• 论文 •

### 信赖域方法在Hölderian局部误差界下的收敛性质

1. 上海交通大学数学科学学院, 教育部科学工程计算重点实验室, 上海 200240
• 收稿日期:2020-05-11 出版日期:2021-11-14 发布日期:2021-11-12
• 通讯作者: 范金燕,jyfan@sjtu.edu.cn
• 基金资助:
国家自然科学基金（11971309）资助.

Ma Jirui, Fan Jinyan. ON THE CONVERGENCE OF THE TRUST REGION METHOD UNDER THE HÖLDERIAN ERROR BOUND CONDITION[J]. Mathematica Numerica Sinica, 2021, 43(4): 484-492.

### ON THE CONVERGENCE OF THE TRUST REGION METHOD UNDER THE HÖLDERIAN ERROR BOUND CONDITION

Ma Jirui, Fan Jinyan

1. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China; School of Mathematical Sciences, and MOE-LSC, Shanghai Jiao Tong University, Shanghai 200240, China
• Received:2020-05-11 Online:2021-11-14 Published:2021-11-12

The trust region method is an improtant method for solving nonlinear equations. In this paper, we study the global convergence of the trust region method with trust region converging to zero under the Hölderian continuousness of the Jacobian. The convergence rate of the method is also given under the Hölderian error bound condition.

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