The computation of orthogonal rational functions on an interval

  • Authors:

  • J. Van Deun;A. Bultheel

  • Affiliations:

  • Department of Mathematics, Katholieke Univ. Leuven, Celestijnenlaan 200A, 3001 Heverlee, Belgium and Department of Computer Science, Katholieke Univ. Leuven, Celestijnenlaan 200A, 3001 Heverlee, B ...;Department of Computer Science, Katholieke Univ. Leuven, Celestijnenlaan 200A, 3001 Heverlee, Belgium

  • Venue:
  • Journal of Computational and Applied Mathematics - Special issue: Proceedings of the conference on orthogonal functions and related topics held in honor of Olav Njåstad
  • Year:
  • 2005

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Abstract

A method is given to compute the recurrence coefficients for high degree orthogonal rational functions on an interval of the real line and some asymptotic results are used to derive computable error bounds. We also prove a density result for these functions. Several examples are given as illustrations.