## Applications of orthogonal rational functions

 Solution to be approximated Chebyshev ORF with poles near the origin Its zeros are interpolation points. Note the equioscillation RCHEB = collocation error for zeros of Chebyshev ORF

Abstract:
We give some applications of orthogonal rational functions. These include:
• The linear prediction problem (of stochastic processes)
• System identification (in the spectral domain)
• Spectral methods for ODE/PDE (collocation or pseudospectral methods)
• Fast algorithms for structured matrices (moment matrix has structure)
• Krylov subspace iteration (Rational Krylov, Padé via Lanczos, vibrating systems)

Status:
Unpublished

BiBTeX entry:

   @unpublished{AbsBul07,
author = "A. Bultheel",
title = "Applications of orthogonal rational functions",
year = "2007",
note = "Lecture at the Univ. La Lagune, Tenerife",
month = "March, 20",