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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).

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Official URL: https://doi.org/10.1007/s41980-023-00826-z


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

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