中文摘要：

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．

英文摘要：

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.