A variant spectral-type FR conjugate gradient method and its global convergence

DOI10.1016/j.amc.2010.12.028zbMath1210.65112OpenAlexW2043226562MaRDI QIDQ628913

Aiguo Lu, Xiuyun Zheng, Hong-Wei Liu, Wei-jie Cong

Publication date: 8 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.028

zbMATH Keywords

unconstrained optimizationglobal convergenceconjugate gradient methodWolfe line searchArmijo-type line searchFletcher-Reeves (FR) formula

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05)

Related Items (5)

A descent Dai-Liao conjugate gradient method based on a modified secant equation and its global convergence ⋮ Globally convergent modified Perry's conjugate gradient method ⋮ An extension of the Fletcher-Reeves method to linear equality constrained optimization problem ⋮ A novel method of dynamic force identification and its application ⋮ A modified Perry conjugate gradient method and its global convergence

Uses Software

• minpack
• SCALCG

Cites Work

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• New nonlinear conjugate gradient formulas for large-scale unconstrained optimization problems
• New conjugacy condition and related new conjugate gradient methods for unconstrained optimization
• Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search
• The Barzilai and Borwein Gradient Method for the Large Scale Unconstrained Minimization Problem
• Descent Property and Global Convergence of the Fletcher—Reeves Method with Inexact Line Search
• Testing Unconstrained Optimization Software
• Function minimization by conjugate gradients
• A spectral conjugate gradient method for unconstrained optimization

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