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Efficient and accurate algorithms for computing matrix trigonometric functions

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Efficient and accurate algorithms for computing matrix trigonometric functions

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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


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