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Fabrice Rouillier

107
Documents

Présentation

![](https://who.rocq.inria.fr/Fabrice.Rouillier/images/fabrice.jpg) **Fabrice Rouillier** Research Director ![](https://who.rocq.inria.fr/Fabrice.Rouillier/images/inria.png) INRIA Paris research center Address Institut de Mathématiques de Jussieu Université Pierre et Marie Curie Paris VI 4, place Jussieu, F-75005 Paris. Office 15-25 503 Phone (+33) 6 73 19 35 15 E-mail Fabrice.Rouillier \[at\] inria.fr Research interests Polynomial System Solving, Real Algebraic Geometry, Computational Geometry, Topology, and Applications. Keywords Zero-dimensional systems, Parametric Systems, Real Roots Classification(s), Exact Computations, Software, Robotics, Signal Processing.

Publications

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On the Certification of the Kinematics of 3-DOF Spherical Parallel Manipulators

Alexandre Lê , Damien Chablat , Guillaume Rance , Fabrice Rouillier
Maple Transactions, 2023, 3 (2), ⟨10.5206/mt.v3i2.15660⟩
Article dans une revue hal-04189637v1

Bounds for polynomials on algebraic numbers and application to curve topology

Daouda Niang Diatta , Sény Diatta , Fabrice Rouillier , Marie-Françoise Roy , Michael Sagraloff
Discrete and Computational Geometry, 2022, 67, pp.631-697. ⟨10.1007/s00454-021-00353-w⟩
Article dans une revue hal-01891417v1
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PTOPO: Computing the Geometry and the Topology of Parametric Curves

Christina Katsamaki , Fabrice Rouillier , Elias Tsigaridas , Zafeirakis Zafeirakopoulos
Journal of Symbolic Computation, 2022, ⟨10.1016/j.jsc.2022.08.012⟩
Article dans une revue hal-03090184v3
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Computation of the $\mathcal{L} \infty$ -norm of finite-dimensional linear systems

Yacine Bouzidi , Alban Quadrat , Fabrice Rouillier , Grace Younes
Communications in Computer and Information Science, 2021
Article dans une revue hal-03328685v1
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PTOPO: A Maple package for the topology of parametric curves

Christina Katsamaki , Fabrice Rouillier , Elias Tsigaridas , Zafeirakis Zafeirakopoulos
ACM Communications in Computer Algebra, 2020, 54 (2), pp.49-52. ⟨10.1145/3427218.3427223⟩
Article dans une revue hal-02953909v1
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Certified Non-conservative Tests for the Structural Stability of Discrete Multidimensional Systems

Yacine Mohamed Bouzidi , Alban Quadrat , Fabrice Rouillier
Multidimensional Systems and Signal Processing, 2019, 30 (3), pp.31. ⟨10.1007/s11045-018-0596-y⟩
Article dans une revue hal-01951765v1
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Computing Chebyshev knot diagrams

Pierre-Vincent Koseleff , Daniel Pecker , Fabrice Rouillier , Cuong Tran
Journal of Symbolic Computation, 2018, 86, pp.21. ⟨10.1016/j.jsc.2017.04.001⟩
Article dans une revue hal-01232181v2
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Workspace, Joint space and Singularities of a family of Delta-Like Robot

Ranjan Jha , Damien Chablat , Luc Baron , Fabrice Rouillier , Guillaume Moroz
Mechanism and Machine Theory, 2018, 127, pp.73-95. ⟨10.1016/j.mechmachtheory.2018.05.004⟩
Article dans une revue hal-01796066v1
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Bivariate triangular decompositions in the presence of asymptotes

Sylvain Lazard , Marc Pouget , Fabrice Rouillier
Journal of Symbolic Computation, 2017, 82, pp.123 - 133. ⟨10.1016/j.jsc.2017.01.004⟩
Article dans une revue hal-01468796v1
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Solving bivariate systems using Rational Univariate Representations

