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.
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页码：71 / 80
页数：9
相关论文
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