Characterization for the general solution to a system of matrix equations with quadruple variables

被引：3

作者：

Zhang, Xiang ^{[1
]}

机构：

[1] Guizhou Normal Univ, Dept Math, Guiyang 550014, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 226卷

关键词：

Linear matrix equation; Moore-Penrose inverse; Rank; EXTREME RANKS; ASTERISK;

D O I：

10.1016/j.amc.2013.10.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give some necessary and sufficient conditions for the solvability to the system of matrix equations A(1)X(1) = C-1, X2B1 = D-1 A(2)X(3) = C-2, X3B2 = D-2, A(3)X(4) = C-3, X4B3 = D-3, A(4)X(1) + X2B4 + C4X3D4 + C5X4D5 = E-1 and provide an expression of the general solution to (0.1). Furthermore, we obtain the maximal and minimal ranks of X-3 and X-4 in (0.1). The findings of this paper extend the known results in the literatures. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：274 / 287

页数：14

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