A global optimization method, ??BB, for general twice-differentiable constrained NLPs ??? I. Theoretical advances, Computers & Chemical Engineering, vol.22, issue.9, pp.1137-1158, 1998. ,
DOI : 10.1016/S0098-1354(98)00027-1
Jointly constrained biconvex programming, Mathematics of Operations Research, vol.8, issue.2, pp.273-286, 1983. ,
Semidefinite programming versus the reformulation-linearization technique for nonconvex quadratically constrained quadratic programming. Pre-print, Optimization Online, 2007. ,
Multiterm polyhedral relaxations for nonconvex, quadratically constrained quadratic programs. Optimization Methods and Software, pp.485-504, 2009. ,
Branching and bounds tightening techniques for non-convex MINLP. Optimization Methods and Software, pp.597-634, 2009. ,
On convex relaxations of quadrilinear terms, Journal of Global Optimization, vol.99, issue.2, pp.661-685, 2010. ,
DOI : 10.1007/s10898-009-9484-1
On linear characterizations of combinatorial optimization problems, 21st Annual Symposium on Foundations of Computer Science (sfcs 1980), pp.620-632, 1982. ,
DOI : 10.1109/SFCS.1980.29
Second order cone programming relaxation of nonconvex quadratic optimization problems. Optimization Methods and Software, pp.201-204, 2001. ,
Writing Global Optimization Software, Global Optimization: from Theory to Implementation, pp.211-262, 2006. ,
DOI : 10.1007/0-387-30528-9_8
Reformulations in Mathematical Programming: A Computational Approach, Foundations on Computational Intelligence, pp.153-234, 2009. ,
DOI : 10.1007/978-3-642-01085-9_7
URL : https://hal.archives-ouvertes.fr/hal-01217899
Molecular distance geometry methods: from continuous to discrete, International Transactions in Operational Research, vol.43, issue.3, pp.33-51, 2010. ,
DOI : 10.1111/j.1475-3995.2009.00757.x
Convex envelopes of monomials of odd degree, Journal of Global Optimization, vol.25, issue.2, pp.157-168, 2003. ,
DOI : 10.1023/A:1021924706467
The global solver in the LINDO API. Optimization Methods and Software, pp.657-668, 2009. ,
Some results on the strength of relaxations of multilinear functions, Mathematical Programming, vol.103, issue.3, 2010. ,
DOI : 10.1007/s10107-012-0606-z
Computability of global solutions to factorable nonconvex programs: Part I ??? Convex underestimating problems, Mathematical Programming, pp.146-175, 1976. ,
DOI : 10.1287/mnsc.17.11.759
Trilinear Monomials with Positive or Negative Domains: Facets of the Convex and Concave Envelopes, Frontiers in Global Optimization, pp.327-352, 2003. ,
DOI : 10.1007/978-1-4613-0251-3_18
Trilinear Monomials with Mixed Sign Domains: Facets of the Convex and Concave Envelopes, Journal of Global Optimization, vol.29, issue.2, pp.125-155, 2004. ,
DOI : 10.1023/B:JOGO.0000042112.72379.e6
Convex envelopes for edge-concave functions, Mathematical Programming, pp.207-224, 2005. ,
DOI : 10.1007/s10107-005-0580-9
Valid inequalities, separation, and convex hulls for bounded multilinear functions. In preparation, 2010. ,
A convex envelope formula for multilinear functions, Journal of Global Optimization, vol.10, issue.4, pp.425-437, 1997. ,
DOI : 10.1023/A:1008217604285
A branch-and-reduce approach to global optimization, Journal of Global Optimization, vol.22, issue.4, pp.107-138, 1996. ,
DOI : 10.1007/BF00138689
Baron 8.1.1: Global optimization of mixed-integer nonlinear programs. Users Manual, 2008. ,
Convex relaxations of non-convex mixed integer quadratically constrained programs: extended formulations, Mathematical Programming, vol.106, issue.1, pp.383-411, 2010. ,
DOI : 10.1007/s10107-010-0371-9
Convex relaxations of non-convex mixed integer quadratically constrained programs: projected formulations, Mathematical Programming, 2010. ,
DOI : 10.1007/s10107-010-0340-3
Convex envelopes of multilinear functions over a unit hypercube and over special discrete sets, Acta Mathematica Vietnamica, vol.22, pp.245-270, 1997. ,
A symbolic reformulation/spatial branch-and-bound algorithm for the global optimisation of nonconvex MINLPs, Computers & Chemical Engineering, vol.23, issue.4-5, pp.457-478, 1999. ,
DOI : 10.1016/S0098-1354(98)00286-5
Existence and sum decomposition of vertex polyhedral convex envelopes, Optimization Letters, vol.93, issue.3, pp.363-375, 2008. ,
DOI : 10.1007/s11590-007-0065-2
On the existence of polyhedral convex envelopes, Frontiers in Global Optimization, pp.149-188, 2008. ,
DOI : 10.1007/978-1-4613-0251-3_30
Convex extensions and convex envelopes of l.s.c. functions, Mathematical Programming, pp.247-263, 2002. ,
Global optimization of mixed-integer nonlinear programs: A theoretical and computational study, Mathematical Programming, pp.563-591, 2004. ,
DOI : 10.1007/s10107-003-0467-6