Representation of the Drazin inverse for special block matrix

被引：14

作者：

Bu, Changjiang ^{[1
]}

Zhao, Jiemei ^{[2
]}

Tang, Jiapei ^{[3
]}

机构：

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

[2] Harbin Engn Univ, Coll Automat, Harbin 150001, Peoples R China

[3] Command & Engn Chem Def, Beijing 102205, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 10期

关键词：

Drazin inverse; Block matrix; Idempotent matrix; OPERATORS; INDEX; SUM;

D O I：

10.1016/j.amc.2010.11.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For A subset of C-nxn, the matrix X subset of C-nxn is said to be the Drazin inverse of A, if it holds that XAX = X, AX = XA, A(r)XA = A(r), where r is the smallest nonnegative integer such that rank (Ar) = rank (A(r+1)). In this paper, we give the representation for the Drazin inverse of the block matrix (A A B O) (A, B is an element of C-nxn, A(2) = A). (c) 2010 Elsevier Inc. All rights reserved.

引用

页码：4935 / 4943

页数：9

共 29 条

[1]

Ben-Israel Adi, 1974, GEN INVERSE THEORY A

[2] 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

[3] Representations of the Drazin inverse on solution of a class singular differential equations [J].

Bu, Changjiang ;

Zhang, Kuize ;

Zhao, Jiemei .

LINEAR & MULTILINEAR ALGEBRA, 2011, 59 (08) :863-877

[4]

Bu CJ, 2010, ELECTRON J LINEAR AL, V20, P406

[5]

Campbell S.L., 1991, GEN INVERSES LINEAR

[6]

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

[7] 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

[8] 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

[9] On the Drazin inverse of the sum of two operators and its application to operator matrices [J].

Castro-Gonzalez, N. ;

Dopazo, E. ;

Martinez-Serrano, M. F. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 350 (01) :207-215

[10] Representations for the Drazin inverse of the sum P plus Q plus R plus S and its applications [J].

Chen, Jianbiao ;

Xu, Zhaoliang ;

Wei, Yimin .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (01) :438-454

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