Aitken-Neville formulae for multivariate interpolation
type: Item
instance of: scholarly article
zbMATH Open document ID: 1248.41005
author: J. M. Carnicer
author: M. Gasca
publication date: 2012-07-02T00:00:00Z
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 6052045
zbMATH Keywords: Aitken-Neville formula
zbMATH Keywords: generalized principal lattices
zbMATH Keywords: multivariate interpolation
MaRDI profile type: Publication
title: Aitken-Neville formulae for multivariate interpolation
published in: Jaen Journal on Approximation
review text: Aitken-Neville formulae for polynomial interpolation allow extensions of univariate polynomial approximations to several variables; this has been studied in much detail by the two current authors. In this paper they revisit their earlier work to identify important points which also stretch from the previous papers to newer approaches. Among other things, a general Aitken-Neville formula is given in two ways, Aitken-Neville sets are defined, and, further, recursion formulae, total degree polynomial interpolation and geometric characterizations of correct sets for interpolation are in special focus.
reviewed by: Martin D. Buhmann
description: scientific article; zbMATH DE number 6052045