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.

引用

页码：180 / 192

页数：13

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