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hal-01250398v1  Pré-publication, Document de travail
Alessandra Bernardi, Noah S. Daleo, Jonathan D. Hauenstein, Bernard Mourrain. Tensor decomposition and homotopy continuation
2016
inria-00175688v1  Chapitre d'ouvrage
Marc-André Delsuc, Thérèse Malliavin, Antoine Marin, Bernard Mourrain. Biologie Moléculaire Structurale et Géométrie
Yves Gautier. La Science au Présent, Encyclopaedia Universalis, pp.128-131, 2007, 2-85229-514-8
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inria-00175062v1  Communication dans un congrès
Lionel Alberti, Bernard Mourrain. Visualisation of implicit algebraic curves
Marc, Alexa and Steven, Gortler and Tao, Ju. Pacific Conference on Computer Graphics and Applications 2007, Oct 2007, Lahaina, Maui, Hawaii, United States. IEEE Computer Society, pp.303-312, 2007, Pacific Conference on Computer Graphics and Applications
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inria-00433127v2  Pré-publication, Document de travail
Mariemi Alonso, Jérome Brachat, Bernard Mourrain. The Hilbert scheme of points and its link with border basis
2010
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inria-00125278v1  Article dans une revue
Bernard Mourrain. Isolated points, duality and residues
J. of Pure and Applied Algebra, Elsevier, 1996, 117&118, pp.469--493
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hal-00876557v1  Article dans une revue
Dmitry Berdinsky, Taiwan Kim, Cesare Bracco, Durkbin Cho, Bernard Mourrain et al.  Dimensions and bases of hierarchical tensor-product splines
Journal of Computational and Applied Mathematics, Elsevier, 2014, 257, pp.86-104. <10.1016/j.cam.2013.08.019>
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hal-01158099v3  Article dans une revue
Marta Abril Bucero, Chandrajit Bajaj, Bernard Mourrain. On the construction of general cubature formula by flat extensions
Linear Algebra and its Applications, Elsevier, 2016, 502, pp.104-125. <10.1016/j.laa.2015.09.052>
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hal-00780556v1  Article dans une revue
Houssam Khalil, Bernard Mourrain, Michelle Schatzman. Superfast solution of Toeplitz systems based on syzygy reduction
Linear Algebra and its Applications, Elsevier, 2013, 438 (9), pp.3563-3575. <10.1016/j.laa.2013.01.015>
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hal-00742636v1  Article dans une revue
Bernard Mourrain, Nelly Villamizar. Homological techniques for the analysis of the dimension of triangular spline spaces
Journal of Symbolic Computation, Elsevier, 2013, 50, pp.564-577. <10.1016/j.jsc.2012.10.002>
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hal-00421214v1  Article dans une revue
Daouda Diatta, Bernard Mourrain, Olivier Ruatta. On the isotopic meshing of an algebraic implicit surface
Journal of Symbolic Computation, Elsevier, 2012, 47 (8), pp.903-925. <10.1016/j.jsc.2011.09.010>
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hal-00981546v3  Article dans une revue
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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inria-00354120v1  Article dans une revue
Itnuit Janovitz-Freireich, Bernard Mourrain, Lajos Ronayi, Agnes Szanto. On the Computation of Matrices of Traces and Radicals of Ideals
Journal of Symbolic Computation, Elsevier, 2012, 47 (1), pp.102-122. <10.1016/j.jsc.2011.08.020>
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inria-00096842v1  Article dans une revue
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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inria-00590965v3  Article dans une revue
Alessandra Bernardi, Jerome Brachat, Pierre Comon, Bernard Mourrain. General Tensor Decomposition, Moment Matrices and Applications
Journal of Symbolic Computation, Elsevier, 2013, 52 (May), pp.51-71. <10.1016/j.jsc.2012.05.012>
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hal-00746967v2  Article dans une revue
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-00952455v1  Pré-publication, Document de travail
Meng Wu, Bernard Mourrain, André Galligo, Boniface Nkonga. Spline Spaces over Quadrangle Meshes with Complex Topologies
2014
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hal-00366292v1  Communication dans un congrès
Houssam Khalil, Bernard Mourrain, Michelle Schatzman. Toeplitz and Toeplitz-block-Toeplitz matrices and their correlation with syzygies of polynomials.
