The computation of orthogonal rational functions on an interval

DOI10.1016/j.cam.2004.09.050zbMath1089.65017OpenAlexW1990843123MaRDI QIDQ1779453

Adhemar Bultheel, Joris Van Deun

Publication date: 1 June 2005

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.2004.09.050

zbMATH Keywords

numerical exampleserror boundsQuadraturerecurrence coefficientsOrthogonal rational functions

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Other special orthogonal polynomials and functions (33C47) Numerical approximation and evaluation of special functions (33F05)

Related Items (4)

Computing orthogonal rational functions with poles near the boundary ⋮ An extension of the associated rational functions on the unit circle ⋮ The existence and construction of rational Gauss-type quadrature rules ⋮ A weak-star convergence result for orthogonal rational functions

Cites Work

• Orthogonal rational functions and quadrature on the real half line.
• Ratio asymptotics for orthogonal rational functions on an interval
• An interpolation algorithm for orthogonal rational functions.
• A weak-star convergence result for orthogonal rational functions
• Orthogonal rational functions and tridiagonal matrices
• Orthogonal rational functions and quadrature on an interval
• Computing orthogonal rational functions with poles near the boundary
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS
• Construction of Gauss-Christoffel Quadrature Formulas
• On the Construction of Gaussian Quadrature Rules from Modified Moments
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