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An efficient and accurate algorithm for computing the matrix cosine based on New Hermite approximations

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An efficient and accurate algorithm for computing the matrix cosine based on New Hermite approximations

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dc.contributor.author Defez Candel, Emilio es_ES
dc.contributor.author Ibáñez González, Jacinto Javier es_ES
dc.contributor.author Peinado Pinilla, Jesús es_ES
dc.contributor.author Sastre, Jorge es_ES
dc.contributor.author Alonso-Jordá, Pedro es_ES
dc.date.accessioned 2020-06-06T03:32:39Z
dc.date.available 2020-06-06T03:32:39Z
dc.date.issued 2019-03-01 es_ES
dc.identifier.issn 0377-0427 es_ES
dc.identifier.uri http://hdl.handle.net/10251/145547
dc.description.abstract [EN] In this work we introduce new rational-polynomial Hermite matrix expansions which allow us to obtain a new accurate and efficient method for computing the matrix cosine. This method is compared with other state-of-the-art methods for computing the matrix cosine, including a method based on Pade approximants, showing a far superior efficiency, and higher accuracy. The algorithm implemented on the basis of this method can also be executed either in one or two NVIDIA GPUs, which demonstrates its great computational capacity. (C) 2018 Elsevier B.V. All rights reserved. es_ES
dc.description.sponsorship This work has been partially supported by Spanish Ministerio de Economia y Competitividad and European Regional Development Fund (ERDF) grants TIN2014-59294-P, and T1N2017-89314-P. es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation MINISTERIO DE ECONOMIA INDUSTRIA Y COMPETITIVIDAD /TIN2014-59294-P es_ES
dc.relation AEI/TIN2017-89314-P-AR 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 Scaling and squaring method es_ES
dc.subject Hermite series es_ES
dc.subject Forward error es_ES
dc.subject Parallel implementation es_ES
dc.subject CUDA es_ES
dc.subject.classification TEORIA DE LA SEÑAL Y COMUNICACIONES es_ES
dc.subject.classification CIENCIAS DE LA COMPUTACION E INTELIGENCIA ARTIFICIAL es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title An efficient and accurate algorithm for computing the matrix cosine based on New Hermite approximations es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.cam.2018.08.047 es_ES
dc.rights.accessRights Abierto 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.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Defez Candel, E.; Ibáñez González, JJ.; Peinado Pinilla, J.; Sastre, J.; Alonso-Jordá, P. (2019). An efficient and accurate algorithm for computing the matrix cosine based on New Hermite approximations. Journal of Computational and Applied Mathematics. 348:1-13. https://doi.org/10.1016/j.cam.2018.08.047 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.cam.2018.08.047 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 13 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 348 es_ES
dc.relation.pasarela S\368260 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES


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