| Home > Publications > Reports > Numerical Analysis and Applied Mathematics (TW) |
TW 462
Karl Deckers, Joris Van Deun, Adhemar Bultheel
Computing rational Gauss-Chebyshev quadrature formulas with complex poles
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.
report.pdf (537K) / mailto: K. Deckers