Banach空间中半光滑算子方程的不精确牛顿法

摘要

In this paper,we propose two inexact Newton methods for locally Lipschitzian semismooth function and prove their local convergence results under some conditions.The present inexact Newton methods could be viewed as the extensions of previous ones with same convergent results in finite-dimensional space.%本文主要解决Banach空间中抽象的半光滑算子方程的解法.提出了两种不精确牛顿法,它们的收敛性同时得到了证明.这两种方法可以看作是有限维空间中已存在的解半光滑算子方程的方法的延伸.