Vadim Olshevsky & Eugene Tyrtyshnikov. international seminar matrix methods and operator equations (MM&OE), Jul 2007, Moscou, Russia. pp.296-312, 2008
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inria-00100288v1  Communication dans un congrès
Laurent Busé, Houssam Khalil, Bernard Mourrain. Resultant-based methods for plane curves intersection problems
Ganzha, Victor G.; Mayr, Ernst W.; Vorozhtsov, Evgenii V. Computer Algebra in Scientific Computing (CASC), Sep 2005, Kalamata, Greece, Springer Berlin / Heidelberg, 3718, pp.75-92, 2005, Lecture Notes in Computer Science; Computer Algebra in Scientific Computing
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hal-00218271v1  Communication dans un congrès
Daouda Diatta, Bernard Mourrain, Olivier Ruatta. On the Computation of the Topology of a Non-Reduced Implicit Space Curve
J. Rafael Sendra, Loreano Gonzalez-Vega. ISSAC, Jul 2008, Linz, Austria. ACM, pp.47-54, 2008, <10.1145/1390768.1390778>
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hal-00779666v3  Pré-publication, Document de travail
Marta Abril Bucero, Bernard Mourrain, Philippe Trébuchet. Unconstraint global polynomial optimization via Gradient Ideal
2013
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hal-00846977v4  Pré-publication, Document de travail
Marta Abril Bucero, Bernard Mourrain. Exact relaxation for polynomial optimization on semi-algebraic sets
2014
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inria-00098681v1  Article dans une revue
Laurent Busé, Mohamed Elkadi, Bernard Mourrain. Using projection operators in computer aided geometric design
Comtemporary Mathematics, American Mathematical Society, 2003, 334, pp.321--342
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inria-00589062v1  Article dans une revue
Guillaume Chèze, André Galligo, Bernard Mourrain, Jean-Claude Yakoubsohn. A Subdivision Method for Computing Nearest Gcd with Certification
Theoretical Computer Science, Elsevier, 2011, 412 (35), pp.4493-4503. <10.1016/j.tcs.2011.04.018>
hal-00816528v1  Article dans une revue
Jerome Brachat, Paolo Lella, Bernard Mourrain, Margherita Roggero. Extensors and the Hilbert scheme
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2014, pp. 23. <10.2422/2036-2145.201407_003 >
inria-00558470v1  Direction d'ouvrage, Proceedings
D'Andrea Carlos, Bernard Mourrain. Special Issue on Symbolic and Algebraic Computation
C. D'andrea & B. Mourrain. 44, Elsevier, pp.135, 2008, 7, <10.1016/j.jsc.2008.07.005>
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hal-01440063v1  Article dans une revue
Jouhayna Harmouch, Houssam Khalil, Bernard Mourrain. Structured low rank decomposition of multivariate Hankel matrices
Linear Algebra and Applications, Elsevier - Academic Press, 2017, <10.1016/j.laa.2017.04.015>
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hal-01515366v1  Pré-publication, Document de travail
Bernard Mourrain. Fast algorithm for border bases of Artinian Gorenstein algebras
2017
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hal-01356869v1  Communication dans un congrès
Philippe Trébuchet, Bernard Mourrain, Marta Abril Bucero. Border Basis for Polynomial System Solving and Optimization
Gert-Martin Greuel; Thorsten Koch; Peter Paule; Andrew Sommese ICMS 2016 - 5th International Conference on Mathematical Software, Jul 2016, Berlin, Germany. Springer, LNCS, 9725, pp.212-220, 2016, Mathematical Software - ICMS 2016. <10.1007/978-3-319-42432-3_27>
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hal-01367730v2  Pré-publication, Document de travail
Bernard Mourrain. Polynomial-exponential decomposition from moments
2016
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hal-01373867v1  Communication dans un congrès
Elisa Berrini, Bernard Mourrain, Yann Roux, Guillaume Fontaine, Eric Jean. Parametric shape modeler for hulls and appendages
Volker Bertram. COMPIT'16, May 2016, Lecce, Italy. 15, pp.255-263, 2016, 15th International Conference on Computer and IT Applications in the Maritime Industries COMPIT'16. <http://data.hiper-conf.info/compit2016_lecce.pdf>
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