Title: Orthogonal rational functions on an interval
Authors: Van Deun, Joris ×
Bultheel, Adhemar
Issue Date: Mar-2001
Publisher: Department of Computer Science, K.U.Leuven
Series Title: TW Reports vol:TW322
Abstract: Rational functions with real poles and poles in the complex lower half plane, orthogonal on the real line, are well known. Quadrature formulas similar to the Gauss formulas for orthogonal polynomials have been studied. We generalize to the case of arbitrary complex poles (with complex conjugate poles as a special case) and study orthogonality on a finite interval. The zeros of the orthogonal rational functions are shown to satisfy a quadratic eigenvalue problem. In the case of real poles, these zeros are used as nodes in the quadrature formulas.
Publication status: published
KU Leuven publication type: IR
Appears in Collections:NUMA, Numerical Analysis and Applied Mathematics Section
× corresponding author

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