1. New results on (b, c)–inverses
- Author
-
Dragana S. Cvetković-Ilić, Jelena Višnjić, Yuanyuan Ke, and Jianlong Chen
- Subjects
Pure mathematics ,Algebra and Number Theory ,Generalized inverse ,Group (mathematics) ,010102 general mathematics ,Mathematical analysis ,Inverse ,010103 numerical & computational mathematics ,01 natural sciences ,Multiplicative inverse ,Inverse function ,0101 mathematics ,Dual core ,Mathematics - 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.
- Published
- 2017