The CEPGD-Inverse for Square Matrices

Panda, SK and Sahoo, JK and Behera, R and Stanimirovi�, PS and Mosi�, D and Stupina, AA (2023) The CEPGD-Inverse for Square Matrices. In: Bulletin of the Iranian Mathematical Society, 49 (6).

PDF Bul_of_the_49_2023.pdf - Published Version Restricted to Registered users only Download (385kB) | Request a copy

Abstract

This paper introduces a new class of generalized inverses for square matrices: core-EP G-Drazin (CEPGD) inverse. The CEPGD inverse is not unique and defined as a proper composition of the core-EP and the G-Drazin inverse. Representations of CEPGD inverses related to the core-nilpotent decomposition and the Hartwig�Spindelböck decomposition are established. The existence of CEPGD inverses as well as a few characterizations and representations of this inverse are discussed. In addition, we consider some additional properties of the CEPGD inverses through an induced binary relation. © 2023, The Author(s) under exclusive licence to Iranian Mathematical Society.

Item Type:	Journal Article
Publication:	Bulletin of the Iranian Mathematical Society
Publisher:	Springer
Additional Information:	The copyright for this article belongs to Springer.
Department/Centre:	Division of Interdisciplinary Sciences > Computational and Data Sciences
Date Deposited:	28 Feb 2024 12:44
Last Modified:	28 Feb 2024 12:44
URI:	https://eprints.iisc.ac.in/id/eprint/83654

Actions (login required)

View Item