N. Thome

most citedThe core-EP inverse: A numerical approach for its acute perturbation

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.RA2025

Additive properties and absorption laws for generalized inverses

Yukun Zhou, Jianlong Chen, Nestor Thome

Let $a, f$ be elements in a ring with pseudo core inverses $a^{D ◯}$ , $f^{D ◯}$ , and let $b = f - a$ . We prove that the absorp…

math.RA2024★ 3 cited

The core-EP inverse: A numerical approach for its acute perturbation

Mengmeng Zhou, Jianlong chen, Nestor Thome

This paper studies the concept of stable perturbation $B \in C^{n \times n}$ for the core-EP inverse of a matrix $A \in C^{n \times n}$ with index $k$ . For a given stab…

math.OC2024

Procrustes problem for the inverse eigenvalue problem of normal (skew) $J$ -Hamiltonian matrices and normal $J$ -symplectic matrices

S. Gigola, L. Lebtahi, N. Thome

A square complex matrix $A$ is called (skew) $J$ -Hamiltonian if $A J$ is (skew) hermitian where $J$ is a real normal matrix such that $J^{2} = - I$ , where $I$ is the identity matrix. In…

Additive properties and absorption laws for generalized inverses

The core-EP inverse: A numerical approach for its acute perturbation

Procrustes problem for the inverse eigenvalue problem of normal (skew) J-Hamiltonian matrices and normal J-symplectic matrices

Procrustes problem for the inverse eigenvalue problem of normal (skew) $J$ -Hamiltonian matrices and normal $J$ -symplectic matrices