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Characterizations and perturbation analysis of a class of matrices related to core-EP inverses

Zhou, Mengmeng; Chen, Jianlong; Thome, Néstor (Elsevier, 2021-09)

[EN] Let A, B is an element of C-nxn with ind(A) = k and ind(B) = s and let L-B = (BB)-B-2(sic). A new condition (C-s,C-*): R(A(k)) boolean AND N((B-s)*) = {0} and R(B-s) boolean AND N((A(k))*) = {0}, is defined. Some new ...
On a partial order defined by the weighted Moore Penrose inverse

Hernández, Araceli Elisabet; Lattanzi, Marina Beatriz; Thome, Néstor (Elsevier, 2013-03-15)

The weighted Moore-Penrose inverse of a matrix can be used to define a partial order on the set of m x n complex matrices and to introduce the concept of weighted-EP matrices. In this paper we study the weighted star partial ...
The star partial order and the eigenprojection at 0 on EP matrices

Hernández, Araceli Elisabet; Lattanzi, Marina Beatriz; Thome, Néstor; Urquiza, Fabián (Elsevier, 2012-07-01)

[EN] The space of n x n complex matrices with the star partial order is considered in the first part of this paper. The class of EP matrices is analyzed and several properties related to this order are given. In addition, ...

Mostrando ítems 1-3 de 3