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Sparse Rational Univariate Representation

Abstract : 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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https://hal.inria.fr/hal-01528377
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Submitted on : Monday, May 29, 2017 - 9:50:24 AM
Last modification on : Friday, January 8, 2021 - 5:44:01 PM
Long-term archiving on: : Wednesday, September 6, 2017 - 10:26:22 AM

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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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