%0 Generic %1 celis2021numerical %A Celis, Oliver Salazar %D 2021 %K continued-fractions mathematics number_theory numerical-methods %T Numerical Continued Fraction Interpolation %U http://arxiv.org/abs/2109.10529 %X 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.

@misc{celis2021numerical, abstract = {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.}, added-at = {2023-09-29T15:20:03.000+0200}, author = {Celis, Oliver Salazar}, biburl = {https://www.bibsonomy.org/bibtex/294d4f8322f4a8500f395824271be76e7/tabularii}, description = {[2109.10529] Numerical Continued Fraction Interpolation}, interhash = {dd59607ee98c53957a3c88e194608fa4}, intrahash = {94d4f8322f4a8500f395824271be76e7}, keywords = {continued-fractions mathematics number_theory numerical-methods}, note = {cite arxiv:2109.10529Comment: added poles and zero calculation}, timestamp = {2023-09-29T15:20:03.000+0200}, title = {Numerical Continued Fraction Interpolation}, url = {http://arxiv.org/abs/2109.10529}, year = 2021 }