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Fast Taylor polynomial evaluation for the computation of the matrix cosine

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Fast Taylor polynomial evaluation for the computation of the matrix cosine

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Sastre, J.; Ibáñez González, JJ.; Alonso-Jordá, P.; Peinado Pinilla, J.; Defez Candel, E. (2019). Fast Taylor polynomial evaluation for the computation of the matrix cosine. Journal of Computational and Applied Mathematics. 354:641-650. https://doi.org/10.1016/j.cam.2018.12.041

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/145535

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Title: Fast Taylor polynomial evaluation for the computation of the matrix cosine
Author: Sastre, Jorge Ibáñez González, Jacinto Javier Alonso-Jordá, Pedro Peinado Pinilla, Jesús Defez Candel, Emilio
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Universitat Politècnica de València. Departamento de Sistemas Informáticos y Computación - Departament de Sistemes Informàtics i Computació
Universitat Politècnica de València. Departamento de Comunicaciones - Departament de Comunicacions
Issued date:
Abstract:
[EN] In this work we introduce a new method to compute the matrix cosine. It is based on recent new matrix polynomial evaluation methods for the Taylor approximation and a mixed forward and backward error analysis. The ...[+]
Subjects: Matrix , Matrix trigonometric functions , Matrix cosine , Taylor , Fast matrix polynomial evaluation , GPU computing
Copyrigths: Reserva de todos los derechos
Source:
Journal of Computational and Applied Mathematics. (issn: 0377-0427 )
DOI: 10.1016/j.cam.2018.12.041
Publisher:
Elsevier
Publisher version: https://doi.org/10.1016/j.cam.2018.12.041
Conference name: 17th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2017)
Conference place: Rota, Spain
Conference date: Julio 04-08,2017
Project ID:
FEDER/TIN2014-59294-P
FEDER/TIN2017-89314-P
MINISTERIO DE ECONOMIA Y EMPRESA/TIN2014-59294-P
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/TIN2017-89314-P/ES/LIBRERIAS DE ALTAS PRESTACIONES PARA EL CALCULO DE FUNCIONES DE MATRICES Y APLICACIONES/
Thanks:
This work has been partially supported by Spanish Ministerio de Economía y Competitividad and European Regional Development Fund (ERDF) grants TIN2014-59294-P, and TIN2017-89314-P.
Type: Artículo Comunicación en congreso

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