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math.NA2025
RationalFunctionApproximation.jl: Rational Approximation On Discrete and Continuous Domains
Tobin A. Driscoll
Unlike polynomials, rational functions can represent functions having poles or branch cuts with root-exponential convergence and no Runge phenomenon. Recent developments of the AAA…
math.NA2025★ 1 cited
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 (TCF) approximation of a function defined on a continuum domain in the complex plane. The algorithm iterative…