New results on (b, c)–inverses

2017/03/13 by Yuanyuan Ke, Dragana S. Cvetković-Ilić, Dragana S. Cvetković‐Ilić +2 · 2 citations
Computer Science · Mathematics · #Matrix Theory and Algorithms #Rings, Modules, and Algebras #Advanced Topics in Algebra

paper · doi:10.1080/03081087.2017.1301362

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.

Citations

• Core inverse of matrices

Cited by

• Computation of Generalized Inverses of Tensors via t-Product
• Characterizations of annihilator (b,c)-inverses in arbitrary rings

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