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.
翻译:我们表明,通过贪婪选择插值点并结合早期终止条件构造Thiele插值连分式,通常可以获得高精度的近似结果。所得结果与基于重心形式的最先进有理插值技术的结果相当。