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A New Hybrid PRPFR Conjugate Gradient Method for Solving Nonlinear Monotone Equations and Image Restoration Problems
Joint Authors
Li, Xiangrong
Zhou, Yingjie
Wu, Yulun
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-25
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A new hybrid PRPFR conjugate gradient method is presented in this paper, which is designed such that it owns sufficient descent property and trust region property.
This method can be considered as a convex combination of the PRP method and the FR method while using the hyperplane projection technique.
Under accelerated step length, the global convergence property is gained with some appropriate assumptions.
Comparing with other methods, the numerical experiments show that the PRPFR method is more competitive for solving nonlinear equations and image restoration problems.
American Psychological Association (APA)
Zhou, Yingjie& Wu, Yulun& Li, Xiangrong. 2020. A New Hybrid PRPFR Conjugate Gradient Method for Solving Nonlinear Monotone Equations and Image Restoration Problems. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1196748
Modern Language Association (MLA)
Zhou, Yingjie…[et al.]. A New Hybrid PRPFR Conjugate Gradient Method for Solving Nonlinear Monotone Equations and Image Restoration Problems. Mathematical Problems in Engineering No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1196748
American Medical Association (AMA)
Zhou, Yingjie& Wu, Yulun& Li, Xiangrong. A New Hybrid PRPFR Conjugate Gradient Method for Solving Nonlinear Monotone Equations and Image Restoration Problems. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1196748
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196748