Defez Candel, E.; Ibáñez González, JJ.; Sastre, J.; Peinado Pinilla, J.; Alonso-Jordá, P. (2018). A new efficient and accurate spline algorithm for the matrix exponential computation. Journal of Computational and Applied Mathematics. 337(1):354-365. https://doi.org/10.1016/j.cam.2017.11.029
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/101678
Title:
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A new efficient and accurate spline algorithm for the matrix exponential computation
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Author:
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Defez Candel, Emilio
Ibáñez González, Jacinto Javier
Sastre, Jorge
Peinado Pinilla, Jesús
Alonso-Jordá, Pedro
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UPV Unit:
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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
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Issued date:
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Abstract:
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[EN] In this work an accurate and efficient method based on matrix splines for computing
matrix exponential is given. An algorithm and a MATLAB implementation have been
developed and compared with the state-of-the-art ...[+]
[EN] In this work an accurate and efficient method based on matrix splines for computing
matrix exponential is given. An algorithm and a MATLAB implementation have been
developed and compared with the state-of-the-art algorithms for computing the matrix
exponential. We also developed a parallel implementation for large scale problems. This
implementation allowed us to get a much better performance when working with this kind
of problems.
[-]
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Subjects:
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Matrix exponential
,
Scaling and squaring method
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Taylor series
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Matrix splines
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GPGPU
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Parallel 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.2017.11.029
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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.2017.11.029
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Project ID:
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info:eu-repo/grantAgreement/MINECO//TIN2014-59294-P/ES/FUNCIONES DE MATRICES: CALCULO Y APLICACIONES/
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Thanks:
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This work has been supported by Spanish Ministerio de Economia y Competitividad and the European Regional Development Fund (ERDF) grant TIN2014-59294-P.
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Type:
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Artículo
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