Seydaoglu, M.; Bader, P.; Blanes Zamora, S.; Casas, F. (2021). Computing the matrix sine and cosine simultaneously with a reduced number of products. Applied Numerical Mathematics. 163:96-107. https://doi.org/10.1016/j.apnum.2021.01.009
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/181548
Title:
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Computing the matrix sine and cosine simultaneously with a reduced number of products
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Author:
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Seydaoglu, Muaz
Bader, Philipp
Blanes Zamora, Sergio
Casas, Fernando
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Issued date:
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Abstract:
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[EN] A new procedure is presented for computing the matrix cosine and sine simultaneously by means of Taylor polynomial approximations. These are factorized so as to reduce the number of matrix products involved. Two ...[+]
[EN] A new procedure is presented for computing the matrix cosine and sine simultaneously by means of Taylor polynomial approximations. These are factorized so as to reduce the number of matrix products involved. Two versions are developed to be used in single and double precision arithmetic. The resulting algorithms are more efficient than schemes based on Pade approximations for a wide range of norm matrices.
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Subjects:
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Matrix sine
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Matrix cosine
,
Taylor series
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Pade approximation
,
Matrix polynomials
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Copyrigths:
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Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
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Source:
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Applied Numerical Mathematics. (issn:
0168-9274
)
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DOI:
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10.1016/j.apnum.2021.01.009
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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.apnum.2021.01.009
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Project ID:
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info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-104927GB-C21/ES/METODOS DE INTEGRACION GEOMETRICA PARA PROBLEMAS CUANTICOS, MECANICA CELESTE Y SIMULACIONES MONTECARLO I/
info:eu-repo/grantAgreement/TUBITAK//1059B191802292/
info:eu-repo/grantAgreement/MINECO//MTM2016-77660-P//NUEVOS RETOS EN INTEGRACION NUMERICA: FUNDAMENTOS ALGEBRAICOS, METODOS DE ESCISION, METODOS DE MONTECARLO Y OTRAS APLICACIONES/
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Thanks:
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The work of MS has been funded by the Scientific and Technological Research Council of Turkey (TUBITAK) with Grand Number 1059B191802292. PB, SB and FC acknowledge financial support from Ministerio de Economia, Industria ...[+]
The work of MS has been funded by the Scientific and Technological Research Council of Turkey (TUBITAK) with Grand Number 1059B191802292. PB, SB and FC acknowledge financial support from Ministerio de Economia, Industria y Competitividad(Spain) through projects MTM2016-77660-P and PID2019-104927GB-C21 (AEI/FEDER, UE).
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Type:
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Artículo
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