γ-条件下非精确牛顿类方法的半局部收敛性  

The semi-local convergence for inexact Newton-like methods under the γ-condition

作　　者：何金苏[1] 吴阿凡 沈卫平[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）》2017年第1期9-16,共8页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(11571308)

摘　　要：研究了非精确牛顿类方法的收敛性问题.假设非线性算子满足γ-条件,那么可以建立非精确牛顿类方法的半局部收敛条件;并且,给出一个数值例子说明了本文结果的有效性.It was studied the convergence problem of inexact Newton-like methods. Under the γ-condition, a semi-local convergence criterion for inexact Newton-like methods was established; furthermore, a numerical example was presented to illustrate the effectiveness of the results.

关 键 词：非精确牛顿类方法 Γ-条件 非线性算子 半局部收敛性 

分 类 号：O241.5[理学—计算数学]