9 citations
- Centre National de la Recherche ScientifiqueFR11 papers
- Sorbonne UniversitéFR8 papers
- LIP6FR4 papers
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- Université de LimogesFR3 papers
- Centre Européen de Recherche et de Formation Avancée en Calcul ScientifiqueFR2 papers
- Centre Inria de SaclayFR2 papers
- Centre National d'Études SpatialesFR2 papers
- École Pour l'Informatique et les Techniques AvancéesFR2 papers
- Laboratoire d'Informatique de l'École PolytechniqueFR2 papers
- North Carolina State UniversityUS2 papers
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math.AC2022★ 9 cited
On Łojasiewicz Inequalities and the Effective Putinar's Positivstellensatz
Lorenzo Baldi, Bernard Mourrain, Adam Parusinski
The representation of positive polynomials on a semi-algebraic set in terms of sums of squares is a central question in real algebraic geometry, which the Positivstellensatz answer…
cs.SC2022★ 2 cited
New efficient algorithms for computing Gröbner bases of saturation ideals (F4SAT) and colon ideals (Sparse-FGLM-colon)
Jérémy Berthomieu, Christian Eder, Mohab Safey El Din
This paper is concerned with linear algebra based methods for solving exactly polynomial systems through so-called Gröbner bases, which allow one to compute modulo the polynomial i…