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ArticleOriginal scientific text

Title

Norm estimates for solutions of matrix equations AX-XB=C and X-AXB=C

Authors 1

Affiliations

  1. Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel

Abstract

Let A, B and C be matrices. We consider the matrix equations Y-AYB=C and AX-XB=C. Sharp norm estimates for solutions of these equations are derived. By these estimates a bound for the distance between invariant subspaces of matrices is obtained.

Keywords

ENG
matrix equations, norm estimates, perturbations, invariant subspaces

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2014/34/2
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Pages:
191-206
Main language of publication
English
Received
2014-04-23
Published
2014

DOI: 10.7151/dmdico1163

Exact and natural sciences