Nonnegative group-monotone matrices and the minus partial order

The star partial order and the eigenprojection at 0 on EPThe space of n × 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, some information about predecessors and successors of a given EP matrix is obtained. The second part is dedicated to the study of some properties that relate the eigenprojection at 0 with the star and sharp partial orders.

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“…For instance, some results about the minus partial order on a class of nonnegative matrices are found in [5,6].…”

Section: Introductionmentioning

confidence: 99%

The star partial order and the eigenprojection at 0 on EP matrices

Hernández

Lattanzi

Thome

et al. 2012

Applied Mathematics and Computation

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“…El pre-orden de Drazin se obtuvo al intentar utilizar la misma idea con la inversa de Drazin [48]. En [1,3,4,7,8,9,11,20,21,23,24,25,38,41,45,48,50] N. Castro-González y J. Vélez-Cerrada consideraron, en [16], el concepto…”

Section: Araceli E Hernándezunclassified