Two descent hybrid conjugate gradient methods for optimization

DOI10.1016/j.cam.2007.04.028zbMath1142.65050OpenAlexW1964845142MaRDI QIDQ2483351

Li Zhang, Weijun Zhou

Publication date: 28 April 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.04.028

zbMATH Keywords

global optimizationglobal convergencenumerical resultsnonlinear optimizationconjugate gradient methoddescent direction

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30)

Related Items (11)

A descent hybrid conjugate gradient method based on the memoryless BFGS update ⋮ Nonlinear conjugate gradient methods with Wolfe type line search ⋮ Two families of self-adjusting spectral hybrid DL conjugate gradient methods and applications in image denoising ⋮ A descent Dai-Liao conjugate gradient method based on a modified secant equation and its global convergence ⋮ A spectral conjugate gradient method for solving large-scale unconstrained optimization ⋮ Globally convergent modified Perry's conjugate gradient method ⋮ New hybrid conjugate gradient and Broyden-Fletcher-Goldfarb-Shanno conjugate gradient methods ⋮ A new class of nonmonotone conjugate gradient training algorithms ⋮ A limited memory descent Perry conjugate gradient method ⋮ Two modified spectral conjugate gradient methods and their global convergence for unconstrained optimization ⋮ A modified Perry conjugate gradient method and its global convergence

Uses Software

• CUTEr
• SCALCG
• CUTE

Cites Work

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• Descent Property and Global Convergence of the Fletcher—Reeves Method with Inexact Line Search
• Global Convergence Properties of Conjugate Gradient Methods for Optimization
• CUTE
• A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
• A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
• Function minimization by conjugate gradients
• Convergence Conditions for Ascent Methods
• The conjugate gradient method in extremal problems
• Methods of conjugate gradients for solving linear systems
• 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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