Expressions and properties of weak core inverse

被引：9

作者：

Mosic, Dijana ^{[1
]}

Stanimirovic, Predrag S. ^{[2
]}

机构：

[1] Univ Nis, Dept Math, Fac Sci & Math, Visegradska 33, Nish 8000, Serbia

[2] Univ Nis, Fac Sci & Math, Visegradska 33, Nish 18000, Serbia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2022年 / 415卷

关键词：

Weak core inverse; Weak group inverse; Core-EP inverse; Perturbation; LIMIT REPRESENTATIONS; GENERALIZED INVERSE; DRAZIN INVERSE; MATRICES; INDEX;

D O I：

10.1016/j.amc.2021.126704

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Various novel expressions of weak core inverse and its dual are developed in this paper. In addition, integral and limit representations as well as perturbation formulae for the weak core and dual weak core inverses are presented. We investigate continuity for the weak core inverse and its dual. The weak core and dual weak core inverses for upper block triangular matrix are considered. A variant of the successive matrix squaring computational iterative scheme is given for calculating the weak core inverse. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：23

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