Weak m-WG inverse

Dijana Mosić, Mohamed Amine Aouichaoui and Predrag S. Stanimirović

Applied Mathematics and Computation, 2026, vol. 508, issue C

Abstract: The basic idea used in this research is to extend the system of matrix equations that determine the m-weak group inverse (m-WGI) utilizing a minimal rank weak Drazin inverse (MR-WDI) as a generalization of the core-EP inverse. An arbitrary solution of such extended system of equations is termed as weak-m-WGI. Based on the generality arising from the concept of the MR-WDI, the extended system is not uniquely solvable and defines the class of weak-m-WGIs. The class of weak-m-WGIs represents a broad class of generalized inverses, of which the m-WGI and Drazin inverse are particular cases. Characterizations and representations for the weak-m-WGI are proposed as well as its applications in solving certain linear equations. Some original results related to both the Drazin inverse and the m-WGI are obtained as featured particular cases.

Keywords: Minimal rank weak Drazin inverse; m-WG inverse; Core–EP inverse; Drazin inverse (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:508:y:2026:i:c:s0096300325003856

DOI: 10.1016/j.amc.2025.129659

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