WHEN DOES THE MOORE-PENROSE INVERSE FLIP?

被引：10

作者：

Hartwig, R. E. ^{[1
]}

Patricio, P. ^{[2
]}

机构：

[1] NCSU, Dept Math, Raleigh, NC 27695 USA

[2] Univ Minho, Dept Matemat & Aplicacoes, P-4710057 Braga, Portugal

来源：

OPERATORS AND MATRICES | 2012年 / 6卷 / 01期

关键词：

rings; triangular matrices; von Neumann regularity; Moore-Penrose inverse; GENERALIZED INVERSES; PARTITIONED MATRIX; RINGS;

D O I：

10.7153/oam-06-13

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give necessary and sufficient conditions for the matrix [(a)(b) (0)(d)], over a *-regular ring, to have a Moore-Penrose inverse of four different types, corresponding to the four cases where the zero element can stand. In particular, we study the case where the Moore-Penrose inverse of the matrix flips.

引用

页码：181 / 192

页数：12

共 13 条

[1]

Ben-Israel A., 2003, Generalized inverses: theory and applications

[2]

BERBERIAN S. K., BAER RINGS BAER RING

[3]

Cline R.E., 1965, SIAM J NUMER ANAL, P99

[4] REPRESENTATIONS FOR THE GENERALIZED INVERSE OF A PARTITIONED MATRIX [J].