255--265",
month = jun,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/264029.264056",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-2/p255-wu/",
abstract = "The demand for random numbers in scientific
applications in increasing. However, the most widely
used multiplicative, congruential random-number
generators with modulus $2^31 - 1$ have a cycle length
of about $2.1 \times 10^9$. Moreover, developing
portable and efficient generators with a larger modulus
such as $2^61 - 1$ is more difficult than those with
modulus $2^31 - 1$. This article presents the
development of multiplicative, congruential generators
with modulus $m = 2p - 1$ and four forms of
multipliers: $2^{k_1} - 2^{k_2}, 2^{k_1} + 2^{k_2}, m -
2^{k_1} + 2^{k_2}$, and $m - 2^{k_1} - 2^{k_2}, {k_1} >
{k_2}$. The multipliers for modulus 2^31 - 1 and 2^61 -
1 are measured by spectral tests, and the best ones are
presented. The generators with these multipliers are
portable and vary fast. They have also passed several
empirical tests, including the frequency test, the urn
test, and the maximum-of-t test.",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "cycle length, efficiency, multiplicative congruential
random-number generators, portability, spectral test",
subject = "{\bf G.3} Mathematics of Computing, PROBABILITY AND
STATISTICS, Random number generation.",
}
@Article{Kocis:1997:CIL,
author = "Ladislav Kocis and William J. Whiten",
title = "Computational Investigations of Low-discrepancy
Sequences",
journal = j-TOMS,
volume = "23",
number = "2",
pages = "266--294",
month = jun,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/264029.264064",
ISSN = "0098-3500",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-2/p266-kocis/",
abstract = "The Halton, Sobol, and Faure sequences and the
Braaten-Weller construction of the generalized Halton
sequence are studied in order to assess their
applicability for the quasi Monte Carlo integration
with large number of variates. A modification of the
Halton sequence (the Halton sequence leaped) and a new
construction of the generalized Halton sequence are
suggested for unrestricted number of dimensions and are
show to improve considerably on the original Halton
sequence. Problems associated with estimation of the
error in quasi Monte Carlo integration and with the
selection of test functions are identified. Then an
estimate of the maximum error of the quasi Monte Carlo
integration of nine test functions is computed for up
to 400 dimensions and is used to evaluate the known
generators mentioned above and the two new generators.
An empirical formula for the error of the quasi Monte
Carlo integration is suggested.",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "discrepancy, error of numerical integration, Faure
sequence, generalized Halton sequence, Halton sequence,
low-discrepancy sequences, Monte Carlo and quasi Monte
Carlo integration, Sobol sequence",
subject = "{\bf G.1.4} Mathematics of Computing, NUMERICAL
ANALYSIS, Quadrature and Numerical Differentiation.
{\bf I.6} Computing Methodologies, SIMULATION AND
MODELING.",
}
@Article{Goano:1997:RA7,
author = "Michele Goano",
title = "Remark on {Algorithm 745}",
journal = j-TOMS,
volume = "23",
number = "2",
pages = "295--295",
month = jun,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/264029.643581",
ISSN = "0098-3500",
bibdate = "Tue Mar 9 10:19:38 1999",
note = "See \cite{Goano:1995:ACC}.",
acknowledgement = ack-rfb # " and " # ack-kr,
}
@Article{Hull:1997:ICA,
author = "T. E. Hull and Thomas F. Fairgrieve and Ping Tak Peter
Tang",
title = "Implementing the Complex Arcsine and Arccosine
Functions Using Exception Handling",
journal = j-TOMS,
volume = "23",
number = "3",
pages = "299--335",
month = sep,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/275323.275324",
ISSN = "0098-3500",
bibdate = "Wed May 6 11:23:41 1998",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-3/p299-hull/",
abstract = "We develop efficient algorithms for reliable and
accurate evaluations of the complex arcsine and
arccosine functions. A tight error bound is derived for
each algorithm; the results are valid for all
machine-representable points in the complex plane. The
algorithms are presented in a pseudocode that has a
convenient exception-handling facility. Corresponding
Fortran 77 programs for an IEEE environment have also
been developed to illustrate the practicality of the
algorithms, and these programs have been tested very
carefully to help confirm the correctness of the
algorithms and their error bounds. The results of these
tests are included in the article, but the Fortran 77
programs are not (these programs are available from
Fairgrieve). Tests of other widely available programs
fail at many points in the complex plane, and otherwise
are slower and produce much less accurate results.",
accepted = "February 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms, design, complex elementary functions,
implementation",
subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL
ANALYSIS, General, error analysis, Numerical
algorithms. {\bf G.1.2}: Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, elementary function
approximation. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE, algorithm analysis, reliability
and robustness, verification.",
}
@Article{Carr:1997:CBD,
author = "Steve Carr and R. B. Lehoucq",
title = "Compiler Blockability of Dense Matrix Factorizations",
journal = j-TOMS,
volume = "23",
number = "3",
pages = "336--361",
month = sep,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/275323.275325",
ISSN = "0098-3500",
bibdate = "Wed May 6 11:23:41 1998",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-3/p336-carr/",
abstract = "The goal of the LAPACK project is to provide efficient
and portable software for dense numerical linear
algebra computations. By recasting many of the
fundamental dense matrix computations in terms of calls
to an efficient implementation of the BLAS (Basic
Linear Algebra Subprograms), the LAPACK project has, in
large part, achieved its goal. Unfortunately, the
efficient implementation of the BLAS results often in
machine-specific code that is not portable across
multiple architectures without a significant loss in
performance or significant effort to reoptimize them.
This article examines whether most of the hand
optimizations performed on matrix factorization codes
are unnecessary because they can (and should) be
performed by the compiler. We believe that it is better
for the programmer to express algorithms in a
machine-independent form and allow the compiler to
handle the machine-dependent details. This gives the
algorithms portability across architectures and removes
the error-prone, expensive, and tedious process of hand
optimization. Although there currently exist no
production compilers that can perform all the loop
transformations discussed in this article, a
description of current research in compiler technology
is provided that will prove beneficial to the numerical
linear algebra community. We show that the Cholesky and
optimized automatically by a compiler to be as
efficient as the same hand-optimized version found in
LAPACK. We also show that the QR factorization may be
optimized by the compiler to perform comparably with
the hand-optimized LAPACK version on modest matrix
sizes. Our approach allows us to conclude that with the
advent of the compiler optimizations discussed in this
article, matrix factorizations may be efficiently
implemented in a BLAS-less form.",
accepted = "February 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "languages, performance, BLAS, cache optimization,
Cholesky decomposition, LAPACK, LU decomposition, QR
decomposition",
subject = "{\bf D.3.4}: Software, PROGRAMMING LANGUAGES,
Processors, Compilers, optimization. {\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. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, efficiency,
portability.",
}
@Article{Carrig:1997:EHQ,
author = "James J. {Carrig Jr.} and Gerald G. L. Meyer",
title = "Efficient {Householder} {QR} Factorization for
Superscalar Processors",
journal = j-TOMS,
volume = "23",
number = "3",
pages = "362--378",
month = sep,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/275323.275326",
ISSN = "0098-3500",
bibdate = "Wed May 6 11:23:41 1998",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-3/p362-carrig/",
abstract = "To extract the potential promised by superscalar
processors, algorithm designers must streamline memory
references and allow for efficient data reuse
throughout the memory hierarchy. Two parameterized
Householder QR factorization algorithms are presented
that take into account the caches and registers typical
of such processors. Guidelines are developed for
choosing parameter values that obtain near-optimal
cache and register utilization. The new algorithms are
implemented and performance-tuned on an Intel Pentium
Pro system, a single this POWER2 node of the IBM
Scalable Parallel System 2 (SP2), and a single R8000
processor of a Silicon Graphics POWER Challenge XL.",
accepted = "February 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms, performance, cache model, Householder QR
factorization, register model",
subject = "{\bf B.3.2}: Hardware, MEMORY STRUCTURES, Design
Styles, Cache memories. {\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, efficiency,
portability.",
}
@Article{Duff:1997:LBL,
author = "Iain S. Duff and Michele Marrone and Giuseppe Radicati
and Carlo Vittoli",
title = "{Level 3 Basic Linear Algebra Subprograms} for Sparse
Matrices: a User Level Interface",
journal = j-TOMS,
volume = "23",
number = "3",
pages = "379--401",
month = sep,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/275323.275327",
ISSN = "0098-3500",
MRclass = "65Y15",
MRnumber = "MR1672168",
bibdate = "Mon Jan 2 09:11:24 2006",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-3/p379-duff/",
abstract = "This article proposes a set of Level 3 Basic Linear
Algebra Subprograms and associated kernels for sparse
matrices. A major goal is to design and develop a
common framework to enable efficient, and portable,
implementations of iterative algorithms for sparse
matrices on high-performance computers. We have
designed the routines to shield the developer of
mathematical software from most of the complexities of
the various data structures used for sparse matrices.
We have kept the interface and suite of codes as simple
as possible while at the same time including sufficient
functionality to cover most sparse matrix data
structures. An important aspect of our framework is
that it can be easily extended to incorporate new
kernels if the need arises. We discuss the design,
implementation, and use of subprograms for the
multiplication of a full matrix by a sparse one and for
the solution of sparse triangular systems with one or
more (full) right-hand sides. We include a routine for
checking the input data, generating a new sparse data
structure from that input, and scaling a sparse matrix.
