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Modulus-based iterative methods for constrained Tikhonov regularization

文献类型：期刊论文

作者Bai, Zhong-Zhi1; Buccini, Alessandro2; Hayami, Ken3,4; Reichel, Lothar5; Yin, Jun-Feng6; Zheng, Ning3,4
刊名JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
出版日期2017-08-01
卷号319页码:1-13
关键词Discrete ill-posed problem Regularization method Constrained minimization
ISSN号0377-0427
DOI10.1016/j.cam.2016.12.023
英文摘要Tikhonov regularization is one of the most popular methods for the solution of linear discrete ill-posed problems. In many applications the desired solution is known to lie in the nonnegative cone. It is then natural to require that the approXimate solution determined by Tikhonov regularization also lies in this cone. The present paper describes two iterative methods, that employ modulus-based iterative methods, to compute approximate solutions in the nonnegative cone of large-scale Tikhonov regularization problems. The first method considered consists of two steps: first the given linear discrete ill-posed problem is reduced to a small problem by a Krylov subspace method, and then the reduced Tikhonov regularization problems so obtained is solved. The second method described explores the structure of certain image restoration problems. Computed examples illustrate the performances of these methods. (C) 2016 Elsevier B.V. All rights reserved.
资助项目National Natural Science Foundation, P.R. China[11671393] ; MIUR-PRIN[2012MTE38N] ; GNCS of INdAM Project : New aspects of imaging regularization
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000397362900001
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/25206]  
专题计算数学与科学工程计算研究所
通讯作者Buccini, Alessandro
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, POB 2719, Beijing 100190, Peoples R China
2.Univ Insubria, Dipartimento Sci & Alta Tecnol, I-22100 Como, Italy
3.Grad Univ Adv Studies, SOKENDAI, Sch Multidisciplinary Sci, Natl Inst Informat,Chiyoda Ku, 2-1-2 Hitotsubashi, Tokyo 1018430, Japan
4.Grad Univ Adv Studies, SOKENDAI, Sch Multidisciplinary Sci, Dept Informat,Chiyoda Ku, 2-1-2 Hitotsubashi, Tokyo 1018430, Japan
5.Kent State Univ, Dept Math Sci, Kent, OH 44242 USA
6.Tongji Univ, Dept Math, 1239 Siping Rd, Shanghai 200092, Peoples R China
推荐引用方式
GB/T 7714		 Bai, Zhong-Zhi,Buccini, Alessandro,Hayami, Ken,et al. Modulus-based iterative methods for constrained Tikhonov regularization[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2017,319:1-13.
APA Bai, Zhong-Zhi,Buccini, Alessandro,Hayami, Ken,Reichel, Lothar,Yin, Jun-Feng,&Zheng, Ning.(2017).Modulus-based iterative methods for constrained Tikhonov regularization.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,319,1-13.
MLA Bai, Zhong-Zhi,et al."Modulus-based iterative methods for constrained Tikhonov regularization".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 319(2017):1-13.

入库方式： OAI收割

来源：数学与系统科学研究院

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