How to generate unknown orthogonal polynomials out of known orthogonal polynomials

DOI10.1016/0377-0427(92)90261-UzbMath0764.65009OpenAlexW2003934994MaRDI QIDQ1195724

Gene H. Golub, Bernd Fischer

Publication date: 18 January 1993

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(92)90261-u

zbMATH Keywords

algorithmsorthogonal polynomialsGauss quadraturerecurrence relationsmodified momentsmodified Chebyshev algorithm

Mathematics Subject Classification ID

Related Items (9)

Unnamed Item ⋮ Computations with half-range Chebyshev polynomials ⋮ Symbolic computation of recurrence coefficients for polynomials orthogonal with respect to the Szegő-Bernstein weights ⋮ Derivation and Analysis of Fast Bilinear Algorithms for Convolution ⋮ Quadrature discretization method in tethered satellite control ⋮ On using Chebyshev polynomials for fitting SLR data of artificial satellites ⋮ Fourier series approximation for periodic solution of system of integral equations using Szego–Bernstein weights ⋮ Orthogonal polynomials (in Matlab) ⋮ Weighted integration of periodic functions on the real line.

Uses Software

• SCPACK

Cites Work

• On the calculation of Jacobi matrices
• A domain decomposition method for generating orthogonal polynomials for a Gaussian weight on a finite interval
• Modified moments and Gaussian quadratures
• Numerical integration using Rys polynomials
• On Generating Polynomials which are Orthogonal over Several Intervals
• Numerical Computation of the Schwarz–Christoffel Transformation
• Minimal Solutions of Three-Term Recurrence Relations and Orthogonal Polynomials
• Computational Aspects of Three-Term Recurrence Relations
• Calculation of Gauss Quadrature Rules
• An Implemention of Christoffel's Theorem in the Theory of Orthogonal Polynomials
• The connection between systems of polynomials orthogonal with respect to different distribution functions
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