On the Nonlinear Matrix Equation $X^s + A^*F(X)A = Q$ with $S≥ 1$

Author(s)

Abstract

This work is concerned with the nonlinear matrix equation $X^s + A^*F(X)A= Q$ with $s ≥ 1$. Several sufficient and necessary conditions for the existence and  uniqueness of the Hermitian positive semidefinite solution are derived, and perturbation bounds are presented.

Keywords:

Nonlinear matrix equations Perturbation bound Hermitian positive definite solution.
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DOI

10.4208/jcm.1210-m4082

How to Cite

On the Nonlinear Matrix Equation $X^s + A^*F(X)A = Q$ with $S≥ 1$. (2018). Journal of Computational Mathematics, 31(2), 209-220. https://doi.org/10.4208/jcm.1210-m4082