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Vincent Neiger
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Books and Theses
- 2016
- [b1]Vincent Neiger:
Bases of relations in one or several variables: fast algorithms and applications. (Bases de relations en une ou plusieurs variables : algorithmes rapides et applications). École normale supérieure de Lyon, France, 2016
Journal Articles
- 2024
- [j11]Vincent Neiger, Bruno Salvy, Éric Schost, Gilles Villard:
Faster Modular Composition. J. ACM 71(2): 11:1-11:79 (2024) - 2021
- [j10]Vincent Neiger, Clément Pernet:
Deterministic computation of the characteristic polynomial in the time of matrix multiplication. J. Complex. 67: 101572 (2021) - [j9]David Lucas, Vincent Neiger, Clément Pernet, Daniel S. Roche, Johan Rosenkilde:
Verification protocols with sub-linear communication for polynomial matrix operations. J. Symb. Comput. 105: 165-198 (2021) - 2020
- [j8]Vincent Neiger, Éric Schost:
Computing syzygies in finite dimension using fast linear algebra. J. Complex. 60: 101502 (2020) - [j7]Seung Gyu Hyun, Vincent Neiger, Hamid Rahkooy, Éric Schost:
Block-Krylov techniques in the context of sparse-FGLM algorithms. J. Symb. Comput. 98: 163-191 (2020) - [j6]Claude-Pierre Jeannerod, Vincent Neiger, Gilles Villard:
Fast computation of approximant bases in canonical form. J. Symb. Comput. 98: 192-224 (2020) - 2018
- [j5]Seung Gyu Hyun, Vincent Neiger, Hamid Rahkooy, Éric Schost:
Sparse FGLM using the block Wiedemann algorithm. ACM Commun. Comput. Algebra 52(4): 123-125 (2018) - [j4]Elise Barelli, Peter Beelen, Mrinmoy Datta, Vincent Neiger, Johan Rosenkilde:
Two-Point Codes for the Generalized GK Curve. IEEE Trans. Inf. Theory 64(9): 6268-6276 (2018) - 2017
- [j3]George Labahn, Vincent Neiger, Wei Zhou:
Fast, deterministic computation of the Hermite normal form and determinant of a polynomial matrix. J. Complex. 42: 44-71 (2017) - [j2]Claude-Pierre Jeannerod, Vincent Neiger, Éric Schost, Gilles Villard:
Computing minimal interpolation bases. J. Symb. Comput. 83: 272-314 (2017) - 2015
- [j1]Muhammad F. I. Chowdhury, Claude-Pierre Jeannerod, Vincent Neiger, Éric Schost, Gilles Villard:
Faster Algorithms for Multivariate Interpolation With Multiplicities and Simultaneous Polynomial Approximations. IEEE Trans. Inf. Theory 61(5): 2370-2387 (2015)
Conference and Workshop Papers
- 2024
- [c19]Sriram Gopalakrishnan, Vincent Neiger, Mohab Safey El Din:
Optimized Gröbner basis algorithms for maximal determinantal ideals and critical point computations. ISSAC 2024: 400-409 - [c18]Vincent Neiger, Clément Pernet, Gilles Villard:
Computing Krylov iterates in the time of matrix multiplication. ISSAC 2024: 419-428 - 2023
- [c17]Alin Bostan, Vincent Neiger, Sergey Yurkevich:
Beating binary powering for polynomial matrices. ISSAC 2023: 70-79 - [c16]Sriram Gopalakrishnan, Vincent Neiger, Mohab Safey El Din:
Refined F5 Algorithms for Ideals of Minors of Square Matrices. ISSAC 2023: 270-279 - 2022
- [c15]George Labahn, Vincent Neiger, Thi Xuan Vu, Wei Zhou:
Rank-Sensitive Computation of the Rank Profile of a Polynomial Matrix. ISSAC 2022: 351-360 - [c14]Jérémy Berthomieu, Vincent Neiger, Mohab Safey El Din:
Faster Change of Order Algorithm for Gröbner Bases under Shape and Stability Assumptions. ISSAC 2022: 409-418 - 2021
- [c13]Seung Gyu Hyun, Vincent Neiger, Éric Schost:
