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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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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
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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-00344404v1  Directions of work or proceedings
Laurent BuséMohamed ElkadiBernard Mourrain. Computational Algebraic Geometry and its Applications
Laurent Busé, Mohamed Elkadi, Bernard Mourrain. 392, Elsevier, pp.178, 2008, Theoretical Computer Sciences
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hal-00780556v1  Journal articles
Houssam KhalilBernard MourrainMichelle 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-00366292v1  Conference papers
Houssam KhalilBernard MourrainMichelle Schatzman. Toeplitz and Toeplitz-block-Toeplitz matrices and their correlation with syzygies of polynomials.
international seminar matrix methods and operator equations (MM&OE), Jul 2007, Moscou, Russia. pp.296-312
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hal-01009909v1  Journal articles
Bernard MourrainKonrad Schmüdgen. Flat extensions in ∗-algebras
Proceedings of the American Mathematical Society, American Mathematical Society, 2016, 144 (11), pp.4873-4885. ⟨10.1090/proc/13158⟩
hal-00739512v1  Journal articles
Bernard MourrainVictor y. Pan. Multivariate Polynomials, Duality, and Structured Matrices
Journal of Complexity, Elsevier, 2000, 16 (1), pp.110 - 180. ⟨10.1006/jcom.1999.0530⟩
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inria-00130216v1  Book sections
Chen LiangBernard MourrainJean-Pascal Pavone. Subdivision Methods for the Topology of 2d and 3d Implicit Curves
Bert Juetller and Ragni Piene. Geometric Modeling and Algebraic Geometry, Springer, pp.199-214, 2007, 978-3-540-72184-0
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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⟩
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inria-00090648v1  Journal articles
Olivier DevillersBernard MourrainFranco P. PreparataPhilippe Trebuchet. Circular Cylinders by Four or Five Points in Space
Discrete and Computational Geometry, Springer Verlag, 2002, 29 (1), pp.83--104. ⟨10.1007/s00454-002-2811-7⟩
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inria-00070350v1  Journal articles
Bernard MourrainJean-Pascal Pavone. Subdivision methods for solving polynomial equations
Journal of Symbolic Computation, Elsevier, 2009, 44 (3), pp.292-306
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inria-00137424v1  Book sections
Bernard Mourrain. Pythagore's Dilemma, Symbolic-Numeric Computation, and the Border Basis Method
Dongming Wang and Lihong Zhi. Symbolic-Numeric Computation, Birkhauser, pp.223--243, 2007, Trends in Mathematics
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inria-00071370v1  Conference papers
Ioannis Z. EmirisBernard MourrainElias P. P. Tsigaridas. Real Algebraic Numbers: Complexity Analysis and Experimentations
Reliable Implementations of Real Number Algorithms: Theory and Practice, 2008, Dagsthul, Germany. pp.57-82
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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
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inria-00119287v2  Journal articles
Laurent BuséBernard Mourrain. Explicit factors of some iterated resultants and discriminants
Mathematics of Computation, American Mathematical Society, 2009, 78 (265), pp.345--386