We study a variational inequality problem whose domainis defined by infinitely many linear inequalities. A discretization method and an analytic center based inexact cutting plane method are proposed. Under proper assumptions, the convergence results for both methods aregiven. We also provide...

An alternative smoothing method for the high dimensional max functionhas been studied. The proposed method is a recursive extension of thetwo dimensional smoothing functions. In order to analyze the proposedmethod, a theoretical framework related to smoothing methods has beendiscussed. Moreover,...

By using a smooth entropy function to approximate the non-smooth max-type function, a verticallinear complementarity problem (VLCP) can be treated as a family of parameterized smoothequations. A Newton-type method with a testing procedure is proposed to solve sucha system. We show that the...

A new smoothing approach based on entropic perturbationis proposed for solving mathematical programs withequilibrium constraints. Some of the desirableproperties of the smoothing function are shown. Theviability of the proposed approach is supported by acomputationalstudy on a set of well-known...