On common generalized inverses of a pair of matrices

被引：5

作者：

Tian, YG ^{[1
]}

Takane, Y

机构：

[1] Shanghai Univ Finance & Econ, Sch Econ, Shanghai 200433, Peoples R China

[2] McGill Univ, Dept Psychol, Montreal, PQ H3A 1B1, Canada

来源：

LINEAR & MULTILINEAR ALGEBRA | 2006年 / 54卷 / 03期

关键词：

generalized inverses; rank formulas for partitioned matrices; range equality; set inclusion; set equality;

D O I：

10.1080/03081080500286560

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Necessary and sufficient conditions are established for a pair of matrices of the same size to have a common {1}-inverse, {1,2}-inverse, {1,3}-inverse, {1,4}-inverse, {1,2,3}-inverse and {1,2,4}-inverse, {1,3,4}-inverse, respectively. The relations between (A*)(-) and (A(-))* are also investigated. In addition, some consequences and applications are given.

引用

页码：195 / 209

页数：15

共 14 条

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