The existence and construction of rational Gauss-type quadrature rules

DOI10.1016/j.amc.2012.04.008zbMath1266.41019OpenAlexW2069249185MaRDI QIDQ449490

Karl Deckers, Adhemar Bultheel

Publication date: 30 August 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://nalag.cs.kuleuven.be/papers/ade/existconstr/

zbMATH Keywords

generalized eigenvalue problempositive rational interpolatory quadrature rulesquasi-orthogonal rational functions

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Related Items (4)

Gauss-Laurent-type quadrature rules for the approximation of functionals of a nonsymmetric matrix ⋮ Rational Gauss quadrature rules for the approximation of matrix functionals involving Stieltjes functions ⋮ The Short-Term Rational Lanczos Method and Applications ⋮ Radau and Lobatto-type quadratures associated with strong Stieltjes distributions

Uses Software

• GQRAT

Cites Work

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• Positive rational interpolatory quadrature formulas on the unit circle and the interval
• A generalized eigenvalue problem for quasi-orthogonal rational functions
• Gauss quadrature rules for a generalized Hermite weight function
• Orthogonal rational functions with complex poles: The Favard theorem
• Computing rational Gauss-Chebyshev quadrature formulas with complex poles: The algorithm
• Gaussian rational quadrature formulas for ill-scaled integrands
• Orthogonal rational functions and quadrature on the real half line.
• The computation of orthogonal rational functions on an interval
• Weighted integration of periodic functions on the real line.
• Orthogonal rational functions and quadrature on an interval
• On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line
• Structured eigenvalue problems for rational Gauss quadrature
• Eigenvalue problems to compute almost optimal points for rational interpolation with prescribed poles
• Recurrence and asymptotics for orthonormal rational functions on an interval
• Quadrature Formulas Based on Rational Interpolation
• Algorithm 793
• Rational Gauss-Chebyshev quadrature formulas for complex poles outside $[-1,1$]
• On computing rational Gauss-Chebyshev quadrature formulas
• Computation of Gauss-type quadrature formulas

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