Minimal solutions of the rational interpolation problem
Commutative Algebra
2019-10-24 v2 Symbolic Computation
Abstract
We explore connections between the approach of solving the rational interpolation problem via resolutions of ideals and syzygies with the standard method provided by the Extended Euclidean Algorithm. As a consequence, we obtain explicit descriptions for solutions of "minimal" degrees in terms of the degrees of elements appearing in the EEA. This allows us to describe the minimal degree in a -basis of a polynomial planar parametrization in terms of a "critical" degree arising in the EEA.
Cite
@article{arxiv.1808.02575,
title = {Minimal solutions of the rational interpolation problem},
author = {Teresa Cortadellas Benitez and Carlos D'Andrea and Eulalia Montoro},
journal= {arXiv preprint arXiv:1808.02575},
year = {2019}
}
Comments
16 pages, revised version. Accepted for publication at Revista de la Union Matematica Argentina