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dc.contributor.author | Defez Candel, Emilio | es_ES |
dc.contributor.author | Sastre, Jorge | es_ES |
dc.contributor.author | Ibáñez González, Jacinto Javier | es_ES |
dc.contributor.author | Ruiz Martínez, Pedro Antonio | es_ES |
dc.date.accessioned | 2014-11-17T09:14:49Z | |
dc.date.available | 2014-11-17T09:14:49Z | |
dc.date.issued | 2013-04 | |
dc.identifier.issn | 0895-7177 | |
dc.identifier.uri | http://hdl.handle.net/10251/44253 | |
dc.description | NOTICE: this is the author’s version of a work that was accepted for publication in Mathematical and Computer Modelling. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Mathematical and Computer Modelling Volume 57, Issues 7–8, April 2013, Pages 1738–1743 DOI: 10.1016/j.mcm.2011.11.022 | es_ES |
dc.description.abstract | Trigonometric matrix functions play a fundamental role in the solution of second order differential equations. Hermite series truncation together with Paterson¿Stockmeyer method and the double angle formula technique allow efficient computation of the matrix cosine. A careful error bound analysis of the Hermite approximation is given and a theoretical estimate for the optimal value of its parameters is obtained. Based on the ideas above, an efficient and highly-accurate Hermite algorithm is presented. A MATLAB implementation of this algorithm has also been developed and made available online. This implementation has been compared to other efficient state-of-the-art implementations on a large class of matrices for different dimensions, obtaining higher accuracy and lower computational costs in the majority of cases. | es_ES |
dc.description.sponsorship | This work has been partially supported by the Spanish Ministerio de Educacion grant MTM2009-08587 and Universidad Poliltecnica de Valencia PAID-06-11-2020. | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Mathematical and Computer Modelling | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Hermite matrix approximation | es_ES |
dc.subject | Matrix cosine | es_ES |
dc.subject | MATLAB | es_ES |
dc.subject | Error bound | es_ES |
dc.subject.classification | CIENCIAS DE LA COMPUTACION E INTELIGENCIA ARTIFICIAL | es_ES |
dc.subject.classification | LENGUAJES Y SISTEMAS INFORMATICOS | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.subject.classification | TEORIA DE LA SEÑAL Y COMUNICACIONES | es_ES |
dc.title | Computing matrix functions arising in engineering models with orthogonal matrix polynomials | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.mcm.2011.11.022 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2009-08587/ES/Ecuaciones Diferenciales Aleatorias Y Aplicaciones/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/UPV//PAID-06-11-2020/ | es_ES |
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.contributor.affiliation | Universitat Politècnica de València. Departamento de Sistemas Informáticos y Computación - Departament de Sistemes Informàtics i Computació | es_ES |
dc.description.bibliographicCitation | Defez Candel, E.; Sastre, J.; Ibáñez González, JJ.; Ruiz Martínez, PA. (2013). Computing matrix functions arising in engineering models with orthogonal matrix polynomials. Mathematical and Computer Modelling. 57(7):1738-1743. https://doi.org/10.1016/j.mcm.2011.11.022 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.mcm.2011.11.022 | es_ES |
dc.description.upvformatpinicio | 1738 | es_ES |
dc.description.upvformatpfin | 1743 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 57 | es_ES |
dc.description.issue | 7 | es_ES |
dc.relation.senia | 255897 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación | es_ES |
dc.contributor.funder | Universitat Politècnica de València | es_ES |