Bivariate Barycentric Rational Hermite Interpolaiton Based on the Lebesgue Constant Minimizing

摘要

Barycentric interpolation is considered to be the most stable formula for a rational Hermite interpolation. The core problem is to choose the optimal weights. In this paper, the optimal weights of the bivariate barycentric rational Hermite interpolation are obtained based on the Lebesgue constant minimizing. Then the solution of the optimization model can be obtained by the software LINGO. Further, the numerical examples are given to show the effectiveness of the new method.