The projection m-weak group inverse
Year: 2025
Type: article
Abstract: This paper introduces the projection $m$-weak group inverse (or P-$m$-WG inverse) for square complex matrices as a linear combination of the $m$-WG inverse $A^{weak_m}$ and its associated projectors $A^{weak_m}A$ and $AA^{weak_m}$. We establish the uniqueness of the P-$m$-WG inverse for any matrix with an arbitrary index and provide several characterizations and properties of this generalized inverse. We explore the connections between the P-$m$-WG inverse of a matrix and it´s other known generalized inverses by using the core-EP decomposition of the matrix.
Source: Conicet
Authors: Malik, Saroj B., Ferreyra, David Eduardo, Levis, Fabián Eduardo, Orquera, Valentina
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7112074162
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