P_(0^-)函数箱约束变分不等式的正则半光滑牛顿法  

A REGULARIZED SEMISMOOTH NEWTON METHOD FOR SOLVING BOX CONSTRAINED VARIATIONAL INEQUALITIES WITH P_0-FUNCTION

作　　者：刘水霞[1] 陈国庆[1] 

机构地区：[1]内蒙古大学理工学院数学系,呼和浩特010021

出　　处：《高等学校计算数学学报》2006年第2期111-121,共11页Numerical Mathematics A Journal of Chinese Universities

基　　金：教育部优秀青年教师教学科研奖励计划资助项目.

摘　　要：设X包含于R^n，F：R^n→R^n，变分不等式VI（X，F）是指：求x∈X，使F（x）^T（y-x）≥0，任意y∈X。Based on a new NCP-function for the box constrained variational inequality problems VI（a, b, F） proposed by the authors in the previous papers, a regularized semismooth Newton method for solving the VI（a, b, F） with P0-function is developed. For the VI（a, b, F） with P0-function, it is proved that the method is globally convergent. Under CD-regularity, the method has a superlinear/quadratic convergence rate without requiring strict complementarity conditions. Numerical results are reported.

关 键 词：变分不等式 牛顿法 半光滑 正则 函数 R^N 

分 类 号：O176[理学—数学] O241.7[理学—基础数学]