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.
Digital Object Identifier (DOI)
Zhao, Qianjin and Wang, Bingbing
"Lebesgue Constant Minimizing Bivariate Barycentric Rational Interpolation,"
Applied Mathematics & Information Sciences: Vol. 08
, Article 23.
Available at: https://dc.naturalspublishing.com/amis/vol08/iss1/23