Yacine Bouzidi , Sylvain Lazard , Guillaume Moroz , Marc Pouget , Fabrice Rouillier
Journal of Complexity, 2016, 37, pp.34--75. ⟨10.1016/j.jco.2016.07.002⟩
Article dans une revue hal-01342211v2

Character Varieties For SL(3,C): The Figure Eight Knot

Elisha Falbel , Antonin Guilloux , Pierre-Vincent Koseleff , Fabrice Rouillier , Morwen Thistlethwaite
Experimental Mathematics, 2016, 25 (2), pp.17. ⟨10.1080/10586458.2015.1068249⟩
Article dans une revue hal-01362208v1

Representations of fundamental groups of 3-manifolds into PGL(3,C): Exact computations in low complexity

Elisha Falbel , Pierre-Vincent Koseleff , Fabrice Rouillier
Geometriae Dedicata, 2015, 177 (1), pp.52. ⟨10.1007/s10711-014-9987-x⟩
Article dans une revue hal-00908843v1
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Separating linear forms and Rational Univariate Representations of bivariate systems

Yacine Bouzidi , Sylvain Lazard , Marc Pouget , Fabrice Rouillier
Journal of Symbolic Computation, 2015, 68, pp.84-119. ⟨10.1016/j.jsc.2014.08.009⟩
Article dans une revue hal-00977671v1
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Local rigidity for SL (3,C) representations of 3-manifolds groups

Nicolas Bergeron , Antonin Guilloux , Elisha Falbel , Pierre-Vincent Koseleff , Fabrice Rouillier
Experimental Mathematics, 2013, 22 (4), pp.10. ⟨10.1080/10586458.2013.832441⟩
Article dans une revue hal-00803837v1
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Cusp Points in the Parameter Space of Degenerate 3-RPR Planar Parallel Manipulators

Montserrat Manubens , Guillaume Moroz , Damien Chablat , Philippe Wenger , Fabrice Rouillier
Journal of Mechanisms and Robotics, 2012, pp.1-10
Article dans une revue hal-00690975v1
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On the topology of real algebraic plane curves

Jinsan Cheng , Sylvain Lazard , Luis Mariano Peñaranda , Marc Pouget , Fabrice Rouillier
Mathematics in Computer Science, 2010, 4 (1), pp.113-137. ⟨10.1007/s11786-010-0044-3⟩
Article dans une revue inria-00517175v1
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The first rational Chebyshev knots

Pierre-Vincent Koseleff , Daniel Pecker , Fabrice Rouillier
Journal of Symbolic Computation, 2010, 45 (12), pp.1341-1358. ⟨10.1016/j.jsc.2010.06.014⟩
Article dans une revue hal-00429510v1
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On the determination of cusp points of 3-R\underline{P}R parallel manipulators

Guillaume Moroz , Fabrice Rouillier , Damien Chablat , Philippe Wenger
Mechanism and Machine Theory, 2010, 45 (11), pp.1555-1567. ⟨10.1016/j.mechmachtheory.2010.06.016⟩
Article dans une revue hal-00545502v1

Using computer algebra to certify the global convergence of a numerical optimization process

Gu Nong , Daniel Lazard , Fabrice Rouillier , Xiang Yong
Mathematics in Computer Science, 2007, 1 (2), pp.291-304. ⟨10.1007/s11786-007-0021-7⟩
Article dans une revue hal-01148502v1

Solving parametric polynomial systems

Daniel Lazard , Fabrice Rouillier
Journal of Symbolic Computation, 2007, 42 (6), pp.636-667. ⟨10.1016/j.jsc.2007.01.007⟩
Article dans une revue hal-01148721v1

Comments on A blind Signal Separation Method for Multiuser Communications

Gu Nong , Xiang Yong , Fabrice Rouillier , Zhiqiang Cao
IEEE Transactions on Signal Processing, 2007, 55 (5), pp.2355-2356. ⟨10.1109/tsp.2007.892716⟩
Article dans une revue hal-01148706v1
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Exhaustive approach to the coupling matrix synthesis problem and application to the design of high degree asymmetric filters

