Adaptive Thiele interpolation-Reference-Cited by-同舟云学术

Adaptive Thiele interpolation

Published:2022-09 Issue:3 Volume:56 Page:125-132
ISSN:1932-2240
Container-title:ACM Communications in Computer Algebra
language:en
Short-container-title:ACM Commun. Comput. Algebra

Author:

Celis Oliver Salazar¹

Affiliation:

1. ING Belgium, Brussels, Belgium

Abstract

The current implementation of Thiele rational interpolation in Maple (the Thieleinterpolation routine) breaks down when the points are not well-ordered. In this article, it is shown how this breakdown can be avoided by ordering the interpolation points in an adaptive way.

Publisher

Association for Computing Machinery (ACM)

Subject

Microbiology (medical),Immunology,Immunology and Allergy

Link

https://dl.acm.org/doi/pdf/10.1145/3594252.3594254

Reference6 articles.

1. Instability and modification of Thiele interpolating continued fractions

2. Practical, Reliable, Rational Interpolation

3. Y. Nakatsukasa , Olivier Sète , and L. Trefethen . The AAA algorithm for rational approximation. SIAM Journal on Scientific Computing , 40 : 1494 -- 1522 , 2018 . Y. Nakatsukasa, Olivier Sète, and L. Trefethen. The AAA algorithm for rational approximation. SIAM Journal on Scientific Computing, 40:1494--1522, 2018.

4. Rational approximation to $| x| $.

5. Oliver Salazar Celis . Numerical continued fraction interpolation. https://arxiv.org/abs/2109.10529 , 2021 . Oliver Salazar Celis. Numerical continued fraction interpolation. https://arxiv.org/abs/2109.10529, 2021.

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