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Multivariate polynomial interpolation under projectivities II: Neville-Aitken formulas

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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.

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Authors and Affiliations

  1. Dpto. Matemática Aplicada, Universidad de Zaragoza, Spain

    M. Gasca

  2. Institut für Angewandte Mathematik, Universität Hannover, Germany

    G. Mühlbach

Authors
  1. M. Gasca
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  2. G. Mühlbach
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Additional information

Communicated by C. Brezinski

Partially supported by CICYT Res. Grant PS87-0060.

Travel Grant Programa Europa 1991, CAI Zaragoza.

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Gasca, M., Mühlbach, G. Multivariate polynomial interpolation under projectivities II: Neville-Aitken formulas. Numer Algor 2, 255–277 (1992). https://doi.org/10.1007/BF02139467

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  • DOI: https://doi.org/10.1007/BF02139467

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