Characterizations and representations of the (P, Q)-outer generalized inverse

被引：3

作者：

Deng, Chunyuan ^{[1
]}

Yu, Anqi ^{[1
]}

Wei, Yimin ^{[2
,3
]}

机构：

[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[3] Fudan Univ, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 269卷

基金：

中国国家自然科学基金;

关键词：

(P; Q)-outer generalized inverse; Idempotent; Orthogonal projector; Positive operator; Moore Penrose inverse; Drazin inverse; DRAZIN INVERSE; A(T; S)((2));

D O I：

10.1016/j.amc.2015.07.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a new explicit expression for the (P, Q)-outer generalized inverse based on the idempotent operators P and Q. We derive properties of the (P, Q)-outer generalized inverse and analyse relations among the various (P, Q)-outer generalized inverses. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：432 / 442

页数：11

共 26 条

[1] [Anonymous], 1985, LINEAR ALGEBRA APPL, DOI DOI 10.1016/0024-3795(85)90055-2
[2] AN INVERSE MATRIX ADJUSTMENT ARISING IN DISCRIMINANT ANALYSIS
BARTLETT, MS
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1951, 22 (01): : 107 - 111
[3] Ben-Israel A., 2003, Generalized inverses: theory and applications
[4] Bodewig E., 1959, Matrix Calculus
[5] Bouldin R.H., 1982, Recent Applications of Generalized Inverses., V66, P233
[6] Castro-González N, 2004, P ROY SOC EDINB A, V134, P1085
[7] Representations of the Moore-Penrose inverse for a class of 2-by-2 block operator valued partial matrices
Deng, Chun Yuan
Du, Hong Ke
[J]. LINEAR & MULTILINEAR ALGEBRA, 2010, 58 (01) : 15 - 26
[8] New additive results for the generalized Drazin inverse
Deng, Chun-yuan
Wei, Yi-min
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 370 (02) : 313 - 321
[9] Outer generalized inverses in rings
Djordjevic, DS
Wei, YM
[J]. COMMUNICATIONS IN ALGEBRA, 2005, 33 (09) : 3051 - 3060
[10] Additive results for the generalized Drazin inverse
Djordjevic, DS
Wei, YM
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2002, 73 : 115 - 125

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