Algorithms for Linearly Recurrent Sequences of Truncated Polynomials. ISSAC 2021: 201-208 - 2020
- [c12]Magali Bardet, Pierre Briaud, Maxime Bros, Philippe Gaborit, Vincent Neiger, Olivier Ruatta, Jean-Pierre Tillich:
An Algebraic Attack on Rank Metric Code-Based Cryptosystems. EUROCRYPT (3) 2020: 64-93 - [c11]Simone Naldi, Vincent Neiger:
A divide-and-conquer algorithm for computing gröbner bases of syzygies in finite dimension. ISSAC 2020: 380-387 - [c10]Vincent Neiger, Johan Rosenkilde, Grigory Solomatov:
Generic bivariate multi-point evaluation, interpolation and modular composition with precomputation. ISSAC 2020: 388-395 - 2019
- [c9]Seung Gyu Hyun, Vincent Neiger, Éric Schost:
Implementations of Efficient Univariate Polynomial Matrix Algorithms and Application to Bivariate Resultants. ISSAC 2019: 235-242 - 2018
- [c8]Pascal Giorgi, Vincent Neiger:
Certification of Minimal Approximant Bases. ISSAC 2018: 167-174 - [c7]Vincent Neiger, Johan Rosenkilde, Grigory Solomatov:
Computing Popov and Hermite Forms of Rectangular Polynomial Matrices. ISSAC 2018: 295-302 - 2017
- [c6]Vincent Neiger, Hamid Rahkooy, Éric Schost:
Algorithms for Zero-Dimensional Ideals Using Linear Recurrent Sequences. CASC 2017: 313-328 - [c5]Vincent Neiger, Johan Rosenkilde, Éric Schost:
Fast Computation of the Roots of Polynomials Over the Ring of Power Series. ISSAC 2017: 349-356 - [c4]Vincent Neiger, Thi Xuan Vu:
Computing Canonical Bases of Modules of Univariate Relations. ISSAC 2017: 357-364 - 2016
- [c3]Claude-Pierre Jeannerod, Vincent Neiger, Éric Schost, Gilles Villard:
Fast Computation of Minimal Interpolation Bases in Popov Form for Arbitrary Shifts. ISSAC 2016: 295-302 - [c2]Vincent Neiger:
Fast Computation of Shifted Popov Forms of Polynomial Matrices via Systems of Modular Polynomial Equations. ISSAC 2016: 365-372 - 2012
- [c1]Vincent Neiger, Christophe Crespelle, Eric Fleury:
On the Structure of Changes in Dynamic Contact Networks. SITIS 2012: 731-738
Informal and Other Publications
- 2024
- [i29]Vincent Neiger, Clément Pernet, Gilles Villard:
Computing Krylov iterates in the time of matrix multiplication. CoRR abs/2402.07345 (2024) - [i28]Sriram Gopalakrishnan, Vincent Neiger, Mohab Safey El Din:
Optimized Gröbner basis algorithms for maximal determinantal ideals and critical point computations. CoRR abs/2402.07353 (2024) - 2023
- [i27]Alin Bostan, Vincent Neiger, Sergey Yurkevich:
Beating binary powering for polynomial matrices. CoRR abs/2302.04299 (2023) - [i26]Sriram Gopalakrishnan, Vincent Neiger, Mohab Safey El Din:
Refined $F_5$ Algorithms for Ideals of Minors of Square Matrices. CoRR abs/2302.05375 (2023) - [i25]Peter Beelen, Vincent Neiger:
Faster List Decoding of AG Codes. CoRR abs/2304.07083 (2023) - 2022
- [i24]Jérémy Berthomieu, Vincent Neiger, Mohab Safey El Din:
Faster change of order algorithm for Gröbner bases under shape and stability assumptions. CoRR abs/2202.09226 (2022) - [i23]George Labahn, Vincent Neiger, Thi Xuan Vu, Wei Zhou:
Rank-Sensitive Computation of the Rank Profile of a Polynomial Matrix. CoRR abs/2202.09329 (2022) - 2021
- [i22]Seung Gyu Hyun, Vincent Neiger, Éric Schost:
Algorithms for Linearly Recurrent Sequences of Truncated Polynomials. CoRR abs/2102.03583 (2021) - [i21]Vincent Neiger, Bruno Salvy, Éric Schost, Gilles Villard:
Faster Modular Composition. CoRR abs/2110.08354 (2021) - 2020
- [i20]Simone Naldi, Vincent Neiger:
