2 papers
math.NA2026
Stable evaluation of derivatives for barycentric and continued fraction representations of rational functions
Tobin A. Driscoll, Yuxing Zhou
Fast algorithms for approximation by rational functions exist for both barycentric and Thiele continued fraction (TCF) representations. We present the first numerically stable meth…
math.NA2025
Greedy Thiele continued-fraction approximation on continuum domains in the complex plane
Tobin A. Driscoll, Yuxing Zhou
We describe an adaptive greedy algorithm for Thiele continued-fraction approximation of a function defined on a continuum domain in the complex plane. The algorithm iteratively sel…