Representations and properties of the W-Weighted Drazin inverse

被引：26

作者：

Stanimirovic, Predrag S. ^{[1
]}

Katsikis, Vasilios N. ^{[2
]}

Ma, Haifeng ^{[3
]}

机构：

[1] Univ Nis, Fac Sci & Math, Nish, Serbia

[2] Natl & Kapodistrian Univ Athens, Dept Econ, Div Math & Informat, Athens, Greece

[3] Harbin Normal Univ, Sch Math Sci, Harbin, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2017年 / 65卷 / 06期

基金：

中国国家自然科学基金;

关键词：

W-weighted Drazin inverse; pseudoinverse; group inverse; outer inverse; CONDITION NUMBER; PERTURBATION BOUNDS;

D O I：

10.1080/03081087.2016.1228810

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Several new representations of the W-weighted Drazin inverse are introduced. These representations are expressed in terms of various matrix powers as well as in terms of matrix products involving the Moore-Penrose inverse and the usual matrix inverse. Also, the properties of various generalized inverses which arise from derived representations are investigated. The computational complexity and efficiency of the proposed representations are considered. Representations are tested and compared among themselves in a substantial number of randomly generated test examples.

引用

页码：1080 / 1096

页数：17

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