Matrix equations AX ± XT AT = B over an arbitrary regular ring

被引：3

作者：

Khan, Israr Ali ^{[1
]}

Wang, Qing-Wen ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPPLICATIONS, VOL 1 | 2009年

关键词：

Matrix equation; Regular ring; Reflexive inverse of a matrix; Inner inverse of a matrix; SYSTEMS;

D O I：

10.1145/1838002.1838049

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the matrix equations AX +/- X(T) A(T) = B over R, an arbitrary regular ring with identity. Necessary and sufficient conditions for the existence and new expressions of the general solutions to the equations are derived.

引用

页码：1 / 4

页数：4

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