The Positive Definite Solution of the Nonlinear Matrix Equation Xs-A*X-tA=Q

被引：2

作者：

Meng, Jie ^{[1
]}

Kim, Hyun-Min ^{[1
]}

机构：

[1] Pusan Natl Univ, Dept Math, Busan 609735, South Korea

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2018年 / 39卷 / 04期

关键词：

Banach space; fixed-point iteration; Hermitian positive definite; matrix equation; perturbation bound; PERTURBATION ANALYSIS; X-2;

D O I：

10.1080/01630563.2017.1369108

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a nonlinear matrix equation . The uniqueness of positive definite solution without any extra condition when st is obtained. A fixed-point iteration with stepsize parameter for finding the positive definite solution is proposed. A condition number and some new perturbation bounds of the unique positive definite solution are derived. Finally, some numerical examples are given to show the eciency of the proposed iterative method and perturbation bounds.

引用

页码：398 / 412

页数：15

共 35 条

[1] LADDER NETWORKS, FIXPOINTS, AND THE GEOMETRIC MEAN [J].