Weak group inverse

In this paper, we introduce the weak group inverse (called as the WG inverse in the present paper) for square complex matrices of an arbitrary index, and give some of its characterizations and properties. Furthermore, we introduce two orders: one is a pre-order and the other is a partial order, and...

Full description

Saved in:
Bibliographic Details
Published inOpen mathematics (Warsaw, Poland) Vol. 16; no. 1; pp. 1218 - 1232
Main Authors Wang, Hongxing, Chen, Jianlong
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 31.10.2018
De Gruyter Poland
Subjects
15A09
15A24
15A57
CE partial order
Core-EP decomposition
Group inverse
Weak group inverse
WG order
Online AccessGet full text

Cover

More Information
Summary:In this paper, we introduce the weak group inverse (called as the WG inverse in the present paper) for square complex matrices of an arbitrary index, and give some of its characterizations and properties. Furthermore, we introduce two orders: one is a pre-order and the other is a partial order, and derive several characterizations of the two orders. The paper ends with a characterization of the core EP order using WG inverses.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2018-0100