The new data structure for the transformation can be
specified by the user or can be chosen automatically by
vendors to be efficient on their machines. We also
include a routine for permuting the columns of a sparse
matrix and one for permuting the rows of a full
matrix.",
accepted = "March 1997",
acknowledgement = ack-rfb # " and " # ack-kr # " and " # ack-nhfb,
fjournal = "Association for Computing Machinery. Transactions on
Mathematical Software",
keywords = "algorithms, performance, reliability, high-performance
computing, iterative solution, programming standards,
sparse BLAS, sparse data structures, sparse matrices",
subject = "{\bf D.2.2}: Software, SOFTWARE ENGINEERING, Tools and
Techniques, user interfaces. {\bf D.2.2}: Software,
SOFTWARE ENGINEERING, Coding, standards. {\bf F.2.1}:
Theory of Computation, ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY, Numerical Algorithms and Problems,
Computations on matrices. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, certification and
testing, efficiency, portability, reliability and
robustness, verification.",
}
@Article{Brankin:1997:ARF,
author = "R. W. Brankin and I. Gladwell",
title = "{Algorithm 771}. {\tt rksuite\_90}: {Fortran} Software
for Ordinary Differential Equation Initial Value
Problems",
journal = j-TOMS,
volume = "23",
number = "3",
pages = "402--415",
month = sep,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/275323.275328",
ISSN = "0098-3500",
bibdate = "Wed May 6 11:23:41 1998",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-3/p402-brankin/",
abstract = "We present Fortran 90 software for the initial-value
problem in ordinary differential equations, including
the interfaces and how Fortran 90 language features
afford the opportunity to address different types and
structures of variables and to provide additional
functionality. A novel feature of this software is the
availability of Unix scripts which enable presentation
of the software for multiple problem types.",
accepted = "January 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms, complex, recursion",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, Fortran 90. {\bf G.1.7}: Mathematics
of Computing, ORDINARY DIFFERENTIAL EQUATIONS, Initial
value problems. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE.",
}
@Article{Renka:1997:ASD,
author = "Robert J. Renka",
title = "{Algorithm 772}. {STRIPACK}: {Delaunay} Triangulation
and {Voronoi} Diagram on the Surface of a Sphere",
journal = j-TOMS,
volume = "23",
number = "3",
pages = "416--434",
month = sep,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/275323.275329",
ISSN = "0098-3500",
bibdate = "Wed May 6 11:23:41 1998",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-3/p416-renka/",
abstract = "STRIPACK is a Fortran 77 software package that employs
an incremental algorithm to construct a Delaunay
triangulation and, optionally, a Voronoi diagram of a
set of points (nodes) on the surface of the unit
sphere. The triangulation covers the convex hull of the
nodes, which need not be the entire surface, while the
Voronoi diagram covers the entire surface. The package
provides a wide range of capabilities including an
efficient means of updating the triangulation with
nodal additions or deletions. For N nodes, the storage
requirement for the triangulation is 13N integer
storage locations in addition to 3N nodal coordinates.
Using an off-line algorithm and work space of size 3N,
the triangulation can be constructed with time
complexity O(NlogN).",
accepted = "March 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms, Delaunay triangulation, Dirichlet
tessellation, sphere, Thiessen regions, Voronoi
diagram",
subject = "{\bf G.1.1}: Mathematics of Computing, NUMERICAL
ANALYSIS, Interpolation. {\bf G.1.2}: Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE.",
}
@Article{Renka:1997:ASI,
author = "Robert J. Renka",
title = "{Algorithm 773}. {SSRFPACK}: Interpolation of
Scattered Data on the Surface of a Sphere with a
Surface under Tension",
journal = j-TOMS,
volume = "23",
number = "3",
pages = "435--442",
month = sep,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/275323.275330",
ISSN = "0098-3500",
bibdate = "Wed May 6 11:23:41 1998",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-3/p435-renka/",
abstract = "SSRFPACK is a Fortran 77 software package that
constructs a smooth interpolatory or approximating
surface to data values associated with arbitrarily
distributed points on the surface of a sphere. It
employs automatically selected tension factors to
preserve shape properties of the data and avoid
overshoot and undershoot associated with steep
gradients.",
accepted = "March 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms, scattered data fitting, smoothing, surface
under tension, triangle-based interpolation",
subject = "{\bf G.1.1}: Mathematics of Computing, NUMERICAL
ANALYSIS, Interpolation. {\bf G.1.2}: Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE.",
}
@Article{Facchinei:1997:GBC,
author = "Francisco Facchinei and Joaquim J{\'u}dice and
Jo{\~a}o Soares",
title = "Generating Box Constrained Optimization Problems",
journal = j-TOMS,
volume = "23",
number = "3",
pages = "443--447",
month = sep,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/275323.275331",
ISSN = "0098-3500",
bibdate = "Wed May 6 11:23:41 1998",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-3/p443-facchinei/",
abstract = "We present a method for generating box-constrained
nonlinear programming test problems. The technique
allows the user to control some properties of the
generated test problems that are known to influence the
behavior of algorithms for their solution. A
corresponding set of Fortran 77 routines is described
in a companion algorithm (774).",
accepted = "February 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms, performance, verification, nonlinear
programming test problems, optimization, test problems
generation",
subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL
ANALYSIS, Optimization. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, certification and
testing, verification.",
}
@Article{Facchinei:1997:AFS,
author = "Francisco Facchinei and Joaquim J{\'u}dice and
Jo{\~a}o Soares",
title = "{Algorithm 774}. {FORTRAN} Subroutine for Generating
Box Constrained Optimization Problems",
journal = j-TOMS,
volume = "23",
number = "3",
pages = "448--450",
month = sep,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/275323.275332",
ISSN = "0098-3500",
bibdate = "Wed May 6 11:23:41 1998",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-3/p448-facchinei/",
abstract = "We describe a set of Fortran routines for generating
box-constrained nonlinear programming test problems.
The technique, as described by Facchinei et al. (this
issue), allows the user to control relevant properties
of the generated problems.",
accepted = "February 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms, performance, verification, nonlinear
programming test problems, optimization, test problems
generation",
subject = "{\bf G.1.6}: Mathematics of Computing, NUMERICAL
ANALYSIS, Optimization. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, certification and
testing, verification.",
}
@Article{Greenberg:1997:ACS,
author = "Leon Greenberg and Marco Marletta",
title = "{Algorithm 775}. The Code {SLEUTH} for Solving
Fourth-Order {Sturm--Liouville} Problems",
journal = j-TOMS,
volume = "23",
number = "4",
pages = "453--493",
month = dec,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/279232.279231",
ISSN = "0098-3500",
bibdate = "Thu Sep 17 15:28:33 1998",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-4/p453-greenberg/",
abstract = "We describe a new code (SLEUTH) for numerical solution
of regular two-point fourth-order Sturm--Liouville
eigenvalue problems. Eigenvalues are computed according
to index: the user specifies an integer $k \geq 0$, and
the code computes an approximation to the $k$th
eigenvalue. Eigenfunctions are also available through
an auxiliary routine, called after the eigenvalue has
been determined. The code will be made available
through netlib.",
accepted = "March 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms, SLEUTH",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, Fortran 77. {\bf G.1.7}: Mathematics
of Computing, ORDINARY DIFFERENTIAL EQUATIONS, Boundary
value problems. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE.",
}
@Article{Bai:1997:ASF,
author = "Z. Bai and G. W. Stewart",
title = "{Algorithm 776}. {SRRIT} --- {A} {FORTRAN} Subroutine
to Calculate the Dominant Invariant Subspace of a
Nonsymmetric Matrix",
journal = j-TOMS,
volume = "23",
number = "4",
pages = "494--513",
month = dec,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/279232.279234;
http://www.acm.org/pubs/citations/journals/toms/1997-23-4/p494-bai/",
ISSN = "0098-3500",
abstract = "SRRIT is a Fortran program to calculate an approximate
orthonormal basis for a dominant invariant subspace of
a real matrix $A$ by the method of simultaneous
iteration. Specifically, given an integer $m$, SRRIT
computes a matrix $Q$ with $m$ orthonormal columns and
real quasi-triangular matrix $T$ of order $m$ such that
the equation $AQ = QT$ is satisfied up to a tolerance
specified by the user. The eigenvalues of $T$ are
approximations to the $m$ eigenvalues of largest
absolute magnitude of $A$, and the columns of $Q$ span
the invariant subspace corresponding to those
eigenvalues. SRRIT references $A$ only through a
user-provided subroutine to form the product $AQ$;
hence it is suitable for large sparse problems.",
accepted = "March 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms, invariant subspace, nonsymmetric
eigenvalue problem, project method",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, Fortran. {\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, eigenvalues. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, certification and
testing.",
}
@Article{Watson:1997:ASF,
author = "Layne T. Watson and Robert C. Melville and Alexander
P. Morgan and Homer F. Walker",
title = "{Algorithm 777}. {HOMPACK90}: {A} Suite of {Fortran}
90 Codes for Globally Convergent Homotopy Algorithms",
journal = j-TOMS,
volume = "23",
number = "4",
pages = "514--549",
month = dec,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/279232.279235;
http://www.acm.org/pubs/citations/journals/toms/1997-23-4/p514-watson/",
ISSN = "0098-3500",
abstract = "HOMPACK90 is a Fortran 90 version of the Fortran 77
package HOMPACK (Algorithm 652), a collection of codes
for finding zeros of fixed points of nonlinear systems
using globally convergent probability-one homotopy
algorithms. Three qualitatively different algorithms
--- ordinary differential equation based, normal flow,
quasi-Newton augmented Jacobian matrix --- are provided
