Further results on weighted core-EP inverse of matrices
Numerical Analysis
2021-09-21 v2 Numerical Analysis
Abstract
In this paper, we introduce the notation of -weighted core-EP and -weighted dual core-EP inverse of matrices. We then obtain a few explicit expressions for the weighted core-EP inverse of matrices through other generalized inverses. Further, we discuss the existence of generalized weighted Moore-Penrose inverse and additive properties of the weighted core-EP inverse of matrices. In addition to these, we propose the star weighted core-EP and weighted core-EP star class of matrices for solving the system of matrix equations. We further elaborate on this theory by producing a few representation and characterization of star weighted core-EP and weighted core-EP star classes of matrices.
Keywords
Cite
@article{arxiv.2005.02974,
title = {Further results on weighted core-EP inverse of matrices},
author = {Ratikanta Behera and Gayatri Maharana and Jajati Keshari Sahoo},
journal= {arXiv preprint arXiv:2005.02974},
year = {2021}
}
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20 Pages