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On a matrix group constructed from an {R,s+1,K}-potent matrix

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On a matrix group constructed from an {R,s+1,K}-potent matrix

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dc.contributor.author Catral, M. es_ES
dc.contributor.author Lebtahi Ep-Kadi-Hahifi, Leila es_ES
dc.contributor.author Stuart, Jeffrey es_ES
dc.contributor.author Thome, Néstor es_ES
dc.date.accessioned 2016-06-13T07:09:14Z
dc.date.available 2016-06-13T07:09:14Z
dc.date.issued 2014-11-15
dc.identifier.issn 0024-3795
dc.identifier.uri http://hdl.handle.net/10251/65698
dc.description.abstract Let R is an element of C-nxn be a {k}-involutory matrix (that is, R-k = I-n) for some integer k >= 2, and let s be a nonnegative integer. A matrix A is an element of C-nxn is called an {R,s + 1, k}-potent matrix if A satisfies RA = A(s+1)R. In this paper, a matrix group corresponding to a fixed {R,s + 1, k}-potent matrix is explicitly constructed, and properties of this group are derived and investigated. This group is then reconciled with the classical matrix group G(A) that is associated with a generalized group invertible matrix A. es_ES
dc.description.sponsorship This work has been partially supported by Ministerio de Economia y Competitividad of Spain, grant DGI MTM2010-18228. en_EN
dc.language Español es_ES
dc.publisher Elsevier es_ES
dc.relation info:eu-repo/grantAgreement/MICINN//MTM2010-18228/ES/PROPIEDADES MATRICIALES CON APLICACION A LA TEORIA DE CONTROL/ es_ES
dc.relation.ispartof Linear Algebra and its Applications es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject {R, s+1, k}-potent matrix es_ES
dc.subject Group inverse es_ES
dc.subject Matrix group es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On a matrix group constructed from an {R,s+1,K}-potent matrix es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.laa.2014.08.005
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Catral, M.; Lebtahi Ep-Kadi-Hahifi, L.; Stuart, J.; Thome, N. (2014). On a matrix group constructed from an {R,s+1,K}-potent matrix. Linear Algebra and its Applications. 461:200-210. https://doi.org/10.1016/j.laa.2014.08.005 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.laa.2014.08.005 es_ES
dc.description.upvformatpinicio 200 es_ES
dc.description.upvformatpfin 210 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 461 es_ES
dc.relation.senia 268902 es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES


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