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Conference Papers Year : 2017

Sparse Rational Univariate Representation


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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Dates and versions

hal-01528377 , version 1 (29-05-2017)



Angelos Mantzaflaris, Éric Schost, Elias Tsigaridas. Sparse Rational Univariate Representation. ISSAC 2017 - International Symposium on Symbolic and Algebraic Computation, Jul 2017, Kaiserslautern, Germany. pp.8, ⟨10.1145/3087604.3087653⟩. ⟨hal-01528377⟩
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