A weak group inverse for rectangular matrices

被引:0
作者
D. E. Ferreyra
V. Orquera
N. Thome
机构
[1] Universidad Nacional de Río Cuarto,Instituto Universitario de Matemática Multidisciplinar
[2] FCEFQyN,undefined
[3] Universitat Politécnica de Valéncia,undefined
[4] Universitat Politècnica de València,undefined
来源
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2019年 / 113卷
关键词
Generalized inverses; Weighted weak group inverse; Weighted core EP inverse; Weighted Drazin inverse; 15A09;
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中图分类号
学科分类号
摘要
In this paper, we extend the notion of weak group inverse to rectangular matrices (called W-weighted WG inverse) 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.
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页码:3727 / 3740
页数:13
相关论文
共 42 条
[1]  
Baksalary OM(2010)Core inverse of matrices Linear Multilinear Algebra 58 681-697
[2]  
Trenkler G(2014)On a generalized core inverse Appl. Math. Comput. 236 450-457
[3]  
Baksalary OM(1980)A Drazin inverse for rectangular matrices Linear Algebra Appl. 29 53-62
[4]  
Trenkler G(2007)The weighted g-Drazin inverse for operators J. Aust. Math. Soc. 2 163-181
[5]  
Cline RE(1993)A theory of generalized inverses applied to robotics Int. J. Rob. Res. 12 1-19
[6]  
Greville TNE(1958)Pseudo-inverses in associate rings and semirings Am. Math. Mon. 65 506-514
[7]  
Dajić A(2018)Revisiting of the core EP inverse and its extension to rectangular matrices Quaest. Math. 41 265-281
[8]  
Koliha JJ(2018)Maximal classes of matrices determining generalized inverses Appl. Math. Comput. 333 42-52
[9]  
Doty KL(2016)The inverse eigenvalue problem for a Hermitian reflexive matrix and the optimization problem J. Comput. Appl. Math. 291 449-457
[10]  
Melchiorri C(1994)The weighted Linear Algebra Appl. 211 101-111