Characterization and Representation of Weighted Core Inverse of Matrices
Numerical Analysis
2023-09-27 v3 Numerical Analysis
Rings and Algebras
Abstract
In this paper, we introduce new representation and characterization of the weighted core inverse of matrices. Several properties of these inverses and their interconnections with other generalized inverses are also explored. Through one-sided core and dual-core inverses, we have shown the existence of a generalized weighted Moore-Penrose inverse of matrices. Further, by applying a new representation and using the properties of the weighted core inverse of a matrix, we discuss some new results related to the reverse order law for these inverses.
Keywords
Cite
@article{arxiv.2002.03812,
title = {Characterization and Representation of Weighted Core Inverse of Matrices},
author = {Ratikanta Behera and Jajati Keshari Sahoo and Ram N. Mohapatra},
journal= {arXiv preprint arXiv:2002.03812},
year = {2023}
}
Comments
18 pages