The extremal solution of the matrix equation \(X^s+A^\ast X^{-q}A=I\)

DOI10.1016/j.amc.2013.06.046zbMath1329.15042OpenAlexW2014660088MaRDI QIDQ902492

Musheng Wei, Shanrui Hu, Ming-hui Wang

Publication date: 18 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.06.046

zbMATH Keywords

iterative algorithmmaximal solutionnonlinear matrix equationpositive definite matrixminimal solution

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Matrix equations and identities (15A24)

Related Items

Solvability for a nonlinear matrix equation, The nonlinear inexact Uzawa hybrid algorithms based on one-step Newton method for solving nonlinear saddle-point problems, The investigation on two kinds of nonlinear matrix equations, Solvability theory and iteration method for one self-adjoint polynomial matrix equation, Inequalities for the eigenvalues of the positive definite solutions of the nonlinear matrix equation

Cites Work

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• Perturbation analysis of the maximal solution of the matrix equation \(X+A^*X^{-1}A=P\)