THE SYMMETRIC AND SYMMETRIC POSITIVE SEMIDEFINITE SOLUTIONS OF LINEAR MATRIX EQUATION——BTXB = D ON LINEAR MANIFOLDS

被引：5

作者：

邓远北

胡锡炎

张磊

机构：

[1] Challgsha 410082 PRC

[2] Changsha 410082 PRC

[3] College of Mathematics and Econometrics

[4] Hunan Computing Center

[5] Hunan UniVersity

[6] Hunan University

来源：

Numerical Mathematics(Theory,Methods and Applications) | 2003年 / 02期

关键词：

matrix equation; matrix norm; linear manifold; symmetric (positive semidefinite) matrix; optimal approximation;

D O I：

暂无

中图分类号：

O151.21 [矩阵论];

学科分类号：

070104 ;

摘要：

This paper discusses the solutions of the linear matrix equation B;XB=D on some linear manifolds. Some necessary and sufficient conditions for the existence of the solution and the expression of the general solution are given. And also some optimal approximation solutions are discussed.

引用

页码：186 / 192

页数：7

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