Jacobi matrices for sums of weight functions

DOI10.1007/BF01995114zbMath0783.65037MaRDI QIDQ688743

Sylvan Elhay, Gene H. Golub, Jaroslav Kautsky

Publication date: 10 March 1994

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

numerical examplesLanczos methodrecurrence relationOrthogonal polynomialsGauss quadratureJacobi rotationstridiagonal Jacobi matrix

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Orthogonalization in numerical linear algebra (65F25)

Related Items

On sensitivity of Gauss-Christoffel quadrature, Minkowski's question mark measure, Orthogonal polynomials with respect to the sum of an arbitrary measure and a Bernstein-Szegö measure, Computing the Hessenberg matrix associated with a self-similar measure, Hessenberg matrix for sums of Hermitian positive definite matrices and weighted shifts, On computing Jacobi matrices associated with recurrent and Möbius iterated function systems, Calculation of Radau-Kronrod and Lobatto-Kronrod quadrature formulas, The inverse of a tridiagonal matrix, Quasi-orthogonality properties and orthogonality with respect to the Chebyshev perturbation of a Bernstein measure, Jacobi matrices for measures modified by a rational factor

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• Calculation of Gauss Quadrature Rules