求解非光滑方程组的非单调信赖域算法  

A new nonmonotone trust region method with line search technique for solving nonsmooth equations

作　　者：郭元宝[1] 黄炳家[1] 

机构地区：[1]中国石油大学数学与计算科学学院,山东青岛266555

出　　处：《山东理工大学学报（自然科学版）》2011年第2期11-14,共4页Journal of Shandong University of Technology:Natural Science Edition

摘　　要：利用线搜索方法和信赖域方法的优点,结合非单调技术,构造了一类求解非光滑方程组的带线搜索的非单调信赖域算法,并证明了该算法的全局收敛性.This paper presents a new nonmonotone trust region method with line search technique for solving nonsmooth equations,which makes full use of the merit of line search technique and trust region method.It is proved that the method has globally cnovergence.Numerical examples are given to show the practical vibility of the approach.

关 键 词：半光滑映射 信赖域算法 全局收敛性 

分 类 号：O244[理学—计算数学]