Unisolvency for multivariate polynomial interpolation in Coatmelec configurations of nodes
A new and straightforward proof of the unisolvability of the problem of multivariate poly-
nomial interpolation based on Coatmèlec con?gurations of nodes, a class of properly posed
set of nodes de?ned by hyperplanes, is presented. The proof generalizes a previous one for
the bivariate case and is based on a recursive reduction of the problem to simpler ones fol-
lowing the so-called Radon–Bézout process.