An Optimal Bivariate Polynomial Interpolation Basis for the Application of the Evaluation-Interpolation Technique
dc.contributor.author | Varsamis, Dimitris | |
dc.contributor.author | Karampetakis, Nicholas | |
dc.contributor.author | Mastorocostas, Paris | |
dc.date.accessioned | 2015-06-17T16:33:23Z | |
dc.date.accessioned | 2024-09-27T18:13:04Z | |
dc.date.available | 2015-06-17T16:33:23Z | |
dc.date.available | 2024-09-27T18:13:04Z | |
dc.date.issued | 2014-01-01 | |
dc.description.abstract | A new basis of interpolation points for the special case of the Newton two variable polynomial interpolation problem is proposed. This basis is implemented when the upper bound of the total degree and the degree in each variable is known. It is shown that this new basis under certain conditions (that depends on the degrees of the interpolation polynomial), coincides either with the known triangular/rectangular basis or it is a polygonal basis. In all cases it uses the least interpolation points with further consequences to the complexity of the algorithms that we use. | en |
dc.format.extent | 9 | el |
dc.identifier.doi | 10.12785/amis/080114 | |
dc.identifier.other | http://naturalspublishing.com/files/published/oqn4148x4z1u48.pdf | el |
dc.identifier.uri | https://repository2024.ihu.gr/handle/123456789/1343 | |
dc.language.iso | en | el |
dc.publication.category | Δημοσίευση ανοιχτής πρόσβασης | el |
dc.relation.journal | Applied Mathematics & Information Sciences;Vol. 8, Iss. 1 | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Διεθνές | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject.keyword | Bivariate polynomial | el |
dc.subject.keyword | Newton interpolation | el |
dc.subject.keyword | Determinant | el |
dc.subject.keyword | Interpolation points | el |
dc.title | An Optimal Bivariate Polynomial Interpolation Basis for the Application of the Evaluation-Interpolation Technique | en |
dc.type | Άρθρο σε επιστημονικό περιοδικό | el |
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