Two families of hybrid conjugate gradient methods with restart procedures and their applications

DOI10.1080/10556788.2023.2189718zbMath1523.90308OpenAlexW4361234123MaRDI QIDQ6078424

Xian-Zhen Jiang, Xiaodi Wu, Jin-Bao Jian, Huihui Yang

Publication date: 27 September 2023

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556788.2023.2189718

zbMATH Keywords

unconstrained optimizationglobal convergenceimage restorationhybrid conjugate gradient methodnonlinear monotone equations

Mathematics Subject Classification ID

Nonlinear programming (90C30)

Cites Work

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• Open problems in nonlinear conjugate gradient algorithms for unconstrained optimization
• Non-smooth equations based method for \(\ell_1\)-norm problems with applications to compressed sensing
• The convergence properties of some new conjugate gradient methods
• Efficient generalized conjugate gradient algorithms. I: Theory
• Hybrid conjugate gradient algorithm for unconstrained optimization
• Efficient hybrid conjugate gradient techniques
• An efficient three-term conjugate gradient method for nonlinear monotone equations with convex constraints
• Multivariate spectral gradient projection method for nonlinear monotone equations with convex constraints
• Hybridization of accelerated gradient descent method
• A hybrid three-term conjugate gradient projection method for constrained nonlinear monotone equations with applications
• Two sufficient descent three-term conjugate gradient methods for unconstrained optimization problems with applications in compressive sensing
• A new family of hybrid three-term conjugate gradient methods with applications in image restoration
• Nonlinear conjugate gradient methods for unconstrained optimization
• A note on hybridization process applied on transformed double step size model
• A conjugate gradient method to solve convex constrained monotone equations with applications in compressive sensing
• Spectral gradient projection method for monotone nonlinear equations with convex constraints
• A conjugate gradient projection method for solving equations with convex constraints
• A derivative-free iterative method for nonlinear monotone equations with convex constraints
• A hybrid conjugate gradient method with descent property for unconstrained optimization
• A modified self-scaling memoryless Broyden-Fletcher-Goldfarb-Shanno method for unconstrained optimization
• A projection method for a system of nonlinear monotone equations with convex constraints
• Another hybrid conjugate gradient algorithm for unconstrained optimization
• A new family of conjugate gradient methods
• Testing Unconstrained Optimization Software
• Restart procedures for the conjugate gradient method
• A class of conjugate gradient methods for convex constrained monotone equations
• Inexact Newton methods for the nonlinear complementarity problem
• A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
• Hybridization rule applied on accelerated double step size optimization scheme
• A new two-parameter family of nonlinear conjugate gradient methods
• A Nonlinear Conjugate Gradient Algorithm with an Optimal Property and an Improved Wolfe Line Search
• A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
• Function minimization by conjugate gradients
• CUTEr and SifDec
• The conjugate gradient method in extremal problems
• Methods of conjugate gradients for solving linear systems
• Benchmarking optimization software with performance profiles.
• An efficient hybrid conjugate gradient method for unconstrained optimization

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