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Characterizations of the Weighted Core-EP Inverses

Behera, R and Maharana, G and Sahoo, JK and Stanimirović, PS (2022) Characterizations of the Weighted Core-EP Inverses. In: Bulletin of the Iranian Mathematical Society .

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Official URL: https://doi.org/10.1007/s41980-022-00715-x


Following the popularity of the core-EP (c-EP) and weighted core-EP (w-c-EP) inverses, so called one-sided versions of the w-c-EP inverse are introduced recently in Behera et al. (Results Math 75:174 (2020). These extensions are termed as E-w-c-EP and F-w-d-c-EP g-inverses as well as the star E-w-c-EP and the F-w-d-c-EP star classes of g-inverses. The applicability of these g-inverses in solving certain restricted matrix equations has been verified. Several additional results on these classes of g-inverses are established in this paper. In addition, the Moore–Penrose E-w-c-EP inverse and the F-w-d-c-EP Moore–Penrose inverse are proposed using proper expressions that involve the Moore–Penrose inverse and the E-w-c-EP or F-we-d-c-EP inverse. Further, the W-weighted Moore–Penrose c-EP and the W-weighted c-EP Moore–Penrose g-inverses are considered with the aim to extend the considered w-c-EP generalized inverses to rectangular matrices. Characterizations, properties, representations and applications of these inverses are considered.

Item Type: Journal Article
Publication: Bulletin of the Iranian Mathematical Society
Publisher: Springer
Additional Information: The copyright for this article belongs to the Springer.
Keywords: 15A09; 15A24; 15A30; Core-EP inverse; Core-EP inverse; Generalized inverses; Generalized inverses; Moore–Penrose inverse; Moore–Penrose inverse; W-weighted core-EP inverse; W-weighted core-EP inverse; Weighted core-EP inverse; Weighted core-EP inverse
Department/Centre: Division of Interdisciplinary Sciences > Computational and Data Sciences
Date Deposited: 23 Aug 2022 05:32
Last Modified: 23 Aug 2022 05:32
URI: https://eprints.iisc.ac.in/id/eprint/76167

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