Rational Gauss-Chebyshev quadrature formulas for complex poles outside |
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Authors: | Karl Deckers Joris Van Deun Adhemar Bultheel |
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Institution: | Department of Computer Science, K. U. Leuven, B-3001 Heverlee, Belgium ; Department of Computer Science, K. U. Leuven, B-3001 Heverlee, Belgium ; Department of Computer Science, K. U. Leuven, B-3001 Heverlee, Belgium |
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Abstract: | In this paper we provide an extension of the Chebyshev orthogonal rational functions with arbitrary real poles outside to arbitrary complex poles outside . The zeros of these orthogonal rational functions are not necessarily real anymore. By using the related para-orthogonal functions, however, we obtain an expression for the nodes and weights for rational Gauss-Chebyshev quadrature formulas integrating exactly in spaces of rational functions with arbitrary complex poles outside . |
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Keywords: | Quadrature formulas orthogonal rational functions |
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