@Preamble{
"\hyphenation{
}"
}
@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-wjc = "William J. Cody, Jr.,
977 Roslyn Road,
Glen Ellyn, IL 60137,
USA"}
@String{inst-ANL = "Argonne National Laboratory"}
@String{inst-ANL:adr = "9700 South Cass Avenue, Argonne, IL
60439-4801, USA"}
@String{j-CACM = "Communications of the Association for
Computing Machinery"}
@String{j-COMPUTER = "Computer"}
@String{j-IEEE-MICRO = "IEEE Micro"}
@String{j-IEEE-TRANS-COMPUT = "IEEE Transactions on Computers"}
@String{j-J-APPROX-THEORY = "J. Approx. Theory"}
@String{j-MATH-COMPUT = "Mathematics of Computation"}
@String{j-NUM-MATH = "Numerische Mathematik"}
@String{j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI = "Proceedings of the Royal
Society of London. Series A, Mathematical
and physical sciences"}
@String{j-SIAM-REVIEW = "SIAM Review"}
@String{j-SIGNUM = "ACM SIGNUM Newsletter"}
@String{j-TOMS = "ACM Transactions on Mathematical Software"}
@String{pub-ACADEMIC = "Academic Press"}
@String{pub-ACADEMIC:adr = "New York, NY, USA"}
@String{pub-ACM = "ACM Press"}
@String{pub-ACM:adr = "New York, NY 10036, USA"}
@String{pub-AFIPS = "AFIPS Press"}
@String{pub-AFIPS:adr = "Montvale, NJ, USA"}
@String{pub-AP = "Academic Press"}
@String{pub-AP:adr = "New York, NY, USA"}
@String{pub-ENH = "Elsevier North-Holland, Inc."}
@String{pub-ENH:adr = "New York, NY, USA"}
@String{pub-IEEE = "IEEE Computer Society Press"}
@String{pub-IEEE:adr = "1109 Spring Street, Suite 300, Silver
Spring, MD 20910, USA"}
@String{pub-NH = "North-Hol{\-}land"}
@String{pub-NH:adr = "Amsterdam, The Netherlands"}
@String{pub-PETROCELLI-CHARTER = "Petrocelli\slash Charter"}
@String{pub-PETROCELLI-CHARTER:adr = "New York, NY, USA"}
@String{pub-PH = "Pren{\-}tice-Hall"}
@String{pub-PH:adr = "Englewood Cliffs, NJ 07632, USA"}
@String{pub-PRINDLE-WEBER-SCHMIDT = "Prindle, Weber and Schmidt"}
@String{pub-PRINDLE-WEBER-SCHMIDT:adr = "Boston, MA, USA"}
@String{pub-SIAM = "Society for Industrial and Applied
Mathematics"}
@String{pub-SIAM:adr = "Philadelphia, PA, USA"}
@String{pub-SV = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg,
Germany~/ London, UK~/ etc."}
@Article{Cody:1964:DPS,
author = "W. J. {Cody, Jr.}",
title = "Double-Precision Square Root for the {CDC-3600}",
journal = j-CACM,
volume = "7",
number = "12",
pages = "715--718",
month = dec,
year = "1964",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/355588.365122",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Wed Aug 31 14:02:05 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
abstract = "In January of 1960, the late Hans J. Maehly completed
a summary of approximations to the elementary functions
for the CDC-1604 computer. The approximations and
techniques suggested by Maehly are equally applicable
to the second large computer in the CDC line, the 3600.
Unlike the 1604, however, the 3600 has built-in
double-precision floating-point arithmetic. The present
work, largely inspired by the successes of Maehly and
his associates, concerns the extension of one of
Maehly's ideas to a double-precision subroutine for the
3600.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "$sqrt(x)$; CDC 3600; elementary functions",
}
@Article{Cody:1964:ESS,
author = "W. J. Cody and Joan Lawson and Sir Harrie {Massey,
F.R.S.} and K. Smith",
title = "The elastic scattering of slow positrons by hydrogen
atoms",
journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
volume = "278",
pages = "479--489",
year = "1964",
CODEN = "PRLAAZ",
ISSN = "0080-4630",
bibdate = "Thu Nov 17 10:20:07 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-wjc,
fjournal = "Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences",
journal-URL = "http://rspa.royalsocietypublishing.org/content/current",
xxmonth = "(none)",
xxnumber = "(none)",
}
@TechReport{Fisherkeller:1964:TCE,
author = "M. A. Fisherkeller and W. J. {Cody, Jr.}",
title = "Tables of the Complete Elliptic Integrals ${K}$,
${K}'$, ${E}$, and ${E}'$",
type = "Technical Memo",
number = "ANL AMD 71",
institution = inst-ANL,
address = inst-ANL:adr,
pages = "14",
year = "1964",
bibdate = "Thu Nov 17 10:44:21 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "See review by John W. Wrench in Mathematics of
Computation, {\bf 19}(89--92), 342, 1965.",
acknowledgement = ack-nhfb,
}
@Article{Cody:1965:CAC,
author = "W. J. {Cody, Jr.}",
title = "{Chebyshev} Approximations for the Complete Elliptic
Integrals ${K}$ and ${E}$",
journal = j-MATH-COMPUT,
volume = "19",
number = "89--92",
pages = "105--112",
month = apr,
year = "1965",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65.05",
MRnumber = "30\#1601",
bibdate = "Fri Oct 23 11:10:16 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "See also \cite{Cody:1966:CCA}.",
URL = "http://www.jstor.org/stable/2004103",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Cody:1965:CPE,
author = "W. J. {Cody, Jr.}",
title = "{Chebyshev} Polynomial Expansions of Complete Elliptic
Integrals",
journal = j-MATH-COMPUT,
volume = "19",
number = "89--92",
pages = "249--259",
month = apr,
year = "1965",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65.25",
MRnumber = "31\#2820",
bibdate = "Fri Oct 23 11:10:33 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
URL = "http://www.jstor.org/stable/2003350",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Cody:1966:CCA,
author = "W. J. {Cody, Jr.}",
title = "Corrigenda: ``{Chebyshev} Approximations for the
Complete Elliptic Integrals ${K}$ and ${E}$''",
journal = j-MATH-COMPUT,
volume = "20",
number = "93",
pages = "207--207",
month = jan,
year = "1966",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Fri Oct 23 11:13:58 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "See \cite{Cody:1965:CAC}.",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Cody:1966:RCA,
author = "W. J. Cody and J. Stoer",
title = "Rational {Chebyshev} approximations using
interpolation",
journal = j-NUM-MATH,
volume = "9",
pages = "177--188",
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Tue Sep 27 17:57:45 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "See also \cite{Cody:1968:CRC}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
xxmonth = "(none)",
xxnumber = "(none)",
}
@TechReport{Clark:1967:PSF,
author = "N. A. Clark and W. J. Cody and K. E. Hillstrom and E.
A. Thieleker",
title = "Performance Statistics of the {FORTRAN IV (H)} Library
for the {IBM System\slash 360}",
type = "Technical Report",
number = "ANL-7231",
institution = "Argonne National Laboratory",
address = "Argonne, IL, USA",
year = "1967",
bibdate = "Fri Aug 20 08:47:24 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Reprinted in SHARE Secretary Distribution, SDD 169,
C4473, pp. 12 46.",
acknowledgement = ack-nhfb,
remark = "Cited in \cite{Sterbenz:1974:FPC}.",
}
@Article{Cody:1967:CAN,
author = "W. J. {Cody, Jr.} and K. E. Hillstrom",
title = "{Chebyshev} Approximations for the Natural Logarithm
of the Gamma Function",
journal = j-MATH-COMPUT,
volume = "21",
number = "98",
pages = "198--203",
month = apr,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Sep 20 17:59:24 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
URL = "http://www.jstor.org/stable/2004160",
abstract = "Rational Chebyshev approximations are given for the
natural logarithm of the real gamma function for
arguments in the intervals [0.5, 1.5], [1.5, 4.0] and
[4.0, 12.0]. Maximal relative errors range down to $1
\times 10^{-17}$.",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Cody:1967:CFI,
author = "W. J. Cody",
title = "Critique of the {FORTRAN IV (H)} Library for the {IBM
System\slash 360}",
journal = "SHARE Secretary Distribution",
volume = "SSD 169",
number = "C4473",
pages = "4--11",
year = "1967",
bibdate = "Fri Aug 20 08:52:04 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
remark = "Cited in \cite{Sterbenz:1974:FPC}.",
}
@Article{Cody:1967:CRC,
author = "W. J. Cody and Henry C. {Thacher, Jr.}",
title = "Corrigendum: ``{Rational} {Chebyshev} approximations
for {Fermi}-{Dirac} integrals of orders $-1/2$, $1/2$,
and $3/2$''",
journal = j-MATH-COMPUT,
volume = "21",
number = "99",
pages = "525--525",
month = jul,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Mon Sep 26 19:36:03 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "See \cite{Cody:1967:RCA}.",
URL = "http://www.jstor.org/stable/2003289",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@InProceedings{Cody:1967:IMD,
author = "W. J. Cody",
title = "The influence of machine design on numerical
algorithms",
crossref = "AFIPS:1967:ACP",
pages = "305--309",
year = "1967",
bibdate = "Sat Sep 24 00:18:32 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@Article{Cody:1967:LEA,
author = "William J. {Cody, Jr.}",
title = "Letter to the {Editor}: Another Aspect of Economical
Polynomials",
journal = j-CACM,
volume = "10",
number = "9",
pages = "531--531",
month = sep,
year = "1967",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Thu Nov 17 10:20:03 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "See \cite{Fike:1967:MEP}.",
abstract = "In his paper ``Methods of Evaluating Polynomial
Approximations in Function Evaluation Routines'' [Comm.
