Perturbation analysis for the matrix equation \(X - \sum^m_{i=1} A^\ast_i XA_i + \sum^n_{j=1} B^\ast_j XB_j = I\)

DOI10.1155/2012/784620zbMath1268.15009OpenAlexW1525481744WikidataQ58907347 ScholiaQ58907347MaRDI QIDQ1952939

Xue-Feng Duan, Qing-Wen Wang

Publication date: 3 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/784620

zbMATH Keywords

numerical exampleperturbation analysismatrix equationperturbation boundpositive definite solutionmatrix differentiation

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items

PERTURBATION ANAYSIS FOR THE MATRIX EQUATION X = I - A^*X^-1A + B^*X^-1B, Normwise, mixed and componentwise condition numbers of matrix equation X-∑_{i=1}^p A_i^T XA_i + ∑_{j=1}^q B_j^T XB_j = Q$

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