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
2023
Pré-publication, Document de travail
hal-03590430v2
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Faster change of order algorithm for Gröbner bases under shape and stability assumptions
Jérémy Berthomieu
,
Vincent Neiger
,
Mohab Safey El Din
Communication dans un congrès
hal-03580736v2
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Linear Algebra for Computing Gröbner Bases of Linear Recursive Multidimensional Sequences
Jérémy Berthomieu
,
Brice Boyer
,
Jean-Charles Faugère
Article dans une revue
hal-01253934v3
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Contributions to polynomial system solving: Recurrences and Gröbner bases
Jérémy Berthomieu
Symbolic Computation [cs.SC]. Sorbonne Université, 2023
HDR
tel-04289532v1
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Relaxed algorithms for p-adic numbers
Jérémy Berthomieu
,
Joris van der Hoeven
,
Grégoire Lecerf
Article dans une revue
hal-02350488v1
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Guessing Linear Recurrence Relations of Sequence Tuples and P-recursive Sequences with Linear Algebra
Jérémy Berthomieu
,
Jean-Charles Faugère
41st International Symposium on Symbolic and Algebraic Computation , Jul 2016, Waterloo, ON, Canada. pp.95-102,
⟨10.1145/2930889.2930926⟩
Communication dans un congrès
hal-01314266v1
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Computing Generic Fibres of Polynomial Ideals with FGLM and Hensel Lifting
Jérémy Berthomieu
,
Rafael Mohr
2024
Pré-publication, Document de travail
hal-04440914v1
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Polynomial-Time Algorithms for Quadratic Isomorphism of Polynomials: The Regular Case
Jérémy Berthomieu
,
Jean-Charles Faugère
,
Ludovic Perret
Article dans une revue
hal-00846041v6
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Polynomial root finding over local rings and application to error correcting codes
Jérémy Berthomieu
,
Grégoire Lecerf
,
Guillaume Quintin
Article dans une revue
hal-00642075v2
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Reduction of bivariate polynomials from convex-dense to dense, with application to factorizations
Jérémy Berthomieu
,
Grégoire Lecerf
Article dans une revue
hal-00526659v2
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Linear Algebra for Computing Gröbner Bases of Linear Recursive Multidimensional Sequences
Jérémy Berthomieu
,
Brice Boyer
,
Jean-Charles Faugère
40th International Symposium on Symbolic and Algebraic Computation , Jul 2015, Bath, United Kingdom. pp.61--68,
⟨10.1145/2755996.2756673⟩
Communication dans un congrès
hal-01237861v1
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Polynomial-Division-Based Algorithms for Computing Linear Recurrence Relations
Jérémy Berthomieu
,
Jean-Charles Faugère
Article dans une revue
hal-01935229v3
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Spherical Radon transform and the average of the condition number on certain Schubert subvarieties of a Grassmannian
Jérémy Berthomieu
,
Luis Pardo
Article dans une revue
hal-00612612v2
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Modular matrix multiplication on GPU for polynomial system solving
Jérémy Berthomieu
,
Stef Graillat
,
Dimitri Lesnoff
,
Theo Mary
Article dans une revue
hal-04117304v1
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msolve: A Library for Solving Polynomial Systems
Jérémy Berthomieu
,
Christian Eder
,
Mohab Safey El Din
2021 International Symposium on Symbolic and Algebraic Computation , Jul 2021, Saint Petersburg, Russia. pp.51-58,
⟨10.1145/3452143.3465545⟩
Communication dans un congrès
hal-03191666v3
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On the computation of asymptotic critical values of polynomial maps and applications
Jérémy Berthomieu
,
Andrew Ferguson
,
Mohab Safey El Din
2021
Pré-publication, Document de travail
hal-03188279v1
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In-depth comparison of the Berlekamp – Massey – Sakata and the Scalar-FGLM algorithms: the non adaptive variants
Jérémy Berthomieu
,
Jean-Charles Faugère
2017
Pré-publication, Document de travail
hal-01516708v2
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Gröbner bases and critical values: The asymptotic combinatorics of determinantal systems
Jérémy Berthomieu
,
Alin Bostan
,
Andrew Ferguson
,
Mohab Safey El Din
Article dans une revue
hal-03214157v2
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Towards fast one-block quantifier elimination through generalised critical values
Jérémy Berthomieu
,
Andrew Ferguson
,
Mohab Safey El Din
Article dans une revue
hal-02929626v1
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Decomposition of multihomogeneous polynomials: minimal number of variables
Jérémy Berthomieu
2013
Pré-publication, Document de travail
hal-00778659v1
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Contributions à la résolution des systèmes algébriques : réduction, localisation, traitement des singularités ; implantations
Jérémy Berthomieu
Thèse
tel-00666435v3
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Guessing Gröbner Bases of Structured Ideals of Relations of Sequences
Jérémy Berthomieu
,
Mohab Safey El Din
Article dans une revue
hal-02935550v2
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Computing the set of asymptotic critical values of polynomial mappings from smooth algebraic sets
Jérémy Berthomieu
,
Andrew Ferguson
,
Mohab Safey El Din
2022
Pré-publication, Document de travail
hal-03598352v1
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Mathemagix
Joris van der Hoeven
,
Grégoire Lecerf
,
Bernard Mourrain
,
Philippe Trebuchet
,
Jérémy Berthomieu
,
et al.
Article dans une revue
hal-02350521v1
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Relaxed p-adic Hensel lifting for algebraic systems
Jérémy Berthomieu
,
Romain Lebreton
37th International Symposium on Symbolic and Algebraic Computation , Jul 2012, Grenoble, France. pp.59-66,
⟨10.1145/2442829.2442842⟩
Communication dans un congrès
hal-00660566v2
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Computing Hironaka's invariants: Ridge and Directrix
Jérémy Berthomieu
,
Pascal Hivert
,
Hussein Mourtada
Papers from the 12th Conference (AGC2T 12) held in Marseille, March 30--April 3, 2009, the 1st Geocrypt Conference held in Pointe-à-Pitre, April 27-May 1, 2009, and the European Science Foundation Exploratory Workshop on Curves, Coding Theory and Cryptography held in Marseille, March 25-29, 2009. , Mar 2009, Marseille, France. pp.12,
⟨10.1090/conm/521⟩
Communication dans un congrès
hal-00492824v1
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In-depth comparison of the Berlekamp–Massey–Sakata and the Scalar-FGLM algorithms: the adaptive variants
Jérémy Berthomieu
,
Jean-Charles Faugère
Article dans une revue
hal-01805478v3
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A polynomial-division-based algorithm for computing linear recurrence relations
Jérémy Berthomieu
,
Jean-Charles Faugère
ISSAC 2018 - 43rd International Symposium on Symbolic and Algebraic Computation , Jul 2018, New York, United States. pp.79-86,
⟨10.1145/3208976.3209017⟩
Communication dans un congrès
hal-01784369v1
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Relaxed algorithms for p-adic numbers
Jérémy Berthomieu
,
Joris van der Hoeven
,
Grégoire Lecerf
2010
Pré-publication, Document de travail
hal-00486680v1
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