Core-EP decomposition and its applications

In this paper, we introduce a new decomposition (called the core-EP decomposition in the present paper) for square matrices and give some of its applications. By applying the decomposition, we derive several characterizations of the core-EP inverse, introduce two orders – the core-EP order and the c...

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Bibliographic Details
Published inLinear algebra and its applications Vol. 508; pp. 289 - 300
Main Author Wang, Hongxing
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.11.2016
Subjects
Core-EP decomposition
Core-EP inverse
Core-EP order
Core-minus partial order
15A57
15A24
Core-EP inverse
Core-minus partial order
15A09
Core-EP order
Core-EP decomposition
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Summary:In this paper, we introduce a new decomposition (called the core-EP decomposition in the present paper) for square matrices and give some of its applications. By applying the decomposition, we derive several characterizations of the core-EP inverse, introduce two orders – the core-EP order and the core-minus partial order, and characterize their properties. We also give some properties of the decomposition.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2016.08.008