Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631965 | Applied Mathematics and Computation | 2011 | 5 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Miguel Ángel García-March, Fernando Giménez, Francisco R. Villatoro, Jezabel Pérez, Pedro Fernández de Córdoba,