Computing orthogonal rational functions with poles near the boundary

Authors:
J. Van Deun;A. Bultheel;P. González Vera
Affiliations:
Department of Computer Science, K.U.Leuven, Belgium;Department of Computer Science, K.U.Leuven, Belgium;Department of Mathematics, Universidad de La Laguna, Spain
Venue:
Computers & Mathematics with Applications
Year:
2007

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Abstract

Computing orthogonal rational functions is a far from trivial problem, especially for poles close to the boundary of the support of the orthogonality measure. In this paper we analyze some of the difficulties involved and present two different approaches for solving this problem.