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

共 26 条

[11] Revisiting the core EP inverse and its extension to rectangular matrices [J].

Ferreyra, D. E. ;

Levis, F. E. ;

Thome, N. .

QUAESTIONES MATHEMATICAE, 2018, 41 (02) :265-281

[12] The inverse eigenvalue problem for a Hermitian reflexive matrix and the optimization problem [J].

Gigola, S. ;

Lebtahi, L. ;

Thome, N. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 291 :449-457

[13] THE WEIGHTED ASTERISK-CORE-NILPOTENT DECOMPOSITION [J].

HARTWIG, RE .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1994, 211 :101-111

[14]

Malesevic B., 2013, ARXIV13126935

[15] On a new generalized inverse for matrices of an arbitrary index [J].

Malik, Saroj B. ;

Thome, Nestor .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 226 :575-580

[16] On a new generalized inverse of matrices [J].

Mehdipour, Mahboobeh ;

Salemi, Abbas .

LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (05) :1046-1053

[17] The DMP Inverse for Rectangular Matrices [J].

Meng, Lingsheng .

FILOMAT, 2017, 31 (19) :6015-6019

[18] The CMP inverse for rectangular matrices [J].

Mosic, Dijana .

AEQUATIONES MATHEMATICAE, 2018, 92 (04) :649-659

[19]

Neumann M., 2013, GROUP INVERSES M MAT

[20]

Penrose R, 1955, MATH P CAMBRIDGE PHI, V51, P406, DOI 10.1017/S0305004100030401

← 1 2 3 →