Richard J. Cameron , Jean-Charles Faugère , Fabrice Rouillier , Fabien Seyfert
International Journal of RF and Microwave Computer-Aided Engineering, 2007, 17 (1), pp.4--12. ⟨10.1002/mmce.20190⟩
Article dans une revue hal-00663777v1
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The implicit structure of ridges of a smooth parametric surface

Frédéric Cazals , Jean-Charles Faugère , Marc Pouget , Fabrice Rouillier
Computer Aided Geometric Design, 2006, 23 (7), pp.582-598. ⟨10.1016/j.cagd.2006.04.002⟩
Article dans une revue inria-00097581v1

Motivations for an arbitrary precision interval arithmetic and the MPFI library

Nathalie Revol , Fabrice Rouillier
Reliable Computing, 2005, 11 (4), pp.275-290. ⟨10.1007/s11155-005-6891-y⟩
Article dans une revue inria-00544998v1

Efficient isolation of polynomial's real roots

Fabrice Rouillier , Paul Zimmermann
Journal of Computational and Applied Mathematics, 2004, 162 (1), pp.33-50. ⟨10.1016/j.cam.2003.08.015⟩
Article dans une revue inria-00099941v1

Real solving for positive dimensional systems

Philippe Aubry , Fabrice Rouillier , Mohab Safey El Din
Journal of Symbolic Computation, 2002, 34 (6), pp.543-560. ⟨10.1006/jsco.2002.0563⟩
Article dans une revue inria-00100982v1

Finding at least one point in each connected component of a real algebraic set defined by a single equation

Fabrice Rouillier , Marie-Françoise Roy , Mohab Safey El Din
Journal of Complexity, 2000, 16 (4), pp.716-750. ⟨10.1006/jcom.2000.0563⟩
Article dans une revue inria-00099275v1

Solving Zero-Dimensional Systems through the Rational Univariate Representation

Fabrice Rouillier
Applicable Algebra in Engineering, Communication and Computing, 1999, 9 (5), pp.433-461. ⟨10.1007/s002000050114⟩
Article dans une revue inria-00098872v1

Design of regular nonseparable bidimensional wavelets using Grobner basis techniques

Jean-Charles Faugère , Francois Moreau de Saint Martin , Fabrice Rouillier
IEEE Transactions on Signal Processing, 1998, 46 (4), pp.845-856. ⟨10.1109/78.668541⟩
Article dans une revue inria-00098579v1

Des formules de Bareiss à la réduction des formes quadratiques

Fabrice Rouillier
Notes aux comptes rendus de l'académie des sciences, 1995, 320, pp.1273-1278
Article dans une revue hal-01434771v1
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Inertial line-of-sight stabilization using a 3-dof spherical parallel manipulator with coaxial input shafts

Alexandre Lê , Guillaume Rance , Fabrice Rouillier , Damien Chablat
OPTRO2024 - 11th International Symposium on Optronics in defence & security, Jan 2024, Bordeaux, France
Communication dans un congrès hal-04483255v1
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On Isolating Roots in a Multiple Field Extension

Christina Katsamaki , Fabrice Rouillier
ISSAC '23: 2023 International Symposium on Symbolic and Algebraic Computation, Jul 2023, Tromso, Norway. pp.363-371, ⟨10.1145/3597066.3597107⟩
Communication dans un congrès hal-04116621v1
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On the Geometry and the Topology of Parametric Curves

Christina Katsamaki , Fabrice Rouillier , Elias Tsigaridas , Zafeirakis Zafeirakopoulos
ISSAC 2020 - International Symposium on Symbolic and Algebraic Computation, Jul 2020, Kalamata / Virtual, Greece
Communication dans un congrès hal-02573423v2

Computation of the $\mathcal{L}_{\infty}$-norm of finite-dimensional linear systems

Yacine Bouzidi , Alban Quadrat , Fabrice Rouillier , Grace Younes
Maple Conference, Nov 2020, Waterloo, Canada
Communication dans un congrès hal-03073801v1
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On the effective computation of stabilizing controllers of 2D systems

