Bordering method to compute Core-EP inverse

K. Manjunatha Prasad; M. David Raj

doi:10.1515/spma-2018-0016

Bordering method to compute Core-EP inverse

K. Manjunatha Prasad^*
, M. David Raj

^*Corresponding author for this work

Department of Applied Statistics and Data Science, Prasanna School of Public Health, Manipal

Research output: Contribution to journal › Article › peer-review

40 Citations (Scopus)

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.

Original language	English
Pages (from-to)	193-200
Number of pages	8
Journal	Special Matrices
Volume	6
Issue number	1
DOIs	https://doi.org/10.1515/spma-2018-0016
Publication status	Published - 01-01-2018

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Geometry and Topology

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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.",

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AB - 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.

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Bordering method to compute Core-EP inverse

Abstract

All Science Journal Classification (ASJC) codes

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