Szegő polynomials and quadrature formulas on the unit circle

DOI10.1016/S0168-9274(99)00136-1zbMath0971.65020OpenAlexW2044544250MaRDI QIDQ1596334

Pablo González-Vera, Leyla Daruis

Publication date: 24 October 2001

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(99)00136-1

zbMATH Keywords

numerical examplesLaurent polynomialsquadrature formulasSzegő polynomialsdistribution functionsSzegő quadrature formulaspara-orthogonality

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (14)

Rational approximants associated with measures supported on the unit circle and the real line ⋮ Szegö polynomials: Quadrature rules on the unit circle and on \([-1,1\)] ⋮ Para-orthogonal polynomials in frequency analysis ⋮ Rational quadrature formulae on the unit circle with arbitrary poles ⋮ Nodal systems with maximal domain of exactness for Gaussian quadrature formulas ⋮ Characterizing the measures on the unit circle with exact quadrature formulas in the space of polynomials ⋮ Quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity ⋮ Zeros of Sobolev orthogonal polynomials on the unit circle ⋮ Positive interpolatory quadrature formulas and para-orthogonal polynomials ⋮ Rational Szegő quadratures associated with Chebyshev weight functions ⋮ Quadrature formulas associated with rational modifications of the Chebyshev weight functions ⋮ OPUC, CMV matrices and perturbations of measures supported on the unit circle ⋮ Foreword to the proceedings of the OrthoQuad 2014 conference ⋮ Gaussian quadrature formulae on the unit circle

Cites Work

• Positive definite Toeplitz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle
• Some results about numerical quadrature on the unit circle
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• Orthogonal Polynomials and Rational Modifications of Measures
• The evaluation and application of some modified moments
• On the Construction of Gaussian Quadrature Rules from Modified Moments
• On Trigonometric Interpolation
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