A weak group inverse for rectangular matrices

被引：35

作者：

Ferreyra, D. E. ^{[1
]}

Orquera, V. ^{[2
]}

Thome, N. ^{[3
]}

机构：

[1] Univ Nacl Rio Cuarto, FCEFQyN, RN 36 Km 601, RA-5800 Rio Cuarto, Cordoba, Argentina

[2] Univ Politecn Valencia, E-46022 Valencia, Spain

[3] Univ Politecn Valencia, Inst Univ Matemat Multidisciplinar, E-46022 Valencia, Spain

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 04期

关键词：

Generalized inverses; Weighted weak group inverse; Weighted core EP inverse; Weighted Drazin inverse; DRAZIN INVERSE; GENERALIZED INVERSES;

D O I：

10.1007/s13398-019-00674-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we extend the notion of weak group inverse to rectangular matrices (called WweightedWGinverse) by using the weighted core EP inverse recently investigated. This new generalized inverse also generalizes the well-known weighted group inverse given by Cline and Greville. In addition, we give several representations of the W-weighted WG inverse, and derive some characterizations and properties.

引用

页码：3727 / 3740

页数：14

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