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Unisolvency for multivariate polynomial interpolation in Coatmèlec configurations of nodes |
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| Authors: | Miguel Ángel García-MarchFernando Giménez Francisco R VillatoroJezabel Pérez Pedro Fernández de Córdoba |
| Institution: | a Department of Physics, Colorado School of Mines, Golden, Colorado, USA b Instituto Universitario de Matemática Pura y Aplicada - IUMPA, Universidad Politécnica de Valencia, Valencia, Spain c Departamento de Lenguajes y Ciencias de la Computación E.T.S.I. Industriales, Universidad de Málaga, Málaga, Spain |
| Abstract: | 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. |
| Keywords: | Multivariate interpolation Properly posed set of nodes Geometric characterization Coatmè lec lattices |
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