Vector Extrapolation Based Landweber Method for Discrete Ill-Posed Problems
Joint Authors
Deng, Liang-Jian
Gu, Xian-Ming
Huang, Ting-Zhu
Zhao, Xi-le
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-16
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Landweber method is one of the classical iterative methods for solving linear discrete ill-posed problems.
However, Landweber method generally converges very slowly.
In this paper, we present the vector extrapolation based Landweber method, which exhibits fast and stable convergence behavior.
Moreover, a restarted version of the vector extrapolation based Landweber method is proposed for practical considerations.
Numerical results are given to illustrate the benefits of the vector extrapolation based Landweber method.
American Psychological Association (APA)
Zhao, Xi-le& Huang, Ting-Zhu& Gu, Xian-Ming& Deng, Liang-Jian. 2017. Vector Extrapolation Based Landweber Method for Discrete Ill-Posed Problems. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1189480
Modern Language Association (MLA)
Zhao, Xi-le…[et al.]. Vector Extrapolation Based Landweber Method for Discrete Ill-Posed Problems. Mathematical Problems in Engineering No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1189480
American Medical Association (AMA)
Zhao, Xi-le& Huang, Ting-Zhu& Gu, Xian-Ming& Deng, Liang-Jian. Vector Extrapolation Based Landweber Method for Discrete Ill-Posed Problems. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1189480
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1189480
