Some properties of submatrices in a solution to the matrix equations AX=C, XB=D

被引：5

作者：

Liu Y. ^{[1
]}

机构：

[1] Department of Applied Mathematics, Shanghai Finance University

来源：

Journal of Applied Mathematics and Computing | 2009年 / 31卷 / 1-2期

关键词：

Independence; Matrix equation; Maximal rank; Minimal rank; Solution; Submatrices; Uniqueness;

D O I：

10.1007/s12190-008-0192-7

中图分类号：

学科分类号：

摘要：

Suppose that AX=C, XB=D has a common solution and partition its solution X=l[{{7.5}{9}{cc}X{1}&X{2}X{3}&X{4}]. In this paper, we give some formulas for the maximal and minimal ranks of the submatrices in a solution X to matrix equations AX=C, XB=D. In addition, we investigate the uniqueness and the independence of submatrices in a solutions X to this equations. © 2008 Korean Society for Computational and Applied Mathematics.

引用

页码：71 / 80

页数：9

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