THE POSITIVE SEMIDEFINITE SOLUTION OF THE MATRIX EQUATION （ATXA, BTXB） = （C, D）

被引：0
|
作者：
欧阳柏玉
佟文廷
机构：
来源：
Numerical Mathematics A Journal of Chinese Universities(English Series) | 2004年 / 01期
基金：
中国国家自然科学基金;
关键词：
positive semidefinite matrix; generalized singular value decomposition; matrix equation;
D O I：
暂无
中图分类号：
O151.21 [矩阵论];
学科分类号：
070104 ;
摘要：
In this paper,we consider the positive semidefinite solution of the matrixequation （A;XA, B;XB） = （C, D）. A necessary and sufficient condition for the ex-istence of such solution is derived using the generalized singular value decomposition.The general forms of positive semidefinite solution are given.
引用
收藏
页码：72 / 80
页数：9
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