On block triangular matrices with signed Drazin inverse

被引：2

作者：

Bu, Changjiang ^{[1
]}

Wang, Wenzhe ^{[1
]}

Zhou, Jiang ^{[1
,2
]}

Sun, Lizhu ^{[3
]}

机构：

[1] Harbin Engn Univ, Coll Sci, Harbin 150001, Heilongjiang Pr, Peoples R China

[2] Harbin Engn Univ, Coll Comp Sci & Technol, Harbin 150001, Heilongjiang Pr, Peoples R China

[3] Harbin Inst Technol, Sch Sci, Harbin 150001, Heilongjiang Pr, Peoples R China

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2014年 / 64卷 / 04期

基金：

中国国家自然科学基金;

关键词：

sign pattern matrix; signed Drazin inverse; strong sign nonsingular matrix; GENERALIZED INVERSES; PATTERNS;

D O I：

10.1007/s10587-014-0141-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The sign pattern of a real matrix A, denoted by sgnA, is the (+, -, 0)-matrix obtained from A by replacing each entry by its sign. Let Q(A) denote the set of all real matrices B such that sgnB = sgnA. For a square real matrix A, the Drazin inverse of A is the unique real matrix X such that A (k+1) X = A (k) , XAX = X and AX = XA, where k is the Drazin index of A. We say that A has signed Drazin inverse if for any , where A (d) denotes the Drazin inverse of A. In this paper, we give necessary conditions for some block triangular matrices to have signed Drazin inverse.

引用

页码：883 / 892

页数：10

共 13 条

[1]

[Anonymous], 1991, ENCY MATH ITS APPL

[2]

Brualdi R.A., 1995, Cambridge Tracts in Mathematics, V116

[3] BIPARTITE GRAPHS AND INVERSE SIGN PATTERNS OF STRONG SIGN-NONSINGULAR MATRICES [J].

BRUALDI, RA ;

CHAVEY, KL ;

SHADER, BL .

JOURNAL OF COMBINATORIAL THEORY SERIES B, 1994, 62 (01) :133-150

[4]

Campbell S. L., 1979, SURVEYS REFERENCE WO, V4

[5] Graphical description of group inverses of certain bipartite matrices [J].

Catral, M. ;

Olesky, D. D. ;

van den Driessche, P. .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (01) :36-52

[6] Potentially nilpotent sign pattern matrices [J].

Eschenbach, CA ;

Li, ZS .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 299 (1-3) :81-99

[7] LEAST-SQUARES SIGN-SOLVABILITY [J].

SHADER, BL .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1995, 16 (04) :1056-1073

[8] Characterizations of some classes of strong sign nonsingular diagraphs [J].

Shao, JY ;

Hu, ZX .

DISCRETE APPLIED MATHEMATICS, 2000, 105 (1-3) :159-172

[9] Matrices with special sign patterns of signed generalized inverses [J].

Shao, JY ;

He, JL ;

Shan, HY .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2003, 24 (04) :990-1002

[10] Matrices with signed generalized inverses [J].

Shao, JY ;

Shan, HY .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2001, 322 (1-3) :105-127

← 1 2 →