Sparse Rational Univariate Representation

Angelos Mantzaflaris, Éric Schost, Elias Tsigaridas · 2017

We present explicit worst case degree and height bounds for the rational univariate representation of the isolated roots of polynomial systems based on mixed volume. We base our estimations on height bounds of resultants and we consider the case of 0-dimensional, positive dimensional, and parametric polynomial systems.

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