不可微非线性方程的非精确牛顿型法的半局部收敛性  

Semilocal convergence of an inexact Newton-type method for solving nondifferentiable equations

作　　者：郭晓梅[1] 徐秀斌[1] 詹铜霞[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2013年第4期401-407,共7页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(61170109)

摘　　要：在求解非线性算子方程H(x)=0时,若H(x)的导数不存在,则可用非精确牛顿型法代替牛顿法求解;在Hlder条件及Hlder中心条件下,给出了收敛性判断的条件,及半局部收敛性的证明;最后,给出了一个具体例子进行应用.It was focused on solving a kind of nonlinear operator equations H（ x ） = 0 without differentiability of the operator. An inexact Newton-type method was constructed, the semiloeal convergence under the Hōlder condition and the Hōlder center condition was obtained. Finally, a numerical example was used as an applica-tion.

关 键 词：不可微非线性算子方程 非精确牛顿型法 半局部收敛 Hōlder条件 Hōlder中心条件 

分 类 号：O241[理学—计算数学]