38 citations
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR44 papers
- Sorbonne UniversitéFR33 papers
- Université Paris CitéFR19 papers
- Centre National de la Recherche ScientifiqueFR12 papers
- Institut national de recherche en sciences et technologies du numériqueFR12 papers
- National and Kapodistrian University of AthensGR5 papers
- Institut FourierFR4 papers
- LIP6FR4 papers
- Université Pierre-et-Marie-CurieFR4 papers
- City University of Hong KongHK3 papers
- Geometric (India)IN3 papers
- Technische Universität BerlinDE3 papers
7 papers · 1 filter
Solving parametric polynomial systems using Generic Rational Univariate Representation
Florent Corniquel
In this paper, we present a generic parametrization of generically zero-dimensional parametric polynomial systems. More specifically, we study the specialization properties of the…
Certificates for nonnegativity of multivariate integer polynomials under perturbations
Matías R Bender, Khazhgali Kozhasov, Elias Tsigaridas +1
We develop a general and unconditional framework for certifying the global nonnegativity of multivariate integer polynomials; based on rewriting them as sum of squares modulo their…
Computing Euler products and coefficients of classical modular forms for twisted L-functions
Pascal Molin
We describe a complete algorithm to compute millions of coefficients of classical modular forms in a few seconds. We also review operations on Euler products and illustrate our met…
-norm computation for linear time-invariant systems depending on parameters
Alban Quadrat, Fabrice Rouillier, Grace Younes
This paper focuses on representing the -norm of finite-dimensional linear time-invariant systems with parameter-dependent coefficients. Previous studies tackled the pro…
On Isolating Roots in a Multiple Field Extension
Christina Katsamaki, Fabrice Rouillier
We address univariate root isolation when the polynomial's coefficients are in a multiple field extension. We consider a polynomial , where is a multiple algebraic…
PTOPO: Computing the Geometry and the Topology of Parametric Curves
Christina Katsamaki, Fabrice Rouillier, Elias Tsigaridas
We consider the problem of computing the topology and describing the geometry of a parametric curve in . We present an algorithm, PTOPO, that constructs an abstract g…