Yacine Bouzidi , Thomas Cluzeau , Alban Quadrat , Fabrice Rouillier
Maple Conference, Oct 2019, Waterloo, Canada. pp.19, ⟨10.1007/978-3-030-41258-6_3⟩
Communication dans un congrès hal-02419719v1

Explicit H∞ controllers for 4th order single-input single-output systems with parameters and their applications to the two mass-spring system with damping

Guillaume Rance , Yacine Bouzidi , Alban Quadrat , Arnaud Quadrat , Fabrice Rouillier
IFAC 2017 Workshop Congress , Jul 2017, Toulouse, France
Communication dans un congrès hal-01667368v1
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Certified Algorithms for proving the structural stability of two dimensional systems possibly with parameters

Yacine Bouzidi , Fabrice Rouillier
MNTS 2016 - 22nd International Symposium on Mathematical Theory of Networks and Systems, Jul 2016, Minneapolis, United States
Communication dans un congrès hal-01366202v1

Foreword of MEGA 2015

Jan Draisma , Giorgio Ottaviani , Fabrice Rouillier
MEGA'2015 (Special Issue), Jun 2016, Trento, Italy
Communication dans un congrès hal-01351031v1

Computing Real Roots of Real Polynomials ... and now For Real!

Alexander Kobel , Fabrice Rouillier , Michael Sagraloff
ISSAC '16 Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, Jul 2016, Waterloo, Canada. pp.7, ⟨10.1145/2930889.2930937⟩
Communication dans un congrès hal-01363955v1
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Influence of the trajectory planning on the accuracy of the orthoglide 5-axis

Ranjan Jha , Damien Chablat , Fabrice Rouillier , Guillaume Moroz
ASME International Design Engineering Technical Conference and the Computer and Information in Engineering Conference (IDETC/CIE), Aug 2016, Charlotte, NC, United States
Communication dans un congrès hal-01309190v1
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An algebraic method to check the singularity-free paths for parallel robots

Ranjan Jha , Damien Chablat , Fabrice Rouillier , Guillaume Moroz
International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, ASME, Aug 2015, Boston, United States
Communication dans un congrès hal-01142989v1
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Workspace and Singularity analysis of a Delta like family robot

Ranjan Jha , Damien Chablat , Fabrice Rouillier , Guillaume Moroz
4th IFTOMM International Symposium on Robotics and Mechatronics, Jun 2015, Poitiers, France
Communication dans un congrès hal-01142465v1

On the sign of a trigonometric expression

Pierre-Vincent Koseleff , Fabrice Rouillier , Cuong Tran
ISSAC ' 15, Jul 2015, Bath, United Kingdom. ⟨10.1145/2755996.2756664⟩
Communication dans un congrès hal-01200820v1

Computer algebra methods for testing the structural stability of multidimensional systems

Youcef Bouzidi , Alban Quadrat , Fabrice Rouillier
IEEE 9th International Workshop on Multidimensional (nD) Systems, Sep 2015, Vila Real, Portugal. ⟨10.1109/nds.2015.7332633⟩
Communication dans un congrès hal-01259968v1
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Workspace and joint space analysis of the 3-RPS parallel robot

Damien Chablat , Ranjan Jha , Fabrice Rouillier , Guillaume Moroz
ASME 2013 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Aug 2014, Buffalo, United States. pp.1-10
Communication dans un congrès hal-01006614v1
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On the computation of the topology of plane curves

Daouda Niang Diatta , Fabrice Rouillier , Marie-Françoise Roy
International Symposium on Symbolic and Algebraic Computation, Kobe University, Jul 2014, Kobe, Japan. pp.130-137, ⟨10.1145/2608628.2608670⟩
Communication dans un congrès hal-00935728v2
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Improved algorithm for computing separating linear forms for bivariate systems

Yacine Bouzidi , Sylvain Lazard , Guillaume Moroz , Marc Pouget , Fabrice Rouillier
ISSAC - 39th International Symposium on Symbolic and Algebraic Computation, Jul 2014, Kobe, Japan
Communication dans un congrès hal-00992634v1
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Separating Linear Forms for Bivariate Systems