ACM 10, (March 1967)], C. T. Fike fails to discuss one
very important aspect of the ``economical'' methods for
polynomials. Since these evaluation methods involve a
decreased number of arithmetic operations over the
usual Horner's method (or at least replace a
multiplication by an addition) the implication is that
they are faster to execute. Dr. Fike points out that
these methods can be poorly conditioned for particular
polynomials, thus requiring extended precision or
fixed-point arithmetic to maintain accuracy and costing
more in time than Horner's method. But even if we
assume the methods are well conditioned, the need to
store away and retrieve intermediate results in some
machines with only one floating-point arithmetic
register can wipe out the time savings effected by a
reduction in the number of arithmetic operations. On
many of today's high-performance computers the time
required to store away and retrieve a result is about
the same as the time required for a floating-point
addition. It is no longer sufficient to estimate the
efficiency of a method by a count of arithmetic
operations alone.",
acknowledgement = ack-wjc,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
}
@Article{Cody:1967:NCA,
author = "W. J. Cody and Anthony Ralston",
title = "A Note on Computing Approximations to the Exponential
Function",
journal = j-CACM,
volume = "10",
number = "1",
pages = "53--55",
month = jan,
year = "1967",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/363018.363061",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Wed Nov 16 23:48:50 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
abstract = "Two methods are discussed which result in near minimax
rational approximations to the exponential function and
at the same time retain the desirable property that the
approximation for negative values of the argument is
the reciprocal of the approximation for corresponding
positive values. These methods lead to approximations
which are much superior to the commonly used
convergents of the Gaussian continued fraction for the
exponential. Coefficients and errors are given for the
intervals $[-1/2 \ln 2, 1/2 \ln 2]$ and $[-\ln 2, \ln
2]$. Two methods are discussed which result in near
minimax rational approximations to the exponential
function and at the same time retain the desirable
property that the approximation for negative values of
the argument is the reciprocal of the approximation for
corresponding positive values. These methods lead to
approximations which are much superior to the commonly
used convergents of the Gaussian continued fraction for
the exponential. Coefficients and errors are given for
the intervals $[-1/2 \ln 2, 1/2 \ln 2]$ and $[-\ln 2,
\ln 2]$.",
acknowledgement = ack-wjc,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "$\exp(x)$; elementary functions",
}
@Article{Cody:1967:RCA,
author = "W. J. Cody and Henry C. {Thacher, Jr.}",
title = "Rational {Chebyshev} approximations for {Fermi--Dirac}
integrals of orders $-1/2$, $1/2$, and $3/2$",
journal = j-MATH-COMPUT,
volume = "21",
number = "97",
pages = "30--40",
month = jan,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Mon Sep 26 19:23:19 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "See also \cite{Cody:1967:CRC}.",
URL = "http://www.jstor.org/stable/2003468",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Cody:1968:CAF,
author = "W. J. Cody",
title = "{Chebyshev} approximations for the {Fresnel}
integrals",
journal = j-MATH-COMPUT,
volume = "22",
number = "102",
pages = "450--453 (plus microfiche supplement)",
month = apr,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Mon Sep 26 19:23:42 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Cody:1968:CRC,
author = "W. J. Cody and J. Stoer",
title = "Corrigendum: ``{Rational} {Chebyshev} approximations
using interpolation''",
journal = j-NUM-MATH,
volume = "12",
pages = "230--230",
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Tue Sep 27 17:57:49 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "See \cite{Cody:1966:RCA}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
xxmonth = "(none)",
xxnumber = "(none)",
}
@Article{Cody:1968:RCAa,
author = "W. J. Cody and H. C. {Thacher, Jr.}",
title = "Rational {Chebyshev} approximations for the
exponential integral {$E_1(x)$}",
journal = j-MATH-COMPUT,
volume = "22",
number = "103",
pages = "641--649",
month = jul,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65.25",
MRnumber = "38\#6745",
bibdate = "Wed Jan 17 08:57:34 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Cody:1968:RCAb,
author = "W. J. Cody and W. Fraser and J. F. Hart",
title = "Rational {Chebyshev} approximations using linear
equations",
journal = j-NUM-MATH,
volume = "12",
pages = "242--251",
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Tue Sep 27 17:57:51 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
xxmonth = "(none)",
xxnote = "Volume 12 missing from U of Utah library, which
otherwise has vol. 1 to date",
xxnumber = "(none)",
}
@InProceedings{Clark:1969:SCE,
author = "N. W. Clark and W. J. Cody",
title = "Self-contained exponentiation",
crossref = "AFIPS:1969:ACPb",
pages = "701--706",
year = "1969",
bibdate = "Wed Sep 07 10:49:33 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nj,
}
@Article{Cody:1969:CAE,
author = "W. J. Cody and Henry C. {Thacher, Jr.}",
title = "{Chebyshev} Approximations for the Exponential
Integral {$\hbox{Ei}(x)$}",
journal = j-MATH-COMPUT,
volume = "23",
number = "106",
pages = "289--303",
month = apr,
year = "1969",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65.25",
MRnumber = "39\#3680",
bibdate = "Wed Jan 17 08:57:33 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Cody:1969:CRA,
author = "W. J. Cody and G. Meinardus and R. S. Varga",
title = "{Chebyshev} rational approximations to $e^{-x}$ on
$[0,\infty)$ and applications to heat conduction
problems",
journal = j-J-APPROX-THEORY,
volume = "2",
number = "??",
pages = "50--65",
month = "??",
year = "1969",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
ISSN-L = "0021-9045",
MRclass = "65.67 (41.00)",
MRnumber = "40\#999",
bibdate = "Wed Jan 17 08:57:33 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-wjc,
fjournal = "Journal of Approximation Theory",
}
@InProceedings{Cody:1969:PTF,
author = "W. J. Cody",
title = "Performance testing of function subroutines",
crossref = "AFIPS:1969:ACPa",
volume = "34",
pages = "759--763",
year = "1969",
bibdate = "Tue Sep 06 23:54:25 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nj,
}
@Article{Cody:1969:RCA,
author = "W. J. {Cody, Jr.}",
title = "Rational {Chebyshev} approximations for the error
function",
journal = j-MATH-COMPUT,
volume = "23",
number = "107",
pages = "631--637",
month = jul,
year = "1969",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Sep 20 18:01:01 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
URL = "http://www.jstor.org/stable/2004390",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Kuki:1969:SSA,
author = "H. Kuki and W. J. Cody",
title = "A Statistical Study of the Accuracy of Floating Point
Number Systems",
journal = j-CACM,
volume = "16",
number = "4",
pages = "223--230",
month = apr,
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "68A20 (65G05)",
MRnumber = "51 2344",
bibdate = "Wed Jan 17 08:56:27 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/cacm.bib,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
reviewer = "I. Kaufmann",
}
@Article{Cody:1970:CAC,
author = "W. J. Cody and K. E. Hillstrom",
title = "{Chebyshev} Approximations for the {Coulomb} Phase
Shift",
journal = j-MATH-COMPUT,
volume = "24",
number = "111",
pages = "671--677",
month = jul,
year = "1970",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65.25",
MRnumber = "42\#8661",
bibdate = "Wed Jan 17 08:57:04 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-wjc,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Cody:1970:CAD,
author = "W. J. Cody and Kathleen A. Paciorek and Henry C.
{Thacher, Jr.}",
title = "{Chebyshev} approximations for {Dawson}'s integral",
journal = j-MATH-COMPUT,
volume = "24",
number = "109",
pages = "171--178",
month = jan,
year = "1970",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65.20",
MRnumber = "41\#2883",
bibdate = "Wed Jan 17 08:57:30 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Cody:1970:RAC,
author = "W. J. Cody and Kathleen A. Paciorek",
title = "Remark on {Algorithm} 292 [{S22}]: Regular {Coulomb}
Wave Functions",
journal = j-CACM,
volume = "13",
number = "9",
pages = "573",
month = sep,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Wed Nov 16 23:58:51 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-wjc,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
}
@Article{Cody:1970:SPR,
author = "W. J. Cody",
title = "A Survey of Practical Rational and Polynomial
Approximation of Functions",
journal = j-SIAM-REVIEW,
volume = "12",
number = "3",
pages = "400--423",
month = jul,
year = "1970",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1012082",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "65.20 (41.00)",
MRnumber = "42\#2627",
bibdate = "Thu Mar 27 09:06:20 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/12/3;
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
note = "Reprinted in {\em Studies in Applied Mathematics},
{\bf 6}, SIAM, 1970, pp. 86--109.",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "July 1970",
}
@InCollection{Clark:1971:SCP,
author = "N. W. Clark and W. J. Cody and H. Kuki",
title = "Self-Contained Power Routines",
crossref = "Rice:1971:MS",
pages = "399--415",
year = "1971",
bibdate = "Thu Sep 15 18:59:23 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nj,
}
@Article{Cody:1971:CAR,
author = "W. J. Cody and K. E. Hillstrom and Henry C. {Thatcher,
Jr.}",
title = "{Chebyshev} approximations for the {Riemann} zeta
function",
journal = j-MATH-COMPUT,
volume = "25",
number = "115",
pages = "537--547",
month = jul,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65D20",
MRnumber = "47 2785",
bibdate = "Wed Jan 17 08:57:00 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-wjc,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Cody:1971:DHC,
author = "W. J. Cody",
title = "Desirable Hardware Characteristics for Scientific
Computation",
journal = j-SIGNUM,
volume = "6",
number = "1",
pages = "16--31",
month = jan,
year = "1971",
CODEN = "SNEWD6",
DOI = "https://doi.org/10.1145/1052614.1052616",
ISSN = "0163-5778 (print), 1558-0237 (electronic)",
ISSN-L = "0163-5778",
bibdate = "Tue Apr 12 07:49:57 MDT 2005",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://portal.acm.org/",
acknowledgement = ack-nhfb,
fjournal = "ACM SIGNUM Newsletter",
xxtitle = "Hardware characteristics (pages missing from print)",
}
@InCollection{Cody:1971:SEF,
author = "W. J. Cody",
title = "Software for the Elementary Functions",
crossref = "Rice:1971:MS",
pages = "171--186",
year = "1971",
bibdate = "Thu Sep 15 18:56:47 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nj,
}
@InProceedings{Boyle:1972:NCE,
author = "J. M. Boyle and W. J. Cody and W. R. Cowell and B. S.
Garbow and Y. Ikebe and C. B. Moler and B. T. Smith",
title = "{NATS}, a collaborative effort to certify and
disseminate mathematical software",
crossref = "ACM:1972:PAA",
pages = "630--635",
year = "1972",
bibdate = "Tue Sep 06 23:48:15 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@Article{Cody:1973:CAP,
author = "W. J. {Cody, Jr.} and Anthony J. Strecok and Henry C.