for tracking homotopy zero curves, as well as separate
routine for dense and sparse Jacobian matrices. A high
level driver for the special case of polynomial systems
is also provided. Changes to HOMPACK include numerous
minor improvements, simpler and more elegant
interfaces, use of modules, new end games, support for
several sparse matrix data structures, and new
iterative algorithms for large sparse Jacobian
matrices.",
accepted = "April 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms, Chow-Yorke algorithm, curve tracking,
fixed point, globally convergent, homotopy methods,
polynomial systems, probability-one, zero.",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, Fortran. {\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{Zhu:1997:ALF,
author = "Ciyou Zhu and Richard H. Byrd and Peihuang Lu and
Jorge Nocedal",
title = "{Algorithm 778}. {L-BFGS-B}: {Fortran} Subroutines for
{Large-Scale} Bound Constrained Optimization",
journal = j-TOMS,
volume = "23",
number = "4",
pages = "550--560",
month = dec,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/279232.279236;
http://www.acm.org/pubs/citations/journals/toms/1997-23-4/p550-zhu/",
ISSN = "0098-3500",
abstract = "L-BFGS-B is a limited-memory algorithm for solving
large nonlinear optimization problems subject to simple
bounds on the variables. It is intended for problems in
which information on the Hessian matrix is difficult to
obtain, or for large dense problems. L-BFGS-B can also
be user for unconstrained problems and in this case
performs similarly to its predecessor, algorithm L-BFGS
(Harwell routine VA15). The algorithm is implemented in
Fortran 77.",
accepted = "April 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms, large-scale optimization, limited-memory
method, nonlinear optimization, variable metric
method.",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, Fortran. G.1.6 [Numerical Analysis]:
Optimization -- constrained optimization; gradient
methods; nonlinear programming; G.4 [Mathematics of
Computing]: Mathematical Software",
}
@Article{Karp:1997:HPD,
author = "Alan H. Karp and Peter Markstein",
title = "High-Precision Division and Square Root",
journal = j-TOMS,
volume = "23",
number = "4",
pages = "561--589",
month = dec,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/279232.279237",
ISSN = "0098-3500",
bibdate = "Thu Nov 8 14:50:37 2007",
URL = "http://www.acm.org/pubs/citations/journals/toms/1997-23-4/p561-karp/;
http://www.acm.org/pubs/articles/journals/toms/forthcoming/a0-karp/a0-karp.ps",
abstract = "We present division and square root algorithms for
calculation with more bits than are handled by the
floating-point hardware. These algorithms avoid the
need to multiply two high-precision numbers, speeding
up the last iteration by as much as a factor of 10. We
also show how to produce the floating-point number
closest to the exact result with relatively few
additional operations.",
accepted = "June 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms, performance, division, quad precision,
square root.",
subject = "G.1.0 [Numerical Analysis]: General -- computer
arithmetic. G.4 [Mathematics of Computing]:
Mathematical Software.",
}
@Article{MacLeod:1998:AFD,
author = "Allan J. MacLeod",
title = "{Algorithm 779}: {Fermi--Dirac} Functions of Order
$-1/2, 1/2, 3/2, 5/2$",
journal = j-TOMS,
volume = "24",
number = "1",
pages = "1--12",
month = mar,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/285861.285862;
http://www.acm.org/pubs/citations/journals/toms/1998-24-1/p1-macleod/",
ISSN = "0098-3500",
abstract = "The computations of Fermi--Dirac ${\cal F}_k$
integrals is discussed for the values $k = -1, 1/2,
3/2, 5/2$. We derive Chebyshev polynomial expansions
which allow the computation of these functions to
double precision IEEE accuracy.",
accepted = "May 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms, Chebyshev polynomials, collocation,
Fermi--Dirac, floating-point arithmetic.",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN. {\bf F.2.1}: Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Numerical Algorithms and Problems. {\bf
G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation.",
}
@Article{Sharp:1998:GHO,
author = "P. W. Sharp and J. H. Verner",
title = "Generation of High-order Interpolants for Explicit
{Runge--Kutta} Pairs",
journal = j-TOMS,
volume = "24",
number = "1",
pages = "13--29",
month = mar,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/285861.285863;
http://www.acm.org/pubs/citations/journals/toms/1998-24-1/p13-sharp/",
ISSN = "0098-3500",
abstract = "Explicit Runge--Kutta paris can be enhanced by
providing them with interpolants. Enhancements include
the ability to estimate and control the defect, to
produce dense output, and to calculate past values in
delay differential equations. The coefficients of an
interpolant are easily generated by bootstrapping on
the order conditions. However, the generation of
high-order interpolants requires a large number of
arithmetic operations. We describe an efficient
algorithm for the generation of high-order interpolants
and illustrate the use of the algorithm with three
applications.",
accepted = "June 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms, explicit, generation, high order,
interpolants, pairs, Runge--Kutta.",
subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL
ANALYSIS, Ordinary Differential Equations.",
}
@Article{Houstis:1998:PPS,
author = "E. N. Houstis and J. R. Rice and S. Weerawarana and A.
C. Catlin and P. Papachiou and K.-Y. Wang and M.
Gaitatzes",
title = "{PELLPACK}: {A} Problem Solving Environment for {PDE}
Based Applications on Multicomputer Platforms",
journal = j-TOMS,
volume = "24",
number = "1",
pages = "30--73",
month = mar,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/285861.285864;
http://www.acm.org/pubs/citations/journals/toms/1998-24-1/p30-houstis/",
ISSN = "0098-3500",
abstract = "This article presents the software architecture and
implementation of the problem-solving environment (PSE)
PELLPACK for modeling physical objects described by
partial differential equations (PDEs). The scope of
this PDE is broad, as PELLPACK incorporates many PDE
solving systems, and some of these, in turn, include
several specific PDE solving methods. Its coverage for
1D, 2D, and 3D elliptic or parabolic problems is quite
broad, and it handles some hyperbolic problems. Since a
PSE should provide complete support for the
problem-solving process, PELLPACK also contains a large
amount of code to support graphical user interfaces,
analytic tools, user help, domain or mesh partitioning,
machine and data selection, visualization, and various
other tasks. Its total size is well over 1 million
lines of code. Its open-ended software architecture
consists of several software layers. The top layer is
an interactive graphical interface for specifying the
PDE model and its solution framework. This interface
saves the results of the user specification in the form
of a very high level PDE language which is an alternate
interface to the PELLPACK system. This language also
allows a user to specify the PDE problem and its
solution framework textually in a natural form. The
PELLPACK language preprocessor generates a Fortran
control program with the interfaces, calls to specified
components and libraries of the PDE solution framework,
and functions defining the PDE problem. The PELLPACK
program execution is supported by a high-level tool
where the virtual parallel system is defined, where the
execution mode, file system, and hardware resources are
selected, and where the compilation, loading, and
execution are controlled. Finally, the PELLPACK PSE
integrates several PDE libraries and PDE systems
available in the public domain. The system employs
several parallel reuse methodologies based on the
decomposition of discrete geometric data to map sparse
PDE computations to parallel machines. An instance of
the system is available as a Web server (WebPELLPACK)
for public use at http://pellpack.cs.purdue.edu.",
accepted = "June 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms, design, languages, management,
performance, execution models, knowledge bases,
libraries, parallel reuse methodologies, PDE language,
problem-solving environments, programming-in-the-large,
software bus.",
subject = "{\bf C.3}: Computer Systems Organization,
SPECIAL-PURPOSE AND APPLICATION-BASED SYSTEMS. {\bf
D.2.6}: Software, SOFTWARE ENGINEERING, Programming
Environments, Graphical environments, interactive
environments and integrated environments. {\bf D.2.11}:
Software, SOFTWARE ENGINEERING, Software Architectures,
Domain-specific architectures. {\bf D.3.2}: Software,
PROGRAMMING LANGUAGES, Language Classifications, Very
high-level languages. {\bf G.1.8}: Mathematics of
Computing, NUMERICAL ANALYSIS, Partial Differential
Equations, Domain decomposition methods, elliptic
equations, hyperbolic equations, iterative solution
techniques, multigrid and multilevel methods, and
parabolic equations. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, Parallel and vector
implementations. {\bf I.2.5}: Computing Methodologies,
ARTIFICIAL INTELLIGENCE, Programming Languages and
Software, Expert system tools and techniques. {\bf
J.2}: Computer Applications, PHYSICAL SCIENCES AND
ENGINEERING, Engineering, and mathematics and
statistics.",
}
@Article{Gupta:1998:DIE,
author = "Anshul Gupta and Fred G. Gustavson and Mahesh Joshi
and Sivan Toledo",
title = "The Design, Implementation and Evaluation of a
Symmetric Banded Linear Solver for Distributed-Memory
Parallel Computers",
journal = j-TOMS,
volume = "24",
number = "1",
pages = "74--101",
month = mar,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/285861.285865;
http://www.acm.org/pubs/citations/journals/toms/1998-24-1/p74-gupta/",
ISSN = "0098-3500",
abstract = "This article describes the design, implementation, and
evaluation of a parallel algorithm for the Cholesky
factorization of symmetric banded matrices. The
algorithm is part of IBM's parallel engineering and
scientific subroutine library version 1.2 and is
compatible with ScaLAPACK's banded solver. Analysis, as
well as experiments on an IBM SP2 distributed-memory
parallel computer, shows that the algorithm efficiently
factors banded matrices with wide bandwidth. For
example, a 31-mode SP2 factors a large matrix more than
16 times faster than a single node would factor it
using the best sequential algorithm, and more than 20
times faster than a single node would using LAPACK's
DPBTRF. The algorithm uses novel ideas in the area of
distributed dense-matrix computations that include the
use of a dynamic schedule for a blocked systolic-like
algorithm and the separation of the input and output
layouts from the layout the algorithm uses internally.
