A polyhedral study of nonconvex quadratic programs with box constraints

@article{Vandenbussche2005APS,
  title={A polyhedral study of nonconvex quadratic programs with box constraints},
  author={Dieter Vandenbussche and George L. Nemhauser},
  journal={Math. Program.},
  year={2005},
  volume={102},
  pages={531-557}
}
By reformulating quadratic programs using necessary optimality conditions, we obtain a linear program with complementarity constraints. For the case where the only constraints are bounds on the variables, we study a relaxation based on a subset of the optimality conditions. By characterizing its convex hull, we obtain a large class of valid inequalities. These inequalities are used in a branch-and-cut scheme, see [13]. 

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