{Thacher, Jr.}",
title = "{Chebyshev} approximations for the psi function",
journal = j-MATH-COMPUT,
volume = "27",
number = "21",
pages = "123--127",
month = jan,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65-06 (68-06)",
MRnumber = "50 6095",
bibdate = "Wed Jan 17 08:56:54 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
URL = "http://www.jstor.org/stable/2005253",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@InProceedings{Cody:1973:EMS,
author = "W. J. Cody",
title = "The evaluation of mathematical software",
crossref = "Hetzel:1973:PCP",
pages = "121--133",
year = "1973",
bibdate = "Thu Nov 17 10:35:57 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@Article{Cody:1973:SDN,
author = "William J. {Cody, Jr.}",
title = "Static and Dynamic Numerical Characteristics of
Floating-Point Arithmetic",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-22",
number = "6",
pages = "598--601",
month = jun,
year = "1973",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/TC.1973.5009112",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Tue Jul 12 16:45:26 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5009112;
http://www.acsel-lab.com/arithmetic/arith2/papers/ARITH2_Cody.pdf",
acknowledgement = ack-nj # " and " # ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
keywords = "ARITH-2",
}
@Article{Kuki:1973:SSA,
author = "H. Kuki and W. J. Cody",
title = "A Statistical Study of the Accuracy of Floating Point
Number Systems",
journal = j-CACM,
volume = "16",
number = "4",
pages = "223--230",
month = apr,
year = "1973",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Thu Sep 1 10:14:15 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nj,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
}
@Article{Cody:1974:CNS,
author = "W. J. Cody",
title = "The Construction of Numerical Subroutine Libraries",
journal = j-SIAM-REVIEW,
volume = "16",
number = "1",
pages = "36--46",
month = jan,
year = "1974",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1016003",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Thu Mar 27 09:06:57 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/16/1;
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "January 1974",
}
@InCollection{Smith:1974:NAQ,
author = "B. T. Smith and J. M. Boyle and W. J. Cody",
title = "The {NATS} approach to quality software",
crossref = "Evans:1974:SNM",
pages = "393--405",
year = "1974",
bibdate = "Wed Sep 07 00:00:00 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@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",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Tue Sep 20 18:24:20 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/toms.bib,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
}
@InCollection{Cody:1975:OSD,
author = "W. J. Cody",
title = "An overview of software development for special
functions",
crossref = "Watson:1975:NAD",
pages = "38--48",
year = "1975",
bibdate = "Wed Sep 07 00:07:04 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Cody:1976:AT,
author = "W. J. Cody",
title = "Approximation Theory",
crossref = "Ralston:1976:ECS",
pages = "87--90",
year = "1976",
bibdate = "Thu Nov 17 00:03:05 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-wjc,
}
@InProceedings{Cody:1976:RMS,
author = "W. J. Cody",
title = "Robustness in mathematical software",
crossref = "Anonymous:1976:PIS",
pages = "76--78",
year = "1976",
bibdate = "Thu Nov 17 00:06:23 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-wjc,
}
@InProceedings{Cody:1977:CNS,
author = "W. J. Cody",
title = "The challenge in numerical software for
minicomputers",
crossref = "IEEE:1977:PAR",
pages = "1--23",
year = "1977",
bibdate = "Sat Sep 24 09:17:04 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
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 = "https://doi.org/10.1145/355744.355747",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Tue Sep 20 18:24:22 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/toms.bib,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
}
@InProceedings{Cody:1977:MPN,
author = "W. J. Cody",
title = "Machine parameters for numerical analysis",
crossref = "Cowell:1977:PMS",
pages = "49--67",
year = "1977",
bibdate = "Sat Sep 24 09:26:54 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Cody:1978:SBC,
author = "W. J. Cody",
title = "Software basics for computational mathematics",
type = "Technical Memo",
number = "ANL AMD 328",
institution = inst-ANL,
address = inst-ANL:adr,
month = nov,
year = "1978",
bibdate = "Thu Nov 17 06:48:18 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Draft form of \cite{Cody:1980:SBC}.",
acknowledgement = ack-wjc,
}
@Article{Cody:1979:IPI,
author = "W. Cody",
title = "Impact of The Proposed {IEEE} Floating Point Standard
on Numerical Software",
journal = j-SIGNUM,
volume = "14",
number = "special issue",
pages = "29--30",
month = oct,
year = "1979",
CODEN = "SNEWD6",
ISSN = "0163-5778 (print), 1558-0237 (electronic)",
ISSN-L = "0163-5778",
bibdate = "Thu Nov 17 10:35:10 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nj,
fjournal = "ACM SIGNUM Newsletter",
xxnote = "Number 3 is September, and number 4 is December; was
October a special issue? Not in U of Utah library. A
reference to this paper in \cite{Cody:19xx:GPI} says
this was an October special issue, and
\cite{Cody:1981:APF} refers to it as ``special issue on
the Proposed IEEE Floating-Point Standard, October
1979''.",
}
@TechReport{Cody:1980:PRS,
author = "W. J. Cody",
title = "Preliminary report on software for modified {Bessel}
functions of the first kind",
type = "AMD Tech. Memo TM-357",
institution = inst-ANL,
address = inst-ANL:adr,
pages = "??",
year = "1980",
bibdate = "Wed Sep 07 00:09:54 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@Article{Cody:1980:SBC,
author = "W. J. Cody",
title = "Software basics for computational mathematics",
journal = j-SIGNUM,
volume = "15",
number = "2",
pages = "18--29",
month = jun,
year = "1980",
CODEN = "SNEWD6",
ISSN = "0163-5778 (print), 1558-0237 (electronic)",
ISSN-L = "0163-5778",
bibdate = "Thu Nov 17 10:25:51 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Reprinted from ``Program Directions for Computational
Mathematics'', R. Huddleston (ed.), DOE, June 1979.",
acknowledgement = ack-nhfb,
fjournal = "ACM SIGNUM Newsletter",
}
@Book{Cody:1980:SME,
author = "William J. {Cody, Jr.} and William Waite",
title = "Software Manual for the Elementary Functions",
publisher = pub-PH,
address = pub-PH:adr,
pages = "x + 269",
year = "1980",
ISBN = "0-13-822064-6",
ISBN-13 = "978-0-13-822064-8",
LCCN = "QA331 .C635 1980",
bibdate = "Wed Dec 27 12:48:24 2000",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nj,
}
@InProceedings{Cody:1980:TSF,
author = "W. J. Cody",
title = "Towards sensible floating-point arithmetic",
crossref = "IEEE:1980:PCS",
pages = "488--490",
year = "1980",
bibdate = "Fri Sep 23 23:01:32 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@Article{Cody:1981:APF,
author = "William J. {Cody, Jr.}",
title = "Analysis of Proposals for the Floating-Point
Standard",
journal = j-COMPUTER,
volume = "14",
number = "3",
pages = "63--68",
month = mar,
year = "1981",
CODEN = "CPTRB4",
DOI = "https://doi.org/10.1109/C-M.1981.220379",
ISSN = "0018-9162 (print), 1558-0814 (electronic)",
ISSN-L = "0018-9162",
bibdate = "Sat Sep 24 09:21:33 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/tex/bib/computer1980.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/master.bib",
acknowledgement = ack-nj # " and " # ack-nhfb,
fjournal = "Computer",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2",
xxpages = "63--69",
}
@TechReport{Cody:1981:FPS,
author = "W. J. Cody",
title = "{FUNPACK}\emdash {A} Package of Special Function
Subroutines",
type = "Technical Report",
number = "TM-385",
institution = inst-ANL,
address = inst-ANL:adr,
pages = "ii + 14",
month = apr,
year = "1981",
bibdate = "Fri Sep 23 23:17:18 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Republished in \cite{Cody:1984:SPS}.",
acknowledgement = ack-nhfb,
}
@InProceedings{Cody:1982:BCC,
author = "W. J. Cody",
title = "Basic concepts for computational software",
crossref = "Messina:1982:PMM",
pages = "1--23",
year = "1982",
DOI = "https://doi.org/10.1007/3-540-11603-6_1",
bibdate = "Fri Sep 23 23:12:32 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Cody:1982:FPM,
author = "W. J. Cody",
title = "Floating-point parameters, models, and standards",
crossref = "Reid:1982:RBN",
pages = "51--69",
year = "1982",
bibdate = "Tue Sep 6 22:00:00 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
keywords = "languages; standardization",
review = "ACM CR 8402-0092",
subject = "D.3.0 Software, PROGRAMMING LANGUAGES, General,
Standards \\ G.1.0 Mathematics of Computing, NUMERICAL
ANALYSIS, General, Computer arithmetic",
}
@TechReport{Cody:1982:GPI,
author = "W. J. Cody",
title = "A Generalization of the Proposed {IEEE} Standard for
Floating-Point Arithmetic",
type = "Technical Report",
number = "??",
institution = inst-ANL,
address = inst-ANL:adr,
pages = "20",
year = "1982",
bibdate = "Thu Nov 17 10:40:11 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Republished in \cite{Cody:1983:GPI}.",
acknowledgement = ack-nhfb,
}
@InProceedings{Cody:1982:ITF,
author = "W. J. Cody",
title = "Implementation and Testing of Function Software",
crossref = "Messina:1982:PMM",
pages = "24--47",
year = "1982",
DOI = "https://doi.org/10.1007/3-540-11603-6_2",
bibdate = "Sat Sep 24 01:18:12 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
keywords = "range reduction",
}
@TechReport{Cody:1982:PRI,
author = "W. J. {Cody, Chairman}",
title = "A proposed radix-independent standard for
floating-point arithmetic, Draft 0.5e, {IEEE}
Radix-Free Floating Point Subcommittee Working Document
{P854}\slash 82-63",
institution = pub-IEEE,
address = pub-IEEE:adr,
pages = "??",
year = "1982",
