A convergence theorem for the Newton-like methods under some kind of weak Lipschitz conditions

作者：Wu Min^*

来源：Journal of Mathematical Analysis and Applications, 2008, 339(2): 1425-1431.

DOI：10.1016/j.jmaa.2007.07.073

• banach space
• Newton-like methods
• inexact newton methods
• weak Lipschitz condition

We provide sufficient conditions for the convergence of the Newton-like methods in the assumption that the derivative satisfies some kind of weak Lipschitz conditions. Consequently, some important convergence theorems follow from our main result in this paper.

• 出版日期2008-3-15
• 单位浙江大学