Some properties of the nonlinear matrix equation \(X^s + A^* X^{-t} A = Q\)

DOI10.1016/j.jmaa.2012.02.046zbMath1267.15018OpenAlexW2313439308MaRDI QIDQ425319

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

Publication date: 8 June 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.02.046

zbMATH Keywords

existence of solutionsHermitian positive definite solutionnonlinear matrix equations

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

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On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I, ⋮ Unnamed Item ⋮ Some investigation on Hermitian positive-definite solutions of a nonlinear matrix equation ⋮ On the positive definite solution of a class of pair of nonlinear matrix equations ⋮ The inversion-free iterative methods for a system of nonlinear matrix equations ⋮ Solutions and improved perturbation analysis for the matrix equation \(X-A^\ast X^{-p}A=Q(p>0)\) ⋮ On Hermitian positive definite solutions of a nonlinear matrix equation ⋮ Latest inversion-free iterative scheme for solving a pair of nonlinear matrix equations ⋮ Inequalities for the eigenvalues of the positive definite solutions of the nonlinear matrix equation

Cites Work

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