A new hybrid PRPFR conjugate gradient method for solving nonlinear monotone equations and image restoration problems

DOI10.1155/2020/6391321zbMath1459.65095OpenAlexW3088566996WikidataQ113078499 ScholiaQ113078499MaRDI QIDQ2004132

Xiangrong Li, Yulun Wu, Yingjie Zhou

Publication date: 14 October 2020

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/6391321

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Methods of quasi-Newton type (90C53) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Methods of reduced gradient type (90C52)

Related Items (3)

Another hybrid approach for solving monotone operator equations and application to signal processing ⋮ Globally convergent conjugate gradient algorithms without the Lipschitz condition for nonconvex optimization ⋮ A descent extension of a modified Polak-Ribière-Polyak method with application in image restoration problem

Uses Software

• SCALCG

Cites Work

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• A self-adaptive three-term conjugate gradient method for monotone nonlinear equations with convex constraints
• Another conjugate gradient algorithm with guaranteed descent and conjugacy conditions for large-scale unconstrained optimization
• Limited memory BFGS method with backtracking for symmetric nonlinear equations
• Efficient generalized conjugate gradient algorithms. I: Theory
• Efficient hybrid conjugate gradient techniques
• An improved three-term derivative-free method for solving nonlinear equations
• A conjugate gradient algorithm for large-scale nonlinear equations and image restoration problems
• Family weak conjugate gradient algorithms and their convergence analysis for nonconvex functions
• A conjugate gradient method to solve convex constrained monotone equations with applications in compressive sensing
• The PRP conjugate gradient algorithm with a modified WWP line search and its application in the image restoration problems
• The global convergence of the Polak-Ribière-Polyak conjugate gradient algorithm under inexact line search for nonconvex functions
• A new hybrid conjugate gradient method for large-scale unconstrained optimization problem with non-convex objective function
• A three-terms Polak-Ribière-Polyak conjugate gradient algorithm for large-scale nonlinear equations
• A descent Dai-Liao conjugate gradient method for nonlinear equations
• A projection method for a system of nonlinear monotone equations with convex constraints
• A descent modified Polak–Ribière–Polyak conjugate gradient method and its global convergence
• Convergence Theory of Nonlinear Newton–Krylov Algorithms
• Chemical equilibrium systems as numerical test problems
• Convergence Properties of Nonlinear Conjugate Gradient Methods
• Function minimization by conjugate gradients
• Methods of conjugate gradients for solving linear systems
• A modified BFGS method and its global convergence in nonconvex minimization
• A spectral conjugate gradient method for unconstrained optimization
• Benchmarking optimization software with performance profiles.
• An efficient hybrid conjugate gradient method for unconstrained optimization

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