Scip : solving constraint integer programs, Mathematical Programming Computation, issue.1, pp.1-41, 2009. ,
A global optimization method, ?bb, for general twice-differentiable constrained nlpsi. theoretical advances, Computers and Chemical Engineering, vol.22, issue.9, pp.1137-1158, 1998. ,
Handbook of semidefinite, conic and polynomial optimization: Theory, algorithms, software and applications, International Series in Operational Research and Management Science, vol.166, 2012. ,
Quadratic reformulations of nonlinear binary optimization problems, Mathematical Programming, vol.162, pp.115-144, 2017. ,
Br anching and bounds tightening techniques for nonconvex minlp, Optimization Methods and Software, issue.24, pp.597-634, 2009. ,
Using a Conic Bundle method to accelerate both phases of a Quadratic Convex Reformulation, INFORMS Journal on Computing, vol.29, issue.2, pp.318-331, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01811329
, Optimization Methods and Software, vol.11, issue.1, pp.613-623, 1999.
Monomial-wise optimal separable underestimators for mixed-integer polynomial optimization, Journal of Global Optimization, pp.1-28, 2016. ,
On linear programming relaxations for solving polynomial programming problems, Computers & Operations Research, vol.99, pp.67-77, 2018. ,
Solving unconstrained 0-1 polynomial programs through quadratic convex reformulation, 2018. ,
Computers and Intractability: A guide to the theory of ,
, , 1979.
, Conic Bundle, 2011.
,
, IBM ILOG CPLEX 12.7 Reference Manual, 2017.
Global optimization with polynomials and the problem of moments, SIAM Journal on Optimization, vol.11, issue.3, pp.796-817, 2001. ,
Convex underestimators of polynomials, Journal of Global Optimization, pp.1-25, 2013. ,
Antigone: algorithms for continuous/integer global optimization of nonlinear equations, Journal of Global Optimization, vol.59, issue.2-3, pp.503-526, 2014. ,
Baron 9.0.4: Global optimization of mixed-integer nonlinear programs. User's Manual, 2010. ,
Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones. OPTMS, pp.625-653, 1999. ,