Chargé de recherche MAGRON Victor
Team : PolSys
Invited by : Jean-Charles FAUGÈRE
Arrival date : 09/01/2017
Departure date : 09/30/2017
2018-2023 Publications
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2023
- V. Magron, M. Safey El Din, T.‑H. VU : “Sum of Squares Decompositions of Polynomials over their Gradient Ideals with Rational Coefficients”, SIAM Journal on Optimization, vol. 33 (1), (Society for Industrial and Applied Mathematics) (2023)
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2022
- V. Magron, M. Safey El Din, M. Schweighofer, T. Vu : “Exact SOHS Decompositions of Trigonometric Univariate Polynomials with Gaussian Coefficients”, International Symposium on Symbolic and Algebraic Computation (ISSAC), Lille, France (2022)
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2021
- V. Magron, M. Safey El Din : “On Exact Reznick, Hilbert-Artin and Putinar’s Representations”, Journal of Symbolic Computation, vol. 107, pp. 221-250, (Elsevier) (2021)
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2019
- V. Magron, M. Forets, D. Henrion : “Semidefinite Approximations of Invariant Measures for Polynomial Systems”, Discrete and Continuous Dynamical Systems - Series B, vol. 24 (12), pp. 6745-6770, (American Institute of Mathematical Sciences) (2019)
- V. Magron, M. Safey El Din, M. Schweighofer : “Algorithms for Weighted Sums of Squares Decomposition of Non-negative Univariate Polynomials”, Journal of Symbolic Computation, vol. 93, pp. 200-220, (Elsevier) (2019)
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2018
- J.‑B. Lasserre, V. Magron : “Optimal data fitting: a moment approach”, SIAM Journal on Optimization, vol. 28 (4), pp. 3127-3144, (Society for Industrial and Applied Mathematics) (2018)
- V. Magron : “Interval Enclosures of Upper Bounds of Roundoff Errors using Semidefinite Programming”, ACM Transactions on Mathematical Software, vol. 44 (4), pp. 41:1-41:18, (Association for Computing Machinery) (2018)
- V. Magron, M. Safey El Din : “RealCertify: a Maple package for certifying non-negativity”, ACM Communications in Computer Algebra, vol. 52 (2), pp. 34-37, (Association for Computing Machinery (ACM)) (2018)
- V. Magron, A. Rocca, Th. Dang : “Certified Roundoff Error Bounds using Bernstein Expansions and Sparse Krivine-Stengle Representations”, IEEE Transactions on Computers, (Institute of Electrical and Electronics Engineers) (2018)
- V. Magron, M. Safey El Din : “On Exact Polya and Putinar’s Representations”, Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation, New-York, United States, pp. 279-286, (ACM) (2018)