A Modified Dai–Liao Conjugate Gradient Method with a New Parameter for Solving Image Restoration Problems. (18th September 2020)

• Record Type: Journal Article
• Authors: Lu, Junyu; Li, Yong; Pham, Hongtruong
• Other Names: Zhang Maojun Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2020(2020)
• Publication Date: 2020-09-18
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2020/6279543
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : One adaptive choice for the parameter of the Dai–Liao conjugate gradient method is suggested in this paper, which is obtained with modified quasi–Newton equation. So we get a modified Dai–Liao conjugate gradient method. Some interesting features of the proposed method are introduced: (i) The value of parameter t of the modified Dai–Liao conjugate gradient method takes both the gradient and function value information. (ii) We establish the global convergence property of the modified Dai–Liao conjugate gradient method under some suitable assumptions. (iii) Numerical results show that the modified DL method is effective in practical computation and the image restoration problems.