Perturbation analysis for the matrix equations \(X\pm A^*X^{-1}A=I\)

DOI10.11650/twjm/1500405447zbMath1181.15017OpenAlexW1826630976MaRDI QIDQ842015

Wen Li, Xiao Shan Chen

Publication date: 22 September 2009

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

Full work available at URL: https://doi.org/10.11650/twjm/1500405447

zbMATH Keywords

numerical examplesnonlinear matrix equationspectral normHermitian positive definite solutionsunitary invariant norm

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (1)

On the perturbation analysis of the maximal solution for the matrix equation \(X - \sum\limits_{i=1}^m A_i^\ast X^{-1} A_i + \sum\limits_{j=1}^n B_j^\ast X^{-1} B_j = I\)

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