Improvement on the bound of Hermite matrix polynomials

In this paper, we introduce an improved bound on the 2-norm of Hermite matrix polynomials. As a consequence, this estimate enables us to present and prove a matrix version of the Riemann-Lebesgue lemma for Fourier transforms. Finally, our theoretical results are used to develop a novel procedure for...

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Detalles Bibliográficos
Autores: Defez Candel, Emilio|||0000-0002-3303-6371, Tung, Michael Ming-Sha|||0000-0002-8760-0927, Sastre, Jorge|||0000-0002-8612-6717
Tipo de recurso: artículo
Fecha de publicación:2011
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:10251/49137
Acceso en línea:https://riunet.upv.es/handle/10251/49137
Access Level:acceso abierto
Palabra clave:2-Norm bound
Hermite matrix polynomials
Riemann-Lebesgue matrix lemma
Hermite matrix
Lebesgue
Matrix
Matrix exponentials
Numerical example
Priori bounds
Test matrix
Theoretical result
Fourier transforms
Matrix algebra
Polynomials
MATEMATICA APLICADA
TEORIA DE LA SEÑAL Y COMUNICACIONES
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spelling Improvement on the bound of Hermite matrix polynomialsDefez Candel, Emilio|||0000-0002-3303-6371Tung, Michael Ming-Sha|||0000-0002-8760-0927Sastre, Jorge|||0000-0002-8612-67172-Norm boundHermite matrix polynomialsRiemann-Lebesgue matrix lemmaHermite matrixLebesgueMatrixMatrix exponentialsNumerical examplePriori boundsTest matrixTheoretical resultFourier transformsMatrix algebraPolynomialsMATEMATICA APLICADATEORIA DE LA SEÑAL Y COMUNICACIONESIn this paper, we introduce an improved bound on the 2-norm of Hermite matrix polynomials. As a consequence, this estimate enables us to present and prove a matrix version of the Riemann-Lebesgue lemma for Fourier transforms. Finally, our theoretical results are used to develop a novel procedure for the computation of matrix exponentials with a priori bounds. A numerical example for a test matrix is provided. © 2010 Elsevier Inc. All rights reserved.This work has been partially supported by the Universidad Politecnica de Valencia under project PAID-06-07/3283 and the Generalitat Valenciana under project GVPRE/2008/340.ElsevierEscuela Técnica Superior de Ingeniería de TelecomunicaciónDepartamento de Matemática AplicadaDepartamento de ComunicacionesEscuela Técnica Superior de Ingeniería Aeroespacial y Diseño IndustrialInstituto Universitario de Telecomunicación y Aplicaciones MultimediaInstituto Universitario de Matemática MultidisciplinarEscuela Técnica Superior de Ingeniería de Caminos, Canales y PuertosGeneralitat ValencianaUniversitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20112011-04-15journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/49137reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengUniversitat Politècnica de València https://doi.org/10.13039/501100004233 PAID-06-07-3283Generalitat Valenciana https://doi.org/10.13039/501100003359 GVPRE%2F2008%2F340 Computacion de Altas Prestaciones de la Exponencial de Un Matriz Mediante Series de Polinomios Matriciales Ortogonalesopen 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:10251/491372026-06-13T07:49:27Z
dc.title.none.fl_str_mv Improvement on the bound of Hermite matrix polynomials
title Improvement on the bound of Hermite matrix polynomials
spellingShingle Improvement on the bound of Hermite matrix polynomials
Defez Candel, Emilio|||0000-0002-3303-6371
2-Norm bound
Hermite matrix polynomials
Riemann-Lebesgue matrix lemma
Hermite matrix
Lebesgue
Matrix
Matrix exponentials
Numerical example
Priori bounds
Test matrix
Theoretical result
Fourier transforms
Matrix algebra
Polynomials
MATEMATICA APLICADA
TEORIA DE LA SEÑAL Y COMUNICACIONES
title_short Improvement on the bound of Hermite matrix polynomials
title_full Improvement on the bound of Hermite matrix polynomials
title_fullStr Improvement on the bound of Hermite matrix polynomials
title_full_unstemmed Improvement on the bound of Hermite matrix polynomials
title_sort Improvement on the bound of Hermite matrix polynomials
dc.creator.none.fl_str_mv Defez Candel, Emilio|||0000-0002-3303-6371
Tung, Michael Ming-Sha|||0000-0002-8760-0927
Sastre, Jorge|||0000-0002-8612-6717
author Defez Candel, Emilio|||0000-0002-3303-6371
author_facet Defez Candel, Emilio|||0000-0002-3303-6371
Tung, Michael Ming-Sha|||0000-0002-8760-0927
Sastre, Jorge|||0000-0002-8612-6717
author_role author
author2 Tung, Michael Ming-Sha|||0000-0002-8760-0927
Sastre, Jorge|||0000-0002-8612-6717
author2_role author
author
dc.contributor.none.fl_str_mv Escuela Técnica Superior de Ingeniería de Telecomunicación
Departamento de Matemática Aplicada
Departamento de Comunicaciones
Escuela Técnica Superior de Ingeniería Aeroespacial y Diseño Industrial
Instituto Universitario de Telecomunicación y Aplicaciones Multimedia
Instituto Universitario de Matemática Multidisciplinar
Escuela Técnica Superior de Ingeniería de Caminos, Canales y Puertos
Generalitat Valenciana
Universitat Politècnica de València
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv 2-Norm bound
Hermite matrix polynomials
Riemann-Lebesgue matrix lemma
Hermite matrix
Lebesgue
Matrix
Matrix exponentials
Numerical example
Priori bounds
Test matrix
Theoretical result
Fourier transforms
Matrix algebra
Polynomials
MATEMATICA APLICADA
TEORIA DE LA SEÑAL Y COMUNICACIONES
topic 2-Norm bound
Hermite matrix polynomials
Riemann-Lebesgue matrix lemma
Hermite matrix
Lebesgue
Matrix
Matrix exponentials
Numerical example
Priori bounds
Test matrix
Theoretical result
Fourier transforms
Matrix algebra
Polynomials
MATEMATICA APLICADA
TEORIA DE LA SEÑAL Y COMUNICACIONES
description In this paper, we introduce an improved bound on the 2-norm of Hermite matrix polynomials. As a consequence, this estimate enables us to present and prove a matrix version of the Riemann-Lebesgue lemma for Fourier transforms. Finally, our theoretical results are used to develop a novel procedure for the computation of matrix exponentials with a priori bounds. A numerical example for a test matrix is provided. © 2010 Elsevier Inc. All rights reserved.
publishDate 2011
dc.date.none.fl_str_mv 2011
2011-04-15
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/10251/49137
url https://riunet.upv.es/handle/10251/49137
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Universitat Politècnica de València https://doi.org/10.13039/501100004233 PAID-06-07-3283
Generalitat Valenciana https://doi.org/10.13039/501100003359 GVPRE%2F2008%2F340 Computacion de Altas Prestaciones de la Exponencial de Un Matriz Mediante Series de Polinomios Matriciales Ortogonales
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
_version_ 1869407205370888192
score 15,300719

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