An Adaptive Prediction-Correction Method for Solving Large-Scale Nonlinear Systems of Monotone Equations with Applications
Joint Authors
Song, Yisheng
Niu, Shanzhou
Yu, Gaohang
Ma, Jianhua
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-08
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Combining multivariate spectral gradient method with projection scheme, this paper presents an adaptive prediction-correction method for solving large-scale nonlinear systems of monotone equations.
The proposed method possesses some favorable properties: (1) it is progressive step by step, that is, the distance between iterates and the solution set is decreasing monotonically; (2) global convergence result is independent of the merit function and its Lipschitz continuity; (3) it is a derivative-free method and could be applied for solving large-scale nonsmooth equations due to its lower storage requirement.
Preliminary numerical results show that the proposed method is very effective.
Some practical applications of the proposed method are demonstrated and tested on sparse signal reconstruction, compressed sensing, and image deconvolution problems.
American Psychological Association (APA)
Yu, Gaohang& Niu, Shanzhou& Ma, Jianhua& Song, Yisheng. 2013. An Adaptive Prediction-Correction Method for Solving Large-Scale Nonlinear Systems of Monotone Equations with Applications. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-485648
Modern Language Association (MLA)
Yu, Gaohang…[et al.]. An Adaptive Prediction-Correction Method for Solving Large-Scale Nonlinear Systems of Monotone Equations with Applications. Abstract and Applied Analysis No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-485648
American Medical Association (AMA)
Yu, Gaohang& Niu, Shanzhou& Ma, Jianhua& Song, Yisheng. An Adaptive Prediction-Correction Method for Solving Large-Scale Nonlinear Systems of Monotone Equations with Applications. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-485648
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485648