On positive definite solutions of the nonlinear matrix equations \(X \pm A^* X^q A = Q\)

DOI10.1016/j.amc.2015.09.002zbMath1410.15030OpenAlexW2316340480MaRDI QIDQ1732220

Shu-Qian Shen, Qing-Wen Wang, Lei Li

Publication date: 22 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.09.002

zbMATH Keywords

iterative methodspositive definite solutionnonlinear matrix equations

Mathematics Subject Classification ID

Related Items (3)

Fixed point iterative methods for solving the nonlinear matrix equation \(X-A^*X^{-n}A=I\) ⋮ Investigation of positive definite solution of nonlinear matrix equation \(X^p=Q+\sum \nolimits_{i=1}^m A_i^*X^{\delta}A_i\) ⋮ A new approximation algorithm for solving generalized Lyapunov matrix equations

Cites Work

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• Positive Definite Solutions of Operator Equations X m + A * X − n A = I
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• Two iteration processes for computing positive definite solutions of the equation \(X-A^*X^{-n}A=Q\)

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