The Binary Barycentric Stieltjes-Thiele Type Rational Interpolation On the Basis of Upper Triangular Meshs

摘要

Based on Stieltjes and Thiele continued fractions, combined with the formula of deficit quotient and generalized barycentric rational interpolation, a new Stieltjes-Thiele mixed rational interpolation with binary barycentric is constructed on the basis of upper triangular mesh, which has the property of interpolation, and a new formula of deficit quotient and error theorem are given. The validity of the new method is verified by numerical experiments.