Re-nnd solutions of the matrix equation A X B=C

被引：51

作者：

Cvetkovic-Ilic, Dragana S. ^{[1
]}

机构：

[1] Univ Nis, Dept Math, Nish 18000, Serbia

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2008年 / 84卷 / 01期

关键词：

matrix equation; Hermitian part; Re-nnd solutions;

D O I：

10.1017/S1446788708000207

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we consider Re-nnd solutions of the equation A X B = C with respect to X, where A, B, C are given matrices. We give necessary and sufficient conditions for the existence of Re-nnd solutions and present a general form of such solutions. As a special case when A = I we obtain the results from a paper of GroB ('Explicit solutions to the matrix inverse problem A X = B', Linear Algebra Appl. 289 (1999), 131-134).

引用

页码：63 / 72

页数：10

共 24 条

[1] CONDITIONS FOR POSITIVE AND NONNEGATIVE DEFINITENESS IN TERMS OF PSEUDOINVERSES [J].