On reduced convex QP formulations of monotone LCPs

Abstract.Techniques for transforming convex quadratic programs (QPs) into monotone linear complementarity problems (LCPs) and vice versa are well known. We describe a class of LCPs for which a reduced QP formulation – one that has fewer constraints than the “standard” QP formulation – is available. We mention several instances of this class, including the known case in which the coefficient matrix in the LCP is symmetric.