Gaussian quadrature formulae on the unit circle

DOI10.1016/S0377-0427(01)00410-1zbMath1013.41015OpenAlexW2108677148MaRDI QIDQ1602773

Leyla Daruis, Francisco Marcellán, Pablo González-Vera

Publication date: 24 June 2002

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(01)00410-1

zbMATH Keywords

Laurent polynomialsquadrature formulapositive measure

Mathematics Subject Classification ID

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

Related Items (9)

Szegő-Lobatto quadrature rules ⋮ CMV block matrices for symmetric matrix measures on the unit circle ⋮ Orthogonal polynomials with respect to the sum of an arbitrary measure and a Bernstein-Szegö measure ⋮ A new numerical quadrature formula on the unit circle ⋮ Nodal systems with maximal domain of exactness for Gaussian quadrature formulas ⋮ A discontinuous finite element solution of the Boltzmann kinetic equation in collisionless and BGK forms for macroscopic gas flows ⋮ Characterizing the measures on the unit circle with exact quadrature formulas in the space of polynomials ⋮ Characterizing curves satisfying the Gauss-Christoffel theorem ⋮ Foreword to the proceedings of the OrthoQuad 2014 conference

Cites Work

• Rational functions associated with double infinite sequences of complex numbers
• Szegő polynomials and quadrature formulas on the unit circle
• Characterization of orthogonal polynomials with respect to a functional
• A class of orthogonal polynomials
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
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