bibdate = "Sat Sep 24 09:40:04 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Cody:1982:TTP,
author = "W. J. Cody",
title = "Transportable test procedures for elementary function
software",
crossref = "Mulvey:1982:EMP",
pages = "236--247",
year = "1982",
bibdate = "Thu Nov 17 06:39:08 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-wjc,
}
@Article{Cody:1983:ASM,
author = "W. J. Cody",
title = "Algorithm 597: Sequence of Modified {Bessel} Functions
of the First Kind",
journal = j-TOMS,
volume = "9",
number = "2",
pages = "242--245",
month = jun,
year = "1983",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/357456.357462",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Tue Sep 20 18:24:25 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/toms.bib,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
keywords = "algorithms",
subject = "G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation G
Mathematics of Computing, MISCELLANEOUS",
}
@InProceedings{Cody:1983:GPI,
author = "W. J. Cody",
title = "A generalization of the proposed {IEEE} standard for
floating-point arithmetic",
crossref = "Gentle:1983:CSS",
pages = "133--139",
year = "1983",
bibdate = "Thu Nov 17 10:41:05 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Republication of \cite{Cody:1982:GPI}.",
acknowledgement = ack-nhfb,
keywords = "standardization",
subject = "G.1.0 Mathematics of Computing, NUMERICAL ANALYSIS,
General, Computer arithmetic \\ K.7 Computing Milieux,
THE COMPUTING PROFESSION, Miscellaneous \\ K.1
Computing Milieux, THE COMPUTER INDUSTRY, Standards",
}
@Article{Kuki:1983:SSA,
author = "H. Kuki and W. J. Cody",
title = "A statistical study of the accuracy of floating point
number systems (Reprint)",
journal = j-CACM,
volume = "26",
number = "1",
pages = "79--83",
month = jan,
year = "1983",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Tue Sep 6 22:00:00 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Reprint of \cite{Kuki:1973:SSA}.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "design",
subject = "F.2.1 Theory of Computation, ANALYSIS OF ALGORITHMS
AND PROBLEM COMPLEXITY, Numerical Algorithms and
Problems, Number-theoretic computations G Mathematics
of Computing, PROBABILITY AND STATISTICS \\ B.2
Hardware, ARITHMETIC AND LOGIC STRUCTURES,
Miscellaneous \\ B.5 Hardware, REGISTER-TRANSFER-LEVEL
IMPLEMENTATION, Design \\ D.2 Software, SOFTWARE
ENGINEERING, General",
}
@InCollection{Cody:1984:OMS,
author = "W. J. Cody",
title = "Observations on the Mathematical Software Effort",
crossref = "Cowell:1984:SDM",
pages = "1--19",
year = "1984",
bibdate = "Wed Sep 07 10:47:50 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@Article{Cody:1984:PRW,
author = "William J. {Cody, Jr.} and Jerome T. Coonen and David
M. Gay and K. Hanson and David G. Hough and William
Kahan and Richard Karpinski and John F. Palmer and
Frederic N. Ris and David Stevenson",
title = "A Proposed Radix- and Word-length-independent Standard
for Floating-Point Arithmetic",
journal = j-IEEE-MICRO,
volume = "4",
number = "4",
pages = "86--100",
month = jul # "\slash " # aug,
year = "1984",
CODEN = "IEMIDZ",
DOI = "https://doi.org/10.1109/MM.1984.291224",
ISSN = "0272-1732 (print), 1937-4143 (electronic)",
ISSN-L = "0272-1732",
bibdate = "Thu Dec 14 06:08:58 MST 2000",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/gay-david-m.bib;
http://www.math.utah.edu/pub/tex/bib/ieeemicro.bib;
Science Citation Index database (1980--2000)",
acknowledgement = ack-nj # " and " # ack-nhfb,
classcodes = "C5230 (Digital arithmetic methods)",
classification = "723; 902; 921",
corpsource = "Argonne Nat. Lab., IL, USA",
fjournal = "IEEE Micro",
journal-URL = "http://www.computer.org/csdl/mags/mi/index.html",
keywords = "computer software; digital arithmetic; exceptions;
floating-point arithmetic; IEEE P854; independent
standard; infinity; mathematical techniques --- Digital
Arithmetic; NaNs; operations; precision; proposed
radix- and word-length-independent standard; radix
independent standard; rounding; standardization;
standards; traps; word-length-",
subject = "K.1 Computing Milieux, THE COMPUTER INDUSTRY,
Suppliers \\ G.1.0 Mathematics of Computing, NUMERICAL
ANALYSIS, General, Computer arithmetic",
treatment = "P Practical",
}
@InCollection{Cody:1984:SPS,
author = "W. J. Cody",
title = "{FUNPACK}\emdash {A} package of special function
routines",
crossref = "Cowell:1984:SDM",
pages = "49--67",
year = "1984",
bibdate = "Wed Sep 07 00:29:32 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Republication of \cite{Cody:1981:FPS}.",
acknowledgement = ack-nhfb,
}
@TechReport{Cody:1984:SSF,
author = "W. J. Cody",
title = "Software for special functions",
type = "Technical Report",
number = "ANS/MCS-TM-37",
institution = inst-ANL,
address = inst-ANL:adr,
month = oct,
year = "1984",
bibdate = "Thu Nov 17 06:40:42 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Also published as \cite{Cody:1985:SSF}.",
acknowledgement = ack-wjc,
}
@TechReport{Cody:1984:STMa,
author = "W. J. Cody",
title = "Second thoughts on the mathematical software effort: a
perspective",
number = "ANL-84-83",
institution = inst-ANL,
address = inst-ANL:adr,
pages = "18",
month = oct,
year = "1984",
bibdate = "Sat Sep 24 00:55:00 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Cody:1984:STMb,
author = "W. J. Cody",
title = "Second thoughts on the mathematical software effort: a
perspective",
crossref = "Dongarra:1984:IPS",
pages = "129--152",
year = "1984",
bibdate = "Sat Sep 24 00:42:43 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Copies of lecture slides. See \cite{Cody:1984:STMa}
for the text.",
acknowledgement = ack-nhfb,
}
@Article{Cody:1985:PRW,
author = "W. J. Cody and J. T. Coonen and D. M. Gay and K.
Hanson and D. Hough and W. Kahan and R. Karpinski and
J. Palmer and F. N. Ris and D. Stevenson",
title = "A Proposed Radix- and Word-length-independent Standard
for Floating-point Arithmetic",
journal = j-SIGNUM,
volume = "20",
number = "1",
pages = "37--51",
month = jan,
year = "1985",
CODEN = "SNEWD6",
ISSN = "0163-5778 (print), 1558-0237 (electronic)",
ISSN-L = "0163-5778",
bibdate = "Thu Sep 1 10:14:17 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nj,
fjournal = "ACM SIGNUM Newsletter",
}
@InProceedings{Cody:1985:SSF,
author = "W. J. Cody",
booktitle = "Rendiconti del Seminario Matematico, Fascicolo
Speciale, Convegno su ``Special Functions'',
Universit{\`a} e Politecnico Torino, Italy",
title = "Software for special functions",
publisher = "??",
address = "??",
pages = "91--116",
year = "1985",
ISBN = "??",
ISBN-13 = "??",
LCCN = "??",
bibdate = "Thu Nov 17 18:53:53 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Also published as \cite{Cody:1984:SSF}.",
acknowledgement = ack-wjc,
}
@TechReport{Cody:1986:ALB,
author = "W. J. Cody",
title = "An Alternative Library under 4.2 {BSD} {UNIX} on a
{VAX} 11\slash 780",
type = "Technical Report",
number = "ANL-86-10",
institution = inst-ANL,
address = inst-ANL:adr,
pages = "iii + 30",
month = feb,
year = "1986",
bibdate = "Sat Sep 24 00:36:25 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Cody:1986:ETRa,
author = "W. J. Cody",
title = "{ELEFUNT} Test Results under {X1.4} on the {Encore}
{Multimax}",
type = "Technical Report",
number = "MCS-TM-68",
institution = inst-ANL,
address = inst-ANL:adr,
pages = "11",
month = apr,
year = "1986",
bibdate = "Sat Sep 24 00:09:25 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Cody:1986:ETRb,
author = "W. J. Cody",
title = "{ELEFUNT} Test Results under {NS32000} {Fortran}
{V2.5.3} on the {Sequent} {Balance}",
type = "Technical Report",
number = "MCS-TM-80",
institution = inst-ANL,
address = inst-ANL:adr,
pages = "12",
month = sep,
year = "1986",
bibdate = "Sat Sep 24 00:12:29 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Cody:1986:ETRc,
author = "W. J. Cody",
title = "{ELEFUNT} Test Results under {FX}\slash {Fortran}
Version 1.0 on the {Alliant} {FX}\slash 8",
type = "Technical Report",
number = "MCS-TM-78",
institution = inst-ANL,
address = inst-ANL:adr,
pages = "??",
month = "??",
year = "1986",
bibdate = "Sat Sep 24 00:14:53 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Cody:1987:SPS,
author = "W. J. Cody",
title = "{SPECFUN}\emdash a portable special function package",
crossref = "Wouk:1987:NCE",
pages = "1--12",
year = "1987",
bibdate = "Wed Sep 07 00:13:51 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
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",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Fri Sep 02 22:18:03 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
URL = "http://www.acm.org/pubs/toc/Abstracts/0098-3500/51907.html",
abstract = "Numerical software written in high-level languages
often relies on machine-dependent parameters to improve
portability. MACHAR is an evolving FORTRAN subroutine
for dynamically determining thirteen fundamental
parameters associated with a floating-point arithmetic
system. The version operates correctly on a large
number of different floating-point systems, including
those implementing the new IEEE Floating-Point
Standard.",
acknowledgement = ack-nj # " and " # ack-nhfb,
affiliation = "Argonne Nat. Lab., IL, USA",
classification = "C4100 (Numerical analysis)",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
keywords = "Subroutine; Machine parameters; Machine-dependent
parameters; Portability; MACHAR; FORTRAN;
Floating-point arithmetic system; algorithms",
pubcountry = "USA",
subject = "G.4 Mathematics of Computing, MATHEMATICAL SOFTWARE,
Portability \\ G.1.0 Mathematics of Computing,
NUMERICAL ANALYSIS, General, Computer arithmetic",
thesaurus = "Numerical analysis; Software portability;
Subroutines",
}
@InCollection{Cody:1988:FSP,
author = "W. J. Cody",
title = "Floating-Point Standards --- Theory and Practice",
crossref = "Moore:1988:RCR",
pages = "99--107",
year = "1988",
