Unisolvency for multivariate polynomial interpolation in Coatmèlec configurations of nodes
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摘要
A new and straightforward proof of the unisolvability of the problem of multivariate polynomial interpolation based on Coatmèlec configurations of nodes, a class of properly posed set of nodes defined 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 following the so-called Radon–Bézout process.
论文关键词:Multivariate interpolation,Properly posed set of nodes,Geometric characterization,Coatmèlec lattices
论文评审过程:Available online 12 February 2011.
论文官网地址:https://doi.org/10.1016/j.amc.2011.02.034