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Development of Quadruple Precision Arithmetic Toolbox QuPAT on Scilab

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Computational Science and Its Applications – ICCSA 2010 (ICCSA 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6017))

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Abstract

When floating point arithmetic is used in numerical computation, cancellation of significant digits, round-off errors and information loss cannot be avoided. In some cases it becomes necessary to use multiple precision arithmetic; however some operations of this arithmetic are difficult to implement within conventional computing environments. In this paper we consider implementation of a quadruple precision arithmetic environment QuPAT (Quadruple Precision Arithmetic Toolbox) using the interactive numerical software package Scilab as a toolbox. Based on Double-Double (DD) arithmetic, QuPAT uses only a combination of double precision arithmetic operations. QuPAT has three main characteristics: (1) the same operator is used for both double and quadruple precision arithmetic; (2) both double and quadruple precision arithmetic can be used at the same time, and also mixed precision arithmetic is available; (3) QuPAT is independent of which hardware and operating systems are used. Finally we show the effectiveness of QuPAT in the case of analyzing a convergence property of the GCR(m) method for a system of linear equations.

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References

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Author information

Authors and Affiliations

  1. Graduate School of Science, Tokyo University of Science, Japan

    Tsubasa Saito

  2. Tokyo University of Science, Japan

    Emiko Ishiwata

  3. University of Tsukuba, Japan

    Hidehiko Hasegawa

Authors
  1. Tsubasa Saito
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  2. Emiko Ishiwata
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  3. Hidehiko Hasegawa
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Editor information

Editors and Affiliations

  1. Monash University, Clayton School of Information Technology, VIC 3800, Clayton, Australia

    David Taniar

  2. Department of Mathematics and Computer Science, University of Perugia, Via Vanvitelli, 1, 06123, Perugia, Italy

    Osvaldo Gervasi

  3. University of Basilicata, L.I.S.U.T. - D.A.P.I.T., Viale dell’Ateneo Lucano 10, 85100, Potenza, Italy

    Beniamino Murgante

  4. Department of Computer Science and Computer Engineeering, LaTrobe University, VIC 3086, Bundoora, Australia

    Eric Pardede

  5. Department of Intelligent Informatics, Kyushu Sangyo University, 813-8503, Fukuoka, Japan

    Bernady O. Apduhan

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© 2010 Springer-Verlag Berlin Heidelberg

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Saito, T., Ishiwata, E., Hasegawa, H. (2010). Development of Quadruple Precision Arithmetic Toolbox QuPAT on Scilab . In: Taniar, D., Gervasi, O., Murgante, B., Pardede, E., Apduhan, B.O. (eds) Computational Science and Its Applications – ICCSA 2010. ICCSA 2010. Lecture Notes in Computer Science, vol 6017. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12165-4_5

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  • DOI: https://doi.org/10.1007/978-3-642-12165-4_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-12164-7

  • Online ISBN: 978-3-642-12165-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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