A divide-and-conquer algorithm for computing Gröbner bases of syzygies in finite dimension. CoRR abs/2002.06404 (2020) - [i19]Vincent Neiger, Johan Rosenkilde, Grigory Solomatov:
Generic bivariate multi-point evaluation, interpolation and modular composition with precomputation. CoRR abs/2003.12468 (2020) - [i18]Vincent Neiger, Clément Pernet:
Deterministic computation of the characteristic polynomial in the time of matrix multiplication. CoRR abs/2010.04662 (2020) - 2019
- [i17]Seung Gyu Hyun, Vincent Neiger, Éric Schost:
Implementations of efficient univariate polynomial matrix algorithms and application to bivariate resultants. CoRR abs/1905.04356 (2019) - [i16]Magali Bardet, Pierre Briaud, Maxime Bros, Philippe Gaborit, Vincent Neiger, Olivier Ruatta, Jean-Pierre Tillich:
An Algebraic Attack on Rank Metric Code-Based Cryptosystems. CoRR abs/1910.00810 (2019) - [i15]Vincent Neiger, Éric Schost:
Computing syzygies in finite dimension using fast linear algebra. CoRR abs/1912.01848 (2019) - 2018
- [i14]Claude-Pierre Jeannerod, Vincent Neiger, Gilles Villard:
Fast computation of approximant bases in canonical form. CoRR abs/1801.04553 (2018) - [i13]Pascal Giorgi, Vincent Neiger:
Certification of minimal approximant bases. CoRR abs/1802.01920 (2018) - [i12]Vincent Neiger, Johan Rosenkilde, Grigory Solomatov:
Computing Popov and Hermite forms of rectangular polynomial matrices. CoRR abs/1802.01928 (2018) - [i11]David Lucas, Vincent Neiger, Clément Pernet, Daniel S. Roche, Johan Rosenkilde:
Interactive Certificates for Polynomial Matrices with Sub-Linear Communication. CoRR abs/1807.01272 (2018) - 2017
- [i10]Vincent Neiger, Thi Xuan Vu:
Computing Canonical Bases of Modules of Univariate Relations. CoRR abs/1705.10649 (2017) - [i9]Vincent Neiger, Johan Rosenkilde, Éric Schost:
Fast Computation of the Roots of Polynomials Over the Ring of Power Series. CoRR abs/1705.10658 (2017) - [i8]Elise Barelli, Peter Beelen, Mrinmoy Datta, Vincent Neiger, Johan Rosenkilde:
Two-Point Codes for the Generalized GK curve. CoRR abs/1706.00800 (2017) - [i7]Vincent Neiger, Hamid Rahkooy, Éric Schost:
Algorithms for zero-dimensional ideals using linear recurrent sequences. CoRR abs/1707.01971 (2017) - [i6]Seung Gyu Hyun, Vincent Neiger, Hamid Rahkooy, Éric Schost:
Block-Krylov techniques in the context of sparse-FGLM algorithms. CoRR abs/1712.04177 (2017) - 2016
- [i5]Claude-Pierre Jeannerod, Vincent Neiger, Éric Schost, Gilles Villard:
Fast computation of minimal interpolation bases in Popov form for arbitrary shifts. CoRR abs/1602.00651 (2016) - [i4]Vincent Neiger:
Fast computation of shifted Popov forms of polynomial matrices via systems of modular polynomial equations. CoRR abs/1602.00710 (2016) - [i3]George Labahn, Vincent Neiger, Wei Zhou:
Fast, deterministic computation of the Hermite normal form and determinant of a polynomial matrix. CoRR abs/1607.04176 (2016) - 2015
- [i2]Claude-Pierre Jeannerod, Vincent Neiger, Éric Schost, Gilles Villard:
Computing minimal interpolation bases. CoRR abs/1512.03503 (2015) - 2014
- [i1]Muhammad F. I. Chowdhury, Claude-Pierre Jeannerod, Vincent Neiger, Éric Schost, Gilles Villard:
Faster Algorithms for Multivariate Interpolation with Multiplicities and Simultaneous Polynomial Approximations. CoRR abs/1402.0643 (2014)
Coauthor Index
aka: Johan Rosenkilde
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