Mathematica Eterna
Open Access

Abstract

A Modified Nonmonotone Method with 3-1 Piecewise NCP Function for Generalized Nonlinear Complementarity Problem

Dan Yang

In this paper, based on the 3-1 piecewise NCP function, we proposed a modified nonmonotone method for generalized nonlinear complementarity problems. Two parameters are introduced to avoid compute function of F(x) and G(x) in the update algorithm. Combined with the nonmonotonic line search, only one system of equation is needed to solve at each iteration. In the end, under suitable conditions, the global convergent properties are proved and the numerical results are reported.