A spectral conjugate gradient method for solving large-scale unconstrained optimization

DOI10.1016/j.camwa.2018.10.002zbMath1442.90149OpenAlexW2898257018MaRDI QIDQ2203770

Yu-Ming Feng, Li-Min Zou, Jin-Kui Liu

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.10.002

zbMATH Keywords

unconstrained optimizationglobal convergencespectral conjugate gradient methodsufficient descentstandard Wolfe line search

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Numerical optimization and variational techniques (65K10) Methods of reduced gradient type (90C52)

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Uses Software

• CUTEr
• SCALCG
• CUTE

Cites Work

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• An improved spectral conjugate gradient algorithm for nonconvex unconstrained optimization problems
• Globally convergent modified Perry's conjugate gradient method
• New spectral PRP conjugate gradient method for unconstrained optimization
• Sufficient descent nonlinear conjugate gradient methods with conjugacy condition
• A scaled BFGS preconditioned conjugate gradient algorithm for unconstrained optimization
• On optimality of the parameters of self-scaling memoryless quasi-Newton updating formulae
• Global convergence of a modified spectral FR conjugate gradient method
• Efficient hybrid conjugate gradient techniques
• Global convergence result for conjugate gradient methods
• Preconditioned spectral gradient method
• A family of conjugate gradient methods for large-scale nonlinear equations
• Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search
• A modified scaled memoryless BFGS preconditioned conjugate gradient method for unconstrained optimization
• A Dai-Yuan conjugate gradient algorithm with sufficient descent and conjugacy conditions for unconstrained optimization
• Two descent hybrid conjugate gradient methods for optimization
• The Barzilai and Borwein Gradient Method for the Large Scale Unconstrained Minimization Problem
• Technical Note—A Modified Conjugate Gradient Algorithm
• Global Convergence Properties of Conjugate Gradient Methods for Optimization
• CUTE
• Nonmonotone Spectral Projected Gradient Methods on Convex Sets
• A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
• Function minimization by conjugate gradients
• The conjugate gradient method in extremal problems
• A spectral conjugate gradient method for unconstrained optimization
• Benchmarking optimization software with performance profiles.