The extremal solution of the matrix equation Xs + A*X-qA = I

被引：6

作者：

Wang, Minghui ^{[1
]}

Wei, Musheng ^{[2
]}

Hu, Shanrui ^{[1
]}

机构：

[1] Qingdao Univ Sci & Technol, Dept Math, Qingdao 266061, Peoples R China

[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 220卷

基金：

中国国家自然科学基金;

关键词：

Positive definite matrix; Nonlinear matrix equation; Iterative algorithm; The maximal solution; The minimal solution; POSITIVE-DEFINITE SOLUTION; EXISTENCE;

D O I：

10.1016/j.amc.2013.06.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the distribution of the positive definite solution of the nonlinear equation X-s + A*X(-q)A = I is deduced, the existence of the maximal solution and the minimal solution is discussed and two new iterative algorithms for obtaining these solutions are proposed. These algorithms avoid matrix inversion. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：193 / 199

页数：7

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