On the Nonlinear Matrix Equation X^s + A^*F(X)A = Q with S≥ 1

DOI10.4208/jcm.1210-m4082zbMath1289.15032OpenAlexW2144923181MaRDI QIDQ2859898

Duanmei Zhou, Guoxing Wu, Xiang-Yun Zhang, Guo-Liang Chen

Publication date: 19 November 2013

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

Full work available at URL: https://doi.org/10.4208/jcm.1210-m4082

zbMATH Keywords

perturbation boundHermitian positive definite solutionnonlinear matrix equations

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

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A new fixed point theorem in \(G_b\)-metric space and its application to solve a class of nonlinear matrix equations ⋮ On positive definite solution of nonlinear matrix equations ⋮ The investigation on two kinds of nonlinear matrix equations ⋮ Solution of a class of nonlinear matrix equations ⋮ Notes on the Hermitian positive definite solutions of a matrix equation ⋮ Inequalities for the eigenvalues of the positive definite solutions of the nonlinear matrix equation

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