Quadrature formulas on the unit circle based on rational functions

DOI10.1016/0377-0427(94)90297-6zbMath0809.41027OpenAlexW1978843164MaRDI QIDQ1334759

Olav Njåstad, Erik Hendriksen, Adhemar Bultheel, Pablo González-Vera

Publication date: 22 September 1994

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

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90297-6

zbMATH Keywords

quadrature formulasorthogonal rational functions

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Related Items (12)

A matricial computation of rational quadrature formulas on the unit circle ⋮ Orthogonal rational functions and nested disks ⋮ Orthogonal rational functions and modified approximants ⋮ Computation of rational Szegő-Lobatto quadrature formulas ⋮ Rational interpolation. I: Least square convergence ⋮ Rational quadrature formulae on the unit circle with arbitrary poles ⋮ Rates of convergence of multipoint rational approximants and quadrature formulas on the unit circle ⋮ On the convergence of multipoint Padé-type approximants and quadrature formulas associated with the unit circle ⋮ Rational Szegő quadratures associated with Chebyshev weight functions ⋮ Foreword to the proceedings of the OrthoQuad 2014 conference ⋮ Matrix methods for quadrature formulas on the unit circle. A survey ⋮ On Canonical Solutions of a Moment Problem for Rational Matrix-valued Functions

Cites Work

• Orthogonal rational functions and quadrature on the unit circle
• Orthogonal Laurent polynomials and the strong Hamburger moment problem
• Orthogonal rational functions and tridiagonal matrices
• A class of orthogonal polynomials
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
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