Characterizations of k-commutative equalities for some outer generalized inverses

In this paper, we present necessary and sufficient conditions for the k-commutative equality , where X is an outer generalized inverse of the square matrix A. Also, we give new representations for core EP, DMP, and CMP inverses of square matrices as outer inverses with prescribed null space and rang...

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Published inLinear & multilinear algebra Vol. 68; no. 1; pp. 177 - 192
Main Authors Ferreyra, D. E., Levis, F. E., Thome, N.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 02.01.2020
Taylor & Francis Ltd
Subjects
CMP inverse
core EP inverse
Core inverse
DMP inverse
Generalized inverse
k-commutative equalities
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Summary:In this paper, we present necessary and sufficient conditions for the k-commutative equality , where X is an outer generalized inverse of the square matrix A. Also, we give new representations for core EP, DMP, and CMP inverses of square matrices as outer inverses with prescribed null space and range. In addition, we characterize the core EP inverse as the solution of a new system of matrix equations.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2018.1500994