A new hybrid PRPFR conjugate gradient method for solving nonlinear monotone equations and image restoration problems
type: Item
instance of: scholarly article
title: A new hybrid PRPFR conjugate gradient method for solving nonlinear monotone equations and image restoration problems
zbMATH Open document ID: 1459.65095
DOI: 10.1155/2020/6391321
author: Yingjie Zhou
author: Yulun Wu
author: Xiangrong Li
published in: Mathematical Problems in Engineering
publication date: 2020-10-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 90C52
Mathematics Subject Classification ID: 90C53
Mathematics Subject Classification ID: 94A08
zbMATH DE Number: 7260871
Wikidata QID: Q113078499
describes a project that uses: SCALCG
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/6391321
OpenAlex ID: W3088566996
cites work: A conjugate gradient method to solve convex constrained monotone equations with applications in compressive sensing
cites work: Chemical equilibrium systems as numerical test problems
cites work: Convergence Theory of Nonlinear Newton–Krylov Algorithms
cites work: A modified BFGS method and its global convergence in nonconvex minimization
cites work: Convergence Properties of Nonlinear Conjugate Gradient Methods
cites work: Q4840579
cites work: Function minimization by conjugate gradients
cites work: Methods of conjugate gradients for solving linear systems
cites work: Efficient generalized conjugate gradient algorithms. I: Theory
cites work: Q5563083
cites work: The PRP conjugate gradient algorithm with a modified WWP line search and its application in the image restoration problems
cites work: Family weak conjugate gradient algorithms and their convergence analysis for nonconvex functions
cites work: The global convergence of the Polak-Ribière-Polyak conjugate gradient algorithm under inexact line search for nonconvex functions
cites work: A descent Dai-Liao conjugate gradient method for nonlinear equations
cites work: An improved three-term derivative-free method for solving nonlinear equations
cites work: A conjugate gradient algorithm for large-scale nonlinear equations and image restoration problems
cites work: A three-terms Polak-Ribière-Polyak conjugate gradient algorithm for large-scale nonlinear equations
cites work: Efficient hybrid conjugate gradient techniques
cites work: An efficient hybrid conjugate gradient method for unconstrained optimization
cites work: Q4252831
cites work: A self-adaptive three-term conjugate gradient method for monotone nonlinear equations with convex constraints
cites work: A projection method for a system of nonlinear monotone equations with convex constraints
cites work: A new hybrid conjugate gradient method for large-scale unconstrained optimization problem with non-convex objective function
cites work: A spectral conjugate gradient method for unconstrained optimization
cites work: Another conjugate gradient algorithm with guaranteed descent and conjugacy conditions for large-scale unconstrained optimization
cites work: Limited memory BFGS method with backtracking for symmetric nonlinear equations
cites work: A descent modified Polak–Ribière–Polyak conjugate gradient method and its global convergence
cites work: Benchmarking optimization software with performance profiles.
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description: scientific article; zbMATH DE number 7260871