bibdate = "Tue Sep 06 22:32:18 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@Article{Cody:1988:NVM,
author = "W. J. Cody",
title = "New version of {MACHAR} available",
journal = j-SIGNUM,
volume = "23",
number = "3, 4",
pages = "9--10",
month = jul # "--" # oct,
year = "1988",
CODEN = "SNEWD6",
ISSN = "0163-5778 (print), 1558-0237 (electronic)",
ISSN-L = "0163-5778",
bibdate = "Sat Aug 13 17:16:02 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/signum.bib,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM SIGNUM Newsletter",
keywords = "algorithms",
subject = "G.1.0 Mathematics of Computing, NUMERICAL ANALYSIS,
General, Computer arithmetic \\ J.2 Computer
Applications, PHYSICAL SCIENCES AND ENGINEERING, Earth
and atmospheric sciences",
}
@TechReport{Cody:1988:PEPa,
author = "W. J. {Cody, Jr.}",
title = "Performance Evaluation of Programs Related to the Real
Gamma Function",
type = "Mathematics and Computer Science Preprint",
number = "MCS-P12-0988",
institution = inst-ANL,
address = inst-ANL:adr,
pages = "??",
month = sep,
year = "1988",
bibdate = "Wed Sep 07 00:19:03 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Published in \cite{Cody:1991:PEP}.",
acknowledgement = ack-nhfb,
}
@TechReport{Cody:1988:PEPb,
author = "W. J. {Cody, Jr.}",
title = "Performance Evaluation of Programs for the Error and
Complementary Error Functions",
type = "Mathematics and Computer Science Preprint",
number = "MCS-P13-0988",
institution = inst-ANL,
address = inst-ANL:adr,
month = sep,
year = "1988",
bibdate = "Wed Sep 07 00:19:03 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Published in \cite{Cody:1990:PEP}.",
acknowledgement = ack-nhfb,
xxpages = "??",
}
@TechReport{Cody:1989:AXF,
author = "W. J. Cody",
title = "Algorithm {XXX}: Functions to Support the {IEEE}
Standard for Binary Floating-Point Arithmetic",
type = "Technical Report",
number = "MCS-P90-0789",
institution = "Mathematics and Computer Science Division, Argonne
National Laboratory",
address = "Argonne, IL, USA",
pages = "7 + 9 (C source code)",
month = jul,
year = "1989",
bibdate = "Fri Sep 23 23:57:32 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nj,
}
@TechReport{Cody:1989:ETR,
author = "W. J. Cody",
title = "{ELEFUNT} Test Results Using {Titan} {Fortran} under
{Ardent} {UNIX} 2.0 on the {Titan}",
type = "Technical Report",
number = "MCS-TM-129",
institution = inst-ANL,
address = inst-ANL:adr,
pages = "iii + 14",
month = mar,
year = "1989",
bibdate = "Sat Sep 24 00:51:20 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@Article{Cody:1989:PEP,
author = "W. J. Cody and L. Stoltz",
title = "Performance Evaluation of Programs for Certain
{Bessel} Functions",
journal = j-TOMS,
volume = "15",
number = "1",
pages = "41--48",
month = mar,
year = "1989",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/62038.62039",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Tue Sep 10 06:54:47 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/toms.bib,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Also published as Technical Report MCS-P14-0988,
Argonne National Laboratory, Argonne, IL, USA.",
URL = "http://www.acm.org/pubs/toc/Abstracts/0098-3500/62039.html",
abstract = "Presents methods for performance evaluation of the K
Bessel functions. Accuracy estimates are based on
comparisons involving the multiplication theorem. Some
ideas for checking robustness are also given. The
techniques used are easily extended to the Y Bessel
functions and, with a little more effort, to the I and
J functions. Details on a specific implementation for
testing the K Bessel functions are included.",
acknowledgement = ack-nhfb,
affiliation = "Argonne Nat. Lab., IL, USA",
classification = "C1120 (Analysis); C7310 (Mathematics)",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
keywords = "algorithms; performance; reliability; verification;
Accuracy estimates; Performance evaluation; K Bessel
functions; Comparisons; Multiplication theorem;
Robustness; Testing; K Bessel functions",
pubcountry = "USA",
review = "ACM CR 8911-0825",
subject = "G.4 Mathematics of Computing, MATHEMATICAL SOFTWARE,
Certification and testing \\ G.4 Mathematics of
Computing, MATHEMATICAL SOFTWARE, Reliability and
robustness \\ G.1.0 Mathematics of Computing, NUMERICAL
ANALYSIS, General, Numerical algorithms",
thesaurus = "Bessel functions; Mathematics computing; Performance
evaluation; Program testing; Software packages;
Subroutines",
}
@TechReport{Cody:1989:UTS,
author = "W. J. Cody and L. Stoltz",
title = "The Use of {Taylor} Series to Test Accuracy of
Function Programs",
type = "Technical Report",
number = "MCS-P61-0289",
institution = inst-ANL,
address = inst-ANL:adr,
pages = "??",
month = feb,
year = "1989",
bibdate = "Fri Sep 23 23:35:09 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Published in \cite{Cody:1991:UTS}.",
acknowledgement = ack-nhfb,
}
@InCollection{Cody:1990:APF,
author = "W. J. Cody",
title = "Analysis of Proposals for the Floating-Point
Standard",
crossref = "Swartzlander:1990:CAb",
pages = "312--316",
year = "1990",
bibdate = "Fri Jan 27 14:23:18 2006",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Reprint of \cite{Cody:1981:APF}. The citation of that
source in the book is incorrectly listed as volume 20,
1987, instead of the correct volume 14, 1981.",
acknowledgement = ack-nhfb,
}
@TechReport{Cody:1990:AXS,
author = "W. J. Cody",
title = "Algorithm {XXX}: {SPECFUN}: {A} Portable Package of
Special Functions and Test Drivers",
type = "Technical Report",
number = "MCS-P179-0990",
institution = inst-ANL,
address = inst-ANL:adr,
pages = "10",
month = sep,
year = "1990",
bibdate = "Sat Sep 24 00:01:01 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Cody:1990:ETR,
author = "W. J. Cody",
title = "{ELEFUNT} Test Results under {AST Fortran V1.8.0} on
the {Sequent Symmetry}",
type = "Technical Report",
number = "MCS-TM-138",
institution = inst-ANL,
address = inst-ANL:adr,
pages = "??",
month = jul,
year = "1990",
bibdate = "Sat Sep 24 00:04:40 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
abstract = "This report discusses testing of the floating-point
arithmetic and of the elementary function libraries
under AST Fortran on a 24-processor Sequent Symmetry
computer. The programs MACHAR and PARANOIA were used to
check the quality of arithmetic, and the ELEFUNT suite
of programs from the book \emph{Software Manual for the
Elementary Functions} by Cody and Waite was used to
check function performance. Two complete sets of tests
were run, one for each type of floating-point
processor, Intel 80387 and Weitek 1167, on the
machine.",
acknowledgement = ack-nhfb,
}
@TechReport{Cody:1990:NI,
author = "W. J. Cody",
title = "The Normal Integral",
type = "Technical Report",
number = "MCS-P189-1090",
institution = inst-ANL,
address = inst-ANL:adr,
pages = "2 + 4 (C source code)",
month = nov,
year = "1990",
bibdate = "Fri Sep 23 23:59:35 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@Article{Cody:1990:PEP,
author = "W. J. {Cody, Jr.}",
title = "Performance Evaluation of Programs for the Error and
Complementary Error Functions",
journal = j-TOMS,
volume = "16",
number = "1",
pages = "29--37",
month = mar,
year = "1990",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/77626.77628",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
MRclass = "65-04 (65G05)",
MRnumber = "1 073 407",
bibdate = "Tue Oct 09 09:29:47 2007",
bibsource = "http://www.math.utah.edu/pub/tex/bib/toms.bib,
http://www.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)",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
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",
}
@TechReport{Cody:1991:CPT,
author = "W. J. Cody",
title = "{CELEFUNT}: {A} Portable Test Package for Complex
Elementary Functions",
type = "Technical Report",
number = "ANL-91/1",
institution = inst-ANL,
address = inst-ANL:adr,
pages = "iii + 21",
month = jan,
year = "1991",
bibdate = "Fri Sep 23 23:39:07 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Cody:1991:KAA,
author = "W. J. Cody",
title = "Keynote Address: Arithmetic Standards: The Long Road",
crossref = "Kornerup:1991:PIS",
pages = "ix--ix",
year = "1991",
bibdate = "Sat Nov 17 08:46:25 2007",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
URL = "http://www.acsel-lab.com/arithmetic/arith10/papers/ARITH10_keynote.pdf",
acknowledgement = ack-nhfb,
keywords = "ARITH-10",
}
@Article{Cody:1991:PEP,
author = "W. J. {Cody, Jr.}",
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 = "https://doi.org/10.1145/103147.103153",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
MRclass = "65D20 (65Y20)",
MRnumber = "91m:65052",
bibdate = "Wed Jan 17 08:56:21 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/toms.bib,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Preprint in \cite{Cody:1988:PEPa}.",
URL = "http://www.acm.org/pubs/toc/Abstracts/0098-3500/103153.html",
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,
affiliation = "Div. of Math. Comput. Sci., Argonne Nat. Lab., IL,
USA",
classification = "C7310 (Mathematics); C4100 (Numerical analysis)",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
keywords = "Performance evaluation; Real gamma function programs;
Accuracy estimates; Robustness checking; Multiplication
theorem; measurement; performance; reliability",
pubcountry = "USA",
subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL
ANALYSIS, General, Numerical algorithms. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Certification and testing.",
thesaurus = "Mathematics computing; Numerical analysis; Performance
evaluation; Program testing",
}
@Article{Cody:1991:UTS,
author = "W. J. {Cody, Jr.} 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 = "https://doi.org/10.1145/103147.103154",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
MRclass = "65D20 (65Y20)",
MRnumber = "91m:65053",
bibdate = "Wed Jan 17 08:55:10 1996",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
