Representations for the image-kernel (p,q)-inverses of block matrices in rings

Author:

Mosić Dijana1

Affiliation:

1. Faculty of Sciences and Mathematics, University of Niš, P.O. Box 224, 18000Niš, Serbia

Abstract

AbstractWe present the conditions for a block matrix of a ring to have the image-kernel{(p,q)}-inverse in the generalized Banachiewicz–Schur form. We give representations for the image-kernel inverses of the sum and the product of two block matrices. Some characterizations of the image-kernel{(p,q)}-inverse in a ring with involution are investigated too.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference30 articles.

1. (P,Q){(P,Q)}-outer generalized inverse of block matrices in Banach algebras;Banach J. Math. Anal.,2014

2. Inner image-kernel (p,q){(p,q)}-inverses in rings;Appl. Math. Comput.,2014

3. Outer generalized inverses in rings and related idempotents;Publ. Math. Debrecen,2008

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