A modified Tikhonov regularization method

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:288

Article

Yang, Xiao-Juan^1,2  Wang, Li¹ 

[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

关键词: Tikhonov regularization;    TSVD;    Discrepancy principle;    GCV;    Arnoldi-based hybrid method;   

DOI  :  10.1016/j.cam.2015.04.011

来源: Elsevier

【 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.

【 授权许可】

Free