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
Title:
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Fast Taylor polynomial evaluation for the computation of the matrix cosine
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Author:
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Sastre, Jorge
Ibáñez González, Jacinto Javier
Alonso-Jordá, Pedro
Peinado Pinilla, Jesús
Defez Candel, Emilio
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UPV Unit:
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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
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Issued date:
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Abstract:
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[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 ...[+]
[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 matrix polynomial evaluation methods allow to evaluate the Taylor polynomial approximation of the matrix cosine function more efficiently than using Paterson-Stockmeyer method. A sequential Matlab implementation of the new algorithm is provided, giving better efficiency and accuracy than state-of-the-art algorithms. Moreover, we provide an implementation in Matlab that can use NVIDIA CPUs easily and efficiently. (C) 2018 Elsevier B.V. All rights reserved.
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Subjects:
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Matrix
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Matrix trigonometric functions
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Matrix cosine
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Taylor
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Fast matrix polynomial evaluation
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GPU computing
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Journal of Computational and Applied Mathematics. (issn:
0377-0427
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DOI:
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10.1016/j.cam.2018.12.041
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Publisher:
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Elsevier
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Publisher version:
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https://doi.org/10.1016/j.cam.2018.12.041
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Conference name:
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17th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2017)
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Conference place:
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Rota, Spain
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Conference date:
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Julio 04-08,2017
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Project ID:
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FEDER/TIN2014-59294-P
FEDER/TIN2017-89314-P
MINISTERIO DE ECONOMIA Y EMPRESA/TIN2014-59294-P
AEI/TIN2017-89314-P-AR
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Thanks:
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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.
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Type:
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Artículo
Comunicación en congreso
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