The algorithm alson uses known techniques such as
blocking to improve its communication-to-computation
ratio and its data-cache behavior.",
accepted = "June 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "Algorithms, performance, banded matrices, Cholesky
factorization, distributed memory, parallel
algorithms.",
subject = "{\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 design
and analysis, and efficiency.",
}
@Article{Hamilton:1998:AEP,
author = "K. G. Hamilton",
title = "{Algorithm 780}: Exponential Pseudorandom
Distribution",
journal = j-TOMS,
volume = "24",
number = "1",
pages = "102--106",
month = mar,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/285861.285866;
http://www.acm.org/pubs/citations/journals/toms/1998-24-1/p102-hamilton/",
ISSN = "0098-3500",
abstract = "An algorithm is presented for the calculation of
exponentially distributed random numbers. It is based
on mathematics that was published by Ahrend and Dieter,
but some errors have been corrected.",
accepted = "June 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "algorithms, exponential distribution, random numbers,
pseudorandom numbers.",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, Fortran 90. {\bf G.3}: Mathematics of
Computing, PROBABILITY AND STATISTICS, Random number
generation. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE, Certification and testing. {\bf
I.6.0}: Computing Methodologies, SIMULATION AND
MODELING, General.",
}
@Article{Fulton:1998:CSD,
author = "Charles T. Fulton and Steven Pruess",
title = "The Computation of Spectral Density Functions for
Singular {Sturm--Liouville} Problems Involving Simple
Continuous Spectra",
journal = j-TOMS,
volume = "24",
number = "1",
pages = "107--129",
month = mar,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/285861.285867;
http://www.acm.org/pubs/citations/journals/toms/1998-24-1/p107-fulton/",
ISSN = "0098-3500",
abstract = "The software package SLEDGE has as one of its options
the estimation of spectral density functions $p(t)$ for
a wide class of singular Sturm--Liouville problems. In
this article the underlying theory and implementation
issues are discussed. Several examples exhibiting quite
varied asymptotic behavior in $p$ are presented.",
accepted = "June 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "Algorithms, performance, continuous spectrum,
eigenfunction norm, eigenvalue, limit circle, limit
point, oscillatory, singular endpoints, spectral
density functions, Sturm--Liouville problems.",
subject = "{\bf G.1.7}: Mathematics of Computing, NUMERICAL
ANALYSIS, Ordinary Differential Equations, Boundary
value problems. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE, Algorithm design and analysis.",
}
@Article{Sidje:1998:ESP,
author = "Roger B. Sidje",
title = "{EXPOKIT}: Software Package for Computing Matrix
Exponentials",
journal = j-TOMS,
volume = "24",
number = "1",
pages = "130--156",
month = mar,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/285861.285868;
http://www.acm.org/pubs/citations/journals/toms/1998-24-1/p130-sidje/",
ISSN = "0098-3500",
abstract = "Expokit provides a set of routines aimed at computing
matrix exponentials. More precisely, it computes either
a small matrix exponential in full, the action of a
large sparse matrix exponential on an operand vector,
or the solution of a system of linear ODEs with
constant inhomogeneity. The backbone of the sparse
routines consists of matrix-free Krylov subspace
projection methods (Arnoldi and Lanczos processes), and
that is why the toolkit is capable of coping with
sparse matrices of large dimension. The software
handles real and complex matrices and provides specific
routines for symmetric and Hermitian matrices. The
computation of matrix exponentials is a numerical issue
of critical importance in the area of Markov chains and
furthermore, the computed solution is subject to
probabilistic constraints. In addition to addressing
general matrix exponentials, a distinct attention is
assigned to the computation of transient states of
Markov chains.",
accepted = "June 1997",
acknowledgement = ack-rfb # " and " # ack-kr,
keywords = "Algorithms, Krylov methods, Markov chains, matrix
exponential.",
subject = "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra. {\bf G.1.7}:
Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
Differential Equations, Initial value problems. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL
SOFTWARE.",
}
@Article{Chow:1998:OFB,
author = "Edmond Chow and Michael A. Heroux",
title = "An object-oriented framework for block
preconditioning",
journal = j-TOMS,
volume = "24",
number = "2",
pages = "159--183",
month = jun,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/290200.287639",
ISSN = "0098-3500",
bibdate = "Mon Feb 8 17:51:43 MST 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-2/p159-chow/",
abstract = "General software for preconditioning the iterative
solution of linear systems is greatly lagging behind
the literature. This is partly because specific
problems and specific matrix and preconditioner data
structures in order to be solved efficiently, i.e.,
multiple implementations of a preconditioner with
specialized data structures are required. This article
presents a framework to support preconditioning with
various, possibly user-defined, data structures for
matrices that are partitioned into blocks. The main
idea is to define data structures for the blocks, and
an upper layer of software which uses these blocks
transparently of their data structure. This
transparency can be accomplished by using an
object-oriented language. Thus, various
preconditioners, such as block relaxations and
block-incomplete factorizations, only need to be
defined once and will work with any block type. In
addition, it is possible to transparently interchange
various approximate or exact techniques for inverting
pivot blocks, or solving systems whose coefficient
matrices are diagonal blocks. This leads to a rich
variety of preconditioners that can be selected.
Operations with the blocks are performed with optimized
libraries or fundamental data types. Comparisons with
an optimized Fortran 77 code on both workstations and
Cray supercomputers show that this framework can
approach the efficiency of Fortran 77, as long as
suitable block sized and block types are chosen.",
acknowledgement = ack-nhfb,
keywords = "design",
subject = "{\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, structured, and very large systems
(direct and iterative methods). {\bf G.4} Mathematics
of Computing, MATHEMATICAL SOFTWARE. {\bf F.2.1} Theory
of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Numerical Algorithms and Problems,
Computations on matrices.",
}
@Article{Breinholt:1998:AGH,
author = "Greg Breinholt and Christoph Schierz",
title = "{Algorithm 781}: generating {Hilbert}'s space-filling
curve by recursion",
journal = j-TOMS,
volume = "24",
number = "2",
pages = "184--189",
month = jun,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/290200.290219",
ISSN = "0098-3500",
bibdate = "Mon Feb 8 17:51:43 MST 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-2/p184-breinholt/",
abstract = "An efficient algorithm for the generation of Hilbert's
space-filling curve is given. The algorithm implements
a recursive procedure that involves simple integer
operations and quickly converges to the set of points
that make the Hilbert curve. The algorithm is elegant,
short, and considerably easier to implement than
previous recursive and nonrecursive algorithms and can
be efficiently implemented in all programming languages
that have integer operations and allow recursion. The
fundamental Hilbert shape (a line joining the four
corners of a square) is represented by two variables
with values of either 0 or 1. This coding technique
could be successfully applied to the generation of
other regular space-filling curves, such as the Peano
curve.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf F.2.2} Theory of Computation, ANALYSIS OF
ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
Algorithms and Problems, Geometrical problems and
computations. {\bf I.3.3} Computing Methodologies,
COMPUTER GRAPHICS, Picture/Image Generation, Line and
curve generation. {\bf I.3.5} Computing Methodologies,
COMPUTER GRAPHICS, Computational Geometry and Object
Modeling, Curve, surface, solid, and object
representations.",
}
@Article{Bik:1998:AGS,
author = "Aart J. C. Bik and Peter J. H. Brinkhaus and Peter M.
W. Knijnenburg and Harry A. G. Wijshoff",
title = "The automatic generation of sparse primitives",
journal = j-TOMS,
volume = "24",
number = "2",
pages = "190--225",
month = jun,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/290200.287636",
ISSN = "0098-3500",
bibdate = "Mon Feb 8 17:51:43 MST 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-2/p190-bik/",
abstract = "Primitives in mathematical software are usually
written and optimized by hand. With the implementation
of a ``sparse compiler'' that is capable of
automatically converting a dense program into sparse
code, however, a completely different approach to the
generation of sparse primitives can be taken. A {\em
dense\/} implementation of a particular primitive is
supplied to the sparse compiler, after which it can be
converted into many different {\em sparse\/} versions
of this primitive. Each version is specifically
tailored to a class of sparse matrices having a
specific nonzero structure. In this article, we discuss
some of our experiences with this new approach.",
acknowledgement = ack-nhfb,
keywords = "algorithms; experimentation; performance",
subject = "{\bf G.1.3} Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra, Sparse, structured,
and very large systems (direct and iterative methods).
