A new version of the Liu-Storey conjugate gradient method

DOI10.1016/j.amc.2006.11.098zbMath1128.65045OpenAlexW2167533648MaRDI QIDQ2381321

Guoyin Li, Chun-Ming Tang, Zeng-xin Wei

Publication date: 17 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.11.098

zbMATH Keywords

global convergencenumerical resultsnonconvex optimizationinexact line searchLiu-Storey conjugate gradient method

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26)

Related Items (5)

A sufficient descent Dai-Yuan type nonlinear conjugate gradient method for unconstrained optimization problems ⋮ Global convergence of a modified conjugate gradient method ⋮ Two new conjugate gradient methods for unconstrained optimization ⋮ Some global convergence properties of the Wei-Yao-Liu conjugate gradient method with inexact line search ⋮ Two modified nonlinear conjugate gradient methods with disturbance factors for unconstrained optimization

Uses Software

• minpack

Cites Work

• Efficient generalized conjugate gradient algorithms. I: Theory
• An SQP-type method and its application in stochastic programs
• Minimization of functions having Lipschitz continuous first partial derivatives
• Global convergence of the Polak-Ribière-Polyak conjugate gradient method with an Armijo-type inexact line search for nonconvex unconstrained optimization problems
• Testing Unconstrained Optimization Software
• A modification of Armijo's step-size rule for negative curvature
• Restart procedures for the conjugate gradient method
• A Nonmonotone Line Search Technique for Newton’s Method
• A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
• Function minimization by conjugate gradients
• The conjugate gradient method in extremal problems
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