O. Celis. (2021)cite arxiv:2109.10529Comment: added poles and zero calculation.
Abstract
We show that highly accurate approximations can often be obtained from
constructing Thiele interpolating continued fractions by a Greedy selection of
the interpolation points together with an early termination condition. The
obtained results are comparable with the outcome from state-of-the-art rational
interpolation techniques based on the barycentric form.
Description
[2109.10529] Numerical Continued Fraction Interpolation
%0 Generic
%1 celis2021numerical
%A Celis, Oliver Salazar
%D 2021
%K continued-fractions mathematics number_theory numerical-methods
%T Numerical Continued Fraction Interpolation
%U http://arxiv.org/abs/2109.10529
%X We show that highly accurate approximations can often be obtained from
constructing Thiele interpolating continued fractions by a Greedy selection of
the interpolation points together with an early termination condition. The
obtained results are comparable with the outcome from state-of-the-art rational
interpolation techniques based on the barycentric form.
@misc{celis2021numerical,
abstract = {We show that highly accurate approximations can often be obtained from
constructing Thiele interpolating continued fractions by a Greedy selection of
the interpolation points together with an early termination condition. The
obtained results are comparable with the outcome from state-of-the-art rational
interpolation techniques based on the barycentric form.},
added-at = {2023-09-29T15:20:03.000+0200},
author = {Celis, Oliver Salazar},
biburl = {https://www.bibsonomy.org/bibtex/294d4f8322f4a8500f395824271be76e7/tabularii},
description = {[2109.10529] Numerical Continued Fraction Interpolation},
interhash = {dd59607ee98c53957a3c88e194608fa4},
intrahash = {94d4f8322f4a8500f395824271be76e7},
keywords = {continued-fractions mathematics number_theory numerical-methods},
note = {cite arxiv:2109.10529Comment: added poles and zero calculation},
timestamp = {2023-09-29T15:20:03.000+0200},
title = {Numerical Continued Fraction Interpolation},
url = {http://arxiv.org/abs/2109.10529},
year = 2021
}