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A Superfast Randomized Algorithm to Decompose Binary Forms

Matías R Bender , Jean-Charles Faugère , Ludovic Perret , Elias Tsigaridas
ISSAC '16 - 41st International Symposium on Symbolic and Algebraic Computation, Jul 2016, Waterloo, Canada. pp.79-86, ⟨10.1145/2930889.2930896⟩
Communication dans un congrès hal-01363545v1
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Towards Mixed Gröbner Basis Algorithms: the Multihomogeneous and Sparse Case

Matías R Bender , Jean-Charles Faugère , Elias Tsigaridas
ISSAC 2018 - 43rd International Symposium on Symbolic and Algebraic Computation, Jul 2018, New York, United States. ⟨10.1145/3208976.3209018⟩
Communication dans un congrès hal-01787423v2
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A nearly optimal algorithm to decompose binary forms

Matías R Bender , Jean-Charles Faugère , Ludovic Perret , Elias Tsigaridas
Journal of Symbolic Computation, 2021, 105, pp.71-96. ⟨10.1016/j.jsc.2020.06.002⟩
Article dans une revue hal-01907777v3
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Bilinear systems with two supports: Koszul resultant matrices, eigenvalues, and eigenvectors

Matías R Bender , Jean-Charles Faugère , Angelos Mantzaflaris , Elias Tsigaridas
ISSAC 2018 - 43rd International Symposium on Symbolic and Algebraic Computation, Jul 2018, New York, United States. ⟨10.1145/3208976.3209011⟩
Communication dans un congrès hal-01787549v1
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Gröbner Basis over Semigroup Algebras: Algorithms and Applications for Sparse Polynomial Systems

Matías R Bender , Jean-Charles Faugère , Elias P. Tsigaridas
ISSAC 2019 - 44th International Symposium on Symbolic and Algebraic Computation, Jul 2019, Beijing, China. pp.42-49, ⟨10.1145/3326229.3326248⟩
Communication dans un congrès hal-02002689v2
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Koszul-type determinantal formulas for families of mixed multilinear systems

Matías R Bender , Jean-Charles Faugère , Angelos Mantzaflaris , Elias Tsigaridas
SIAM Journal on Applied Algebra and Geometry, 2021, 5 (4), pp.589-619. ⟨10.1137/20M1332190⟩
Article dans une revue hal-03236344v1

Dimension results for extremal-generic polynomial systems over complete toric varieties

Matías R Bender , Pierre-Jean Spaenlehauer
Journal of Algebra, 2024, 646, pp.156-182. ⟨10.1016/j.jalgebra.2024.01.029⟩
Article dans une revue hal-04102564v1