A convergence theorem for the inexact Newton methods based on Holder continuous Frechet derivative

作者：Zhou, Jiali^*; Zhang, Shuyou; Yang, Guoping; Tan, Jianrong

来源：Applied Mathematics and Computation, 2008, 197(1): 206-211.

DOI：10.1016/j.amc.2007.07.084

• inexact Newton method
• nonlinear equations
• semi-local convergence
• Holder continuous
• affine invariant

In this paper, we give a new semi-local convergence theorem for inexact Newton method under the assumption that the Frechet derivative f' is Holder continuous. An affine invariant theorem for inexact Newton method and some corollaries are given as well.

• 出版日期2008-3-15
• 单位浙江中医药大学; 浙江大学