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Garcia-March, MaAuthorFernando GimenezAuthorGimenez, FAuthorJezabel PérezAuthorPerez, JCorresponding AuthorPedro Fernández De CórdobaAuthor

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October 31, 2024
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Unisolvency for multivariate polynomial interpolation in Coatmelec configurations of nodes

Publicated to:Applied Mathematics And Computation. 217 (18): 7427-7431 - 2011-05-15 217(18), DOI: doi:10.1016/j.amc.2011.02.034

Authors: Angel Garcia-March, Miguel; Gimenez, Fernando; Villatoro, Francisco R; Perez, Jezabel; Fernandez de Cordoba, Pedro

Affiliations

Colorado Sch Mines, Dept Phys - Author
Univ Malaga, Dept Lenguajes & Ciencias Computac ETSI Ind - Author
Univ Politecn Valencia, IUMPA - Author

Abstract

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. (C) 2011 Published by Elsevier Inc.

Keywords

BivariateCoatmelec latticesCoatmlec latticesGeometric characterizationGeometryInterpolationLagrange interpolationMultivariable systemsMultivariate interpolationMultivariate polynomialProperly posed set of nodes

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Applied Mathematics And Computation due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2011, it was in position 44/245, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics, Applied.

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-07-25:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 3 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: United States of America.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (Garcia March, Miguel Angel) and Last Author (de Cordoba, PF).

the author responsible for correspondence tasks has been Pérez Igualada, Javier.