A New Hybrid PRPFR Conjugate Gradient Method for Solving Nonlinear Monotone Equations and Image Restoration Problems

A New Hybrid PRPFR Conjugate Gradient Method for Solving Nonlinear Monotone Equations and Image Restoration Problems

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 techniqu...

Full description

Bibliographic Details
Main Authors: Yingjie Zhou, Yulun Wu, Xiangrong Li
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/6391321
id doaj-2c88fbed40d6460590704ae156d2f741
record_format Article
spelling doaj-2c88fbed40d6460590704ae156d2f7412020-11-25T03:59:17ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/63913216391321A New Hybrid PRPFR Conjugate Gradient Method for Solving Nonlinear Monotone Equations and Image Restoration ProblemsYingjie Zhou0Yulun Wu1Xiangrong Li2College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, ChinaA 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.http://dx.doi.org/10.1155/2020/6391321
collection DOAJ
language English
format Article
sources DOAJ
author Yingjie Zhou
Yulun Wu
Xiangrong Li
spellingShingle Yingjie Zhou
Yulun Wu
Xiangrong Li
A New Hybrid PRPFR Conjugate Gradient Method for Solving Nonlinear Monotone Equations and Image Restoration Problems
Mathematical Problems in Engineering
author_facet Yingjie Zhou
Yulun Wu
Xiangrong Li
author_sort Yingjie Zhou
title A New Hybrid PRPFR Conjugate Gradient Method for Solving Nonlinear Monotone Equations and Image Restoration Problems
title_short A New Hybrid PRPFR Conjugate Gradient Method for Solving Nonlinear Monotone Equations and Image Restoration Problems
title_full A New Hybrid PRPFR Conjugate Gradient Method for Solving Nonlinear Monotone Equations and Image Restoration Problems
title_fullStr A New Hybrid PRPFR Conjugate Gradient Method for Solving Nonlinear Monotone Equations and Image Restoration Problems
title_full_unstemmed A New Hybrid PRPFR Conjugate Gradient Method for Solving Nonlinear Monotone Equations and Image Restoration Problems
title_sort new hybrid prpfr conjugate gradient method for solving nonlinear monotone equations and image restoration problems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description 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.
url http://dx.doi.org/10.1155/2020/6391321
work_keys_str_mv AT yingjiezhou anewhybridprpfrconjugategradientmethodforsolvingnonlinearmonotoneequationsandimagerestorationproblems
AT yulunwu anewhybridprpfrconjugategradientmethodforsolvingnonlinearmonotoneequationsandimagerestorationproblems
AT xiangrongli anewhybridprpfrconjugategradientmethodforsolvingnonlinearmonotoneequationsandimagerestorationproblems
AT yingjiezhou newhybridprpfrconjugategradientmethodforsolvingnonlinearmonotoneequationsandimagerestorationproblems
AT yulunwu newhybridprpfrconjugategradientmethodforsolvingnonlinearmonotoneequationsandimagerestorationproblems
AT xiangrongli newhybridprpfrconjugategradientmethodforsolvingnonlinearmonotoneequationsandimagerestorationproblems
_version_ 1715073273584156672

Similar Items