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From Sensitivity Analysis to Random Floating Point Arithmetics - Application to Sylvester Equations

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Numerical Analysis and Its Applications (NAA 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1988))

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Abstract

Classical accuracy estimation in problem solving is basically based upon sensitivity analysis and conditionning computation. Such an approach is frequently much more dificult than solving the problem itself. Here a generic alternative through the concept of random arithmetic is presented. These two alternatives are developped around the well know Sylvester equations. Matlab implentation as a new object class is discussed and numerically illustrated.

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References

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Author information

Authors and Affiliations

  1. Laboratoire d’Automatique de Grenoble, BP46, 38402, Saint Martin d’Hères, France

    Alain Barraud & Suzanne Lesecq

  2. Department of Automatics, Technical University of Sofia, 1756, Sofia, Bulgaria

    Nicolai Christov

Authors
  1. Alain Barraud
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  2. Suzanne Lesecq
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  3. Nicolai Christov
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Rousse, 7000, Rousse, Bulgaria

    Lubin Vulkov  & Plamen Yalamov  & 

  2. UNI-C,Danish Computing Center for Research and Education, DTU,Building 304, 2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2001 Springer-Verlag Berlin Heidelberg

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Barraud, A., Lesecq, S., Christov, N. (2001). From Sensitivity Analysis to Random Floating Point Arithmetics - Application to Sylvester Equations. In: Vulkov, L., Yalamov, P., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2000. Lecture Notes in Computer Science, vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45262-1_5

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  • DOI: https://doi.org/10.1007/3-540-45262-1_5

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41814-6

  • Online ISBN: 978-3-540-45262-1

  • eBook Packages: Springer Book Archive

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