Bordering method to compute Core-EP inverse

Author:

Prasad K. Manjunatha1,Raj M. David1

Affiliation:

1. Department of Statistics, PSPH, Manipal Academy of Higher Education, Manipal 576104, India

Abstract

Abstract Following the work of Kentaro Nomakuchi[10] and Manjunatha Prasad et.al., [7] which relate various generalized inverses of a given matrix with suitable bordering,we describe the explicit bordering required to obtain core-EP inverse, core-EP generalized inverse. The main result of the paper also leads to provide a characterization of Drazin index in terms of bordering.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Reference10 articles.

1. [1] O. M. Baksalary and G. Trenkler. Core inverse of matrices. Linear Multilinear Algebra. 58:681-697, 2010.

2. [2] R. B. Bapat, S. K. Jain, K. M. Prasad and M. D. Raj. Outer inverses: Characterization and applications. Linear Algebra Appl. 528:171-184, 2017.

3. [3] A. Ben-Israel and T. N. E. Greville. Generalized Inverses: Theory and applications. Springer-Verlag. 2002.

4. [4] J. W. Blattner. Bordered matrices. J. Soc. Indust. Appl. Math. 10:528-536, 1962.

5. [5] N. Eagambaram. (i, j,..., k)-Inverses via Bordered Matrices. Sankhy¯a: The Indian Journal of Statistics, Series A. 298-308, 1991.

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