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Characterizations of {K,s+1}-Potent Matrices and Applications

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Characterizations of {K,s+1}-Potent Matrices and Applications

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dc.contributor.author Lebtahi Ep-Kadi-Hahifi, Leila es_ES
dc.contributor.author Romero Martínez, José Oscar es_ES
dc.contributor.author Thome, Néstor es_ES
dc.date.accessioned 2014-05-23T10:29:07Z
dc.date.issued 2012-01-15
dc.identifier.issn 0024-3795
dc.identifier.uri http://hdl.handle.net/10251/37709
dc.description.abstract Recently, situations where a matrix coincides with some of its powers have been studied. This kind of matrices is related to the generalized inverse matrices. On the other hand, it is possible to introduce another class of matrices that involve an involutory matrix, generalizing the well-known idempotent matrix, widely useful in many applications. In this paper, we introduce a new kind of matrices called {K,s+1}-potent, as an extension of the aforementioned ones. First, different properties of {K,s+1}-potent matrices have been developed. Later, the main result developed in this paper is the characterization of this kind of matrices from a spectral point of view, in terms of powers of the matrix, by means of the group inverse and, via a block representation of a matrix of index 1. Finally, an application of the above results to study linear combinations of {K,s+1}-potent matrices is derived. © 2010 Elsevier Inc. All rights reserved. es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Linear Algebra and its Applications es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Group inverse matrix es_ES
dc.subject Idempotent matrix es_ES
dc.subject Involutory matrix es_ES
dc.subject Spectrum es_ES
dc.subject Block representation es_ES
dc.subject Generalized inverse es_ES
dc.subject Group inverse es_ES
dc.subject Linear combinations es_ES
dc.subject Matrix es_ES
dc.subject Inverse problems es_ES
dc.subject Matrix algebra es_ES
dc.subject.classification INGENIERIA TELEMATICA es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Characterizations of {K,s+1}-Potent Matrices and Applications es_ES
dc.type Artículo es_ES
dc.embargo.lift 10000-01-01
dc.embargo.terms forever es_ES
dc.identifier.doi 10.1016/j.laa.2010.11.034
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Comunicaciones - Departament de Comunicacions es_ES
dc.description.bibliographicCitation Lebtahi Ep-Kadi-Hahifi, L.; Romero Martínez, JO.; Thome, N. (2012). Characterizations of {K,s+1}-Potent Matrices and Applications. Linear Algebra and its Applications. 436(2):293-306. doi:10.1016/j.laa.2010.11.034 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.laa.2010.11.034 es_ES
dc.description.upvformatpinicio 293 es_ES
dc.description.upvformatpfin 306 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 436 es_ES
dc.description.issue 2 es_ES
dc.relation.senia 205418


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