Necessary and sufficient conditions for the existence of a positive definite solution of equation X + Σi=1n Ai*X-1 Ai = I

被引：0

作者：

He, Youmei ^{[1
]}

Long, Jianhui ^{[1
]}

Zhan, Huijing ^{[1
]}

机构：

[1] Fujian Univ Technol, Dept Math & Phys, Fuzhou, Peoples R China

来源：

PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON APPLIED MATRIX THEORY | 2009年

关键词：

Necessary and sufficient condition; nonlinear matrix equation; positive definite solution; MATRIX EQUATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The matrix equation X + Sigma(n)(i=1) A(i)*X(-1) A(i) = I is studied. Some necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation are obtained. Based on them, some properties of the the coefficient matrix are presented when the matrix equation has a positive definite solution.

引用

页码：58 / 60

页数：3

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