Yacine Bouzidi , Sylvain Lazard , Marc Pouget , Fabrice Rouillier
ISSAC - 38th International Symposium on Symbolic and Algebraic Computation, Jun 2013, Boston, United States. pp.117-124
Communication dans un congrès hal-00809425v1
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Rational Univariate Representations of Bivariate Systems and Applications

Yacine Bouzidi , Sylvain Lazard , Marc Pouget , Fabrice Rouillier
ISSAC - 38th International Symposium on Symbolic and Algebraic Computation, Jun 2013, Boston, United States. pp.109-116
Communication dans un congrès hal-00809430v1

Computing Chebyshev knots diagrams

P-V. Koseleff , D. Pecker , Fabrice Rouillier
MEGA 11, 2011, Unknown, Unknown Region
Communication dans un congrès hal-01434749v1
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New bivariate system solver and topology of algebraic curves

Yacine Bouzidi , Sylvain Lazard , Marc Pouget , Fabrice Rouillier
27th European Workshop on Computational Geometry - EuroCG 2011, Mar 2011, Morschach, Switzerland
Communication dans un congrès inria-00580431v1

On Solving Systems of Bivariate Polynomials

Fabrice Rouillier
Mathematical Software - ICMS 2010, Sep 2010, Kobe, Japan. pp.100-104, ⟨10.1007/978-3-642-15582-6_21⟩
Communication dans un congrès hal-01110516v1
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Cusp points in the parameter space of RPR-2PRR parallel manipulators

Guillaume Moroz , Damien Chablat , Philippe Wenger , Fabrice Rouillier
3rd European Conference on Mechanism Science : EUCOMES 2010, Sep 2010, Cluj-Napoca, Romania. pp.29-37, ⟨10.1007/978-90-481-9689-0_4⟩
Communication dans un congrès hal-00545445v1

On Using Triangular Decomposition for Solving Parametric Polynomial Systems

Fabrice Rouillier , Rong Xiao
MACIS'09, Dec 2009, Fukuoka, Japan. pp.1--1
Communication dans un congrès hal-01298886v1
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On the topology of planar algebraic curves

Jinsan Cheng , Sylvain Lazard , Luis Mariano Peñaranda , Marc Pouget , Fabrice Rouillier
25th annual symposium on Computational geometry - SCG 2009, Jun 2009, Aarhus, Denmark. pp.361--370, ⟨10.1145/1542362.1542424⟩
Communication dans un congrès inria-00425383v1

Classification of the perspective-three-point problem, discriminant variety and real solving polynomial systems of inequalities

Jean-Charles Faugère , Guillaume Moroz , Fabrice Rouillier , Mohab Safey El Din
ISSAC 2008 - 21st International Symposium on Symbolic and Algebraic Computation, Jul 2008, Hagenberg, Austria. pp.79-86, ⟨10.1145/1390768.1390782⟩
Communication dans un congrès hal-01111711v1

Explicit classification of the 9 first Haas parametric systems

Guillaume Moroz , Fabrice Rouillier
ADG 2008 --- Seventh International Workshop on Automated Deduction in Geometry, 2008, Shanghai, China. pp.1-1
Communication dans un congrès hal-01305663v1
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On The Topology of Planar Algebraic Curves

Jinsan Cheng , Sylvain Lazard , Luis Mariano Peñaranda , Marc Pouget , Fabrice Rouillier
24th European Workshop on Computational Geometry - EuroCG 2008, Mar 2008, Nancy, France. pp.213--216
Communication dans un congrès inria-00329754v1

Using Computer Algebra to Certify the Global Convergence of a Numerical Optimization Process

Nong Gu , Daniel Lazard , Fabrice Rouillier , Yong Xiang
Mathematical Aspects of Computer and Information Sciences, Jul 2006, Beijing, China. pp.100-112
Communication dans un congrès hal-01352508v1

