一类新的非拟牛顿算法及凸函数的整体收敛性

A class of new non-quadi-Newton methods and its global convergence on convex function

引入了与非拟牛顿算法相结合的一类Goldstein型不精确线搜索 ,并在一目标函数是凸的假设之下 。

In this paper, a class of new non-q uasi-Newton methods with Goldstein line search presented. Under the convex assu mption on objective function, the global convergence of the non-quasi-Newtou m ethods is proved.