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The E -relative m -weak group inverse
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Date
Authors
Ferreyra, D. E.
Levis, Fabián Eduardo
Moas, Ruth Paola
Mosic, D.
Orquera, Valentina
Journal Title
Journal ISSN
Volume Title
Publisher
Universidad Siglo 21
Abstract
In this paper the notion of the m-weak group inverse of a complexsquare matrix relative to an invertible Hermitian weight E is introduced.We show several equivalent algebraic characterizations of this new type ofgeneralized inverse. Additionally, different properties, representations, andcharacterizations involving the column space, null space, rank equalities, andprojectors are presented. Finally, we solve a linear equation using this newgeneralized inverse.
Description
Keywords
Weighted Moore-Penrose inverse, E-weighted core-EP inverse, M-WG inverse