Volume 60, pp. 123-135, 2024.

Dimensional reduction for multivariate Lagrange polynomial interpolation problems

M. Errachid, A. Essanhaji, and A. Messaoudi

Abstract

In this work we propose a theoretical and practical method to transform the multivariate Lagrange polynomial interpolation problem into a univariate problem. This transformation allows a wide exploitation of all one-variable polynomial Lagrange interpolation schemes such as Newton's scheme or split differences, etc. Numerical comparison with other existing methods will be studied.

Full Text (PDF) [214 KB], BibTeX

Key words

polynomial interpolation, multivariate Lagrange polynomial interpolation problem

AMS subject classifications

65D05, 41A05, 41A63, 41A10, 97N50

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