Characterization and Representation of Weighted Core Inverse of Matrices

Autor:	Behera, Ratikanta, Sahoo, Jajati Keshari, Mohapatra, Ram N.
Rok vydání:	2020
Předmět:	Mathematics - Numerical Analysis Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	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. Comment: 18 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.03812 Zobrazit plný text záznamu View this record from Arxiv