Multivariate polynomial interpolation under projectivities. II: Neville- Aitken formulas
type: Item
instance of: scholarly article
title: Multivariate polynomial interpolation under projectivities. II: Neville- Aitken formulas
zbMATH Open document ID: 0754.65009
DOI: 10.1007/BF02139467
published in: Numerical Algorithms
publication date: 1993-01-16T00:00:00Z
review text: [For part I see Numer. Algorithms 1, No. 4, 375-399 (1991; Zbl 0747.65006).] Consider the problem of interpolation by real polynomials of several real variables. For certain complicated knot systems the Neville-Aitken algorithms are derived by mapping them onto a simple knot system and by considering the corresponding polynomial transformations.
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 95462
zbMATH Keywords: polynomial interpolation
zbMATH Keywords: projectivity
zbMATH Keywords: real polynomials of several real variables
zbMATH Keywords: Neville-Aitken algorithms
zbMATH Keywords: knot system
zbMATH Keywords: polynomial transformations
author: M. Gasca
author: Günter W. Mühlbach
MaRDI profile type: Publication
cites work: Q5733898
cites work: On Lattices Admitting Unique Lagrange Interpolations
cites work: Q3750021
cites work: Q3800963
cites work: Polynomial interpolation at points of a geometric mesh on a triangle
cites work: Construction of lattices for Lagrange interpolation in projective space
cites work: Multivariate polynomial interpolation under projectivities. I: Lagrange and Newton interpolation formulas
cites work: Interpolation in Several Variables
full work available at URL: https://doi.org/10.1007/bf02139467
OpenAlex ID: W2014045157
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description: scientific article; zbMATH DE number 95462