Fabrice Rouillier

2.0k total citations
40 papers, 785 citations indexed

About

Fabrice Rouillier is a scholar working on Computational Theory and Mathematics, Computational Mechanics and Control and Systems Engineering. According to data from OpenAlex, Fabrice Rouillier has authored 40 papers receiving a total of 785 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Computational Theory and Mathematics, 22 papers in Computational Mechanics and 8 papers in Control and Systems Engineering. Recurrent topics in Fabrice Rouillier's work include Polynomial and algebraic computation (24 papers), Advanced Numerical Analysis Techniques (21 papers) and Formal Methods in Verification (6 papers). Fabrice Rouillier is often cited by papers focused on Polynomial and algebraic computation (24 papers), Advanced Numerical Analysis Techniques (21 papers) and Formal Methods in Verification (6 papers). Fabrice Rouillier collaborates with scholars based in France, India and Canada. Fabrice Rouillier's co-authors include Paul Zimmermann, Daniel Lazard, Nathalie Revol, Mohab Safey El Din, Jean‐Charles Faugère, Marc Pouget, Sylvain Lazard, Marie-Françoise Roy, Philippe Aubry and Elias Tsigaridas and has published in prestigious journals such as IEEE Transactions on Signal Processing, Journal of Computational and Applied Mathematics and Mechanism and Machine Theory.

In The Last Decade

Fabrice Rouillier

37 papers receiving 728 citations

Peers

Fabrice Rouillier

CTM

ANT

CSE

Laureano González-Vega Spain

Franz Winkler Austria

Scott McCallum Australia

С. А. Абрамов Russia

Elias Tsigaridas France

Barry Trager United States

Joos Heintz Argentina

Lihong Zhi China

Michel Coste France

Dennis S. Arnon United States

Laureano González-Vega Spain

Fabrice Rouillier

376 ×0.7

CTM

273 ×0.9

115 ×0.7

73 ×0.6

ANT

26 ×0.3

CSE

Citations per year, relative to Fabrice Rouillier Fabrice Rouillier (= 1×) peers Laureano González-Vega

Countries citing papers authored by Fabrice Rouillier

Since Specialization

Citations

This map shows the geographic impact of Fabrice Rouillier's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Fabrice Rouillier with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Fabrice Rouillier more than expected).

Fields of papers citing papers by Fabrice Rouillier

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Fabrice Rouillier. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Fabrice Rouillier. The network helps show where Fabrice Rouillier may publish in the future.

Co-authorship network of co-authors of Fabrice Rouillier

This figure shows the co-authorship network connecting the top 25 collaborators of Fabrice Rouillier. A scholar is included among the top collaborators of Fabrice Rouillier based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Fabrice Rouillier. Fabrice Rouillier is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Quadrat, Alban, et al.. (2024). L^infinity-norm computation for linear time-invariant systems depending on parameters. SPIRE - Sciences Po Institutional REpository. 4(1).

Rouillier, Fabrice, et al.. (2024). Certified kinematic tools for the design and control of parallel robots. Mechanism and Machine Theory. 205. 105865–105865.

Rouillier, Fabrice, et al.. (2023). On the Certification of the Kinematics of 3-DOF Spherical Parallel Manipulators. SPIRE - Sciences Po Institutional REpository. 3(2). 1 indexed citations

Bouzidi, Youcef, Alban Quadrat, & Fabrice Rouillier. (2018). Certified non-conservative tests for the structural stability of discrete multidimensional systems. Multidimensional Systems and Signal Processing. 30(3). 1205–1235. 11 indexed citations

Lazard, Sylvain, Marc Pouget, & Fabrice Rouillier. (2017). Bivariate triangular decompositions in the presence of asymptotes. Journal of Symbolic Computation. 82. 123–133. 2 indexed citations

Rouillier, Fabrice, et al.. (2017). Computing Chebyshev knot diagrams. Journal of Symbolic Computation. 86. 120–141. 1 indexed citations

Lazard, Sylvain, et al.. (2016). Solving bivariate systems using Rational Univariate Representations. Journal of Complexity. 37. 34–75. 14 indexed citations

Falbel, Elisha, et al.. (2015). Character Varieties For : The Figure Eight Knot. Experimental Mathematics. 25(2). 219–235. 5 indexed citations

Falbel, Elisha, et al.. (2014). Representations of fundamental groups of 3-manifolds into $$\mathrm{PGL}(3,\mathbb {C})$$ PGL ( 3 , C ) : exact computations in low complexity. Geometriae Dedicata. 177(1). 229–255. 11 indexed citations

10.

Lazard, Sylvain, et al.. (2014). Separating linear forms and Rational Univariate Representations of bivariate systems. Journal of Symbolic Computation. 68. 84–119. 9 indexed citations

11.

Bergeron, Nicolas, et al.. (2013). Local Rigidity for -Representations of 3-Manifold Groups. Experimental Mathematics. 22(4). 410–420. 8 indexed citations

12.

Lazard, Sylvain, et al.. (2011). New bivariate system solver and topology of algebraic curves. HAL (Le Centre pour la Communication Scientifique Directe). 5 indexed citations

13.

Cheng, Jin-San, et al.. (2008). On The Topology of Planar Algebraic Curves. HAL (Le Centre pour la Communication Scientifique Directe). 1 indexed citations

14.

Lazard, Daniel & Fabrice Rouillier. (2007). Solving parametric polynomial systems. Journal of Symbolic Computation. 42(6). 636–667. 91 indexed citations

15.

Gu, Nong, Yong Xiang, Fabrice Rouillier, & Zhiqiang Cao. (2007). Comments on “A Blind Signal Separation Method for Multiuser Communications”. IEEE Transactions on Signal Processing. 55(5). 2355–2356.

16.

Cazals, Frédéric, Jean‐Charles Faugère, Marc Pouget, & Fabrice Rouillier. (2006). The implicit structure of ridges of a smooth parametric surface. Computer Aided Geometric Design. 23(7). 582–598. 17 indexed citations

17.

Cazals, Frédéric, Jean‐Charles Faugère, Marc Pouget, & Fabrice Rouillier. (2005). Topologically certified approximation of umbilics and ridges on polynomial parametric surface. HAL (Le Centre pour la Communication Scientifique Directe). 36. 6 indexed citations

18.

Rouillier, Fabrice & Paul Zimmermann. (2003). Efficient isolation of polynomial's real roots. Journal of Computational and Applied Mathematics. 162(1). 33–50. 122 indexed citations

19.

Aubry, Philippe, Fabrice Rouillier, & Mohab Safey El Din. (2002). Real Solving for Positive Dimensional Systems. Journal of Symbolic Computation. 34(6). 543–560. 39 indexed citations

20.

Rouillier, Fabrice, Marie-Françoise Roy, & Mohab Safey El Din. (2000). Finding at Least One Point in Each Connected Component of a Real Algebraic Set Defined by a Single Equation. Journal of Complexity. 16(4). 716–750. 38 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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