{\bf D.1.2} Software, PROGRAMMING TECHNIQUES, Automatic
Programming. {\bf D.3.4} Software, PROGRAMMING
LANGUAGES, Processors, Compilers. {\bf E.2} Data, DATA
STORAGE REPRESENTATIONS. {\bf G.1.3} Mathematics of
Computing, NUMERICAL ANALYSIS, Numerical Linear
Algebra, Matrix inversion. {\bf F.2.1} Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Numerical Algorithms and Problems,
Computations on matrices.",
}
@Article{Bischof:1998:CRQ,
author = "Christian H. Bischof and G. Quintana--Ort{\'\i}",
title = "Computing rank-revealing {$QR$} factorizations of
dense matrices",
journal = j-TOMS,
volume = "24",
number = "2",
pages = "226--253",
month = jun,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/290200.287637",
ISSN = "0098-3500",
bibdate = "Mon Feb 8 17:51:43 MST 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-2/p226-bischof/",
abstract = "We develop algorithms and implementations for
computing rank-revealing QR (RRQR) factorizations of
dense matrices. First, we develop an efficient block
algorithm for approximating an RRQR factorization,
employing a windowed version of the commonly used Golub
pivoting strategy, aided by incremental condition
estimation. Second, we develop efficiently
implementable variants of guaranteed reliable RRQR
algorithms for triangular matrices originally suggested
by Chandrasekaran and Ipsen and by Pan and Tang. We
suggest algorithmic improvements with respect to
condition estimation, termination criteria, and Givens
updating. By combining the block algorithm with one of
the triangular postprocessing steps, we arrive at an
efficient and reliable algorithm for computing an RRQR
factorization of a dense matrix. Experimental results
on IBM RS/6000 SGI R8000 platforms show that this
approach performs up to three times faster that the
less reliable QR factorization with column pivoting as
it is currently implemented in LAPACK, and comes within
15\% of the performance of the LAPACK block algorithm
for computing a QR factorization without any column
exchanges. Thus, we expect this routine to be useful in
may circumstances where numerical rank deficiency
cannot be ruled out, but currently has been ignored
because of the computational cost of dealing with it.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\bf G.1.3} Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra. {\bf G.4}
Mathematics of Computing, MATHEMATICAL SOFTWARE. {\bf
F.2.1} Theory of Computation, ANALYSIS OF ALGORITHMS
AND PROBLEM COMPLEXITY, Numerical Algorithms and
Problems, Computations on matrices.",
}
@Article{Bischof:1998:ACR,
author = "C. H. Bischof and G. Quintana-Ort{\'\i}",
title = "{Algorithm 782}: {Codes} for rank-revealing {$QR$}
factorizations of dense matrices",
journal = j-TOMS,
volume = "24",
number = "2",
pages = "254--257",
month = jun,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/290200.287638",
ISSN = "0098-3500",
bibdate = "Mon Feb 8 17:51:43 MST 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-2/p254-bischof/",
abstract = "This article describes a suite of codes as well as
associated testing and timing drivers for computing
rank-revealing QR (RRQR) factorizations of dense
matrices. The main contribution is an efficient block
algorithm for approximating an RRQR factorization,
employing a windowed version of the commonly used Golub
pivoting strategy and improved versions of the RRQR
algorithms for triangular matrices originally suggested
by Chandrasekaran and Ipsen and by Pan and Tang,
respectively, We highlight usage and features of these
codes.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\bf D.3.2} Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN 77. {\bf G.1.3} Mathematics of
Computing, NUMERICAL ANALYSIS, Numerical Linear
Algebra. {\bf G.4} Mathematics of Computing,
MATHEMATICAL SOFTWARE, Mathematica.",
}
@Article{Peters:1998:APF,
author = "J{\"o}rg Peters",
title = "{Algorithm 783}: {Pcp2Nurb} --- smooth free-form
surfacing with linearly trimmed bicubic {B}-splines",
journal = j-TOMS,
volume = "24",
number = "3",
pages = "261--267",
month = sep,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/292395.292399",
ISSN = "0098-3500",
bibdate = "Mon Feb 8 17:51:43 MST 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-3/p261-peters/",
abstract = "Unrestricted control polyhedra facilitate modeling
free-form surfaces of arbitrary topology and local
patch-layout by allowing {\em n\/}-sided, possibly
nonplanar, facets and {\em m\/}-valent vertices. By
cutting off edges and corners, the smoothing of an
unrestricted control polyhedron can be reduced to the
smoothing of a {\em planar-cut polyhedron\/}. A
planar-cut polyhedron is a generalization of the
well-known tensor-product control structure. The
routine Pcp2Nurb in turn translates planar-cut
polyhedra to a collection of four-sided linearly
trimmed bicubic B-splines and untrimmed biquadratic
B-splines. The routine can thus serve as central
building block for overcoming topological constraints
in the mathematical modeling of smooth surfaces that
are stored, transmitted, and rendered using only the
standard representation in industry. Specifically, on
input of a nine-point subnet of a planar-cut
polyhedron, the routine outputs a trimmed bicubic NURBS
patch. If the subnet does not have geometrically
redundant edges, this patch joins smoothly with patches
from adjacent subnets as a four-sided piece of a
regular {\em C1\/} surface. The patch integrates
smoothly with untrimmed biquadratic tensor-product
surfaces derived from subnets with tensor-product
structure. Sharp features can be retained in this
representation by using geometrically redundant edges
in the planar-cut polyhedron. The resulting surface
follows the outlines of the planar-cut polyhedron in
the manner traditional tensor-product splines follow
the outline of their rectilinear control polyhedron. In
particular, it stays in the local convex hull of the
planar-cut polyhedron.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf I.3.5} Computing Methodologies, COMPUTER
GRAPHICS, Computational Geometry and Object Modeling,
Splines. {\bf D.3.2} Software, PROGRAMMING LANGUAGES,
Language Classifications, C. {\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 I.3.5} Computing Methodologies,
COMPUTER GRAPHICS, Computational Geometry and Object
Modeling, Boundary representations.",
}
@Article{Kaagstrom:1998:GLB,
author = "Bo K{\aa}gstr{\"o}m and Per Ling and Charles Van
Loan",
title = "{GEMM-based} level 3 {BLAS}: high-performance model
implementations and performance evaluation benchmark",
journal = j-TOMS,
volume = "24",
number = "3",
pages = "268--302",
month = sep,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/292395.292412",
ISSN = "0098-3500",
bibdate = "Mon Feb 8 17:51:43 MST 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-3/p268-kagstrom/",
abstract = "The level 3 Basic Linear Algebra Subprograms (BLAS)
are designed to perform various matrix multiply and
triangular system solving computations. Due to the
complex hardware organization of advanced computer
architectures the development of optimal level 3 BLAS
code is costly and time consuming. However, it is
possible to develop a portable and high-performance
level 3 BLAS library mainly relying on a highly
optimized GEMM, the routine for the general matrix
multiply and add operation. With suitable partitioning,
all the other level 3 BLAS can be defined in terms of
GEMM and a small amount of level 1 and level 2
computations. Our contribution is twofold. First, the
model implementations in Fortran 77 of the GEMM-based
level 3 BLAS are structured to reduced effectively data
traffic in a memory hierarchy. Second, the GEMM-based
level 3 BLAS performance evaluation benchmark is a tool
for evaluating and comparing different implementations
of the level 3 BLAS with the GEMM-based model
implementations.",
acknowledgement = ack-nhfb,
keywords = "algorithms; measurement; performance",
subject = "{\bf G.1.3} Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra, Linear systems
(direct and iterative methods). {\bf D.3.2} Software,
PROGRAMMING LANGUAGES, Language Classifications,
FORTRAN 77. {\bf F.2.1} Theory of Computation, ANALYSIS
OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical
Algorithms and Problems, Computations on matrices. {\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**. {\bf G.4} Mathematics of Computing,
MATHEMATICAL SOFTWARE, Reliability and robustness. {\bf
G.4} Mathematics of Computing, MATHEMATICAL SOFTWARE,
Verification**.",
}
@Article{Kaagstrom:1998:AGL,
author = "Bo K{\aa}gstr{\"o}m and Per Ling and Charles Van
Loan",
title = "{Algorithm 784}: {GEMM-based} level 3 {BLAS}:
portability and optimization issues",
journal = j-TOMS,
volume = "24",
number = "3",
pages = "303--316",
month = sep,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/292395.292426",
ISSN = "0098-3500",
bibdate = "Mon Feb 8 17:51:43 MST 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-3/p303-kagstrom/",
abstract = "This companion article discusses portability and
optimization issues of the GEMM-based level 3 BLAS
model implementations and the performance evaluation
benchmark. All software comes in all four data types
(single- and double-precision, real and complex) and
are designed to be easy to implement and use on
different platforms. Each of the GEMM-based routines
has a few machine-dependent parameters that specify
internal block sizes, cache characteristics, and branch
points for alternative code sections. These parameters
provide means for adjustment to the characteristics of
a memory hierarchy.",
acknowledgement = ack-nhfb,
keywords = "algorithms; measurement; performance",
subject = "{\bf D.3.2} Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN 77. {\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, Certification and testing. {\bf G.4}
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Efficiency. {\bf G.4} Mathematics of Computing,
MATHEMATICAL SOFTWARE, Portability**. {\bf G.4}
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Reliability and robustness. {\bf G.4} Mathematics of
Computing, MATHEMATICAL SOFTWARE, Verification**.",
}
@Article{Hu:1998:ASP,
author = "Chenglie Hu",
title = "{Algorithm 785}: a software package for computing
{Schwarz--Christoffel} conformal transformation for
doubly connected polygonal regions",
journal = j-TOMS,
volume = "24",
number = "3",
pages = "317--333",
month = sep,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/292395.291204",
ISSN = "0098-3500",
bibdate = "Mon Feb 8 17:51:43 MST 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-3/p317-hu/",
abstract = "A software package implementing Schwarz--Christoffel
Conformal transformation (or mapping) of doubly
connected polygonal regions is fully described in this
article from mathematical, numerical, and practical
perspectives. The package solves the so-called
accessory parameter problem associated with the mapping
function as well as evaluates forward and inverse maps.
