\(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae
type: Item
instance of: scholarly article
title: \(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae
zbMATH Open document ID: 0890.65021
DOI: 10.1016/S0377-0427(97)00156-8
author: Walter Gautschi
author: Gradimir V. Milovanović
published in: Journal of Computational and Applied Mathematics
publication date: 1998-07-06T00:00:00Z
review text: This paper gives a new method for constructing Gauss-Turán type quadrature formulae. To this purpose the authors use the theory of \(S\)-orthogonality and reinterprete it in terms of the standard orthogonal polynomials on the real line. For finding the nodes they consider an iterative method with quadratic convergence based on a discretized Stieltjes procedure and the Newton-Kantorovich method. The authors also present a numerical procedure for calculating the coefficients. Numerical examples are given.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 1115933
zbMATH Keywords: \(S\)-orthogonality
zbMATH Keywords: numerical examples
zbMATH Keywords: Gauss-Turán type quadratic formulae
zbMATH Keywords: quadratic convergence
zbMATH Keywords: Newton-Kantorovich method
Wikidata QID: Q115058807
reviewed by: Dumitru Acu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1115933