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https://dipositint.ub.edu/dspace/handle/2445/194832
Title: | Minimal solutions of the rational interpolation problem |
Author: | Cortadellas Benítez, Teresa D'Andrea, Carlos, 1973- Montoro López, M. Eulàlia |
Keywords: | Teoria de l'aproximació Teoria de nombres Homologia Interpolació (Matemàtica) Approximation theory Number theory Homology Interpolation |
Issue Date: | 2020 |
Publisher: | Unión Matemática Argentina |
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. |
Note: | Reproducció del document publicat a: https://doi.org/10.33044/revuma.v61n2a14 |
It is part of: | Revista de la Union Matematica Argentina, 2020, vol. 61, num. 2, p. 413-429 |
URI: | http://hdl.handle.net/2445/194832 |
Related resource: | https://doi.org/10.33044/revuma.v61n2a14 |
ISSN: | 0041-6932 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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