p-阶Hlder连续的拟牛顿方法(英文)  

The quasi-Newton method for operators with p-order Hlder continuous first derivative

作　　者：孙辉[1] 朱德通[2] 

机构地区：[1]上海师范大学数理学院,上海200234 [2]上海师范大学商学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2010年第1期7-12,共6页Journal of Shanghai Normal University(Natural Sciences)

基　　金：the Shanghai Leading Academic Discipline Project(T0401)

摘　　要：分析了Frechet可微算子是p-阶Hlder连续的拟牛顿法收敛性,证明了非线性方程组解的存在性和唯一性,而且考虑了拟牛顿迭代至少1+p阶R收敛率.We analyze the convergence of the quasi-Newton method when the first Frechet derivative of operator involved is porder Hoelder continuous. Based on establishing some results on the existence and uniqueness of the solution for a nonlinear equation system, we calculate also the quasi-Newton method that is R- order of convergence at least 1 ＋ p.

关 键 词：Banach空间中的非线性方程组 拟牛顿法 半局部收敛定理 递推关系式 

分 类 号：O221.2[理学—运筹学与控制论]