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

  • M. M. Konstantinov
  • P. Hr. Petkov
  • N. D. Christov
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5434)


The paper deals with the derivation of improved perturbation bounds for the matrix expression Open image in new window 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.


Matrix Equation Compute Solution Matrix Expression Algebraic Riccati Equation Perturbation Bound 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • M. M. Konstantinov
    • 1
  • P. Hr. Petkov
    • 2
  • N. D. Christov
    • 3
  1. 1.University of ArchitectureCivil Engineering and GeodesySofiaBulgaria
  2. 2.Technical University of SofiaSofiaBulgaria
  3. 3.Université des Sciences et Technologies de LilleVilleneuve d’AscqFrance

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