A New DY Conjugate Gradient Method and Applications to Image Denoising

Wei XUE  Junhong REN  Xiao ZHENG  Zhi LIU  Yueyong LIANG  

Publication
IEICE TRANSACTIONS on Information and Systems   Vol.E101-D    No.12    pp.2984-2990
Publication Date: 2018/12/01
Publicized: 2018/09/14
Online ISSN: 1745-1361
DOI: 10.1587/transinf.2018EDP7210
Type of Manuscript: PAPER
Category: Fundamentals of Information Systems
Keyword: 
unconstrained optimization,  conjugate gradient method,  line search,  image denoising,  

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Summary: 
Dai-Yuan (DY) conjugate gradient method is an effective method for solving large-scale unconstrained optimization problems. In this paper, a new DY method, possessing a spectral conjugate parameter βk, is presented. An attractive property of the proposed method is that the search direction generated at each iteration is descent, which is independent of the line search. Global convergence of the proposed method is also established when strong Wolfe conditions are employed. Finally, comparison experiments on impulse noise removal are reported to demonstrate the effectiveness of the proposed method.