URL = "http://www.acm.org/pubs/toc/Abstracts/0098-3500/103154.html",
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-nj # " and " # ack-nhfb,
affiliation = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., IL,
USA",
classification = "C7310 (Mathematics); C4100 (Numerical analysis)",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
keywords = "Accuracy testing; Function programs; Local Taylor
series expansions; Computer programs; Special
functions; Exponential integrals; Bessel functions;
Dawson integrals; Error functions; algorithms;
measurement; performance; verification",
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 = "Mathematics computing; Numerical analysis; Program
testing",
}
@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",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Tue Sep 20 18:24:35 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/toms.bib,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
URL = "http://www.acm.org/pubs/toc/Abstracts/0098-3500/151272.html",
abstract = "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)",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
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:AFS,
author = "W. J. Cody and J. 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",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Thu Sep 1 10:14:44 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
URL = "http://www.acm.org/pubs/toc/Abstracts/0098-3500/168185.html",
abstract = "This paper describes C programs for the support
functions copysign(x,y), logb(x), scalb(x,n),
nextafter(x,y), finite(x), and isnan(x) recommended in
the Appendix to the IEEE Standard for Binary
Floating-Point Arithmetic. In the case of logb, the
modified definition given in the later 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-nj # " and " # ack-nhfb,
affiliation = "Argonne Nat. Lab., IL, USA",
classification = "C7310 (Mathematics); C6130 (Data handling
techniques); C5230 (Digital arithmetic methods)",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
keywords = "Numerical software; IEEE Standard for Binary
Floating-point arithmetic; C programs; Copysign(x,y);
Logb(x); Scalb(x,n); Nextafter(x,y); Finite(x);
Isnan(x); algorithms; copysign; finite; isnan; logb;
manipulative functions; nextafter; scalb",
pubcountry = "USA",
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{Cody:1993:ASP,
author = "W. J. {Cody, Jr.}",
title = "Algorithm 715: {SPECFUN}: {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 = "https://doi.org/10.1145/151271.151273",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Tue Sep 20 18:24:38 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/toms.bib,
http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
URL = "http://www.acm.org/pubs/toc/Abstracts/0098-3500/151273.html",
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,
affiliation = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., IL,
USA",
classification = "C7310 (Mathematics); C4100 (Numerical analysis)",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
keywords = "SPECFUN; Portable FORTRAN package; Special function
routines; Test drivers; Real arguments; Bessel
functions; Exponential integrals; Error functions;
Gamma functions; algorithms",
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 = "FORTRAN; Mathematics computing; Numerical analysis;
Software packages; Software portability",
}
@Proceedings{AFIPS:1967:ACP,
key = "AFIPS SJCC '67",
title = "1967 Spring Joint Computer Conference, April 18--20,
Atlantic City, {NJ}",
volume = "30",
publisher = "Thompson Book Co.",
address = "Washington, DC, USA",
pages = "799",
year = "1967",
LCCN = "TK7885.A1 J6 1967",
bibdate = "Sat Sep 24 01:00:25 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
series = "AFIPS conference proceedings",
acknowledgement = ack-nhfb,
}
@Proceedings{AFIPS:1969:ACPa,
key = "AFIPS SJCC '69",
title = "1967 Spring Joint Computer Conference, May 14--16,
1969, Boston, {MA}",
volume = "34",
publisher = pub-AFIPS,
address = pub-AFIPS:adr,
pages = "866",
year = "1969",
LCCN = "TK7885.A1 J6 1969",
bibdate = "Sat Sep 24 01:05:52 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
series = "AFIPS conference proceedings",
acknowledgement = ack-nhfb,
}
@Proceedings{AFIPS:1969:ACPb,
key = "AFIPS FJCC '69",
title = "1969 Fall Joint Computer Conference, November 18--20,
1969, Las Vegas, Nevada",
volume = "35",
publisher = pub-AFIPS,
address = pub-AFIPS:adr,
pages = "807",
year = "1969",
LCCN = "TK7885.A1 J6 1969",
bibdate = "Sat Sep 24 01:06:00 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
series = "AFIPS conference proceedings",
acknowledgement = ack-nhfb,
}
@Book{Rice:1971:MS,
author = "John R. Rice",
booktitle = "Mathematical Software",
title = "Mathematical Software",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xvii + 515",
year = "1971",
ISBN = "0-12-587250-X",
ISBN-13 = "978-0-12-587250-8",
LCCN = "QA1 .M26",
bibdate = "Thu Sep 01 23:39:29 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{ACM:1972:PAA,
key = "ACM '72",
title = "Proceedings of the {ACM} Annual Conference, August
1972, Boston",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "xiii + 1156",
year = "1972",
LCCN = "TK 7885 A84p 1972",
bibdate = "Wed Sep 07 10:13:52 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Two volumes.",
acknowledgement = ack-nhfb,
}
@Proceedings{Hetzel:1973:PCP,
editor = "William C. Hetzel",
title = "Program test methods: Proceedings of the Computer
Program Test Methods Symposium held at the University
of North Carolina, Chapel Hill, June 21--23, 1972",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xi + 352",
year = "1973",
ISBN = "0-13-729624-X",
ISBN-13 = "978-0-13-729624-8",
LCCN = "QA76.P69",
bibdate = "Mon Sep 26 19:50:00 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Evans:1974:SNM,
editor = "D. J. Evans",
title = "Software for Numerical Mathematics: Proceedings of the
Loughborough University of Technology Conference of the
Institute of Mathematics and Its Applications held in
April 1973",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xi + 451",
year = "1974",
ISBN = "0-12-243750-0",
ISBN-13 = "978-0-12-243750-2",
LCCN = "QA297 .S591",
bibdate = "Wed Sep 07 10:59:08 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Watson:1975:NAD,
editor = "George A. Watson",
title = "Numerical Analysis: Proceedings of the Dundee
Conference on Numerical Analysis, July 1--4, 1975",
volume = "506",
publisher = pub-SV,
address = pub-SV:adr,
pages = "x + 201",
year = "1975",
ISBN = "0-387-07620-7 (??invalid ISBN??)",
ISBN-13 = "978-0-387-07620-1 (??invalid ISBN??)",
ISSN = "0720-258X, 0269-3674",
LCCN = "QA3 .L35 v.506",
bibdate = "Sat Sep 24 01:06:05 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
series = "Lecture Notes in Mathematics",
acknowledgement = ack-nhfb,
}
@Book{Ralston:1976:ECS,
editor = "Anthony Ralston and Chester L. Meek",
title = "Encyclopedia of Computer Science",
publisher = pub-PETROCELLI-CHARTER,
address = pub-PETROCELLI-CHARTER:adr,
pages = "xxviii + 1523",
year = "1976",
ISBN = "0-88405-321-0",
ISBN-13 = "978-0-88405-321-7",
LCCN = "QA76.15 .E56 1976",
bibdate = "Thu Nov 17 00:04:08 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
price = "US\$60.00",
acknowledgement = ack-nhfb,
}
@Proceedings{Anonymous:1976:PIS,
editor = "David C. Hoaglin and Roy E. Welsch",
title = "Proceedings of the Ninth Interface Symposium on
Computer Science and Statistics, Harvard University,
Massachusetts Institute of Technology, April 1--2,
1976",
publisher = pub-PRINDLE-WEBER-SCHMIDT,
address = pub-PRINDLE-WEBER-SCHMIDT:adr,
pages = "x + 323",
year = "1976",
ISBN = "0-87150-237-2",
ISBN-13 = "978-0-87150-237-7",
LCCN = "QA 276 A1 I53 1976",
bibdate = "Thu Nov 17 00:05:57 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Cowell:1977:PMS,
editor = "Wayne Cowell",
title = "Portability of Numerical Software Workshop, Oak Brook,
Illinois, June 21--23, 1976",
volume = "57",
publisher = pub-SV,
address = pub-SV:adr,
pages = "viii + 539",
year = "1977",
ISBN = "0-387-08446-0",
ISBN-13 = "978-0-387-08446-6",
LCCN = "QA297 .W65 1976",
bibdate = "Sat Sep 24 00:24:09 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
series = "Lecture Notes in Computer Science",
acknowledgement = ack-nhfb,
}
@Proceedings{IEEE:1977:PAR,
key = "IEEE RMSS '77",
title = "Proceedings, 1st Annual Rocky Mountain Symposium on
Microcomputers: Systems, Software, Architecture: August
31--September 2, 1977, Fort Collins, Colorado",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "v + 310",
year = "1977",
LCCN = "QA76.5 .R535 1977a",
bibdate = "Sat Sep 24 09:13:20 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
xxISBN = "(none)",
}
@Proceedings{IEEE:1980:PCS,
key = "IEEE COMPCON Spring '80",
title = "{COMPCON} (20th: 1980: San Francisco, {CA}) {VLSI},
New Architectural Horizons: {COMPCON}, Spring 80, Jack
Tar Hotel, San Francisco, California, February 25--28,
1980: Digest of Papers",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "xvi + 504",
year = "1980",
LCCN = "TK7885.A1 C53 1980",
bibdate = "Sat Sep 24 09:19:12 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
xxISBN = "(none)",
}
@Proceedings{Messina:1982:PMM,
editor = "P. C. Messina and A. Murli",
title = "Problems and Methodologies in Mathematical Software
Production: International Seminar held at Sorrento,
Italy, November 3--8, 1980",
volume = "142",
publisher = pub-SV,
address = pub-SV:adr,
pages = "271",
year = "1982",
ISBN = "0-387-11603-6 (New York), 3-540-11603-6 (Berlin)",
ISBN-13 = "978-0-387-11603-7 (New York), 978-3-540-11603-5
(Berlin)",
LCCN = "QA76.95 .P76 1982",
bibdate = "Sat Sep 24 00:30:07 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
series = "Lecture Notes in Computer Science",
acknowledgement = ack-nhfb,
}
@Proceedings{Mulvey:1982:EMP,
editor = "J. M. Mulvey",
