Algorithms for solving the inverse problem associated with KAK = A(s+1)

[EN] In previous papers, the authors introduced and characterized a class of matrices called {K, s+1}-potent. Also, they established a method to construct these matrices. The purpose of this paper is to solve the associated inverse problem. Several algorithms are developed in order to find all invol...

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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:2017
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:10251/92205
Acceso en línea:https://riunet.upv.es/handle/10251/92205
Access Level:acceso abierto
Palabra clave:Involutory matrix
{K, s + 1}-potent matrix
Spectrum
Algorithm
Inverse problem
MATEMATICA APLICADA
INGENIERIA TELEMATICA
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spelling Algorithms for solving the inverse problem associated with KAK = A(s+1)Lebtahi Ep-Kadi-Hahifi, LeilaRomero Martínez, José Oscar|||0000-0003-4081-9005Thome, Néstor|||0000-0001-5328-6637Involutory matrix{K, s + 1}-potent matrixSpectrumAlgorithmInverse problemMATEMATICA APLICADAINGENIERIA TELEMATICA[EN] In previous papers, the authors introduced and characterized a class of matrices called {K, s+1}-potent. Also, they established a method to construct these matrices. The purpose of this paper is to solve the associated inverse problem. Several algorithms are developed in order to find all involutory matrices K satisfying KAs+1K = A for a given matrix A ¿ C n×n and a given natural number s. The cases s = 0 and s ¿ 1 are separately studied since they produce different situations. In addition, some examples are presented showing the numerical performance of the methods.This work was partially supported by Ministerio de Economía y Competitividad (Grant DGIMTM2013-43678-P and Redes de Excelencia MTM2015-68805-REDT) and Universidad de Buenos Aires, Secretaría de Ciencia y Técnica, Argentina (Grant EXP-UBA: 9.011/2013, Res.: (CS) No. 7000/13).ElsevierEscuela Técnica Superior de Ingeniería de TelecomunicaciónDepartamento de Matemática AplicadaDepartamento de ComunicacionesInstituto Universitario de Matemática MultidisciplinarInstituto de Investigación para la Gestión Integrada de Zonas CosterasUniversidad de Buenos AiresMinisterio de Economía y CompetitividadRepositorio Institucional de la Universitat Politècnica de València Riunet20172017-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/92205reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2013-43678-P ANALISIS DE MODELOS MATEMATICOS CON COEFICIENTES MATRICIALES: FUNDAMENTOS TEORICOS Y APLICACIONESMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2015-68805-REDT RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONESUniversidad de Buenos Aires https://doi.org/10.13039/501100005363 7000%2F13open accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/922052026-06-13T07:49:27Z
dc.title.none.fl_str_mv Algorithms for solving the inverse problem associated with KAK = A(s+1)
title Algorithms for solving the inverse problem associated with KAK = A(s+1)
spellingShingle Algorithms for solving the inverse problem associated with KAK = A(s+1)
Lebtahi Ep-Kadi-Hahifi, Leila
Involutory matrix
{K, s + 1}-potent matrix
Spectrum
Algorithm
Inverse problem
MATEMATICA APLICADA
INGENIERIA TELEMATICA
title_short Algorithms for solving the inverse problem associated with KAK = A(s+1)
title_full Algorithms for solving the inverse problem associated with KAK = A(s+1)
title_fullStr Algorithms for solving the inverse problem associated with KAK = A(s+1)
title_full_unstemmed Algorithms for solving the inverse problem associated with KAK = A(s+1)
title_sort Algorithms for solving the inverse problem associated with KAK = A(s+1)
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
Universidad de Buenos Aires
Ministerio de Economía y Competitividad
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Involutory matrix
{K, s + 1}-potent matrix
Spectrum
Algorithm
Inverse problem
MATEMATICA APLICADA
INGENIERIA TELEMATICA
topic Involutory matrix
{K, s + 1}-potent matrix
Spectrum
Algorithm
Inverse problem
MATEMATICA APLICADA
INGENIERIA TELEMATICA
description [EN] In previous papers, the authors introduced and characterized a class of matrices called {K, s+1}-potent. Also, they established a method to construct these matrices. The purpose of this paper is to solve the associated inverse problem. Several algorithms are developed in order to find all involutory matrices K satisfying KAs+1K = A for a given matrix A ¿ C n×n and a given natural number s. The cases s = 0 and s ¿ 1 are separately studied since they produce different situations. In addition, some examples are presented showing the numerical performance of the methods.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01
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/10251/92205
url https://riunet.upv.es/handle/10251/92205
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2013-43678-P ANALISIS DE MODELOS MATEMATICOS CON COEFICIENTES MATRICIALES: FUNDAMENTOS TEORICOS Y APLICACIONES
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2015-68805-REDT RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONES
Universidad de Buenos Aires https://doi.org/10.13039/501100005363 7000%2F13
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
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
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
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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