Table of Contents
Fetching ...

Rational approximation

Lloyd N. Trefethen

Abstract

Potential theory for rational approximation is reviewed by means of examples computed with the AAA algorithm.

Rational approximation

Abstract

Potential theory for rational approximation is reviewed by means of examples computed with the AAA algorithm.
Paper Structure (3 equations, 6 figures)

This paper contains 3 equations, 6 figures.

Figures (6)

  • Figure 1: Entire function, $f(z) = \exp(z)$
  • Figure 2: Meromorphic function, $f(z) = \tan(z^2)$
  • Figure 3: Function with essential singularities, $f(z) = \exp(\tan(z^2))$. Inset: zoom near $z = \sqrt{\pi/2}$
  • Figure 4: Function with branch points, $f(z) = \sqrt{(1.5-z)(1.5 i-z)}$
  • Figure 5: Function with singularity on the approximation domain, $f(z) = |z|$ on $[-1,1]$
  • ...and 1 more figures