Lebesgue Constant Minimizing Bivariate Barycentric Rational Interpolation

Authors

Qianjin Zhao, School of Science, Anhui University of Science and Technology, Huainan 232001, P.R.ChinaFollow
Bingbing Wang

Author Country (or Countries)

P.R.China

Abstract

The barycentric form is the most stable formula for a rational interpolant on a finite interval. The choice of the barycentric weights can ensure the absence of poles on the real line, so how to choose the optimal weights becomes a key question for bivariate barycentric rational interpolation. A new optimization algorithm is proposed for the best interpolation weights based on the Lebesgue constant minimizing. Several numerical examples are given to show the effectiveness of the new method.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/080123

Recommended Citation

Zhao, Qianjin and Wang, Bingbing (2014) "Lebesgue Constant Minimizing Bivariate Barycentric Rational Interpolation," Applied Mathematics & Information Sciences: Vol. 08: Iss. 1, Article 23.
DOI: http://dx.doi.org/10.18576/amis/080123
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss1/23