title = "Evaluating Mathematical Programming Techniques:
Proceedings of a Conference Held at the National Bureau
of Standards, Boulder, Colorado, January 5--6, 1981",
volume = "199",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xi + 379",
year = "1982",
ISBN = "0-387-11495-5",
ISBN-13 = "978-0-387-11495-8",
LCCN = "QA402.5 .E94 1982",
bibdate = "Thu Nov 17 06:36:49 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
series = "Lecture Notes in Economics and Mathematical Systems",
acknowledgement = ack-nhfb,
}
@Proceedings{Reid:1982:RBN,
editor = "J. K. Reid",
title = "The Relationship Between Numerical Computation and
Programming Languages: Proceedings of the {IFIP} {TC2}
Working Conference on the Relationship between
Numerical Computation and Programming Languages,
Boulder, Colorado, {USA}., 3--7 August, 1981",
publisher = pub-ENH,
address = pub-ENH:adr,
pages = "x + 377",
year = "1982",
ISBN = "0-444-86377-X",
ISBN-13 = "978-0-444-86377-5",
LCCN = "QA297 .I34 1981",
bibdate = "Tue Sep 06 22:34:51 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Gentle:1983:CSS,
editor = "James E. Gentle",
title = "Computer Science and Statistics: Proceedings of the
Fifteenth Symposium on the Interface, Houston, Texas,
March 1983",
publisher = pub-NH,
address = pub-NH:adr,
pages = "xi + 379",
year = "1983",
ISBN = "0-444-86688-4",
ISBN-13 = "978-0-444-86688-2",
LCCN = "QA276.4 .S95 1983",
bibdate = "Tue Sep 06 22:39:53 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@Book{Cowell:1984:SDM,
editor = "Wayne R. Cowell",
title = "Sources and Development of Mathematical Software",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xii + 404",
year = "1984",
ISBN = "0-13-823501-5",
ISBN-13 = "978-0-13-823501-7",
LCCN = "QA76.95 .S68 1984",
bibdate = "Tue Sep 06 22:26:34 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
price = "US\$32.50",
series = "Prentice-Hall series in computational mathematics",
acknowledgement = ack-nhfb,
keywords = "algorithms; design; documentation",
review = "ACM CR 8501-0008",
subject = "G Mathematics of Computing, MATHEMATICAL SOFTWARE \\
D.2.2 Software, SOFTWARE ENGINEERING, Tools and
Techniques, Software libraries \\ J.2 Computer
Applications, PHYSICAL SCIENCES AND ENGINEERING,
Mathematics and statistics",
}
@Proceedings{Dongarra:1984:IPS,
editor = "Jack Dongarra and Gene Golub and Jorge Mor{\'e} and
Danny Sorensen",
booktitle = "{Informal proceedings of the Symposium on Computational
Mathematics --- State of the Art: held at Argonne
National Laboratory, September 20--21, 1984, in honor
of James H. Wilkinson}",
title = "{Informal proceedings of the Symposium on Computational
Mathematics --- State of the Art: held at Argonne
National Laboratory, September 20--21, 1984, in honor
of James {H}. Wilkinson}",
publisher = inst-ANL,
address = inst-ANL:adr,
pages = "v + 264",
month = dec,
year = "1984",
LCCN = "QA297.S879 1984",
bibdate = "Sat Sep 24 01:25:08 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
http://www.math.utah.edu/pub/tex/bib/cody-william-j.bib",
note = "Technical Report MCS-TM-42. It consists of copies of
lecture slides from the ten symposium talks.",
acknowledgement = ack-nhfb,
xxISBN = "none",
}
@Book{Wouk:1987:NCE,
editor = "Arthur Wouk",
title = "New Computing Environments: Microcomputers in
Large-Scale Computing",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "x + 166",
year = "1987",
ISBN = "0-89871-210-6",
ISBN-13 = "978-0-89871-210-0",
LCCN = "QA76.5 .W66 1985",
bibdate = "Wed Sep 07 00:14:56 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@Book{Moore:1988:RCR,
editor = "Ramon E. Moore",
booktitle = "Reliability in Computing: the Role of Interval Methods
in Scientific Computing",
title = "Reliability in Computing: the Role of Interval Methods
in Scientific Computing",
volume = "19",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xv + 428",
year = "1988",
ISBN = "0-12-505630-3",
ISBN-13 = "978-0-12-505630-4",
LCCN = "QA76.9.E94 R45 1988",
bibdate = "Mon Dec 18 09:41:47 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/gay-david-m.bib;
http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/fortran2.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
series = "Perspectives in computing",
ZMnumber = "0638.00033",
acknowledgement = ack-nhfb,
classmath = "00Bxx Conference proceedings and collections of
papers; 65-06 Proceedings of conferences (numerical
analysis)",
keywords = "Computing; Interval methods; Reliability; Scientific
computing",
tableofcontents = "Contributors / ix \\
Preface / xiii \\
Acknowledgments / xv \\
Part 1: Computer Arithmetic and Mathematical Software /
3 \\
Chapter 1. Arithmetic for Vector Processors / R.
Kirchner and U. Kulisch / 3 \\
Abstract \\
1. Introduction \\
2. The State of the Art \\
3. Fast Computation of Sums and Scalar Products \\
4. Summation with only One Row of Adders \\
5. Systems with Large Exponent Range and Further
Remarks \\
6. Application to Multiple Precision Arithmetic \\
7. Contemporary Floating-Point Arithmetic \\
8. Literature \\
Chapter 2. FORTRAN-SC, A FORTRAN Extension for
Engineering/Scientific Computation with Access to
ACRITH: Language Description with Examples / Wolfgang
Walter / 43 \\
Abstract \\
1. Introduction \\
2. Development of FORTRAN-SC \\
3. Main Language Concepts \\
4. Language Description with Examples \\
5. Implementation of FORTRAN-SC \\
References \\
Chapter 3. FORTRAN-SC, A FORTRAN Extension for
Engineering/Scientific Computation with Access to
ACRITH: Demonstration of the Compiler and Sample
Programs / Michael Metzger / 63 \\
Abstract \\
Introduction \\
Example 1: Interval Newton Method \\
Example 2: Automatic Differentiation \\
Example 3: Runge--Kutta Method \\
Example 4: Gaussian Elimination Method \\
Example 5: Verified Solution of a Linear System \\
References \\
Chapter 4. Reliable Expression Evaluation in PASCAL-SC
/ J{\"u}rgen Wolff von Gudenberg / 81 \\
Abstract \\
1. Floating-point arithmetic \\
2. Interval arithmetic \\
3. The optimal scalar product \\
4. Complex floating-point and complex interval
arithmetic \\
5. Matrix and vector arithmetic \\
6. Accurate Operations and Problem Solving Routines \\
7. Transformation of arithmetic expressions \\
8. Solution of nonlinear systems \\
9. The data type dotprecision \\
10. Dotproduct expressions \\
11. Conclusion \\
References \\
Chapter 5. Floating-Point Standards --- Theory and
Practice / W. J. Cody / 99 \\
1. Introduction \\
2. The Standards \\
3. Implementations \\
4. Software Support \\
5. Conclusions \\
References \\
Chapter 6. Algorithms for Verified Inclusions: Theory
and Practice / Siegfried M. Rump / 109 \\
Summary \\
0. Introduction \\
1. Basic theorems \\
2. Practical verification on the computer \\
3. Interactive Programming Environment \\
4. References \\
Chapter 7. Applications of Differentiation Arithmetic /
George F. Corliss / 127 \\
Abstract \\
1. Differentiation Arithmetic \\
Why, What, and How? \\
2. Why? \\
Motivation \\
3. What? \\
Component tools \\
4. Conditions on f \\
5. How to use it? \\
Applications \\
6. Acknowledgements \\
References \\
Part 2: Linear and Nonlinear Systems / 149 \\
Chapter 8. Interval Acceleration of Convergence / Karl
Nickel / 151 \\
Abstract \\
1. Introduction \\
2. Examples \\
3. Definitions and Notation \\
4. Interval Methods \\
5. How Can We Get Bounds on a Given Point-Sequence? \\
6. Acceleration of Convergence \\
References \\
Chapter 9. Solving Systems of Linear Interval Equations
/ J. Rohn / 171 \\
0. Introduction \\
1. Bounding the solutions \\
2. Computing the xy's \\
3. Explicit formulae for x, x \\
4. Inverse interval matrix \\
References \\
Chapter 10. Interval Least Squares --- a Diagnostic
Tool / David M. Gay / 183 \\
Introduction \\
Linearity \\
Interval Notation \\
Chapter 11. Existence of Solutions and Iterations for
Nonlinear Equations / G. Alefeld / 207 \\
Chapter 12. Interval Method for Algebraic Equations /
M. A. Wolfe / 229 \\
Chapter 13. Error Questions in the Computation of
Solution Manifolds of Parametrized Equations / Werner
C. Rheinbolt / 249 \\
Chapter 14. The Enclosure of Solutions of
Parameter-Dependent Systems of Equations / A. Neumaier
/ 269 \\
Part 3. Optimization / 287 \\
Chapter 15. An Overview of Global Optimization Using
Interval Analysis / Eldon Hansen / 289 \\
Chapter 16. Philosophy and Practicalities of Interval
Arithmetic / G. William Walster / 309 \\
Chapter 17. Some Recent Aspects of Interval Algorithms
for Global Optimization / Helmut Ratschek / 325 \\
Chapter 18. The Use of Interval Arithmetic in
Uncovering Structure of Linear Systems / Weldon A.
Lodwick / 341 \\
Part 4. Operator Equations / 355 \\
Chapter 19. The Role of Order in Computing / Garrett
Birkhoff / 357 \\
Chapter 20. Interval Methods for Operator Equations /
R. E. Moore and Shen Zuhe / 379 \\
Chapter 21. Boundary Implications for Stability
Properties: Present Status / J. Garloff and N. K. Bose
/ 391 \\
Chapter 22. Validating Computation in a Function Space
/ Edgar Kaucher and Willard L. Miranker / 403 \\
Epilogue: A Poem about My Life, by Daniel J. Langton /
427",
}
@Book{Swartzlander:1990:CAb,
author = "Earl E. {Swartzlander, Jr.}",
booktitle = "Computer Arithmetic",
title = "Computer Arithmetic",
volume = "2",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "ix + 396",
year = "1990",
ISBN = "0-8186-8945-5",
ISBN-13 = "978-0-8186-8945-1",
LCCN = "QA76.9 .C62C66 1990",
bibdate = "Wed Dec 15 10:43:03 1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/hamming-richard-w.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/master.bib",
note = "This is part of a two-volume collection of influential
papers on the design of computer arithmetic. See also
\cite{Swartzlander:1990:CAa}.",
acknowledgement = ack-nhfb,
tableofcontents = "Preface / v \\
Chapter 1: Overview / E. E. Swartzlander, Jr. / 1 \\
Chapter 2: Error Tolerant Arithmetic / 15 \\
Error Detecting and Error Correcting Codes / R. W.
