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International Conference on Numerical Analysis and Its Applications

NAA 2008: Numerical Analysis and Its Applications pp 68–79Cite as

Perturbation Bounds for Certain Matrix Expressions and Numerical Solution of Matrix Equations

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5434))

Abstract

The paper deals with the derivation of improved perturbation bounds for the matrix expression and their application to the sensitivity analysis and the solution of fractional–affine matrix equations. An estimate of the overall error in the solution of matrix equations is also given.

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References

  1. Grebenikov, E., Ryabov, Y.: Constructive Methods for Analysis of Nonlinear Systems. Nauka, Moscow (1979) (in Russian)

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Author information

Authors and Affiliations

  1. University of Architecture, Civil Engineering and Geodesy, 1046, Sofia, Bulgaria

    M. M. Konstantinov

  2. Technical University of Sofia, 1000, Sofia, Bulgaria

    P. Hr. Petkov

  3. Université des Sciences et Technologies de Lille, 59655, Villeneuve d’Ascq, France

    N. D. Christov

Authors
  1. M. M. Konstantinov
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  2. P. Hr. Petkov
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  3. N. D. Christov
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Editor information

Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  2. FNSE, Department of Numerical Methods and Statistics, University of Rousse, 8 Studentska str., 7017, Rousse, Bulgaria

    Lubin G. Vulkov

  3. Department of Informatics and Mathematical Modelling, Technical University of Denmark, 2800, Kongens, Lyngby, Denmark

    Jerzy Waśniewski

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© 2009 Springer-Verlag Berlin Heidelberg

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Konstantinov, M.M., Petkov, P.H., Christov, N.D. (2009). Perturbation Bounds for Certain Matrix Expressions and Numerical Solution of Matrix Equations. In: Margenov, S., Vulkov, L.G., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2008. Lecture Notes in Computer Science, vol 5434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00464-3_7

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  • DOI: https://doi.org/10.1007/978-3-642-00464-3_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00463-6

  • Online ISBN: 978-3-642-00464-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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