A new semi-local convergence theorem for the inexact Newton methods

作者：

Highlights：

•

摘要

We present a new semi-local convergence theorem for the inexact Newton methods in the assumption that the derivative satisfies some kind of weak Lipschitz conditions. As special cases of our main result we re-obtain some well-known convergence theorems for Newton methods.

论文关键词：Banach space,Nonlinear equations,Inexact Newton methods,Semi-local convergence,Weak Lipschitz condition

论文评审过程：Available online 7 November 2007.

论文官网地址：https://doi.org/10.1016/j.amc.2007.10.057