Ridges and umbilics of polynomial parametric surfaces

Frédéric Cazals , Jean-Charles Faugère , Marc Pouget , Fabrice Rouillier
Computational Methods for Algebraic Spline Surfaces II - COMPASS II, Sep 2005, Oslo, Norway. pp.1-1
Communication dans un congrès hal-01434753v1

Outils de calcul formel performants pour la résolution de certains problèmes en robotique

Jean-Charles Faugère , Fabrice Rouillier
Journées Nationales de Recherche en Robotique, Oct 2005, Lorient, France. pp.89-99
Communication dans un congrès hal-01434754v1

Polynomial System Solving for Industrial Problems

Fabrice Rouillier , Jean-Charles Faugère
SIAM Conference on Mathematics for Industry, Oct 2005, Detroit, MI, United States. pp.1-5
Communication dans un congrès hal-01486850v1

Solving Parametric Polynomial Systems

Daniel Lazard , Fabrice Rouillier
International Conference on Polynomial System Solving, Nov 2004, Paris, France. pp.53-55
Communication dans un congrès hal-01520939v1

Computing sampling points in a semi-algebraic set defined by non-strict inequalities, Application to Pattern-Matching Problems

Colas Le Guernic , Fabrice Rouillier , Mohab Safey El Din
EACA 2004 - Encuentro de Álgebra Computacional y Aplicaciones, Jul 2004, Santander, Spain
Communication dans un congrès hal-01434756v1

On the Rational Univariate Representation

Fabrice Rouillier
International Conference on Polynomial System Solving, Nov 2004, Paris, France. pp.75--79
Communication dans un congrès hal-01434755v1

Real roots of parametric polynomial systems.

Fabrice Rouillier
The Eighth International Workshop on Mathematics Mechanization, Jun 2004, Beijing, China
Communication dans un congrès hal-01497052v1

Exact Computations and Real Roots of Polynomial Systems

Fabrice Rouillier
Algorithmic, Combinatorial and Applicable Real Algebraic Geometry, Apr 2004, Berkeley, CA, United States
Communication dans un congrès hal-01497056v1

Real roots of parametric systems of polynomial equalities and inequalities

Fabrice Rouillier
Workshop on Real Computation and Complexity, 2004, Rennes, France
Communication dans un congrès hal-01503542v1

Efficient real solutions and robotics

Fabrice Rouillier
1st EMS - SMAI - SMF Joint Conference Applied Mathematics and Applications of Mathematics, Feb 2003, Nice, France
Communication dans un congrès hal-01531942v1

Motivations for an arbitrary precision interval arithmetic and the mpfi library

Nathalie Revol , Fabrice Rouillier
SIAM Workshop on Validated Computing 2002, 2002, Toronto, Canada. pp.155-161
Communication dans un congrès inria-00100985v1

Real Solving and parallel robots

Fabrice Rouillier
Workshop on Computations and Applications in RAAG 2002, 2002, Santander, Spain
Communication dans un congrès inria-00100993v1

A library for arbitrary precision interval arithmetic

Nathalie Revol , Fabrice Rouillier
10th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics (scan2002), 2002, Paris, France
Communication dans un congrès hal-01434758v1

Using computer algebra tools to classify serial manipulators

Solen Corvez , Fabrice Rouillier
Fourth International Workshop on Automated Deduction in Geometry - ADG 2002, Sep 2002, Hagenberg, Austria. pp.31-43, ⟨10.1007/978-3-540-24616-9_3⟩
Communication dans un congrès inria-00100987v1

Outils pour l'étude des zéros réels de systèmes algébriques

Fabrice Rouillier
Colloque Mathématiques Effectives, 2002, Poitiers, France
Communication dans un congrès inria-00100994v1

An environment for Symbolic and Numeric Computation

Gabriel dos Reis , Bernard Mourrain , Philippe Trebuchet , Fabrice Rouillier
International Congress of Mathematical Software - ICMS'2002, 2002, Beijing, China. pp.239-249
Communication dans un congrès inria-00100984v1

Outils pour l'Etude des Zéros Réels de Systèmes Algébriques

Fabrice Rouillier
Journées de Géométrie Algorithmique - JGA'02, 2002, Obernai, France
Communication dans un congrès inria-00100992v1

