Thompson metric method for solving a class of nonlinear matrix equation

DOI10.1016/j.amc.2009.12.022zbMath1226.65034OpenAlexW2028327443MaRDI QIDQ979266

Guo-Zhu Yao, Xue-Feng Duan, An-Ping Liao

Publication date: 25 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.12.022

zbMATH Keywords

iterative methodnonlinear matrix equationperturbation boundpositive definite solutionThompson metric

Mathematics Subject Classification ID

Related Items (14)

Iterative algorithms for \(X+A^{\mathrm T}X^{-1}A=I\) by using the hierarchical identification principle ⋮ On the nonlinear matrix equation X^p = A#_t(M^T (X^–1 + B)^–1 M) ⋮ Solving systems of nonlinear matrix equations involving Lipschitzian mappings ⋮ Bauer's spectral factorization method for low order multiwavelet filter design ⋮ Related Suzuki-type fixed point theorems in ordered metric space ⋮ Quasi gradient-based inversion-free iterative algorithm for solving a class of the nonlinear matrix equations ⋮ Some \(\varphi\)-coupled fixed point results via modified \(F\)-control function's concept in metric spaces and its applications ⋮ Some convergence results for iterative sequences of Prešić type and applications ⋮ Positive definite solutions of the nonlinear matrix equation \(X + A^H\bar{X}^{-1}A = I\) ⋮ Two kinds of condition numbers for the quadratic matrix equation ⋮ Positive operator based iterative algorithms for solving Lyapunov equations for Itô stochastic systems with Markovian jumps ⋮ On bounding the Thompson metric by Schatten norms ⋮ Solution of a class of nonlinear matrix equations ⋮ A Contraction Analysis of the Convergence of Risk-Sensitive Filters

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