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

Authors:
M. M. Konstantinov;P. Hr. Petkov;N. D. Christov
Affiliations:
University of Architecture, Civil Engineering and Geodesy, Sofia, Bulgaria 1046;Technical University of Sofia, Sofia, Bulgaria 1000;Université des Sciences et Technologies de Lille, Villeneuve d'Ascq, France 59655
Venue:
Numerical Analysis and Its Applications
Year:
2009

Citing 2
Cited 0

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Computational methods for linear control systems
Perturbation Theory for Algebraic Riccati Equations

SIAM Journal on Matrix Analysis and Applications

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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.