On the sensitivity of orthogonal polynomials to perturbations in the moments
type: Item
instance of: scholarly article
title: On the sensitivity of orthogonal polynomials to perturbations in the moments
zbMATH Open document ID: 0613.65014
DOI: 10.1007/BF01389645
author: Walter Gautschi
published in: Numerische Mathematik
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133075
review text: Modification of the moments of a positive weight distribution enables to determine the recursive coefficients of polynomials orthogonal to the given distribution uniquely. The sensitivity of the underlying nonlinear maps with regard to perturbations in the modified moments is analyzed, and pertinent descriptive concepts are introduced. Especially, weight moments of Chebyshev and Jacobi type are discussed.
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 3992773
zbMATH Keywords: orthogonal polynomial
zbMATH Keywords: measure
zbMATH Keywords: weak and strong nodes
zbMATH Keywords: moments
zbMATH Keywords: recursive coefficients
zbMATH Keywords: sensitivity
zbMATH Keywords: nonlinear maps
zbMATH Keywords: perturbations
zbMATH Keywords: Chebyshev
zbMATH Keywords: Jacobi
MaRDI profile type: Publication
cites work: On Generating Orthogonal Polynomials
cites work: Q3707259
cites work: An algorithm for Gaussian quadrature given modified moments
cites work: Q4061445
OpenAlex ID: W2093639764
description: scientific article; zbMATH DE number 3992773