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@string{INRIA = "Institut National de Recherche en Informatique et en
Automatique"}
@string{SIAMNA = "SIAM Journal on Numerical Analysis"}
@Book{AbSt73,
author = "Milton Abramowitz and Irene A. Stegun",
title = "Handbook of Mathematical Functions",
publisher = "Dover",
year = "1973",
note = "\url{http://members.fortunecity.com/aands/toc.htm}"
}
@Article{Brent78,
author = {Richard P. Brent},
title = {A {F}ortran Multiple-Precision Arithmetic Package},
journal = toms,
year = 1978,
volume = 4,
number = 1,
pages = {57--70}
}
@Book{Higham02,
author = {Nicholas J. Higham},
title = {Accuracy and Stability of Numerical Algorithms},
publisher = {SIAM},
year = 2002,
edition = {2nd}
}
@TechReport{Jeandel00,
author = {Emmanuel Jeandel},
title = {{\'E}valuation rapide de fonctions hyperg\'eom\'etriques},
institution = INRIA,
year = 2000,
type = {Rapport technique},
number = 242,
month = jul,
note = {17 pages, \url{http://www.inria.fr/rrrt/rt-0242.html}}
}
@Article{BrMc80,
author = {R. P. Brent and E. M. McMillan},
title = {Some New Algorithms for High-Precision Computation of
{E}uler's Constant},
journal = "Mathematics of Computation",
year = 1980,
volume = 34,
number = 149,
pages = {305--312}
}
@Book{BoBo98,
author = {J. M. Borwein and P. B. Borwein},
title = {Pi and the {AGM}: A Study in Analytic Number Theory and
Computational Complexity},
publisher = {Wiley},
year = 1998
}
@Misc{DeHi02,
author = {James Demmel and Yozo Hida},
title = {Accurate floating point summation},
howpublished = {\url{http://www.cs.berkeley.edu/~demmel/AccurateSummation.ps}},
month = may,
year = 2002
}
@Book{ScGrVe94,
author = {A. Sch\"onhage and A. F. W. Grotefeld and E. Vetter},
title = {Fast Algorithms: A Multitape {T}uring Machine Implementation},
publisher = {BI Wissenschaftverlag},
year = 1994
}
@Misc{GoSe04,
author = {Xavier Gourdon and Pascal Sebah},
title = {The logarithmic Constant: $\log 2$},
month = jan,
year = 2004,
url = {http://numbers.computation.free.fr/Constants/constants.html}
}
@PhdThesis{Pugh04,
author = {Glendon Ralph Pugh},
title = {An Analysis of the {Lanczos} Gamma Approximation},
school = {University of British Columbia},
year = 2004,
note = {\url{http://oldmill.uchicago.edu/~wilder/Code/gamma/docs/Pugh.pdf}}
}
@Article{Spouge94,
author = {John L. Spouge},
title = {Computation of the gamma, digamma, and trigamma functions},
journal = SIAMNA,
year = 1994,
volume = 31,
number = 3,
pages = {931--944}
}
@Misc{Borwein95,
author = {P. Borwein},
title = {An Efficient Algorithm for the {R}iemann Zeta Function},
month = jan,
year = 1995,
note = {9 pages. Preprint available at \url{http://eprints.cecm.sfu.ca/archive/00000107/}}
}
@PhdThesis{Graillat05,
author = {Stef Graillat},
title = {Fiabilit\'e des algorithmes num\'eriques~: pseudosolutions
structur\'ees et pr\'ecision},
school = {Universit\'e de Perpignan Via Domitia},
year = 2005
}
@Article{HuAb86,
author = {T. E. Hull and A. Abrham},
title = {Variable Precision Exponential Function},
journal = toms,
year = 1986,
volume = 12,
number = 2,
pages = {79--91}
}
@Article{Jones84,
author = {Christopher B. Jones},
title = {A Significance Rule for Multiple-Precision Arithmetic},
journal = toms,
year = 1984,
volume = 10,
number = 1,
pages = {97--107}
}
@TechReport{PeRe06,
author = {Y.-F. S. P\'etermann and Jean-Luc R\'emy},
title = {Arbitrary Precision Error Analysis for computing $\zeta(s)$ with
the {C}ohen-{O}livier algorithm: Complete description of the real case
and preliminary report on the general case},
year = 2006,
institution = {INRIA},
number = 5852,
type = {Research Report},
url = {http://www.inria.fr/rrrt/rr-5852.html},
}
@Book{Temme96,
author = {Nico M. Temme},
title = {Special Functions. An Introduction to the Classical
Functions of Mathematical Physics},
publisher = {John Wiley \& Sons, Inc.},
year = 1996
}
|