The robustness of the package is reflected by the
flexibility in choosing the accuracy of the parameters
to be computed, the speed of computation, the ability
of mapping ``difficult'' regions (to be specified in
Section 2), and being user friendly. Several examples
are presented to demonstrate the capabilities of the
package.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.m} Mathematics of Computing, NUMERICAL
ANALYSIS, Miscellaneous. {\bf G.4} Mathematics of
Computing, MATHEMATICAL SOFTWARE, Efficiency. {\bf G.4}
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Reliability and robustness.",
}
@Article{Espelid:1998:RAD,
author = "Terje O. Espelid",
title = "Remark on {Algorithm 706}: {DCUTRI} --- an algorithm
for adaptive cubature over a collection of triangles",
journal = j-TOMS,
volume = "24",
number = "3",
pages = "334--335",
month = sep,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/292395.291205",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:18:39 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
note = "See \cite{Berntsen:1992:ADA}.",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-3/p334-espelid/",
abstract = "We present corrections to {Algorithm 706} ({\em ACM
Trans. Math. Softw.\/} 18, 3, Sept. 1992, pages
329-342; CALGO supplement 123).",
acknowledgement = ack-nhfb,
keywords = "algorithms; reliability",
subject = "{\bf G.1.4} Mathematics of Computing, NUMERICAL
ANALYSIS, Quadrature and Numerical Differentiation,
Adaptive and iterative quadrature. {\bf G.1.4}
Mathematics of Computing, NUMERICAL ANALYSIS,
Quadrature and Numerical Differentiation,
Multidimensional (multiple) quadrature. {\bf G.4}
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Efficiency. {\bf G.4} Mathematics of Computing,
MATHEMATICAL SOFTWARE, Reliability and robustness.",
}
@Article{Levin:1998:RAS,
author = "Stewart A. Levin",
title = "Remark on {Algorithm 622}: a simple macroprocessor",
journal = j-TOMS,
volume = "24",
number = "3",
pages = "336--340",
month = sep,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/292395.292448",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:17:52 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
note = "See \cite{Rice:1984:ASM}.",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-3/p336-levin/",
abstract = "A number of updates to the macroprocessor are
described that bring the code into line with the
Fortran 77 standard. This is followed by an outline of
how the macroprocessor was used for the rapid porting
of geophysical software from a 64-bit supercomputer
environment to a number of different Unix workstations.
Finally a number of deficiencies remaining in the
macroprocessor are noted and workarounds suggested
where possible.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf D.3.2} Software, PROGRAMMING LANGUAGES, Language
Classifications, Macro and assembly languages. {\bf
D.3.2} Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN 77. {\bf D.3.4} Software,
PROGRAMMING LANGUAGES, Processors, Preprocessors.",
}
@Article{Marsaglia:1998:MPM,
author = "George Marsaglia and Wai Wan Tsang",
title = "The {Monty Python} method for generating random
variables",
journal = j-TOMS,
volume = "24",
number = "3",
pages = "341--350",
month = sep,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/292395.292453;
http://www.acm.org:80/pubs/citations/journals/toms/1998-24-3/p341-marsaglia/",
ISSN = "0098-3500",
bibdate = "Mon Feb 8 17:51:43 MST 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
abstract = "We suggest an interesting and fast method for
generating normal, exponential, $t$, von Mises, and
certain other important random variables used in Monte
Carlo studies. The right half of a symmetric density is
cut into pieces, then, using simple area-preserving
transformations, reassembled into a rectangle from
which the $x$-coordinate---or a linear function of the
$x$-coordinate---of a random point provides the
required variate. To illustrate the speed and
simplicity of the Monty Python method, we provide a
small C program, self-contained, for rapid generation
of normal (Gaussian) variables. It is self-contained in
the sense that required uniform variates are generated
in-line, as pairs of 16-bit integers by means of the
remarkable new multiply-with-carry method.",
acknowledgement = ack-nhfb,
keywords = "$t$ variates; algorithms; Monte Carlo studies; Monty
Python method; normal variates; random variable
generation; theory; von Mises variates",
subject = "{\bf G.3} Mathematics of Computing, PROBABILITY AND
STATISTICS. {\bf I.6.1} Computing Methodologies,
SIMULATION AND MODELING, Simulation Theory.",
ZMclass = "*65C10 Random number generation 65C05 Monte Carlo
methods",
ZMnumber = "0930.65002",
}
@Article{Hopkins:1998:CAF,
author = "Tim Hopkins",
title = "Certification of {Algorithm 734}: a {Fortran 90} code
for unconstrained nonlinear minimization",
journal = j-TOMS,
volume = "24",
number = "3",
pages = "351--354",
month = sep,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/292395.292460",
ISSN = "0098-3500",
bibdate = "Mon Feb 8 17:51:43 MST 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-3/p351-hopkins/",
abstract = "A Fortran 90 Code for Unconstrained Nonlinear
Minimization ({\em ACM Trans. Math. Softw. 20\/}, 3
(Sept. 1994), pages 354-372; CALGO Supplement 131) was
ported to a number of compiler-platform combinations.
The necessary changes to the code are given along with
some comparative timings.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf D.3.2} Software, PROGRAMMING LANGUAGES, Language
Classifications, Fortran 90. {\bf G.4} Mathematics of
Computing, MATHEMATICAL SOFTWARE, Certification and
testing. {\bf G.1.6} Mathematics of Computing,
NUMERICAL ANALYSIS, Optimization, Gradient methods.",
}
@Article{Gautschi:1998:RAO,
author = "Walter Gautschi",
title = "Remark on {Algorithm 726}: {ORTHPOL} --- {A} package
of routines for generating orthogonal polynomials and
{Gauss}-type quadrature rules",
journal = j-TOMS,
volume = "24",
number = "3",
pages = "355--355",
month = sep,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/292395.292467",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:16:21 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
note = "See \cite{Gautschi:1994:ACP}.",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-3/p355-gautschi/",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.2} Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation. {\bf G.1.4} Mathematics of
Computing, NUMERICAL ANALYSIS, Quadrature and Numerical
Differentiation. {\bf G.4} Mathematics of Computing,
MATHEMATICAL SOFTWARE.",
}
@Article{Smith:1998:AMP,
author = "David M. Smith",
title = "{Algorithm 786}: Multiple-Precision Complex Arithmetic
and Functions",
journal = j-TOMS,
volume = "24",
number = "4",
pages = "359--367",
month = dec,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/293686.293687",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:09:51 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
note = "See also
\cite{Bailey:1995:FBM,Brent:1978:AMF,Brent:1979:RMF,Brent:1980:AIB}.",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-4/p359-smith/",
abstract = "The article describes a collection of Fortran routines
for multiple-precision complex arithmetic and
elementary functions. The package provides good
exception handling, flexible input and output, trace
features, and results that are almost always correctly
rounded. For best efficiency on different machines, the
user can change the arithmetic type used to represent
the multiple-precision numbers.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance; reliability",
subject = "{\bf G.1.0} Mathematics of Computing, NUMERICAL
ANALYSIS, General, Computer arithmetic. {\bf G.1.2}
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation. {\bf
G.4} Mathematics of Computing, MATHEMATICAL SOFTWARE,
Algorithm design and analysis. {\bf G.4} Mathematics of
Computing, MATHEMATICAL SOFTWARE, Efficiency. {\bf G.4}
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Portability**.",
}
@Article{Ekeland:1998:SDE,
author = "Kersti Ekeland and Brynjulf Owren and Eivor {\O}ines",
title = "Stiffness Detection and Estimation of Dominant Spectra
with Explicit {Runge--Kutta} Methods",
journal = j-TOMS,
volume = "24",
number = "4",
pages = "368--382",
month = dec,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/293686.287641",
ISSN = "0098-3500",
bibdate = "Mon Feb 8 17:51:43 MST 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-3/p368-ekeland/",
abstract = "A new stiffness detection scheme based on explicit
Runge--Kutta methods is proposed. It uses a Krylov
subspace approximation to estimate the eigenvalues of
the Jacobian of the differential system. The numerical
examples indicate that this technique is a worthwhile
alternative to other known stiffness detection schemes,
especially when the systems are large and when it is
desirable to know more about the spectrum of the
Jacobian than just the spectral radius.",
acknowledgement = ack-nhfb,
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,
One-step (single step) methods. {\bf G.1.7} Mathematics
of Computing, NUMERICAL ANALYSIS, Ordinary Differential
Equations, Stiff equations.",
}
@Article{Renka:1998:RA,
author = "Robert J. Renka and Ron Brown",
title = "Remark on {Algorithm 761}",
journal = j-TOMS,
volume = "24",
number = "4",
pages = "383--385",
month = dec,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/293686.293689;
http://www.acm.org:80/pubs/citations/journals/toms/1998-24-4/p383-renka/",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:12:24 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
note = "See \cite{Akima:1996:ASS,deTisi:2000:RAS}.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf D.3.2} Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN. {\bf G.1.1} Mathematics of
Computing, NUMERICAL ANALYSIS, Interpolation,
Interpolation formulas. {\bf G.4} Mathematics of
Computing, MATHEMATICAL SOFTWARE.",
}
@Article{Resende:1998:AFS,
author = "Mauricio G. C. Resende and Thomas A. Feo and Stuart H.
