The positive definite solution of the nonlinear matrix equation \(X^p = A + M(B + X^{-1})^{-1} M^\ast\)

DOI10.1016/j.cam.2017.03.018zbMath1364.15010OpenAlexW2601009413MaRDI QIDQ2628359

Hyun-Min Kim, Jie Meng

Publication date: 1 June 2017

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

Full work available at URL: https://doi.org/10.1016/j.cam.2017.03.018

zbMATH Keywords

fixed-point iterationmatrix equationHermitian positive definiteinversion-free variant iteration

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Matrix equations and identities (15A24) Iterative numerical methods for linear systems (65F10)

Related Items (6)

On the nonlinear matrix equation Xp=A+∑i=1mMi∗(B+X−1)−1Mi ⋮ On the nonlinear matrix equation X^p = A#_t(M^T (X^–1 + B)^–1 M) ⋮ Hermitian Polynomial Matrix Equations and Applications ⋮ A further study on a nonlinear matrix equation ⋮ On the nonlinear matrix equation \(X^p = A + M^T (X \# B) M\) ⋮ A new inversion-free iterative method for solving a class of nonlinear matrix equations

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