Computing rational Gauss-Chebyshev quadrature formulas with complex poles: The algorithm
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Publication:1028204
DOI10.1016/j.advengsoft.2008.11.011zbMath1173.65018OpenAlexW2058089454MaRDI QIDQ1028204
Adhemar Bultheel, Karl Deckers, Joris Van Deun
Publication date: 30 June 2009
Published in: Advances in Engineering Software (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.advengsoft.2008.11.011
complexityalgorithmorthogonal rational functionscomplex polesrational Gauss-Chebyshev quadrature formulas
Related Items (8)
CHRISTOFFEL FUNCTIONS AND UNIVERSALITY LIMITS FOR ORTHOGONAL RATIONAL FUNCTIONS ⋮ Positive rational interpolatory quadrature formulas on the unit circle and the interval ⋮ A generalized eigenvalue problem for quasi-orthogonal rational functions ⋮ Chebyshev series method for computing weighted quadrature formulas ⋮ An extension of the associated rational functions on the unit circle ⋮ The existence and construction of rational Gauss-type quadrature rules ⋮ Rational Szegő quadratures associated with Chebyshev weight functions ⋮ Computing rational Gauss-Chebyshev quadrature formulas with complex poles: The algorithm
Cites Work
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- An extended relation between orthogonal rational functions on the unit circle and the interval \([ - 1,1\)]
- Computing rational Gauss-Chebyshev quadrature formulas with complex poles: The algorithm
- Ratio asymptotics for orthogonal rational functions on an interval
- An interpolation algorithm for orthogonal rational functions.
- Boundary asymptotics for orthogonal rational functions on the unit circle
- A weak-star convergence result for orthogonal rational functions
- Orthogonal rational functions and quadrature on an interval
- State space representation for arbitrary orthogonal rational functions
- Recurrence and asymptotics for orthonormal rational functions on an interval
- Orthogonal rational matrix‐valued functions on the unit circle
- Rational Gauss-Chebyshev quadrature formulas for complex poles outside $[-1,1$]
- Orthogonal rational matrix‐valued functions on the unit circle: Recurrence relations and a Favard‐type theorem
- On computing rational Gauss-Chebyshev quadrature formulas
- Quadrature and orthogonal rational functions
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