Core–EP inverse

Prasad, Manjunatha K (2013) Core–EP inverse. Linear and Multilinear Algebra. pp. 2-12.

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Abstract

In this work, we introduce a notion of ‘core–EPinverse’for a square matrix which is not essentially of indexone.This extends the notion of‘coreinverse’,whichwas initially defined for the matrices of index one. The properties of matrices having ‘core–EP inverse’ and ‘core–EP generalized inverse’ are studied, and obtained a formula to compute the core–EP generalized inverse from a particular linear combination of minors of given matrix

Item Type: Article
Uncontrolled Keywords: Moore–Penrose inverse; Group inverse; Drazin inverse; Generalized inverse; EP matrix; Core inverse; Core–EP inverse; *Core–EP inverse
Subjects: Departments at MU > Statistics
Depositing User: KMC Manipal
Date Deposited: 13 Feb 2014 09:22
Last Modified: 13 Feb 2014 09:22
URI: http://eprints.manipal.edu/id/eprint/138828

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