Computational problems related to positive polynomials

Fabrice Rouillier
Workshop on positive polynomials, 2002, Oberwolfach, Germany
Communication dans un congrès inria-00100983v1

Calcul formel et calcul scientifique

Fabrice Rouillier
Congrès national de mathématiques appliquées et industrielles (SMAI), May 2001, Club Med de Pompadour, Corrèze, France. pp.151-164
Communication dans un congrès hal-01571753v1

Efficient Agorithms Based on the Critical Point Method

Fabrice Rouillier
DIMACS Workshop on Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science, Mar 2001, Rutgers, United States. pp.123-138
Communication dans un congrès hal-01434759v1

Well-defined semantics for floating-point computations: the MPFR library

Fabrice Rouillier
MuPAD Workshop 2000, 2000, Unknown, Unknown Region
Communication dans un congrès hal-01434760v1

Solving the Birkhoff interpolation problem via the critical point method: an experimental study

Fabrice Rouillier , Mohab Safey El Din , Eric Schost
Third International Workshop on Automated Deduction in Geometry - ADG'2000, Sep 2000, Zurich, Switzerland. pp.26-40, ⟨10.1007/3-540-45410-1_3⟩
Communication dans un congrès inria-00099276v1

Using Groebner bases to compute higher order finite elements for mass lumping

Michel Kern , Agany Oloui , Jean-Charles Faugère , Fabrice Rouillier
Fourth International Congress on Industrial & Applied Mathematics - ICIAM'99, Jul 1999, Edinburgh, United Kingdom
Communication dans un congrès inria-00110525v1

Using Gröbner bases to compute higher order finite elements for ma\ss lumping

M. Kern , J.-C. Faugère , Fabrice Rouillier
ICIAM'99, Edimburgh, 1999, Unknown, Unknown Region
Communication dans un congrès hal-01434762v1

Real Solving of Polynomial Systems and Applications

Fabrice Rouillier
ICIAM'99 - Edhimburg, 1999, Unknown, Unknown Region
Communication dans un congrès hal-01434761v1

Using Computer algebra tools for off-line studies of parallel manipulators

Jean-Charles Faugère , Luc Rolland , Fabrice Rouillier
International Conference on Applications of Computer Algebra (ACA'99), Jun 1999, Madrid, Spain
Communication dans un congrès hal-01434763v1

Design of filter and filter banks using dedicated Computer Algebra Tools

Jean-Charles Faugère , Fabrice Rouillier
International Conference on Applications of Computer Algebra (ACA'99), Jun 1999, Madrid, Spain
Communication dans un congrès hal-01434764v1

Application of Modules (RealSolving/FRISCO)

Fabrice Rouillier
MuPAD Workshop 1997, 1997, Unknown, Unknown Region
Communication dans un congrès hal-01434768v1

Polynomial system solving in practice

Fabrice Rouillier , M.F. Roy
FoCM'97, 1997, Unknown, Unknown Region
Communication dans un congrès hal-01434770v1

PoSSo-RealSolving (Simultaneous Inequalities)

Fabrice Rouillier , G. Trujillo
Proceedings of the PoSSo-workshop on software, 1995, Unknown, Unknown Region
Communication dans un congrès hal-01434773v1

Software for symbolic polynomial system solving: the PoSSo solver

Fabrice Rouillier
ICIAM'95 - Hambourg, 1995, Unknown, Unknown Region
Communication dans un congrès hal-01434772v1

PoSSo-RealSolving (zero-dimensional system of polynomials)

Fabrice Rouillier
Proceedings of the PoSSo-workshop on software, 1995, Unknown, Unknown Region
Communication dans un congrès hal-01434774v1
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Real roots counting for some robotics problems

Fabrice Rouillier
Computational Kinematics'95, Sep 1995, Nice (France), pp.73-82
Communication dans un congrès inria-00000936v1

