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
收藏
页码：58 / 60
页数：3
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