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Numerical Continued Fraction Interpolation

Numerical Analysis 2023-02-23 v7 Numerical Analysis

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.

Keywords

Cite

@article{arxiv.2109.10529,
  title  = {Numerical Continued Fraction Interpolation},
  author = {Oliver Salazar Celis},
  journal= {arXiv preprint arXiv:2109.10529},
  year   = {2023}
}

Comments

added poles and zero calculation

R2 v1 2026-06-24T06:12:20.915Z