GDMP-inverses of a matrix and their duals

被引：11

作者：

Hernandez, M., V ^{[1
]}

Lattanzi, M. B. ^{[1
]}

Thome, N. ^{[2
]}

机构：

[1] Univ Nacl La Pampa, Fac Ciencias Exactas & Nat, Santa Rosa, Argentina

[2] Univ Politecn Valencia, Inst Univ Matemat Multidisciplinar, Valencia 46022, Spain

来源：

LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 19期

关键词：

Generalized inverse; Moore-Penrose inverse; matrix equation; G-Drazin inverse; CORE;

D O I：

10.1080/03081087.2020.1857678

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper introduces and investigates a new class of generalized inverses, called GDMP-inverses (and their duals), as a generalization of DMP-inverses. GDMP-inverses are defined from G-Drazin inverses and the Moore-Penrose inverse of a complex square matrix. In contrast to most other generalized inverses, GDMP-inverses are not only outer inverses but also inner inverses. Characterizations and representations of GDMP-inverses are obtained by means of the core-nilpotent and the Hartwig-Spindelbock decompositions.

引用

页码：3923 / 3935

页数：13

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