WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 17, 2018
The Properties of a New Smoothing Function and a Modified Smoothing Newton Method for the P0-NCP
Authors: , ,
Abstract: In this paper we introduce a new smoothing function which has many nice properties. Based on this function, a smoothing Newton method is proposed to solve the nonlinear complementarity problem with P0-function (denoted by P0-NCP). Our method adopts a variant merit function. Moreover, we use a modified Newton equation to obtain the search direction. Under suitable assumptions, we show that the proposed method is globally and locally quadratically convergent. Some preliminary computational results are reported.