Computing the matrix sine and cosine simultaneously with a reduced number of products
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Otros documentos de la autoría: Seydaoğlu, Muaz; Bader, Philipp; Blanes, Sergio; Casas, Fernando
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Título
Computing the matrix sine and cosine simultaneously with a reduced number of productsFecha de publicación
2021-05Editor
ElsevierISSN
0168-9274Cita bibliográfica
Seydaoğlu, M., Bader, P., Blanes, S., & Casas, F. (2021). Computing the matrix sine and cosine simultaneously with a reduced number of products. Applied Numerical Mathematics, 163, 96-107.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.sciencedirect.com/science/article/pii/S0168927421000118Versión
info:eu-repo/semantics/submittedVersionPalabras clave / Materias
Resumen
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 ... [+]
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 Padé approximations for a wide range of norm matrices. [-]
Publicado en
Applied Numerical Mathematics, 2021, vol. 163Entidad financiadora
Scientific and Technological Research Council of Turkey (TUBITAK) | Ministerio de Economía, Industria y Competitividad
Código del proyecto o subvención
1059B191802292 | MTM2016-77660-P | PID2019-104927GB-C21
Derechos de acceso
Copyright © Elsevier B.V.
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info:eu-repo/semantics/openAccess
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info:eu-repo/semantics/openAccess
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