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Modified Three-Term Liu–Storey Conjugate Gradient Method for Solving Unconstrained Optimization Problems and Image Restoration Problems
Joint Authors
Wu, Yulun
Zhang, Mengxiang
Li, Yan
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-19
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
A new three-term conjugate gradient method is proposed in this article.
The new method was able to solve unconstrained optimization problems, image restoration problems, and compressed sensing problems.
The method is the convex combination of the steepest descent method and the classical LS method.
Without any linear search, the new method has sufficient descent property and trust region property.
Unlike previous methods, the information for the function fx is assigned to dk.
Next, we make some reasonable assumptions and establish the global convergence of this method under the condition of using the modified Armijo line search.
The results of subsequent numerical experiments prove that the new algorithm is more competitive than other algorithms and has a good application prospect.
American Psychological Association (APA)
Wu, Yulun& Zhang, Mengxiang& Li, Yan. 2020. Modified Three-Term Liu–Storey Conjugate Gradient Method for Solving Unconstrained Optimization Problems and Image Restoration Problems. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-20.
https://search.emarefa.net/detail/BIM-1200728
Modern Language Association (MLA)
Wu, Yulun…[et al.]. Modified Three-Term Liu–Storey Conjugate Gradient Method for Solving Unconstrained Optimization Problems and Image Restoration Problems. Mathematical Problems in Engineering No. 2020 (2020), pp.1-20.
https://search.emarefa.net/detail/BIM-1200728
American Medical Association (AMA)
Wu, Yulun& Zhang, Mengxiang& Li, Yan. Modified Three-Term Liu–Storey Conjugate Gradient Method for Solving Unconstrained Optimization Problems and Image Restoration Problems. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-20.
https://search.emarefa.net/detail/BIM-1200728
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1200728