Computing rational Gauss-Chebyshev quadrature formulas with complex poles

نویسندگان

  • Karl Deckers
  • Joris Van Deun
  • Adhemar Bultheel
چکیده

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.

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تاریخ انتشار 2006