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hal-03082531v3  Preprints, Working Papers, ...
Lorenzo Baldi, Bernard Mourrain. Exact Moment Representation in Polynomial Optimization
2021
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inria-00166709v1  Journal articles
Olivier Devillers, Alexandra Fronville, Bernard Mourrain, Monique Teillaud. Algebraic methods and arithmetic filtering for exact predicates on circle arcs
Computational Geometry, Elsevier, 2002, 22, pp.119-142. ⟨10.1016/S0925-7721(01)00050-5⟩
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hal-01803571v1  Journal articles
Bernard Mourrain, Alessandro 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-03079910v1  Preprints, Working Papers, ...
Angelos Mantzaflaris, Bernard Mourrain, Agnes Szanto. A certified iterative method for isolated singular roots
2020
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hal-01940005v1  Journal articles
Enrique Arrondo, Alessandra Bernardi, Pedro Macias Marques, Bernard 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 Brachat, Paolo Lella, Bernard Mourrain, Margherita 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-00879100v2  Journal articles
Bernard Mourrain, Nelly Villamizar. Bounds on the dimension of trivariate spline spaces: A homological approach
Mathematics in Computer Science, Springer, 2014, 8 (2), pp.157-174. ⟨10.1007/s11786-014-0187-8⟩
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hal-00846977v4  Preprints, Working Papers, ...
Marta Abril Bucero, Bernard Mourrain. Exact relaxation for polynomial optimization on semi-algebraic sets
2014
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hal-00746967v2  Journal articles
Alessandra Bernardi, Jérôme Brachat, Bernard 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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hal-00922544v2  Journal articles
Gang Xu, Bernard Mourrain, André Galligo, Timon Rabczuk. High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods
Computational Mechanics, Springer Verlag, 2014, 54 (5), pp.1303-1313. ⟨10.1007/s00466-014-1060-y⟩
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inria-00096842v1  Journal articles
Laurent Busé, Mohamed Elkadi, Bernard 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 Bucero, Bernard 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 Christoforou, Angelos Mantzaflaris, Bernard Mourrain, Julien 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 Hoeven, Bernard 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. Emiris, Bernard Mourrain, Elias 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 Baldi, Bernard 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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hal-03390265v1  Preprints, Working Papers, ...
Rima Khouja, Bernard Mourrain, Jean-Claude Yakoubsohn. Newton-Type Methods For Simultaneous Matrix Diagonalization
2021
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inria-00193551v1  Book sections
Stefanie Hahmann, Alexander Belyaev, Laurent Busé, Gershon Elber, Bernard 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 Chèze, Jean-Claude Yakoubsohn, André Galligo, Bernard Mourrain. Computing Nearest Gcd with Certification
International Workshop Symbolic-Numeric Computation (SNC), Aug 2009, Kyoto, Japan. pp.29-34
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hal-00836413v1  Journal articles
Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo. Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method
Journal of Computational Physics, Elsevier, 2013, 252, pp.275-289. ⟨10.1016/j.jcp.2013.06.029⟩
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inria-00585663v2  Reports
Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo. Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method
[Research Report] 2011
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inria-00530758v2  Journal articles
Gang Xu, Bernard Mourrain, Régis Duvigneau, André 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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inria-00542271v1  Reports
Louis Blanchard, Régis Duvigneau, Gang Xu, Bernard Mourrain. Hierarchical Optimization in Isogeometric Analysis : Application to Thermal Conduction
[Research Report] RR-7470, INRIA. 2010
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hal-00714791v1  Reports
Louis Blanchard, Régis Duvigneau, Bernard Mourrain. Automated Generation of Geometric Models for a Bulbous Trawler Ship
[Research Report] RR-8011, INRIA. 2012
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hal-00685002v2  Journal articles
Gang Xu, Bernard Mourrain, Régis Duvigneau, André 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⟩
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inria-00539616v1  Journal articles
Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo. Optimal analysis-aware parameterization of computational domain in 3D isogeometric analysis
Computer-Aided Design, Elsevier, 2013, 45 (4), ⟨10.1016/j.cad.2011.05.007⟩
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inria-00440130v3  Conference papers
Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo. Optimal analysis-aware parameterization of computational domain in isogeometric analysis
GMP, Jun 2010, Castro Urdiales, Spain. pp.236-254
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hal-00742955v1  Journal articles
Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo. A New Error Assessment Method in Isogeometric Analysis of 2D Heat Conduction Problems
Advanced Science Letters, American Scientific Publishers, 2012, 10 (1), pp.508-512. ⟨10.1166/asl.2012.3321⟩