Paper's Title:

A Determinantal Representation of Core EP Inverse

Author(s):

Divya Shenoy Purushothama

Department of Mathematics,
Manipal Institute of Technology,
Manipal Academy of Higher Education,
Manipal -576104, Karnataka,
India.
E-mail:  divya.shenoy@manipal.edu
URL: https://manipal.edu/mit/department-faculty/faculty-list/divya-shenoy-p.html

Abstract:

The notion of Core EP inverse is introduced by Prasad in the article "Core - EP inverse" and proved its existence and uniqueness. Also, a formula for computing the Core EP inverse is obtained from particular linear combination of minors of a given matrix. Here a determinantal representation for Core EP inverse of a matrix A with the help of rank factorization of A is obtained.

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