On the Hermitian positive definite solution of the nonlinear matrix equation

From MaRDI portal
Publication:988594

DOI10.1016/j.amc.2010.04.041zbMath1204.15023OpenAlexW2748599680MaRDI QIDQ988594

You-Mei He, Jian-hui Long

Publication date: 18 August 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.04.041




Related Items

On the Hermitian positive definite solutions of nonlinear matrix equation \(X^s + \sum_{i = 1}^m A_i^\ast X^{- t_i} A_i = Q\)Positive definite solutions of the matrix equation \(X^r - \sum_{i = 1}^m A_i^{\ast} X^{- \delta_i} A_i = I\)Some iterative methods for the largest positive definite solution to a class of nonlinear matrix equationThe maximal positive definite solution of the nonlinear matrix equation \(X + A^*X^{-1}A+B^*X^{-1}B = I \)Solutions and perturbation analysis for the nonlinear matrix equation \(X + \sum^m_{i=1} A^*_i X^{-1} A_i = I\)Positive definite solution of the matrix equation \(X = Q - A{^*}X^{-1}A + B{^*}X^{- 1}B\) via Bhaskar-Lakshmikantham fixed point theoremSolvability for a nonlinear matrix equationInvariant sets for the nonlinear impulsive control systemsOn the Hermitian positive definite solution and Newton's method for a nonlinear matrix equationOn convergence of three iterative methods for solving of the matrix equation \(X+A^\ast X^{-1}A+B^\ast X^{-1}B=Q\)Convergence analysis of some iterative methods for a nonlinear matrix equationSolutions and improved perturbation analysis for the matrix equation \(X-A^\ast X^{-p}A=Q(p>0)\)Perturbation analysis for the positive definite solution of the nonlinear matrix equation \(X-\sum_{i=1}^mA_i^\ast X^{-1}A_i=Q\)The positive definite solution to a nonlinear matrix equationSolving two generalized nonlinear matrix equationsPerturbation analysis of the nonlinear matrix equation \(X - \sum_{i = 1}^m A_i^* X^{p i} A_i = Q\)On solution and perturbation estimates for the nonlinear matrix equation \(X-A^*e^XA=I\)On nonlinear matrix equations \(X\pm\sum_{i=1}^{m}A_{i}^{*}X^{-n_{i}}A_{i}=I\)



Cites Work