A Modified Nonlinear Conjugate Gradient Method with the Armijo Line Search and Its Application
Joint Authors
Zhang, Mengxiang
Zhou, Yingjie
Wang, Songhua
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-28
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
In this article, a modified Polak-Ribière-Polyak (PRP) conjugate gradient method is proposed for image restoration.
The presented method can generate sufficient descent directions without any line search conditions.
Under some mild conditions, this method is globally convergent with the Armijo line search.
Moreover, the linear convergence rate of the modified PRP method is established.
The experimental results of unconstrained optimization, image restoration, and compressive sensing show that the proposed method is promising and competitive with other conjugate gradient methods.
American Psychological Association (APA)
Zhang, Mengxiang& Zhou, Yingjie& Wang, Songhua. 2020. A Modified Nonlinear Conjugate Gradient Method with the Armijo Line Search and Its Application. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1196601
Modern Language Association (MLA)
Zhang, Mengxiang…[et al.]. A Modified Nonlinear Conjugate Gradient Method with the Armijo Line Search and Its Application. Mathematical Problems in Engineering No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1196601
American Medical Association (AMA)
Zhang, Mengxiang& Zhou, Yingjie& Wang, Songhua. A Modified Nonlinear Conjugate Gradient Method with the Armijo Line Search and Its Application. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1196601
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196601
