Generalized averaged Szegő quadrature rules

DOI10.1016/j.cam.2016.08.038zbMath1382.65070OpenAlexW2520857016MaRDI QIDQ730594

Carl Jagels, Tunan Tang, Lothar Reichel

Publication date: 28 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.cam.2016.08.038

zbMATH Keywords

error estimationSzegő quadratureperiodic functionsgeneralized averaged Gauss quadrature

Mathematics Subject Classification ID

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

Related Items (6)

Modified Stieltjes polynomials and Gauss-Kronrod quadrature rules ⋮ The extended global Lanczos method, Gauss-Radau quadrature, and matrix function approximation ⋮ On generalized averaged Gaussian formulas. II ⋮ A note on generalized averaged Gaussian formulas for a class of weight functions ⋮ Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind ⋮ Internality of generalized averaged Gaussian quadrature rules and truncated variants for measures induced by Chebyshev polynomials

Uses Software

• OPQ

Cites Work

• Generalized averaged Gauss quadrature rules for the approximation of matrix functionals
• Szegő-Lobatto quadrature rules
• Fast and stable unitary QR algorithm
• A divide and conquer method for unitary and orthogonal eigenproblems
• The QR algorithm for unitary Hessenberg matrices
• Positive definite Toeplitz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle
• On the construction of Szegő polynomials
• A CS decomposition for orthogonal matrices with application to eigenvalue computation
• A note on generalized averaged Gaussian formulas
• The Exponentially Convergent Trapezoidal Rule
• Stieltjes-type polynomials on the unit circle
• Fast Fourier Methods in Computational Complex Analysis
• Anti-Szego quadrature rules
• On generalized averaged Gaussian formulas
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• A Stable Divide and Conquer Algorithm for the Unitary Eigenproblem
• Anti-Gaussian quadrature formulas
• Optimal extension of the Szeg  quadrature
• An Error Analysis of a Unitary Hessenberg QR Algorithm
• A connection between quadrature formulas on the unit circle and the interval \([-1,1\)]
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