A parameter choice strategy for a multilevel augmentation method in iterated Lavrentiev regularization

被引：2
作者：
Zeng, Chunmei [1 ]
Luo, Xingjun [1 ]
Yang, Suhua [1 ]
Li, Fanchun [2 ]
机构：
[1] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Peoples R China
[2] Jiangxi Vocat Coll Appl Technol, Dept Elect Informat Engn, Ganzhou 341000, Peoples R China
来源：
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2018年 / 26卷 / 02期
关键词：
Ill-posed integral equations; multilevel augmentation methods; a parameter choice strategy; iterated Lavrentiev regularization; ILL-POSED PROBLEMS; INTEGRAL-EQUATIONS; OPERATOR-EQUATIONS; DISCRETIZATION; PROJECTION; ORDER; KIND;
D O I：
10.1515/jiip-2017-0006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we apply the multilevel augmentation method to solve an ill-posed integral equation via the iterated Lavrentiev regularization. This method leads to fast solutions of discrete iterated Lavrentiev regularization. The convergence rates of the iterated Lavrentiev regularization are achieved by using a certain parameter choice strategy. Finally, numerical experiments are given to illustrate the efficiency of the method.
引用
收藏
页码：153 / 170
页数：18
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