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Sparse Rational Univariate Representation

Angelos Mantzaflaris 1 Éric Schost 2 Elias Tsigaridas 3
1 RICAM - Johann Radon Institute for Computational and Applied Mathematics
2 CS - Cheriton School of Computer Science [Waterloo]
3 PolSys - Polynomial Systems
LIP6 - Laboratoire d'Informatique de Paris 6, Inria de Paris
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.
Keywords : CCS Concepts separation bound sparse resultant DMM polynomial system rational univariate representation Keywords •Computing methodologies → Symbolic calculus algorithms
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https://hal.inria.fr/hal-01528377
Contributor : Elias Tsigaridas <>
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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