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TW 448
Karl Deckers, Joris Van Deun, and Adhemar Bultheel
Rational Gauss-Chebyshev quadrature formulas for complex poles outside [-1,1]
Abstract
In this paper we provide an extension of the Chebyshev orthogonal rational functions with arbitrary \emph{real} poles outside [-1,1] to arbitrary complex poles outside [-1,1]. 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 [-1,1].
report.pdf (188K) / mailto: J. Van Deun