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hal-01803571v1  Journal articles
Bernard MourrainAlessandro Oneto. On minimal decompositions of low rank symmetric tensors
Linear Algebra and its Applications, Elsevier, 2020, 607, pp.347-377. ⟨10.1016/j.laa.2020.06.029⟩
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hal-01940005v1  Journal articles
Enrique ArrondoAlessandra BernardiPedro Macias MarquesBernard Mourrain. Skew-Symmetric Tensor Decomposition
Communications in Contemporary Mathematics, World Scientific Publishing, 2019, 23 (02), pp.1950061. ⟨10.1142/S0219199719500615⟩
hal-00816528v1  Journal articles
Jerome BrachatPaolo LellaBernard MourrainMargherita Roggero. Extensors and the Hilbert scheme
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Scuola Normale Superiore 2014, pp. 23. ⟨10.2422/2036-2145.201407_003⟩
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inria-00533187v3  Journal articles
Bernard Mourrain. On the dimension of spline spaces on planar T-meshes
Mathematics of Computation, American Mathematical Society, 2014, 83, pp.847-871
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hal-00746967v2  Journal articles
Alessandra BernardiJérôme BrachatBernard Mourrain. A comparison of different notions of ranks of symmetric tensors
Linear Algebra and its Applications, Elsevier, 2014, 460, pp.205-230
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inria-00096842v1  Journal articles
Laurent BuséMohamed ElkadiBernard Mourrain. Generalized resultants over unirational algebraic varieties
Journal of Symbolic Computation, Elsevier, 2000, J. Symbolic Comput., 29 (4-5), pp.515--526
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hal-00981546v3  Journal articles
Marta Abril BuceroBernard Mourrain. Border Basis relaxation for polynomial optimization
Journal of Symbolic Computation, Elsevier, 2015, 74, pp.378-399. ⟨10.1016/j.jsc.2015.08.004⟩
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hal-01848546v1  Conference papers
Emmanouil ChristoforouAngelos MantzaflarisBernard MourrainJulien Wintz. Axl, a geometric modeler for semi-algebraic shapes
ICMS 2018 - 6th International Conference on Mathematical Software, Jul 2018, Notre Dame, United States. pp.128-136, ⟨10.1007/978-3-319-96418-8_16⟩
hal-02350517v1  Book sections
Joris van der HoevenBernard Mourrain. Efficient Certification of Numeric Solutions to Eigenproblems
Mathematical Aspects of Computer and Information Sciences, pp.81-94, 2017, ⟨10.1007/978-3-319-72453-9_6⟩
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hal-01105276v5  Journal articles
Ioannis Z. EmirisBernard MourrainElias Tsigaridas. Separation bounds for polynomial systems
Journal of Symbolic Computation, Elsevier, 2020, 101, pp.128-151. ⟨10.1016/j.jsc.2019.07.001⟩
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hal-03145501v2  Conference papers
Lorenzo BaldiBernard Mourrain. Computing real radicals by moment optimization
ISSAC 2021 - 46th International Symposium on Symbolic and Algebraic Computation, Jul 2021, Saint-Pétersbourg, Russia. ⟨10.1145/3452143.3465541⟩
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inria-00193551v1  Book sections
Stefanie HahmannAlexander BelyaevLaurent BuséGershon ElberBernard Mourrain et al.  Shape Interrogation
Leila De Floriani, Michela Spagnuolo. Shape Analysis and Structuring, Springer, pp.1-51, 2008, Mathematics and Visualization, 978-3-540-33265-7. ⟨10.1007/978-3-540-33265-7_1⟩
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inria-00437559v1  Conference papers
Guillaume ChèzeJean-Claude YakoubsohnAndré GalligoBernard Mourrain. Computing Nearest Gcd with Certification
International Workshop Symbolic-Numeric Computation (SNC), Aug 2009, Kyoto, Japan. pp.29-34
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inria-00530758v2  Journal articles
Gang XuBernard MourrainRégis DuvigneauAndré Galligo. Parametrization of computational domain in isogeometric analysis: methods and comparison
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2011, 200 (23-24), pp.2021-2031. ⟨10.1016/j.cma.2011.03.005⟩
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hal-00685002v2  Journal articles
Gang XuBernard MourrainRégis DuvigneauAndré Galligo. Analysis-suitable volume parameterization of multi-block computational domain in isogeometric applications
Computer-Aided Design, Elsevier, 2013, Special Issue on Solid and Physical Modeling 2012, 45 (2), pp.395-404. ⟨10.1016/j.cad.2012.10.022⟩