Smith",
title = "{Algorithm 787}: {Fortran} Subroutines for Approximate
Solution of Maximum Independent Set Problems Using
{GRASP}",
journal = j-TOMS,
volume = "24",
number = "4",
pages = "386--394",
month = dec,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/293686.293690",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 10:13:13 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-4/p386-resende/",
abstract = "Let G=(V, E) be an undirected graph where V and E are
the sets of ver tices and edges of G, respectively. A
subset of the vertices S *** V is independent if all of
its members are pairwise nonadjacent, i.e., have no
edge between them. A solution to the NP-hard maximum
independent set problem is an independent set of
maximum cardinality. This article describes gmis, a set
of Fortran subroutines to find an approximate solution
of a maximum independent set problem. A greedy
randomized adaptive search procedure (GRASP) is used to
produce the solutions. The algorithm is described in
detail. Implementation and usage of the package is
outlined, and computational experiments are reported,
illustrating solution quality as a function of running
time.",
acknowledgement = ack-nhfb,
keywords = "algorithms; performance",
subject = "{\bf D.3.2} Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN. {\bf G.1.6} Mathematics of
Computing, NUMERICAL ANALYSIS, Optimization, Integer
programming. {\bf G.2.1} Mathematics of Computing,
DISCRETE MATHEMATICS, Combinatorics, Combinatorial
algorithms. {\bf G.m} Mathematics of Computing,
MISCELLANEOUS.",
}
@Article{Atkinson:1998:AAB,
author = "Kendall Atkinson and Youngmok Jeon",
title = "{Algorithm 787}: {Automatic} Boundary Integral
Equation Programs for the Planar {Laplace} Equation",
journal = j-TOMS,
volume = "24",
number = "4",
pages = "395--417",
month = dec,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/293686.293692",
ISSN = "0098-3500",
bibdate = "Mon Feb 8 17:51:43 MST 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-4/p395-atkinson/",
abstract = "Algorithms with automatic error control are described
for the solution of Laplace's equation on both interior
and exterior regions, with both Dirichlet and Neumann
boundary conditions. The algorithms are based on
standard reformulations of each boundary value problem
as a boundary integral equation of the second kind. The
Nystr{\"o}m method is used to solve the integral
equations, and convergence of arbitrary high order is
observed when the boundary data are analytic. The
Kelvin transformation is introduced to allow a simple
conversion between internal and external problems. Two
Fortran program implementations, DRCHLT and NEUMAN, are
defined, analyzed, and illustrated.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf D.3.2} Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN. {\bf G.1.8} Mathematics of
Computing, NUMERICAL ANALYSIS, Partial Differential
Equations. {\bf G.1.9} Mathematics of Computing,
NUMERICAL ANALYSIS, Integral Equations.",
}
@Article{Govaerts:1998:IHD,
author = "W. Govaerts and F. W. O. Kuznetsov and B. Sijnave",
title = "Implementation of {Hopf} and Double-{Hopf}
Continuation Using Bordering Methods",
journal = j-TOMS,
volume = "24",
number = "4",
pages = "418--436",
month = dec,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/293686.293693",
ISSN = "0098-3500",
bibdate = "Mon Feb 8 17:51:43 MST 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-4/p418-govaerts/",
abstract = "We discuss the computational study of curves of Hopf
and double-Hopf points in the software package CONTENT
developed at CWI, Amsterdam. These are important points
in the numerical study of dynamical systems
characterized by the occurrence of one or two conjugate
pairs of pure imaginary eigenvalues in the spectrum of
the Jacobian matrix. The bialternate product of
matrices is extensively used in three codes for the
numerical continuation of curves of Hopf points and in
one for the continuation of curves of double-Hopf
points. In the double-Hopf and two of the single-Hopf
cases this is combined with a bordered matrix method.
We use this software to find special points on a Hopf
curve in a model of chemical oscillations and by
computing a Hopf and a double-Hopf curve in a realistic
model of a neuron.",
acknowledgement = ack-nhfb,
keywords = "algorithms; design",
subject = "{\bf D.2.6} Software, SOFTWARE ENGINEERING,
Programming Environments. {\bf G.1.7} Mathematics of
Computing, NUMERICAL ANALYSIS, Ordinary Differential
Equations. {\bf G.4} Mathematics of Computing,
MATHEMATICAL SOFTWARE.",
}
@Article{Giering:1998:RAC,
author = "Ralf Giering and Thomas Kaminski",
title = "Recipes for Adjoint Code Construction",
journal = j-TOMS,
volume = "24",
number = "4",
pages = "437--474",
month = dec,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/293686.293695",
ISSN = "0098-3500",
bibdate = "Mon Feb 8 17:51:43 MST 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-4/p437-giering/",
abstract = "Adjoint models are increasingly being developed for
use in meteorology and oceanography. Typical
applications are data assimilation, model tuning,
sensitivity analysis, and determination of singular
vectors. The adjoint model computes the gradient of a
cost function with respect to control variables.
Generation of adjoint code may be seen as the special
case of differentiation of algorithms in reverse mode,
where the dependent function is a scalar. The described
method for adjoint code generation is based on a few
basic principles, which permits the establishment of
simple construction rules for adjoint statements and
complete adjoint subprograms. These rules are presented
and illustrated with some examples. Conflicts that
occur due to loops and redefinition of variables are
also discussed. Direct coding of the adjoint of a more
sophisticated model is extremely time consuming and
subject to errors. Hence, automatic generation of
adjoint code represents a distinct advantage. An
implementation of the method, described in this
article, is the tangent linear and adjoint model
compiler (TAMC).",
acknowledgement = ack-nhfb,
keywords = "algorithms; theory",
subject = "{\bf D.3.4} Software, PROGRAMMING LANGUAGES,
Processors, Preprocessors. {\bf G.1.4} Mathematics of
Computing, NUMERICAL ANALYSIS, Quadrature and Numerical
Differentiation, Automatic differentiation. {\bf G.1.6}
Mathematics of Computing, NUMERICAL ANALYSIS,
Optimization, Gradient methods. {\bf I.2.2} Computing
Methodologies, ARTIFICIAL INTELLIGENCE, Automatic
Programming, Program transformation.",
}
@Article{Berzins:1998:SAS,
author = "M. Berzins and R. Fairlie and S. V. Pennington and J.
M. Ware and L. E. Scales",
title = "{SPRINT2D}: adaptive software for {PDEs}",
journal = j-TOMS,
volume = "24",
number = "4",
pages = "475--499",
month = dec,
year = "1998",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/293686.293696",
ISSN = "0098-3500",
bibdate = "Mon Feb 8 17:51:43 MST 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-4/p475-berzins/",
abstract = "SPRINT2D is a set of software tools for solving both
steady and unstea dy partial differential equations in
two-space variables. The software consists of a set of
coupled modules for mesh generation, spatial
discretization, time integration, nonlinear equations,
linear algebra, spatial adaptivity, and visualization.
The software uses unstructured triangular meshes and
adaptive local error control in both space and time.
the class of problems solved includes systems of
parabolic, elliptic, and hyperbolic equations; for the
latter by use of Riemann-solve-based methods. This
article describes the software and show how the
adaptive techniques may be used to increase the
reliability of the solution for a Burgers' equations
problem, an electrostatics problem from
elastohydrodynamic lubrication, and a challenging gas
jet problem.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.8} Mathematics of Computing, NUMERICAL
ANALYSIS, Partial Differential Equations, Method of
lines. {\bf G.1.8} Mathematics of Computing, NUMERICAL
ANALYSIS, Partial Differential Equations, Hyperbolic
equations. {\bf G.1.8} Mathematics of Computing,
NUMERICAL ANALYSIS, Partial Differential Equations,
Elliptic equations. {\bf G.4} Mathematics of Computing,
MATHEMATICAL SOFTWARE.",
}
@Article{Anonymous:1998:AI,
author = "Anonymous",
title = "1998 Author Index",
journal = j-TOMS,
volume = "24",
number = "4",
pages = "500--502",
month = dec,
year = "1998",
CODEN = "ACMSCU",
ISSN = "0098-3500",
bibdate = "Tue Mar 09 17:22:53 1999",
acknowledgement = ack-nhfb,
xxURL = "Missing from ACM Digital Library",
}
@Article{Davis:1999:CUM,
author = "Timothy A. Davis and Iain S. Duff",
title = "Combined Unifrontal\slash Multifrontal Method for
Unsymmetric Sparse Matrices",
journal = j-TOMS,
volume = "25",
number = "1",
pages = "1--20",
month = mar,
year = "1999",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/305658.287640",
ISSN = "0098-3500",
bibdate = "Thu Jul 15 19:01:02 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1999-25/",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1999-25-1/p1-davis/;
http://www.acm.org/pubs/citations/journals/toms/cgi-bin/TOMSbibget?Davis:1999:CUM",
abstract = "We discuss the organization of frontal matrices in
multifrontal methods for the solution of large sparse
sets of unsymmetric linear equations. In the
multifrontal method, work on a frontal matrix can be
suspended, the frontal matrix can be stored for later
reuse, and a new frontal matrix can be generated. There
are thus several frontal matrices stored during the
factorization, and one or more of these are assembled
(summed) when creating a new frontal matrix. Although
this means that arbitrary sparsity patterns can be
handled efficiently, extra work is required to sum the
frontal matrices together and can be costly because
indirect addressing is required. The (uni)frontal
method avoids this extra work by factorizing the matrix
with a single frontal matrix. Rows and columns are
added to the frontal matrix, and pivot rows and columns
are removed. Data movement is simpler, but higher
fill-in can result if the matrix cannot be permuted
into a variable-band form with small profile. We
consider a combined unifrontal/multifrontal algorithm
to enable general fill-in reduction orderings to be
applied without the data movement of previous
multifrontal approaches. We discuss this technique in
the context of a code designed for the solution of
sparse systems with unsymmetric pattern.",
acknowledgement = ack-nhfb,
keywords = "algorithms; experimentation; performance",
subject = "{\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, structured, and very large systems
(direct and iterative methods). {\bf G.4} Mathematics
of Computing, MATHEMATICAL SOFTWARE, Algorithm design
and analysis.",
}
@Article{Pryce:1999:TPS,
author = "J. D. Pryce",
title = "A Test Package for {Sturm--Liouville} Solvers",
journal = j-TOMS,
volume = "25",
number = "1",
pages = "21--57",
month = mar,
year = "1999",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/305658.287651",
ISSN = "0098-3500",
bibdate = "Thu Jul 15 19:01:02 1999",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1999-25-1/p21-pryce/p21-pryce/;
http://www.acm.org/pubs/citations/journals/toms/cgi-bin/TOMSbibget?Pryce:1999:TPS",
abstract = "The author and colleagues have produced a collection
of 60 test problems which offer a realistic performance
test of the currently available automatic codes for
eigenvalues of the classical Sturm--Liouville problem.
