Algorithms for {K, s + 1}-potent matrix constructions

In this paper, we deal with {K, s + 1}-potent matrices. These matrices generalize all the following classes of matrices: k-potent matrices, periodic matrices, idempotent matrices, involutory matrices, centrosymmetric matrices, mirrorsymmetric matrices, circulant matrices, among others. Several appli...

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Detalles Bibliográficos
Autores: Lebtahi Ep-Kadi-Hahifi, Leila, Romero Martínez, José Oscar|||0000-0003-4081-9005, Thome, Néstor|||0000-0001-5328-6637
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/50960
Acceso en línea:https://riunet.upv.es/handle/10251/50960
Access Level:acceso abierto
Palabra clave:Potent matrices
Involutory matrices
Linear combinations
Eigenvalues
INGENIERIA TELEMATICA
MATEMATICA APLICADA
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spelling Algorithms for {K, s + 1}-potent matrix constructionsLebtahi Ep-Kadi-Hahifi, LeilaRomero Martínez, José Oscar|||0000-0003-4081-9005Thome, Néstor|||0000-0001-5328-6637Potent matricesInvolutory matricesLinear combinationsEigenvaluesINGENIERIA TELEMATICAMATEMATICA APLICADAIn this paper, we deal with {K, s + 1}-potent matrices. These matrices generalize all the following classes of matrices: k-potent matrices, periodic matrices, idempotent matrices, involutory matrices, centrosymmetric matrices, mirrorsymmetric matrices, circulant matrices, among others. Several applications of these classes of matrices can be found in the literature. We develop algorithms in order to compute {K, s + 1}-potent matrices and {K, s + 1}-potent linear combinations of {K, s + 1}-potent matrices. In addition, some examples are presented in order to show the numerical performance of the method. (C) 2012 Elsevier B.V. All rights reserved.This work has been partially supported by the Ministry of Education of Spain (Grant DGI MTM2010-18228). The authors would like to thank the referees for their valuable comments and suggestions, which allowed improving the writing of the paper considerably.ElsevierEscuela Técnica Superior de Ingeniería de TelecomunicaciónDepartamento de Matemática AplicadaDepartamento de ComunicacionesInstituto Universitario de Matemática MultidisciplinarInstituto de Investigación para la Gestión Integrada de Zonas CosterasMinisterio de Ciencia e InnovaciónRepositorio Institucional de la Universitat Politècnica de València Riunet20132013-09-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/50960reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2010-18228 PROPIEDADES MATRICIALES CON APLICACION A LA TEORIA DE CONTROLopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/509602026-06-13T07:49:27Z
dc.title.none.fl_str_mv Algorithms for {K, s + 1}-potent matrix constructions
title Algorithms for {K, s + 1}-potent matrix constructions
spellingShingle Algorithms for {K, s + 1}-potent matrix constructions
Lebtahi Ep-Kadi-Hahifi, Leila
Potent matrices
Involutory matrices
Linear combinations
Eigenvalues
INGENIERIA TELEMATICA
MATEMATICA APLICADA
title_short Algorithms for {K, s + 1}-potent matrix constructions
title_full Algorithms for {K, s + 1}-potent matrix constructions
title_fullStr Algorithms for {K, s + 1}-potent matrix constructions
title_full_unstemmed Algorithms for {K, s + 1}-potent matrix constructions
title_sort Algorithms for {K, s + 1}-potent matrix constructions
dc.creator.none.fl_str_mv Lebtahi Ep-Kadi-Hahifi, Leila
Romero Martínez, José Oscar|||0000-0003-4081-9005
Thome, Néstor|||0000-0001-5328-6637
author Lebtahi Ep-Kadi-Hahifi, Leila
author_facet Lebtahi Ep-Kadi-Hahifi, Leila
Romero Martínez, José Oscar|||0000-0003-4081-9005
Thome, Néstor|||0000-0001-5328-6637
author_role author
author2 Romero Martínez, José Oscar|||0000-0003-4081-9005
Thome, Néstor|||0000-0001-5328-6637
author2_role author
author
dc.contributor.none.fl_str_mv Escuela Técnica Superior de Ingeniería de Telecomunicación
Departamento de Matemática Aplicada
Departamento de Comunicaciones
Instituto Universitario de Matemática Multidisciplinar
Instituto de Investigación para la Gestión Integrada de Zonas Costeras
Ministerio de Ciencia e Innovación
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Potent matrices
Involutory matrices
Linear combinations
Eigenvalues
INGENIERIA TELEMATICA
MATEMATICA APLICADA
topic Potent matrices
Involutory matrices
Linear combinations
Eigenvalues
INGENIERIA TELEMATICA
MATEMATICA APLICADA
description In this paper, we deal with {K, s + 1}-potent matrices. These matrices generalize all the following classes of matrices: k-potent matrices, periodic matrices, idempotent matrices, involutory matrices, centrosymmetric matrices, mirrorsymmetric matrices, circulant matrices, among others. Several applications of these classes of matrices can be found in the literature. We develop algorithms in order to compute {K, s + 1}-potent matrices and {K, s + 1}-potent linear combinations of {K, s + 1}-potent matrices. In addition, some examples are presented in order to show the numerical performance of the method. (C) 2012 Elsevier B.V. All rights reserved.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-09-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/50960
url https://riunet.upv.es/handle/10251/50960
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2010-18228 PROPIEDADES MATRICIALES CON APLICACION A LA TEORIA DE CONTROL
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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