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arXiv · 1808.02575

Minimal solutions of the rational interpolation problem

Teresa Cortadellas Benitez·Carlos D'Andrea·Eulalia Montoro
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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 $\mu$-basis of a polynomial planar parametrization in terms of a "critical" degree arising in the EEA.

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Teresa Cortadellas Benitez, Carlos D'Andrea, Eulalia Montoro. 2018-08-07. Minimal solutions of the rational interpolation problem. https://arxiv.org/abs/1808.02575

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