We describe a Fortran implementation and the
considerations that went into its design. A novel
feature is that (almost) all the code defining one
problem is textually contiguous in the Fortran text,
unlike for example the DETEST package for ODE
initial-value solvers where the definition of a problem
is spread over several routines. The described
implementation forms the infrastructure of the SLDRVER
interactive package which supports exploration of a set
of Sturm--Liouville problems with the four SL-solvers
SLEIGN, SLEDGE, SL02F, and SLEIGN2. A ``standard'' set
of 60 problems is provided, but it is simple to replace
this by another one.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf D.2.5} Software, SOFTWARE ENGINEERING, Testing
and Debugging. {\bf D.3.2} Software, PROGRAMMING
LANGUAGES, Language Classifications, FORTRAN 77. {\bf
G.1.7} Mathematics of Computing, NUMERICAL ANALYSIS,
Ordinary Differential Equations, Boundary value
problems. {/bf G.4} Mathematics of Computing,
MATHEMATICAL SOFTWARE, Certification and testing. {/bf
I.2.4} Computing Methodologies, ARTIFICIAL
INTELLIGENCE, Knowledge Representation Formalisms and
Methods.",
}
@Article{Pryce:1999:AST,
author = "J. D. Pryce",
title = "{Algorithm 789}: {SLTSTPAK}: {A} Test Package for
{Sturm--Liouville} Solvers",
journal = j-TOMS,
volume = "25",
number = "1",
pages = "58--69",
month = mar,
year = "1999",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/305658.287652",
ISSN = "0098-3500",
bibdate = "Thu Jul 15 19:01:02 1999",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1999-25-1/p58-pryce/;
http://www.acm.org/pubs/citations/journals/toms/cgi-bin/TOMSbibget?Pryce:1999:AST;
http://www.netlib.org/toms/789;
ftp://netlib.bell-labs.com/netlib/toms/789.gz;
http://www.netlib.no/netlib/toms/789;
http://www.hensa.ac.uk/netlib/toms/789.gz;
http://phase.etl.go.jp/netlib/toms/789",
abstract = "We give technical details of the Sturm--Liouville test
package SLTSTPAK, complementing the companion article
(this issue) on its design. SLTSTPAK comprises the
following: a specification of how to write a routine
TSTSET containing a set of Sturm--Liouville problems; a
number of routines that act as a harness between a
TSTSET, written to this specification, and a driver
program. A set of 60 standard problems is provided, but
it is simple to replace this by another one.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{/bf D.2.5} Software, SOFTWARE ENGINEERING, Testing
and Debugging. {\bf D.3.2} Software, PROGRAMMING
LANGUAGES, Language Classifications, FORTRAN 77. {\bf
D.3.2} Software, PROGRAMMING LANGUAGES, Language
Classifications, Fortran 90. {\bf G.1.7} Mathematics of
Computing, NUMERICAL ANALYSIS, Ordinary Differential
Equations, Boundary value problems. {\bf G.4}
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Certification and testing.",
}
@Article{Renka:1999:ACC,
author = "R. J. Renka",
title = "{Algorithm 790}: {CSHEP2D}: Cubic {Shepard} Method for
Bivariate Interpolation of Scattered Data",
journal = j-TOMS,
volume = "25",
number = "1",
pages = "70--73",
month = mar,
year = "1999",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/305658.305737",
ISSN = "0098-3500",
bibdate = "Thu Jul 15 19:01:02 1999",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1999-25-1/p70-renka/;
http://www.acm.org/pubs/citations/journals/toms/cgi-bin/TOMSbibget?Renka:1999:ACC;
http://www.netlib.org/toms/790;
ftp://netlib.bell-labs.com/netlib/toms/790.gz;
http://www.netlib.no/netlib/toms/790;
http://www.hensa.ac.uk/netlib/toms/790.gz;
http://phase.etl.go.jp/netlib/toms/790",
abstract = "We describe a new algorithm for scattered data
interpolation. The method is similar to that of
Algorithm 660 but achieves cubic precision and C2
continuity at very little additional cost. An
accompanying article presents test results that show
the method to be among the most accurate available.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.1} Mathematics of Computing, NUMERICAL
ANALYSIS, Interpolation. {\bf D.3.2} Software,
PROGRAMMING LANGUAGES, Language Classifications,
FORTRAN 77. {\bf G.1.2} Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation. {\bf G.4}
Mathematics of Computing, MATHEMATICAL SOFTWARE.",
}
@Article{Renka:1999:ATC,
author = "R. J. Renka and Ron Brown",
title = "{Algorithm 791}: {TSHEP2D}: Cosine series {Shepard}
Method for Bivariate Interpolation of Scattered Data",
journal = j-TOMS,
volume = "25",
number = "1",
pages = "74--77",
month = mar,
year = "1999",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/305658.305754",
ISSN = "0098-3500",
bibdate = "Thu Jul 15 19:01:02 1999",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1999-25-1/p74-renka/;
http://www.acm.org/pubs/citations/journals/toms/cgi-bin/TOMSbibget?Renka:1999:ATC;
http://www.netlib.org/toms/791;
ftp://netlib.bell-labs.com/netlib/toms/791.gz;
http://www.netlib.no/netlib/toms/791;
http://www.hensa.ac.uk/netlib/toms/791.gz;
http://phase.etl.go.jp/netlib/toms/791",
abstract = "We describe a new algorithm for scattered data
interpolation. It is based on a modified Shepard method
similar to that of Algorithm 660 but uses 10-parameter
cosine series nodal functions in place of quadratic
polynomials. Also, the interpolant has continuous
second partial derivatives. An accompanying survey
article presents test results that show the method to
be more accurate that polynomial-based methods in terms
of reproducing test functions with large variations and
steep gradients.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.1} Mathematics of Computing, NUMERICAL
ANALYSIS, Interpolation. {\bf D.3.2} Software,
PROGRAMMING LANGUAGES, Language Classifications,
FORTRAN 77. {\bf G.1.2} Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation. {\bf G.4}
Mathematics of Computing, MATHEMATICAL SOFTWARE.",
}
@Article{Renka:1999:AAT,
author = "R. J. Renka and Ron Brown",
title = "{Algorithm 792}: Accuracy Tests of {ACM} Algorithms
for Interpolation of Scattered Data in the Plane",
journal = j-TOMS,
volume = "25",
number = "1",
pages = "78--94",
month = mar,
year = "1999",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/305658.305745",
ISSN = "0098-3500",
bibdate = "Thu Jul 15 19:01:02 1999",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1999-25-1/p78-renka/;
http://www.acm.org/pubs/citations/journals/toms/cgi-bin/TOMSbibget?Renka:1999:AAT;
http://www.netlib.org/toms/792;
ftp://netlib.bell-labs.com/netlib/toms/792.gz;
http://www.netlib.no/netlib/toms/792;
http://www.hensa.ac.uk/netlib/toms/792.gz;
http://phase.etl.go.jp/netlib/toms/792",
abstract = "We present results of accuracy tests on scattered-data
fitting methods that have been published as ACM
algorithms. The algorithms include seven
triangulation-based methods and three modified Shepard
methods, two of which are new algorithms. Our purpose
is twofold: to guide potential users in the selection
of an appropriate algorithm and to provide a test suite
for assessing the accuracy of new methods (or existing
methods that are not included in this survey). Our test
suite consists of five sets of nodes, with nodes counts
ranging from 25 to 100, and 10 test functions. These
are made available in the form of three Fortran
subroutines: TESTDT returns one of the node sets;
TSTFN1 returns a value and, optionally, a gradient
value, of one of the test function; and TSTFN2 returns
a value, first partials, and second partial derivatives
of one of the test functions.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.1} Mathematics of Computing, NUMERICAL
ANALYSIS, Interpolation. {\bf D.3.2} Software,
PROGRAMMING LANGUAGES, Language Classifications,
FORTRAN 77. {\bf G.1.2} Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation. {\bf G.4}
Mathematics of Computing, MATHEMATICAL SOFTWARE.",
}
@Article{Testa:1999:RA,
author = "F. J. Testa and R. J. Renka",
title = "Remark on {Algorithm 716}",
journal = j-TOMS,
volume = "25",
number = "1",
pages = "95--96",
month = mar,
year = "1999",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/305658.287656",
ISSN = "0098-3500",
bibdate = "Thu Jul 15 19:01:02 1999",
note = "See \cite{Renka:1993:ATT}.",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1999-25-1/p95-testa/;
http://www.acm.org/pubs/citations/journals/toms/cgi-bin/TOMSbibget?Testa:1999:RA;
http://www.acm.org/pubs/citations/journals/toms/cgi-bin/TOMScitation?Renka:1993:ATT",
abstract = "The curve-fitting package TSPACK has been converted to
double precision. Also, portability has been improved
by eliminating some potential errors.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf G.1.1} Mathematics of Computing, NUMERICAL
ANALYSIS, Interpolation. {\bf G.1.2} Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation. {\bf G.4}
Mathematics of Computing, MATHEMATICAL SOFTWARE.",
}
@Article{Renka:1999:RAa,
author = "R. J. Renka",
title = "Remark on {Algorithm 751}",
journal = j-TOMS,
volume = "25",
number = "1",
pages = "97--98",
month = mar,
year = "1999",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/305658.305726",
ISSN = "0098-3500",
bibdate = "Thu Jul 15 19:01:02 1999",
note = "See \cite{Renka:1996:ATC}.",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1999-25-1/p97-renka/;
http://www.acm.org/pubs/citations/journals/toms/cgi-bin/TOMSbibget?Renka:1999:RAa;
http://www.acm.org/pubs/citations/journals/toms/cgi-bin/TOMScitation?Renka:1996:ATC",
abstract = "The triangulation package TRIPACK has been revised to
run more efficiently and to eliminate some potential
errors. Al