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

页码：72 / 80

页数：9

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