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Some inequalities for the nonlinear matrix equation \(X^s +A^*X^{-t}A = Q\): trace, determinant and eigenvalue

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Publication:278917
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DOI10.1016/j.amc.2013.08.019zbMath1334.15048OpenAlexW145189627MaRDI QIDQ278917

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

Publication date: 27 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.08.019


zbMATH Keywords

existencenonlinear matrix equationHermitian positive definite solution


Mathematics Subject Classification ID

Matrix equations and identities (15A24)


Related Items (4)

Fixed point iterative methods for solving the nonlinear matrix equation \(X-A^*X^{-n}A=I\) ⋮ Solvability for a nonlinear matrix equation ⋮ The investigation on two kinds of nonlinear matrix equations ⋮ Inequalities for the eigenvalues of the positive definite solutions of the nonlinear matrix equation




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