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

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