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Validated Special Functions Software

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Mathematical Software – ICMS 2010 (ICMS 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6327))

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Abstract

Because of the importance of special functions, several books and a large collection of papers have been devoted to the numerical computation of these functions, the most well-known being the NBS handbook by Abramowitz and Stegun. But up to this date, symbolic and numeric environments offer no routines for the validated evaluation of special functions. We point out how a provable correct function evaluation can be returned efficiently.

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References

  1. Backeljauw, F., Becuwe, S., Cuyt, A., Van Deun, J.: Validated Evaluation of Special Mathematical Functions. Technical Report 2009-04, Universiteit Antwerpen (2009)

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  2. Higham, N.J.: Accuracy and Stability of Numerical Algorithms, 2nd edn. Society for Industrial and Applied Mathematics, Philadelphia (2002)

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Antwerp, Middelheimlaan 1, B-2020, Antwerp, Belgium

    Annie Cuyt, Franky Backeljauw, Stefan Becuwe & Joris Van Deun

Authors
  1. Annie Cuyt
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  2. Franky Backeljauw
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  3. Stefan Becuwe
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  4. Joris Van Deun
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Editor information

Editors and Affiliations

  1. Institute for Operations Research and Institute of Theoretical Computer Science, ETH Zurich, 8092, Zurich, Switzerland

    Komei Fukuda

  2. LIX, CNRS, École polytechnique, 91128, Palaiseau cedex, France

    Joris van der Hoeven

  3. Fachbereich Mathematik, TU Darmstadt, 64289, Darmstadt, Germany

    Michael Joswig

  4. Department of Mathematics, Kobe University, 657-8501, Rokko, Kobe, Japan

    Nobuki Takayama

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© 2010 Springer-Verlag Berlin Heidelberg

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Cuyt, A., Backeljauw, F., Becuwe, S., Van Deun, J. (2010). Validated Special Functions Software. In: Fukuda, K., Hoeven, J.v.d., Joswig, M., Takayama, N. (eds) Mathematical Software – ICMS 2010. ICMS 2010. Lecture Notes in Computer Science, vol 6327. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15582-6_6

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  • DOI: https://doi.org/10.1007/978-3-642-15582-6_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15581-9

  • Online ISBN: 978-3-642-15582-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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