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https://hdl.handle.net/2445/194832
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DC Field | Value | Language |
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dc.contributor.author | Cortadellas Benítez, Teresa | - |
dc.contributor.author | D'Andrea, Carlos, 1973- | - |
dc.contributor.author | Montoro López, M. Eulàlia | - |
dc.date.accessioned | 2023-03-08T09:38:57Z | - |
dc.date.available | 2023-03-08T09:38:57Z | - |
dc.date.issued | 2020 | - |
dc.identifier.issn | 0041-6932 | - |
dc.identifier.uri | https://hdl.handle.net/2445/194832 | - |
dc.description.abstract | We explore connections between the approach of solving the rational interpolation problem via resolutions of ideals and syzygies, and the standard method provided by the Extended Euclidean Algorithm (EEA). As a consequence, we obtain explicit descriptions for solutions of minimal degrees in terms of the degrees of elements appearing in the EEA. This result allows us to describe the minimal degree in a μ-basis of a polynomial planar parametrization in terms of a critical degree arising in the EEA. | - |
dc.format.extent | 17 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Unión Matemática Argentina | - |
dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.33044/revuma.v61n2a14 | - |
dc.relation.ispartof | Revista de la Union Matematica Argentina, 2020, vol. 61, num. 2, p. 413-429 | - |
dc.relation.uri | https://doi.org/10.33044/revuma.v61n2a14 | - |
dc.rights | cc-by (c) Cortadellas Benítez, Teresa et al., 2020 | - |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Teoria de l'aproximació | - |
dc.subject.classification | Teoria de nombres | - |
dc.subject.classification | Homologia | - |
dc.subject.classification | Interpolació (Matemàtica) | - |
dc.subject.other | Approximation theory | - |
dc.subject.other | Number theory | - |
dc.subject.other | Homology | - |
dc.subject.other | Interpolation | - |
dc.title | Minimal solutions of the rational interpolation problem | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 708285 | - |
dc.date.updated | 2023-03-08T09:38:57Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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File | Description | Size | Format | |
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708285.pdf | 400.77 kB | Adobe PDF | View/Open |
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