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Unisolvency for Multivariate Polynomial Interpolation in Coatmèlec Configurations of Nodes

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Unisolvency for Multivariate Polynomial Interpolation in Coatmèlec Configurations of Nodes

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Garcia March, MA.; Gimenez Palomares, F.; Villatoro, FR.; Pérez Quiles, MJ.; Fernández De Córdoba Castellá, PJ. (2011). Unisolvency for Multivariate Polynomial Interpolation in Coatmèlec Configurations of Nodes. Applied Mathematics and Computation. 217(18):7427-7431. doi:10.1016/j.amc.2011.02.034

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Title: Unisolvency for Multivariate Polynomial Interpolation in Coatmèlec Configurations of Nodes
Author: García March, Miguel Ángel Gimenez Palomares, Fernando Villatoro, Francisco R. Pérez Quiles, María Jezabel Fernández de Córdoba Castellá, Pedro José
UPV Unit: Universitat Politècnica de València. Instituto Universitario de Aplicaciones de las Tecnologías de la Información - Institut Universitari d'Aplicacions de les Tecnologies de la Informació
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
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 ...[+]
Subjects: Multivariate interpolation , Properly posed set of nodes , Geometric characterization , Coatmèlec lattices
Copyrigths: Reserva de todos los derechos
Source:
Applied Mathematics and Computation. (issn: 0096-3003 )
DOI: 10.1016/j.amc.2011.02.034
Publisher:
Elsevier
Publisher version: http://dx.doi.org/10.1016/j.amc.2011.02.034
Project ID:
Ministerio de Ciencia e Innovación of Spain [Project MTM2010-19969]
Universidad Politécnica de Valencia [Grant PAID-06-09-2734]
Spanish Ministry of Science and Education (MEC)
Fulbright Commission
FECYT
Thanks:
The authors thank to Drs. Mariano Gasca and Juan I. Ramos for pointing us some references and for their useful comments which have greatly improved the presentation. The authors also thank a reviewer for pointing out a ...[+]
Type: Artículo

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