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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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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

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/145547

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Title: An efficient and accurate algorithm for computing the matrix cosine based on New Hermite approximations
Author:
UPV Unit: Universitat Politècnica de València. Departamento de Comunicaciones - Departament de Comunicacions
Universitat Politècnica de València. Departamento de Sistemas Informáticos y Computación - Departament de Sistemes Informàtics i Computació
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Embargo end date: 2020-08-31
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 ...[+]
Subjects: Matrix cosine , Scaling and squaring method , Hermite series , Forward error , Parallel implementation , CUDA
Copyrigths: Embargado
Source:
Journal of Computational and Applied Mathematics. (issn: 0377-0427 )
DOI: 10.1016/j.cam.2018.08.047
Publisher:
Elsevier
Publisher version: https://doi.org/10.1016/j.cam.2018.08.047
Thanks:
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.
Type: Artículo

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