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Minimal solutions of the rational interpolation problem
Volume 61, no. 2
(2020),
pp. 413–429
https://doi.org/10.33044/revuma.v61n2a14
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 $\mu$-basis of a polynomial planar parametrization in
terms of a critical degree arising in the EEA.
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Published by the Unión Matemática Argentina |
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