Mañana, JUEVES, 24 DE ABRIL, el sistema se apagará debido a tareas habituales de mantenimiento a partir de las 9 de la mañana. Lamentamos las molestias.
The Laurent–Horner method for validated evaluation of Chebyshev expansions
Entity
UAM. Departamento de MatemáticasPublisher
ElsevierDate
2019-11-07Citation
10.1016/j.aml.2019.106113
Applied Mathematics Letters 102 (2020): 106113
ISSN
0893-9659 (print)DOI
10.1016/j.aml.2019.106113Funded by
Jared L. Aurentz has received financial support through the Postdoctoral Junior Leader Fellowship Programme from “la Caixa” Banking Foundation. The second author was supported by the Iranian National Science Foundation (INSF) under grant No. 98012590Editor's Version
https://doi.org/10.1016/j.aml.2019.106113Subjects
Chebyshev expansions; Interval arithmetic; Joukowski map; MatemáticasRights
© 2019 Elsevier Ltd.Esta obra está bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.
Abstract
We develop a simple two-step algorithm for enclosing Chebyshev expansions whose cost is linear in terms of the polynomial degree. The algorithm first transforms the expansion from Chebyshev to the Laurent basis and then applies the interval Horner method. It outperforms the existing eigenvalue-based methods if the degree is high or the evaluation point is close to the boundaries of the domain
Files in this item
Google Scholar:Aurentz, Jared L.
-
Hashemi, Behnam
This item appears in the following Collection(s)
Related items
Showing items related by title, author, creator and subject.