RANKS AND INDEPENDENCE OF SOLUTIONS OF THE MATRIX EQUATION AXB

被引：0
|
作者：
Tian, Yongge [1 ]
机构：
[1] Shanghai Univ Finance & Econ, Sch Econ, Shanghai 200433, Peoples R China
来源：
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE | 2006年 / 75卷 / 01期
关键词：
Generalized inverse; matrix equation; rank equality; rank formulas for partitioned matrices; general solution; independence of solutions;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Suppose AXB + CY D = M is a consistent matrix equation. In this paper, we give some formulas for the maximal and minimal ranks of two solutions X and Y to the equation. In addition, we investigate the independence of solutions X and Y to this equation.
引用
收藏
页码：75 / 84
页数：10
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