most citedProperties of core-EP matrices and binary relationships

5 citations · 9 across the 7 of their papers we have counts for

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7 papers

math.RA20243 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 for the core-EP inverse of a matrix with index . For a given stab…

math.RA2024

On diamond partial order, one-sided star partial orders, and 1MP-inverses

María Valeria Hernández, Marina B. Lattanzi, Néstor Thome

This paper provides some new characterizations of the diamond partial order for rectangular matrices by using properties of inner inverses, minus order, and SVD decompositions. In…

math.NA20245 cited

Properties of core-EP matrices and binary relationships

Ehsan Kheirandish, Abbas Salemi, Néstor Thome

In this paper, various properties of core-EP matrices are investigated. We introduce the MPDMP matrix associated with and by means of it, some properties and equivalent conditi…

math.RA2024

Parametrizing -weighted BT inverse to obtain the -weighted -BT inverse

D. E. Ferreyra, N. Thome, C. Torigino

The core-EP and BT inverses for rectangular matrices were studied recently in the literature. The main aim of this paper is to unify both concepts by means of a new kind of general…

math.NA20241 cited

G-Drazin inverse combined with inner inverse

G. Maharanaa, J. K. Sahooa, Nestor Thome

This paper introduces new classes of generalized inverses for square matrices named GD1, and the dual, called 1GD inverse. In addition, we discuss a few characterizations and repre…

math.OC2024

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

S. Gigola, L. Lebtahi, N. Thome

A square complex matrix is called (skew) -Hamiltonian if is (skew) hermitian where is a real normal matrix such that , where is the identity matrix. In…