Computing Rational Gauss-Chebyshev Quadrature Formulas with Complex Poles

Karl Deckers, Joris Van Deun, Adhemar Bultheel

Type: Article

Publication Date: 2009-05-25

Citations: 5

DOI: https://doi.org/10.4203/ccp.84.30

Abstract

We provide a fast algorithm to compute arbitrarily many nodes and weights for rational Gauss-Chebyshev quadrature formulas integrating exactly in spaces of rational functions with arbitrary complex poles outside [-1, 1].This algorithm is based on the derivation of explicit expressions for the Chebyshev (para-) orthogonal rational functions.

Locations

Civil-comp proceedings - View
Lirias (KU Leuven) - View - PDF

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+ PDF Chat	Rational Szegő quadratures associated with Chebyshev weight functions	2008	Adhemar Bultheel Ruymán Cruz‐Barroso Karl Deckers Pablo González-Vera
+ PDF Chat	Algorithm 882	2008	Joris Van Deun Karl Deckers Adhemar Bultheel J. A. C. Weideman
+ PDF Chat	Computing rational Gauss–Chebyshev quadrature formulas with complex poles: The algorithm	2009	Karl Deckers Joris Van Deun Adhemar Bultheel
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Works Cited by This (3)

Action	Title	Year	Authors
+	Orthogonal rational functions and quadrature on an interval	2003	Joris Van Deun Adhemar Bultheel
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