Numerical Algorithms

, Volume 2, Issue 3, pp 255–277 | Cite as

Multivariate polynomial interpolation under projectivities II: Neville-Aitken formulas

  • M. Gasca
  • G. Mühlbach
Article

Abstract

This is the second part of a note on interpolation by real polynomials of several real variables. For certain regular knot systems (geometric or regular meshes, tensor product grids), Neville-Aitken algorithms are derived explicitly. By application of a projectivity they can be extended in a simple way to arbitrary (k+1)-pencil lattices as recently introduced by Lee and Phillips. A numerical example is given.

Subject classifications

65D05 41A05 41A63 

Keywords

Polynomial interpolation multivariate polynomials projectivities Neville-Aitken 

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Copyright information

© J.C. Baltzer A.G. Scientific Publishing Company 1992

Authors and Affiliations

  • M. Gasca
    • 1
  • G. Mühlbach
    • 2
  1. 1.Dpto. Matemática AplicadaUniversidad de ZaragozaSpain
  2. 2.Institut für Angewandte MathematikUniversität HannoverGermany

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