A modified Tikhonov regularization method

被引：21
|
作者：
Yang, Xiao-Juan [1 ,2 ]
Wang, Li [1 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R China
[2] Nanjing Normal Univ, Taizhou Coll, Sch Math Sci, Taizhou 225300, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2015年 / 288卷
基金：
中国国家自然科学基金;
关键词：
Tikhonov regularization; TSVD; Discrepancy principle; GCV; Arnoldi-based hybrid method; ILL-POSED PROBLEMS; NUMERICAL-SOLUTION; LINEAR-SYSTEMS; GMRES;
D O I：
10.1016/j.cam.2015.04.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Tikhonov regularization and truncated singular value decomposition (TSVD) are two elementary techniques for solving a least squares problem from a linear discrete ill-posed problem. Based on these two techniques, a modified regularization method is proposed, which is applied to an Arnoldi-based hybrid method. Theoretical analysis and numerical examples are presented to illustrate the effectiveness of the method. (C) 2015 Elsevier B.V. All rights reserved.
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页码：180 / 192
页数：13
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