The algebraic degree of geometric optimization problems, Discrete & Computational Geometry, vol.27, issue.39, pp.177-191, 1988. ,
DOI : 10.1007/BF02187906
Algorithms in Real Algebraic Geometry, Algorithms and Computation in Mathematics, vol.10, 2006. ,
DOI : 10.1007/978-3-662-05355-3
URL : https://hal.archives-ouvertes.fr/hal-01083587
Bounding the radii of balls meeting every connected component of semi-algebraic sets, Journal of Symbolic Computation, vol.45, issue.12, pp.1270-1279, 2010. ,
DOI : 10.1016/j.jsc.2010.06.009
URL : https://hal.archives-ouvertes.fr/hal-00459481
The Complexity of Robot Motion Planning, ACM Doctoral Dissertation Award Series, 1987. ,
The DMM bound, Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, ISSAC '10, pp.243-250, 2010. ,
DOI : 10.1145/1837934.1837981
URL : https://hal.archives-ouvertes.fr/inria-00393833
Discriminants, resultants, and multidimensional determinants, Birkhäuser Boston Inc, 1994. ,
A general formula for the algebraic degree in semidefinite programming, Bulletin of the London Mathematical Society, vol.41, issue.2, pp.193-197, 2009. ,
DOI : 10.1112/blms/bdn114
Exact algorithms for solving stochastic games (extended abstract), STOC'11?Proceedings of the 43rd ACM Symposium on Theory of Computing, pp.205-214, 2011. ,
Separation bounds for real roots of polynomial systems, Proc. 11th Int. Symp. on Effective Methods in Algebraic Geometry (MEGA), 2011. ,
On the minimum of a positive polynomial over the standard simplex, Journal of Symbolic Computation, vol.45, issue.4, pp.434-442, 2010. ,
DOI : 10.1016/j.jsc.2010.01.001
On Sign Conditions Over Real Multivariate Polynomials, Discrete & Computational Geometry, vol.60, issue.5, pp.195-222, 2010. ,
DOI : 10.1007/s00454-009-9200-4
On continued fraction expansion of real roots of polynomial systems, complexity and condition numbers, Theoretical Computer Science, vol.412, issue.22, pp.2312-2330, 2011. ,
DOI : 10.1016/j.tcs.2011.01.009
URL : https://hal.archives-ouvertes.fr/inria-00530756
Polynomials: An algorithmic approach, 1999. ,
Algebraic Degree of Polynomial Optimization, SIAM Journal on Optimization, vol.20, issue.1, pp.485-502, 2009. ,
DOI : 10.1137/080716670
The algebraic degree of semidefinite programming, Mathematical Programming, vol.296, issue.12, pp.379-405, 2010. ,
DOI : 10.1007/s10107-008-0253-6
Numerical optimization. Springer Series in Operations Research, 1999. ,
On the complexity of Schm??dgen's Positivstellensatz, Journal of Complexity, vol.20, issue.4, pp.529-543, 2004. ,
DOI : 10.1016/j.jco.2004.01.005
Basic algebraic geometry 1, 1994. ,
The height of the mixed sparse resultant, American Journal of Mathematics, vol.126, issue.6, pp.1253-1260, 2004. ,
DOI : 10.1353/ajm.2004.0050
URL : https://hal.archives-ouvertes.fr/hal-00119390
Numerical analysis of a bisection-exclusion method to find zeros of univariate analytic functions, Journal of Complexity, vol.21, issue.5, pp.652-690, 2005. ,
DOI : 10.1016/j.jco.2005.06.007