一类非光滑方程的两阶段类牛顿法  

The two-step Newton-like method of a kind of nonsmooth equation

作　　者：杨志博[1] 李郴良[1] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《桂林电子科技大学学报》2013年第4期327-330,共4页Journal of Guilin University of Electronic Technology

基　　金：国家自然科学基金(11161014)

摘　　要：针对一类Clarke可导的非光滑方程,提出一个新的求解方法——两阶段类牛顿法,并分析该方法的半局部收敛性。数值结果显示,两阶段类牛顿法比两步Sor-Newtom迭代步数少,且收敛步数不随参数的变化而变化,表明两阶段类牛顿法比后者更有效。A new two-step Newton-like method for a kind of Clarke differentiable nonsmooth equation is proposed. The semilocal convergence of this new method is analyzed. Numerical results show that the iterative steps of the two-step Newton-like method are less than that of the two-step Sor-Newton method. Moreover, the iterative steps will not change with the parameters. Thus the two-step Newton-like method is more effective than the latter.

关 键 词：两阶段类牛顿法 非光滑方程 Clarke导数 半局部收敛性 

分 类 号：O175.2[理学—数学]