N. Thome

most citedSimultaneous extension of generalized BT-inverses and core-EP inverses

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.FA2025

Solvability of The Operator Equations $A X - X B = C$ and $A X - Y B = C$

Farida Lombarkia, Assia Bezai, Néstor Thome

This paper provides new necessary and sufficient conditions for the solvability to the operator equations $A X - X B = C$ and $A X - Y B = C,$ where $A$ and $B$ are group invertible operato…

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 $B$ under…

Solvability of The Operator Equations AX−XB=C and AX−YB=C

Simultaneous extension of generalized BT-inverses and core-EP inverses

Lattice properties of the sharp partial order

Solvability of The Operator Equations $A X - X B = C$ and $A X - Y B = C$