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math.RA2025★ 1 cited
Simultaneous extension of generalized BT-inverses and core-EP inverses
Abdessalam Kara, Néstor Thome, Dragan S. Djordjevi'c
In this paper we introduce the generalized inverse of complex square matrix with respect to other matrix having same size. Some of its representations, properties and characterizat…
math.RA2024
Lattice properties of the sharp partial order
Cecilia R. Cimadamore, Laura A. Rueda, Néstor Thome +1
The aim of this paper is to study lattice properties of the sharp partial order for complex matrices having index at most 1. We investigate the down-set of a fixed matrix under…