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dc.contributor.author | Alonso-Jordá, Pedro | es_ES |
dc.contributor.author | Ibáñez González, Jacinto Javier | es_ES |
dc.contributor.author | Sastre Martinez, Jorge | es_ES |
dc.contributor.author | Peinado Pinilla, Jesús | es_ES |
dc.contributor.author | Defez Candel, Emilio | es_ES |
dc.date.accessioned | 2017-06-14T08:15:13Z | |
dc.date.available | 2017-06-14T08:15:13Z | |
dc.date.issued | 2017-01 | |
dc.identifier.issn | 0377-0427 | |
dc.identifier.uri | http://hdl.handle.net/10251/82821 | |
dc.description.abstract | [EN] Trigonometric matrix functions play a fundamental role in second order differential equations. This work presents an algorithm based on Taylor series for computing the matrix cosine. It uses a backward error analysis with improved bounds. Numerical experiments show that MATLAB implementations of this algorithm has higher accuracy than other MATLAB implementations of the state of the art in the majority of tests. Furthermore, we have implemented the designed algorithm in language C for general purpose processors, and in CUDA for one and two NVIDIA GPUs. We obtained a very good performance from these implementations thanks to the high computational power of these hardware accelerators and our effort driven to avoid as much communications as possible. All the implemented programs are accessible through the MATLAB environment. (C) 2016 Elsevier B.V. All rights reserved. | es_ES |
dc.description.sponsorship | This work has been supported by Spanish Ministerio de Economía y Competitividad and European Regional Development Fund (ERDF) grant TIN2014-59294-P | |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Journal of Computational and Applied Mathematics | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Matrix cosine | es_ES |
dc.subject | Matrix sine | es_ES |
dc.subject | Scaling and squaring method | es_ES |
dc.subject | Taylor series | es_ES |
dc.subject | Backward error | es_ES |
dc.subject | Parallel implementation | es_ES |
dc.subject.classification | CIENCIAS DE LA COMPUTACION E INTELIGENCIA ARTIFICIAL | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.subject.classification | LENGUAJES Y SISTEMAS INFORMATICOS | es_ES |
dc.subject.classification | TEORIA DE LA SEÑAL Y COMUNICACIONES | es_ES |
dc.title | Efficient and accurate algorithms for computing matrix trigonometric functions | es_ES |
dc.type | Artículo | es_ES |
dc.type | Comunicación en congreso | |
dc.identifier.doi | 10.1016/j.cam.2016.05.015 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//TIN2014-59294-P/ES/FUNCIONES DE MATRICES: CALCULO Y APLICACIONES/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Caminos, Canales y Puertos - Escola Tècnica Superior d'Enginyers de Camins, Canals i Ports | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Escola Tècnica Superior d'Enginyeria Informàtica | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Telecomunicación - Escola Tècnica Superior d'Enginyers de Telecomunicació | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Informática de Sistemas y Computadores - Departament d'Informàtica de Sistemes i Computadors | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Instituto Universitario de Matemática Multidisciplinar - Institut Universitari de Matemàtica Multidisciplinària | es_ES |
dc.description.bibliographicCitation | Alonso-Jordá, P.; Ibáñez González, JJ.; Sastre Martinez, J.; Peinado Pinilla, J.; Defez Candel, E. (2017). Efficient and accurate algorithms for computing matrix trigonometric functions. Journal of Computational and Applied Mathematics. 309(1):325-332. https://doi.org/10.1016/j.cam.2016.05.015 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.conferencename | International Conference on Mathematical Modeling in Engineering and Human Behavior | |
dc.relation.conferencedate | September 09-11, 2015 | |
dc.relation.conferenceplace | Valencia, Spain | |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.cam.2016.05.015 | es_ES |
dc.description.upvformatpinicio | 325 | es_ES |
dc.description.upvformatpfin | 332 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 309 | es_ES |
dc.description.issue | 1 | es_ES |
dc.relation.senia | 327991 | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad |