Classification of bivariate configurations with simple Lagrange interpolation formulae
type: Item
instance of: scholarly article
title: Classification of bivariate configurations with simple Lagrange interpolation formulae
zbMATH Open document ID: 1050.41003
DOI: 10.1023/A:1025823727706
author: J. M. Carnicer
author: M. Gasca
published in: Advances in Computational Mathematics
publication date: 2004-03-15T00:00:00Z
review text: The authors study bivariate Lagrange interpolation with polynomials of degree \(n \leq 4\). They discuss and describe completely all the geometric configurations of sets of nodes which satisfy the so-called geometric characterization condition. For such configurations, the corresponding Lagrange polynomials are products of polynomials of first degree. The number of lines containing more nodes than the degree \(n\) is used for the classification of the configurations.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 65D05
zbMATH DE Number: 2057579
zbMATH Keywords: bivariate interpolation
zbMATH Keywords: geometric characterization
zbMATH Keywords: Lagrange polynomials
reviewed by: Jürgen Müller
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2057579