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hal-00739512v1  Journal articles
Bernard MourrainVictor Pan. Multivariate Polynomials, Duality, and Structured Matrices
Journal of Complexity, Elsevier, 2000, 16 (1), pp.110 - 180. ⟨10.1006/jcom.1999.0530⟩
inria-00070537v1  Conference papers
Bernard MourrainPhilippe Trebuchet. Generalized normal forms and polynomial system solving
ISSAC 2005 - International Symposium on Symbolic and Algebraic Computation , Jul 2005, Beijing, China. pp.253-260, ⟨10.1145/1073884.1073920⟩
hal-01356869v1  Conference papers
Philippe TrébuchetBernard MourrainMarta Abril Bucero. Border Basis for Polynomial System Solving and Optimization
ICMS 2016 - 5th International Conference on Mathematical Software, Jul 2016, Berlin, Germany. pp.212-220, ⟨10.1007/978-3-319-42432-3_27⟩
inria-00355713v2  Journal articles
Jérôme BrachatPierre ComonBernard MourrainElias Tsigaridas. Symmetric tensor decomposition
Linear Algebra and its Applications, Elsevier, 2010, 433 (11-12), pp.1851-1872. ⟨10.1016/j.laa.2010.06.046⟩
hal-00435908v1  Conference papers
Jérôme BrachatPierre ComonBernard MourrainElias Tsigaridas. Symmetric tensor decomposition
17th European Signal Processing Conference 2009., Aug 2009, Glasgow, United Kingdom. pp.525-529
hal-01179417v1  Conference papers
Olivier DevillersAlexandra FronvilleBernard MourrainMonique Teillaud. Algebraic methods and arithmetic filtering for exact predicates on circle arcs
Proceedings of the 16th Annual Symposium on Computational Geometry, 2000, Hong Kong, China. pp.139-147, ⟨10.1145/336154.336194⟩
hal-00873272v1  Conference papers
Louis BlanchardElisa BerriniRégis DuvigneauYann RouxBernard Mourrain et al.  Bulbous Bow Shape Optimization
5th International Conference on Computational Methods in Marine Engineering, May 2013, Hamburg, Germany
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⟩
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⟩
inria-00098681v1  Journal articles
Laurent BuséMohamed ElkadiBernard Mourrain. Using projection operators in computer aided geometric design
Contemporary mathematics, American Mathematical Society, 2003, 334, pp.321--342
inria-00170536v1  Books
Mohamed ElkadiBernard Mourrain. Introduction à la résolution des systèmes polynomiaux
Springer, 59, pp.307, 2007, Mathématiques et Applications, 978-3-540-71646-4
inria-00433141v1  Journal articles
Lionel AlbertiBernard MourrainJean-Pierre Técourt. Isotopic triangulation of a real algebraic surface
Journal of Symbolic Computation, Elsevier, 2009, 44 (9), pp.1291-1310. ⟨10.1016/j.jsc.2008.02.007⟩
inria-00170535v1  Directions of work or proceedings
Bernard MourrainIoannis Z. EmirisVictor Y. Pan. Special Issue on Algebraic and Numerical Algorithms
Emiris, I. and Mourrain, B. and Pan, Y. V. 315, Elsevier, pp.310, 2004
inria-00099487v1  Journal articles
Laurent BuséMohamed ElkadiBernard Mourrain. Resultant over the residual of a complete intersection
Journal of Pure and Applied Algebra, Elsevier, 2001, Effective methods in algebraic geometry (Bath, 2000), 164 (1-2), pp.35--57
hal-00646566v1  Conference papers
Madalina HodorogBernard MourrainJoseph Schicho. An Adapted Version of the Bentley-Ottmann Algorithm for Invariants of Plane Curves Singularities
11th International Conference on Computational Science and Its Applications (ICCSA), Jun 2011, Santander, Spain. pp.121-131, ⟨10.1007/978-3-642-21931-3_10⟩
inria-00071370v1  Conference papers
Ioannis Z. EmirisBernard MourrainElias Tsigaridas. Real Algebraic Numbers: Complexity Analysis and Experimentations
Reliable Implementations of Real Number Algorithms: Theory and Practice, 2008, Dagsthul, Germany. pp.57-82
inria-00542193v1  Conference papers
Mădălina HodorogBernard MourrainJosef Schicho. A Symbolic-Numeric Algorithm for Computing the Alexander Polynomial of a Plane Curve Singularity
International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), Sep 2010, Timisoara, Romania. pp.21-28