Quadrature and orthogonal rational functions
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Publication:5929293
DOI10.1016/S0377-0427(00)00493-3zbMath0970.41020MaRDI QIDQ5929293
Erik Hendriksen, Adhemar Bultheel, Pablo González-Vera, Olav Njåstad
Publication date: 14 October 2001
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Cauchy transformationmultipoint Padé approximationnumerical quadratureorthogonal rational functionsRiesz-Herglotz transformation
Related Items (13)
Sieved para-orthogonal polynomials on the unit circle ⋮ Numerically exact integration of a family of axisymmetric finite elements ⋮ Orthogonal polynomials on the unit circle and chain sequences ⋮ A generalized eigenvalue problem for quasi-orthogonal rational functions ⋮ An extension of the associated rational functions on the unit circle ⋮ Exact cubature rules for symmetric functions ⋮ Structured eigenvalue problems for rational Gauss quadrature ⋮ Asymptotics of recurrence relation coefficients, Hankel determinant ratios, and root products associated with Laurent polynomials orthogonal with respect to varying exponential weights ⋮ The use of rational functions in numerical quadrature ⋮ Generalizations of orthogonal polynomials ⋮ Rational Szegő quadratures associated with Chebyshev weight functions ⋮ Computing rational Gauss-Chebyshev quadrature formulas with complex poles: The algorithm ⋮ Foreword to the proceedings of the OrthoQuad 2014 conference
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Cites Work
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- Multipoint Padé-type approximants. Exact rate of convergence
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- Quadrature rules for rational functions
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- Some results about numerical quadrature on the unit circle
- On the convergence of quadrature formulas for complex weight functions
- Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials
- Orthogonal rational functions and modified approximants
- On the computation of generalized Fermi-Dirac and Bose-Einstein integrals
- On the convergence of quadrature formulas connected with multipoint Padé-type approximation
- Convergence of two-point Padé approximants to series of Stieltjes
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- Gaussian Integration for Complex Weight Functions
- Quadrature Formulas Based on Rational Interpolation
- Chebyshev Polynomials and Markov-Bernstein Type Inequalities for Rational Spaces
- ORTHOGONAL RATIONAL FUNCTIONS AND INTERPOLATORY PRODUCT RULES ON THE UNIT CIRCLE
- Algorithm 793
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