Ferreyra, D. E.Levis, Fabián EduardoMoas, Ruth PaolaMosic, D.Orquera, Valentina2025-11-042025-11-042025-08https://repositorio.21.edu.ar/handle/ues21/29584In 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.application/pdf13 páginasenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0/Weighted Moore-Penrose inverse, E-weighted core-EP inverse, M-WG inverseinfo:eu-repo/semantics/articleAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttps://doi.org/10.33044/revuma.5181