Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/6085
Title: An adaptive prediction-correction method for solving large-scale nonlinear systems of monotone equations with applications
Authors: Yu, G
Niu, S
Ma, J
Song, Y
Issue Date: 2013
Publisher: Hindawi Publishing Corporation
Source: Abstract and applied analysis, v. 2013, 619123, p.1-13 How to cite?
Journal: Abstract and applied analysis 
Abstract: 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.
URI: http://hdl.handle.net/10397/6085
ISSN: 1085-3375 (print)
1687-0409 (online)
DOI: 10.1155/2013/619123
Rights: Copyright © 2013 Gaohang Yu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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