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Improved perturbation bounds for the matrix exponential

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Numerical Analysis and Its Applications (WNAA 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1196))

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Abstract

In this paper we give asymptotic series expansions in ε=∥E∥ for the bound of the perturbation ∥exp(t(A+E))−exp(tA)∥ in the matrix exponential exp(tA).

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Authors and Affiliations

  1. Univ. of Arch. & Civil Eng., 1 Hr.Smirnenski Blv., 1421, Sofia, Bulgaria

    Mihail Konstantinov & Parashkeva Gancheva

  2. Dept. of Automatics, Technical Univ. of Sofia, 1756, Sofia, Bulgaria

    Petko Petkov

  3. IIT, BAS, Akad. G. Bonchev Str., Bl.2, 1113, Sofia, Bulgaria

    Vera Angelova & Ivan Popchev

Authors
  1. Mihail Konstantinov
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  2. Petko Petkov
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  3. Parashkeva Gancheva
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  4. Vera Angelova
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  5. Ivan Popchev
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Editor information

Lubin Vulkov Jerzy Waśniewski Plamen Yalamov

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© 1997 Springer-Verlag Berlin Heidelberg

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Konstantinov, M., Petkov, P., Gancheva, P., Angelova, V., Popchev, I. (1997). Improved perturbation bounds for the matrix exponential. In: Vulkov, L., Waśniewski, J., Yalamov, P. (eds) Numerical Analysis and Its Applications. WNAA 1996. Lecture Notes in Computer Science, vol 1196. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62598-4_102

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  • DOI: https://doi.org/10.1007/3-540-62598-4_102

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62598-8

  • Online ISBN: 978-3-540-68326-1

  • eBook Packages: Springer Book Archive

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