GENERALIZED CORE INVERSES OF MATRICES

被引：8

作者：

Xu, Sanzhang ^{[1
]}

Chen, Jianlong ^{[2
]}

Benitez, Julio ^{[3
]}

Wang, Dingguo ^{[4
]}

机构：

[1] Huaiyin Inst Technol, Fac Math & Phys, Huaian 223003, Peoples R China

[2] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

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

[4] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

来源：

MISKOLC MATHEMATICAL NOTES | 2019年 / 20卷 / 01期

基金：

中国国家自然科学基金;

关键词：

i; m >-core inverse; (j; m)-core inverse; core inverse; DMP-inverse; core-EP inverse; DECOMPOSITION;

D O I：

10.18514/MMN.2019.2594

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce two new generalized inverses of matrices, namely, the < i, m >-core inverse and the (j, m)-core inverse. The < i, m >-core inverse of a complex matrix extends the notions of the core inverse defined by Baksalary and Trenkler [1] and the core-EP inverse defined by Manjunatha Prasad and Mohana [10]. The (j, m)-core inverse of a complex matrix extends the notions of the core inverse and the DMP-inverse defined by Malik and Thome [9]. Moreover, the formulae and properties of these two new concepts are investigated by using matrix decompositions and matrix powers.

引用

页码：565 / 584

页数：20

共 13 条

[1]

[Anonymous], 2009, GEN INVERSES LINEAR

[2] Core inverse of matrices [J].

Baksalary, Oskar Maria ;

Trenkler, Goetz .

LINEAR & MULTILINEAR ALGEBRA, 2010, 58 (06) :681-697

[3] A short proof of a matrix decomposition with applications [J].

Benitez, Julio ;

Liu, Xiaoji .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (03) :1398-1414

[4] A NEW DECOMPOSITION FOR SQUARE MATRICES [J].

Benitez, Julio .

ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2010, 20 :207-225

[5]

Chen J., 1992, J XINJIANG U NATUR S, V9, P44

[6]

Cline R. E., 1965, TECH REP

[7] INVERSES OF RANK INVARIANT POWERS OF A MATRIX [J].

CLINE, RE .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1968, 5 (01) :182-+

[8]

Hartwig RE., 1983, Linear and Multilinear Algebra, V14, P241, DOI [10.1080/03081088308817561, DOI 10.1080/03081088308817561]

[9] 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

[10] Core-EP inverse [J].

Prasad, K. Manjunatha ;

Mohana, K. S. .

LINEAR & MULTILINEAR ALGEBRA, 2014, 62 (06) :792-802

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