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

作者：Wu Min^*

来源：Applied Mathematics and Computation, 2008, 200(1): 80-86.

DOI：10.1016/j.amc.2007.10.057

• Banach space
• nonlinear equations
• inexact Newton methods
• semi-local convergence
• weak Lipschitz condition

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.

• 出版日期2008-6-15
• 单位浙江大学