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

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.