New results on (b, c)-inverses

In this paper, we present some necessary and sufficient conditions for the existence of the (b, c)-inverse and several representations for the (b, c)-inverse related to the group inverse. Since Mary inverse, core inverse, dual core inverse and Bott-Duffin (e, f)-inverse are all the special cases of...

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Bibliographic Details
Published in:Linear & multilinear algebra 2018-03, Vol.66 (3), p.447-458
Main Authors: Ke, Yuanyuan, Cvetković-Ilić, Dragana S., Chen, Jianlong, Višnjić, Jelena
Format: Article
Language:English
Subjects:
15A09
Bott-Duffin (e
c)-inverse
core inverse
dual core inverse
f)-inverse
Generalized inverse
the inverse along an element
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Summary:In this paper, we present some necessary and sufficient conditions for the existence of the (b, c)-inverse and several representations for the (b, c)-inverse related to the group inverse. Since Mary inverse, core inverse, dual core inverse and Bott-Duffin (e, f)-inverse are all the special cases of the (b, c)-inverse, related results for these inverses are obtained.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2017.1301362