Hamming (Bell System Technical Journal, 1950, Pages
147--160) / 16 \\
Generalized Parity Checking / H. L. Garner (IRE
Transactions on Electronic Computers, 1958, Pages
207--213) / 30 \\
Error Checking Logic for Arithmetic Type Operations of
a Processor / T. R. N. Rao (IEEE Transactions on
Computers, 1968, Pages 845--849) / 37 \\
Arithmetic Algorithms for Error-Coded Operands / A.
Avizienis (IEEE Transactions on Computers, 1973, Pages
567--572) / 42 \\
Error Detection and Correction for Addition and
Subtraction, through Use of Higher Radix Extensions of
Hamming Codes / J. E. Robertson (Proceedings 8th
Symposium on Computer Arithmetic, 1987, Pages 226--229)
/ 48 \\
Chapter 3: On-Line Arithmetic / 53 \\
Signed-Digit Number Representations for Fast Parallel
Arithmetic / A. Avizienis (IRE Transactions on
Electronic Computers, 1961, Pages 389---400) / 54 \\
On-Line Arithmetic: A Design Methodology and
Applications in Digital Signal Processing / M. D.
Ercegovac and T. Lang (VLSI Signal Processing, III,
1988, Pages 252--263) / 66 \\
On-Line Algorithms for Division and Multiplication / K.
S. Trivedi and M. D. Ercegovac (IEEE Transactions on
Computers, 1977, Pages 681---687) / 78 \\
Error Analysis of Certain Floating-point On-Line
Algorithms / O. Watanuki and M. D. Ercegovac (IEEE
Transactions on Computers, 1983, Pages 352--358) / 85
\\
Improved Normalization Results for Digit On-Line
Arithmetic / R. J. Zaccone and J. L. Barlow
(Proceedings 7th Symposium on Computer Arithmetic,
1985, Pages 20--27) / 92 \\
Fully Digit On-Line Networks / M. J. Irwin and R. M.
Owens (IEEE Transactions on Computers, 1983, Pages
402---406) / 100 \\
On-Line Scheme for Computing Rotation Factors / M. D.
Ercegovac and T. Lang (Journal of Parallel and
Distributed Computing, 1988, Pages 209--227) / 104 \\
On-the-Fly Conversion of Redundant into Conventional
Representations / M. D. Ercegovac and T. Lang (IEEE
Transactions on Computers, 1987, Pages 895--897) / 123
\\
Chapter 4: VLSI Adder Implementations / 127 \\
Time-Component Complexity of Two Approaches to
Multioperand Binary Addition / D. E. Atkins and S. Ong
(IEEE Transactions on Computers, 1979, Pages 918--926)
/ 128 \\
Some Optimal Schemes for ALU Implementation in VLSI
Technology / V. G. Oklobdzija and E. R. Barnes
(Proceedings7 th Symposium on Computer Arithmetic,
1985, Pages 2--8) / 137 \\
A Regular Layout for Parallel Adders / R. P. Brent and
H. T. Kung (IEEE Transactions on Computers, 1982, Pages
260--264) / 144 \\
An Area-Time Efficient NMOS Adder / M. A. Bayoumi, G.
A. Jullien, and W. C. Miller (Integration, the VLSI
Journal, 1983, Pages 317--334) / 148 \\
Regular, Area-Time Efficient Carry-Lookahead Adders /
T.-F. Ngai, M. J. Irwin, and S. Rawat (Journal of
Parallel and Distributed Computing, 1986, Pages
92--105) / 166 \\
Efficient Use of Time and Hardware Redundancy for
Concurrent Error Detection in a 32-Bit VLSI Adder / B.
W. Johnson, J. H. Aylor, and H. H. Hana (IEEE Journal
of Solid-State Circuits, 1988, Pages 208--215) / 180
\\
Chapter 5: VLSI Multiplier Implementations / 189 \\
A Monolithic $16 \times 16$ Digital Multiplier / G. W.
McIver, R. W. Miller, and T. G. O'Shaughnessy (IEEE
International Solid-State Circuits Conference Digest of
Technical Papers, 1974, Pages 231--233) / 190 \\
Optimization of One-Bit Full Adders Embedded in Regular
Structures / K. Iwano and K. Steiglitz (IEEE
Transactions on Acoustics, Speech, and Signal
Processing, 1986, Pages 1289--1300) / 193 \\
A VLSI Layout for a Pipelined Dadda Multiplier / P. R.
Cappello and K. Steiglitz (ACM Transactions on Computer
Systems, 1983, Pages 157--174) / 205 \\
A Very Fast Multiplication Algorithm for VLSI
Implementation / J. Vuillemin (Integration, the VLSI
Journal, 1983, Pages 39--52) / 223 \\
A High-Speed Multiplier Using a Redundant Binary Adder
Tree / Y. Harata, Y. Nakamura, H. Nagase, M. Takigawa,
and N. Takagi (IEEE Journal of Solid-State Circuits,
1987, Pages 28--34) / 237 \\
A Sub-10-ns $16 \times 16$ Multiplier Using 0.6-$\mu$m
CMOS Technology / Y. Oowaaki, K. Numata, K. Tsuchiya,
K. Tsuda, H. Takato, N. Takenouchi, A. Nitayama, T.
Kobayashi, M. Chiba, S. Watanabe, K. Ohuchi, and A.
Rojo (IEEE Journal of Solid-State Circuits, 1987, Pages
762--767) / 244 \\
Chapter 6: Floating Point VLSI Chips / 251 \\
A High Performance Floating Point Coprocessor / G.
Wolrich, E. McLellan, L. Harada, J. Montanaro, and R.
A. J. Yodlowski (IEEE Journal of Solid-State Circuits,
1984, Pages 690--696) / 252 \\
64-Bit Monolithic Floating Point Processors / F. A.
Ware, W. H. McAllister, J. R. Carlson, D. K. Sun, and
R. J. Vlach (IEEE Journal of Solid-State Circuits,
1982, Pages 898--907) / 259 \\
A CMOS Floating Point Multiplier / M. Uya, K. Kaneko,
and J. Yasui (IEEE Journal of Solid-State Circuits,
1984, Pages 697--702) / 269 \\
A Single-Chip 80-Bit Floating Point Processor / K.
Takeda, F. Ishino, Y. Ito, R. Kasai, and T. Nakashima
(IEEE Journal of Solid-State Circuits, 1985, Pages
986--992) / 275 \\
VLSI Floating-Point Processors / J. Fandrianto and B.
Y. Woo (Proceedings 7th Symposium on Computer
Arithmetic, 1985, Pages 93--100) / 282 \\
Fast Multiply and Divide for a VLSI Floating-Point Unit
/ B. K. Bose, L. Pei, G. S. Taylor, and D. A. Patterson
(Proceedings 8th Symposium on Computer Arithmetic,
1987, Pages 87--94) / 290 \\
Chapter 7: Number Representation / 299 \\
A Formalization of Floating-Point Numeric Base
Conversion / D. W. Matula (IEEE Transactions on
Computers, 1970, Pages 681--692) / 300 \\
Analysis of Proposals for the Floating-Point Standard /
W. J. Cody (Computer, March 1987, Pages 63--68) / 312
\\
CADAC: A Controlled-Precision Decimal Arithmetic Unit /
M. S. Cohen, T. E. Hull, and V. C. Hamacher (IEEE
Transactions on Computers, 1983, Pages 370--377) / 317
\\
Finite Precision Rational Arithmetic: Slash Number
Systems / D. W. Matula and P. Kornerup (IEEE
Transactions on Computers, 1985, Pages 3--18) / 325 \\
Finite Precision Lexicographic Continued Fraction
Number Systerns / P. Kornerup and D. W. Matula
(Proceedings 7th Symposium on Computer Arithmetic,
1985, Pages 207--214) / 341 \\
An Overflow\slash Underflow Free Floating Point
Representation of Numbers / S. Matsui and M. lri
(Journal of Information Processing, 1981, Pages
123--133) / 349 \\
A Closed Computer Arithmetic / F. W. J. Olver
(Proceedings 8th Symposium on Computer Arithmetic,
1987, Pages 139--143) / 360 \\
Bibliography / 365 \\
Index / 393 \\
About the Editor / 397",
}
@Proceedings{Kornerup:1991:PIS,
editor = "Peter Kornerup and David W. Matula",
booktitle = "{Proceedings: 10th IEEE Symposium on Computer
Arithmetic: June 26--28, 1991, Grenoble, France}",
title = "{Proceedings: 10th IEEE Symposium on Computer
Arithmetic: June 26--28, 1991, Grenoble, France}",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "xiii + 282",
year = "1991",
ISBN = "0-8186-9151-4 (case), 0-8186-6151-8 (microfiche),
0-7803-0187-0 (library binding)",
ISBN-13 = "978-0-8186-9151-5 (case), 978-0-8186-6151-8
(microfiche), 978-0-7803-0187-0 (library binding)",
LCCN = "QA76.9.C62 S95 1991",
bibdate = "Thu Sep 01 23:18:52 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "IEEE catalog no. 91CH3015-5.",
acknowledgement = ack-nhfb,
confdate = "26-28 June 1991",
conflocation = "Grenoble, France",
confsponsor = "IEEE; CNRS; IMAG",
keywords = "ARITH-10",
}
@Misc{Haigh:2004:IWJ,
author = "Thomas Haigh",
title = "An interview with {W. J. Cody}",
howpublished = "Computer History Museum interview.",
pages = "53",
day = "3--4",
month = aug,
year = "2004",
bibdate = "Fri Jun 14 15:49:17 2019",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
URL = "http://history.siam.org/%5C/pdfs2/Cody_returned_SIAM.pdf;
http://history.siam.org/oralhistories/cody.htm",
acknowledgement = ack-nhfb,
}
@Misc{More:2009:JCP,
author = "Jorge Mor{\'e} and Cleve Moler",
title = "{Jim Cody}: Pioneer in mathematical software
libraries",
howpublished = "NA Digest postings",
day = "28",
month = jun,
year = "2009",
bibdate = "Fri Jun 14 15:51:35 2019",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
http://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
http://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib",
URL = "http://www.netlib.org/na-digest-html/09/v09n26.html#1",
acknowledgement = ack-nhfb,
remark = "From the postings: Jim Cody passed away on Wednesday,
June 24, [2009].",
}