On the effective computation of stabilizing controllers of 2D systems

Yacine Bouzidi , Thomas Cluzeau , Alban Quadrat , Fabrice Rouillier
Jürgen Gerhard, Ilias Kotsireas. Maple in Mathematics Education and Research, Maple in Mathematics Education and Research, Springer, pp.30-49, 2020, 978-3-030-41257-9
Chapitre d'ouvrage hal-03070677v1
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Symbolic Methods for Solving Algebraic Systems of Equations and Applications for Testing the Structural Stability

Yacine Bouzidi , Fabrice Rouillier
Alban Quadrat; Eva Zerz. Algebraic and Symbolic Computation Methods in Dynamical Systems, Springer, pp.203-237, 2020, ⟨10.1007/978-3-030-38356-5_8⟩
Chapitre d'ouvrage hal-02907338v1
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Using Maple to analyse parallel robots

Damien Chablat , Guillaume Moroz , Fabrice Rouillier , Philippe Wenger
Jürgen Gerhard; Ilias Kotsireas. Maple in Mathematics Education and Research, Springer, Cham, pp.50-64, 2020, Maple in Mathematics Education and Research, 978-3-030-41257-9. ⟨10.1007/978-3-030-41258-6_4⟩
Chapitre d'ouvrage hal-02289699v1
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Non-singular assembly mode changing trajectories in the workspace for the 3-RPS parallel robot

Damien Chablat , Ranjan Jha , Fabrice Rouillier , Guillaume Moroz
Jadran Lenarčič, Oussama Khatib. Advances in Robot Kinematics, Springer, pp.149 - 159, 2014, 978-3-319-06697-4
Chapitre d'ouvrage hal-00956325v1
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Ridges and Umbilics of Polynomial Parametric Surfaces

Frédéric Cazals , Jean-Charles Faugère , Marc Pouget , Fabrice Rouillier
B. Juttler and R. Piene. Geometric Modeling and Algebraic Geometry, Springer, pp.141--159, 2008, 978-3-540-72184-0. ⟨10.1007/978-3-540-72185-7_8⟩
Chapitre d'ouvrage inria-00329762v1

Bernstein's basis and real root isolation

Bernard Mourrain , Fabrice Rouillier , Marie-Françoise Roy
Combinatorial and Computational Geometry, 52, Cambridge University Press, pp.459-478, 2005, MSRI Publications
Chapitre d'ouvrage hal-01486849v1

Efficient algorithms based on critical points method

Fabrice Rouillier
Algorithmic and Quantitative Real Algebraic Geometry, 60, American Mathematical Society, pp.123--138, 2003, Discrete Mathematics and Theoretical Computer Science
Chapitre d'ouvrage hal-01434757v1

Symbolic Recipes for Real Solutions

Laureano Gonzalez-Vega , Fabrice Rouillier , Marie-Françoise Roy , Guadaluppe Trujillo
Cohen, A.M.; Cuypers, H.; Sterk, H. Some Tapas of Computer Algebra, 4, Springer, pp.121-167, 1998, Algorithms and Computation in Mathematics, 3-540-63480-0. ⟨10.1007/978-3-662-03891-8_6⟩
Chapitre d'ouvrage inria-00098571v1

Real Root Counting For some Robotics problems

Fabrice Rouillier
Merlet, J.P. Solid Mechanics & its Applications, 9 p, 1998
Chapitre d'ouvrage inria-00098444v1

Symbolic Recipes for Polynomial System Solving

Laureano Gonzalez-Vega , Fabrice Rouillier , Marie-Françoise Roy
A.M. Cohen, H. Cuypers and H. Sterk. Some Tapas of Computer Algebra, 4, Springer, pp.34-65, 1998, Algorithms and Computation in Mathematics, 3-540-63480-0. ⟨10.1007/978-3-662-03891-8_2⟩
Chapitre d'ouvrage inria-00098570v1
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Algorithmes pour l'étude des solutions réelles des systèmes polynomiaux

Fabrice Rouillier
Calcul formel [cs.SC]. Université Pierre & Marie Curie - Paris 6, 2007
HDR tel-01435142v1