Unisolvency for multivariate polynomial interpolation in Coatmelec configurations of nodes

作者：Angel Garcia March Miguel; Gimenez Fernando; Villatoro Francisco R; Perez Jezabel^*; Fernandez de Cordoba Pedro

来源：Applied Mathematics and Computation, 2011, 217(18): 7427-7431.

DOI：10.1016/j.amc.2011.02.034

• Multivariate interpolation
• Properly posed set of nodes
• Geometric characterization
• Coatmelec lattices

A new and straightforward proof of the unisolvability of the problem of multivariate polynomial interpolation based on Coatmelec 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-Bezout process.

• 出版日期2011-5-15