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A Preconditioning Technique for First-Order Primal-Dual Splitting Method in Convex Optimization
Joint Authors
Jigen, Peng
Yue, Shigang
Zhu, Chuanxi
Wen, Meng
Tang, Yuchao
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-03
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We introduce a preconditioning technique for the first-order primal-dual splitting method.
The primal-dual splitting method offers a very general framework for solving a large class of optimization problems arising in image processing.
The key idea of the preconditioning technique is that the constant iterative parameters are updated self-adaptively in the iteration process.
We also give a simple and easy way to choose the diagonal preconditioners while the convergence of the iterative algorithm is maintained.
The efficiency of the proposed method is demonstrated on an image denoising problem.
Numerical results show that the preconditioned iterative algorithm performs better than the original one.
American Psychological Association (APA)
Wen, Meng& Jigen, Peng& Tang, Yuchao& Zhu, Chuanxi& Yue, Shigang. 2017. A Preconditioning Technique for First-Order Primal-Dual Splitting Method in Convex Optimization. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1190246
Modern Language Association (MLA)
Wen, Meng…[et al.]. A Preconditioning Technique for First-Order Primal-Dual Splitting Method in Convex Optimization. Mathematical Problems in Engineering No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1190246
American Medical Association (AMA)
Wen, Meng& Jigen, Peng& Tang, Yuchao& Zhu, Chuanxi& Yue, Shigang. A Preconditioning Technique for First-Order Primal-Dual Splitting Method in Convex Optimization. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1190246
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190246