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信赖域方法在Hölderian局部误差界下的收敛性质

本站小编 Free考研考试/2021-12-27

马积瑞, 范金燕
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.

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

Ma Jirui, Fan Jinyan
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:2020-05-11Online:2021-11-14Published:2021-11-12







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信赖域方法是求解非线性方程组的一种重要方法.本文研究了求解非线性方程组的信赖域半径趋于零的信赖域算法在Jacobi矩阵Hölderian连续条件下的全局收敛性质,以及其在Hölderian局部误差界和Jacobi矩阵Hölderian连续条件下的收敛速度.
MR(2010)主题分类:
65K05
90C30
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