On the Sensitivity of the Matrix Equation XA - AX = X2

On the Sensitivity of the Matrix Equation XA - AX = X2

The paper deals with the matrix equation XA- AX = X2 arising in the analysis of affine structures on solvable Lie algebras. The sensitivity of the equation relative to perturbations in the coefficient matrix A is studied. Both local and non-local perturbation bounds are obtained. Illustrative numeri...

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Veröffentlicht in:Cybernetics and information technologies : CIT 2008-01, Vol.8 (2), p.3-11
Hauptverfasser: Konstantinov, Mihail, Petkov, Petko, Popchev, Ivan, Angelova, Vera
Format: Artikel
Sprache:eng
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Zusammenfassung:The paper deals with the matrix equation XA- AX = X2 arising in the analysis of affine structures on solvable Lie algebras. The sensitivity of the equation relative to perturbations in the coefficient matrix A is studied. Both local and non-local perturbation bounds are obtained. Illustrative numerical examples demonstrate the effectiveness of the bounds proposed.
ISSN:1311-9702