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Algorithm 786: multiple-precision complex arithmetic and functions

Editor: Ronald F. Boisvert Author:

David M. SmithAuthors Info & Claims

ACM Transactions on Mathematical Software (TOMS), Volume 24, Issue 4

Pages 359 - 367

https://doi.org/10.1145/293686.293687

Published: 01 December 1998 Publication History

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Abstract

This article describes a collection of Fortran routines for multiple-precision complex arithmetic and elementary functions. The package provides good exception handling, flexible input and output, trace features, and results that are almost always correctly rounded. For best efficiency on different machines, the user can change the arithmetic type used to represent the multiple-precision numbers.

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References

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Tavaré S(2019)The linear birth‒death process: an inferential retrospectiveAdvances in Applied Probability10.1017/apr.2018.8450:A(253-269)Online publication date: 1-Feb-2019
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https://doi.org/10.1190/geo2016-0110.1
Backeljauw FBecuwe SCuyt AVan Deun JLozier D(2014)Validated evaluation of special mathematical functionsScience of Computer Programming10.1016/j.scico.2013.05.00690:PA(2-20)Online publication date: 15-Sep-2014
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Index Terms

Algorithm 786: multiple-precision complex arithmetic and functions
1. Mathematics of computing
  1. Mathematical analysis
    1. Functional analysis
      1. Approximation
    2. Numerical analysis
      1. Arbitrary-precision arithmetic
      2. Interval arithmetic
  2. Mathematical software
2. Theory of computation
  1. Design and analysis of algorithms
    1. Approximation algorithms analysis

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Information

Published In

cover image ACM Transactions on Mathematical Software

ACM Transactions on Mathematical Software Volume 24, Issue 4

Dec. 1998

141 pages

ISSN:0098-3500

EISSN:1557-7295

DOI:10.1145/293686

Editor:
Ronald F. Boisvert
National Institute of Standards and Technology, Faithersburg, MD

Issue’s Table of Contents

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 December 1998

Published in TOMS Volume 24, Issue 4

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Cited By

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Tavaré S(2019)The linear birth‒death process: an inferential retrospectiveAdvances in Applied Probability10.1017/apr.2018.8450:A(253-269)Online publication date: 1-Feb-2019
https://doi.org/10.1017/apr.2018.84
Macnae J(2016)Quantitative estimation of intrinsic induced polarization and superparamagnetic parameters from airborne electromagnetic dataGEOPHYSICS10.1190/geo2016-0110.181:6(E433-E446)Online publication date: Nov-2016
https://doi.org/10.1190/geo2016-0110.1
Backeljauw FBecuwe SCuyt AVan Deun JLozier D(2014)Validated evaluation of special mathematical functionsScience of Computer Programming10.1016/j.scico.2013.05.00690:PA(2-20)Online publication date: 15-Sep-2014
https://dl.acm.org/doi/10.1016/j.scico.2013.05.006
SaiToh A(2013)ZKCM: A C++ library for multiprecision matrix computation with applications in quantum informationComputer Physics Communications10.1016/j.cpc.2013.03.022184:8(2005-2020)Online publication date: Aug-2013
https://doi.org/10.1016/j.cpc.2013.03.022
Hosoda YHasegawa T(2012)A User-Friendly Computation System on the Web with Octuple-precisionProceedings of the 2012 13th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing10.1109/SNPD.2012.15(704-709)Online publication date: 8-Aug-2012
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Smith D(2011)Algorithm 911ACM Transactions on Mathematical Software10.1145/1916461.191647037:4(1-16)Online publication date: 1-Feb-2011
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Kormanyos C(2011)Algorithm 910ACM Transactions on Mathematical Software10.1145/1916461.191646937:4(1-27)Online publication date: 1-Feb-2011
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Chevillard S(2011)Automatic Generation of Code for the Evaluation of Constant Expressions at Any Precision with a Guaranteed Error BoundProceedings of the 2011 IEEE 20th Symposium on Computer Arithmetic10.1109/ARITH.2011.38(225-232)Online publication date: 25-Jul-2011
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Blest DJamil T(2010)Division in a binary representation for complex numbersInternational Journal of Mathematical Education in Science and Technology10.1080/002073903100010859234:4(561-574)Online publication date: 11-Nov-2010
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Petkovic MMilosevic DPetkovic I(2010)On the improved Newton-like methods for the inclusion of polynomial zerosInternational Journal of Computer Mathematics10.1080/0020716080245017487:8(1726-1735)Online publication date: 1-Jul-2010
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