Global convergence properties of the two new dependent Fletcher-Reeves conjugate gradient methods

DOI10.1016/j.amc.2006.01.078zbMath1111.65056OpenAlexW2003029626MaRDI QIDQ856066

Shujun Lian, Chang-Yu Wang

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.01.078

zbMATH Keywords

global convergenceline searchFletcher-Reeves conjugate gradient methods

Mathematics Subject Classification ID

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

Uses Software

• L-BFGS
• minpack

Cites Work

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• On the limited memory BFGS method for large scale optimization
• Efficient hybrid conjugate gradient techniques
• Global convergence result for conjugate gradient methods
• Global convergence of the Fletcher-Reeves algorithm with inexact linesearch
• Further insight into the convergence of the Fletcher-Reeves method
• Conditions for Superlinear Convergence in l1 and l  Solutions of Overdetermined Non-linear Equations
• Descent Property and Global Convergence of the Fletcher—Reeves Method with Inexact Line Search
• A Tool for the Analysis of Quasi-Newton Methods with Application to Unconstrained Minimization
• Testing Unconstrained Optimization Software
• Global Convergence Properties of Conjugate Gradient Methods for Optimization
• Restart procedures for the conjugate gradient method
• Convergence Properties of Nonlinear Conjugate Gradient Methods
• Convergence properties of the Fletcher-Reeves method
• Function minimization by conjugate gradients
• Convergence Conditions for Ascent Methods
• Convergence Conditions for Ascent Methods. II: Some Corrections
• The conjugate gradient method in extremal problems
• Global convergence property of \(s\)-dependent GFR conjugate gradient method

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