New results on (b,  c)–inverses. Issue 3 (4th March 2018)

• Record Type: Journal Article
• Authors: Ke, Yuanyuan; Cvetković-Ilić, Dragana S.; Chen, Jianlong; Višnjić, Jelena
• Is Part Of: Linear & multilinear algebra. Volume 66:Issue 3(2018)
• Page Start: 447
• Page End: 458
• Publication Date: 2018-03-04
• Subjects: Generalized inverse -- (b -- c)-inverse -- the inverse along an element -- core inverse -- dual core inverse -- Bott–Duffin (e -- f)-inverse; 15A09 -- 16E50; Algebras, Linear -- Periodicals; Multilinear algebra -- Periodicals; 512.505
• DOI: 10.1080/03081087.2017.1301362
• Languages: English
• ISSNs: 0308-1087

Abstract

Abstract : 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.