Positive rational interpolatory quadrature formulas on the unit circle and the interval
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Publication:608501
DOI10.1016/j.apnum.2010.03.018zbMath1204.41022OpenAlexW2139689350MaRDI QIDQ608501
Francisco Perdomo-Pío, Ruymán Cruz-Barroso, Adhemar Bultheel, Karl Deckers
Publication date: 25 November 2010
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: http://nalag.cs.kuleuven.be/papers/ade/PRIQF/
intervalunit circlepara-orthogonal rational functionspositive rational interpolatory quadraturerational Gauss-type quadraturesrational Szegő quadrature
Related Items (3)
Rational interpolation. I: Least square convergence ⋮ The existence and construction of rational Gauss-type quadrature rules ⋮ Rational interpolation. II: Quadrature and convergence
Cites Work
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- Computation of rational Szegő-Lobatto quadrature formulas
- A generalized eigenvalue problem for quasi-orthogonal rational functions
- Szegő-Lobatto quadrature rules
- 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
- Positive interpolatory quadrature formulas and para-orthogonal polynomials
- Orthogonal rational functions and tridiagonal matrices
- Orthogonal rational functions and quadrature on an interval
- On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line
- A class of orthogonal polynomials
- Rational Szegő quadratures associated with Chebyshev weight functions
- Rational quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity
- A quadrature formula based on Chebyshev rational functions
- Recurrence and asymptotics for orthonormal rational functions on an interval
- Rational Gauss-Chebyshev quadrature formulas for complex poles outside $[-1,1$]
- On computing rational Gauss-Chebyshev quadrature formulas
- A connection between quadrature formulas on the unit circle and the interval \([-1,1\)]
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