Group inverse for the block matrices with an invertible subblock

被引：52

作者：

Bu, Changjiang ^{[1
]}

Li, Min ^{[1
]}

Zhang, Kuize ^{[1
]}

Zheng, Lan ^{[1
]}

机构：

[1] Harbin Engn Univ, Dept Appl Math, Coll Sci, Harbin 150001, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 01期

关键词：

Skew field; Group inverse; Invertible subblock; {1}-Inverse; DRAZIN INVERSE; REPRESENTATIONS;

D O I：

10.1016/j.amc.2009.04.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M = ((A B)(C D)) (A is square) be a square block matrix with an invertible subblock over a skew field K. In this paper, we give the necessary and sufficient conditions for the existence as well as the expressions of the group inverse for M under some conditions. Published by Elsevier Inc.

引用

页码：132 / 139

页数：8

共 20 条

[1]

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

[2]

Bhaskara Rao K. P. S., 2002, The theory of generalized inverses over commutative rings

[3]

[卜长江 BU Chang jiang], 2006, [数学杂志, Journal of Mathematics (PRC)], V26, P49

[4] Group inverse for a class 2x2 block matrices over skew fields [J].

Bu, Changjiang ;

Zhao, Jiemei ;

Zheng, Jinshan .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 204 (01) :45-49

[5]

Campbell S.L., 1991, GEN INVERSES LINEAR

[6]

Campbell S.T., 1983, Linear Multilinear Algebra, V14, P195, DOI DOI 10.1080/03081088308817556

[7]

Cao C., 2006, INT MATH FORUM, V31, P1511

[8]

Cao C., 2001, J NATURAL SCI HEILON, V18, P5

[9] Formulas for the drazin inverse of special block matrices [J].

Castro-González, N ;

Dopazo, E ;

Robles, J .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 174 (01) :252-270

[10] Representations of the Drazin inverse for a class of block matrices [J].

Castro-González, N ;

Dopazo, E .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 400 :253-269

← 1 2 →