A Posteriori Parameter Choice Strategy for Nonlinear Monotone Operator Equations

作     者：Hong-qi Yang, Zong-yi HouDepartment of Scientific Computing & Computer Applications, Zhongshan University, Guangzhou 510275,ChinaDepartment of Mathematics, Pudan University, Shanghai 200433, China 

作者机构：Department of Scientific Computing & Computer Applications Zhongshan University Guangzhou China Department of Mathematics Fudan University Shanghai China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2002年第18卷第2期

页      面：289-294页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Partially supported by the Young Teachers Foundation of Zhongshan University 

主　　题：Nonlinear operator equation monotone operator convergence rate a posteriori parameter choice 

摘      要：In this paper we present an a posteriori parameter choice strategy for nonlinear ill-posed operator equations involving monotone operators. Under certain conditions, this a posteriori parameter choice strategy guarantees the optimal convergence rate O (δ1/2) for Tikhonov-Browder regularization, where δ denotes the noise level of the data perturbation.