Positive definite solutions of the matrix equations

DOI10.1016/j.camwa.2010.04.005zbMath1198.15014OpenAlexW2031375404MaRDI QIDQ603998

Xiao-Yan Yin, San-Yang Liu

Publication date: 8 November 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.04.005

zbMATH Keywords

iterative methodfixed point theoremnonlinear matrix equationpositive definite solution

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (11)

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 equation ⋮ The inversion-free iterative methods for a system of nonlinear matrix equations ⋮ The structure-preserving doubling algorithms for positive definite solution to a system of nonlinear matrix equations ⋮ Two structure-preserving-doubling like algorithms for obtaining the positive definite solution to a class of nonlinear matrix equation ⋮ Existence and uniqueness of the positive definite solution for the matrix equation \(X=Q+A^\ast(\hat{X}-C)^{-1}A\) ⋮ Solutions and improved perturbation analysis for the matrix equation \(X-A^\ast X^{-p}A=Q(p>0)\) ⋮ Unnamed Item ⋮ The inversion-free iterative methods for solving the nonlinear matrix equation \(X + A^H X^{- 1} A + B^H X^{- 1} B = I\) ⋮ On nonlinear matrix equations ⋮ SOME ITERATIVE ALGORITHMS FOR POSITIVE DEFINITE SOLUTION TO NONLINEAR MATRIX EQUATIONS

Cites Work

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