Approximate Fekete points for weighted polynomial interpolation
type: Item
instance of: scholarly article
title: Approximate Fekete points for weighted polynomial interpolation
zbMATH Open document ID: 1192.41002
author: Alvise Sommariva
author: Marco Vianello
publication date: 2010-04-14T00:00:00Z
full work available at URL: https://eudml.org/doc/229634
full work available at URL: pp1-22.pdf
review text: In the present paper, which is mainly of computational and experimental character, the authors focus on approximating Fekete points for weighted polynomial interpolation on compact sets. A recent algorithm [cf. \textit{A. Sommariva} and \textit{M. Vianello}, Comput. Math. Appl. 57, No. 8, 1324--1336 (2009; Zbl 1186.65028)] based on QR factorization with column pivoting [\textit{P. A. Businger} and \textit{G. H. Golub}, Numer. Math. 7, 269--276 (1965; Zbl 0142.11503)] of Vandermonde matrices is employed. In particular cases of univariate and bivariate functions with prescribed poles or other singularities, which are absorbed in the basis by a weight function, are considered. The method is also applied to the construction of real and complex weighted polynomial filters, where the relevant concept is that of weighted norm.
reviewed by: H. P. Dikshit
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D15
zbMATH DE Number: 5692982
zbMATH Keywords: approximate Fekete points
zbMATH Keywords: weighted polynomial interpolation
zbMATH Keywords: prescribed poles
zbMATH Keywords: weighted polynomial filters
describes a project that uses: Matlab
MaRDI profile type: Publication
published in: ETNA - Electronic Transactions on Numerical Analysis
description: scientific article; zbMATH DE number 5692982