Anti-Szego quadrature rules

DOI10.1090/S0025-5718-06-01904-1zbMath1115.65025OpenAlexW1661554543MaRDI QIDQ3426023

Sun-Mi Kim, Lothar Reichel

Publication date: 7 March 2007

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-06-01904-1

zbMATH Keywords

numerical exampleserror estimationSzegő polynomialstrigonometric polynomialsanti-Szegő quadrature rules

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (5)

Trigonometric orthogonal systems and quadrature formulae ⋮ Szegő-Lobatto quadrature rules ⋮ A note on generalized averaged Gaussian formulas ⋮ Positive trigonometric quadrature formulas and quadrature on the unit circle ⋮ Generalized averaged Szegő quadrature rules

Uses Software

• UDC

Cites Work

• 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
• Some results about numerical quadrature on the unit circle
• Orthogonal systems and convolution operators
• A note on Newbery's algorithm for discrete least-squares approximation by trigonometric polynomials
• A class of orthogonal polynomials
• Szegö quadrature formulas for certain Jacobi-type weight functions
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• Corrigendum: Algorithm 730: An implementation of a divide and conquer algorithm for the unitary eigenproblem
• A Stable Divide and Conquer Algorithm for the Unitary Eigenproblem
• Anti-Gaussian quadrature formulas
• An Error Analysis of a Unitary Hessenberg QR Algorithm
• Trigonometric interpolation and curve-fitting
• A connection between quadrature formulas on the unit circle and the interval \([-1,1\)]
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