The computation of orthogonal rational functions on an interval

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 illustratio...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2005-07, Vol.179 (1), p.355-373
Main Authors: Van Deun, J., Bultheel, A.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fourier analysis
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Orthogonal rational functions
Quadrature
Sciences and techniques of general use
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Summary: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.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2004.09.050