An improved nonlinear conjugate gradient method with an optimal property

DOI10.1007/s11425-013-4682-1zbMath1303.90101OpenAlexW2272058142MaRDI QIDQ476750

CaiXia Kou

Publication date: 2 December 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-013-4682-1

zbMATH Keywords

unconstrained optimizationglobal convergencemodified secant equationCGOPTnonlinear conjugate gradient

Mathematics Subject Classification ID

Nonlinear programming (90C30)

Related Items

Some new three-term Hestenes–Stiefel conjugate gradient methods with affine combination ⋮ A modified Broyden family algorithm with global convergence under a weak Wolfe-Powell line search for unconstrained nonconvex problems ⋮ A convergent hybrid three-term conjugate gradient method with sufficient descent property for unconstrained optimization ⋮ Global convergence of a nonmonotone Broyden family method for nonconvex unconstrained minimization ⋮ An adaptive three-term conjugate gradient method based on self-scaling memoryless BFGS matrix ⋮ An adaptive three-term conjugate gradient method with sufficient descent condition and conjugacy condition ⋮ A class of globally convergent three-term Dai-Liao conjugate gradient methods ⋮ The PRP conjugate gradient algorithm with a modified WWP line search and its application in the image restoration problems ⋮ A new accelerated conjugate gradient method for large-scale unconstrained optimization ⋮ A self-adjusting conjugate gradient method with sufficient descent condition and conjugacy condition

Uses Software

• CUTEr
• SifDec
• CGOPT

Cites Work

• Unnamed Item
• Unnamed Item
• New conjugacy condition and related new conjugate gradient methods for unconstrained optimization
• Two new conjugate gradient methods based on modified secant equations
• New quasi-Newton equation and related methods for unconstrained optimization
• Multi-step quasi-Newton methods for optimization
• Global convergence properties of nonlinear conjugate gradient methods with modified secant condition
• New quasi-Newton methods for unconstrained optimization problems
• A Modified BFGS Algorithm for Unconstrained Optimization
• A nonlinear conjugate gradient method based on the MBFGS secant condition
• Technical Note—A Modified Conjugate Gradient Algorithm
• Global Convergence Properties of Conjugate Gradient Methods for Optimization
• Convergence Properties of the BFGS Algoritm
• A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
• A Nonlinear Conjugate Gradient Algorithm with an Optimal Property and an Improved Wolfe Line Search
• A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
• Function minimization by conjugate gradients
• CUTEr and SifDec
• The conjugate gradient method in extremal problems
• Methods of conjugate gradients for solving linear systems
• New conjugacy conditions and related nonlinear conjugate gradient methods
• A modified BFGS method and its global convergence in nonconvex minimization
• Properties and numerical performance of quasi-Newton methods with modified quasi-Newton equations
• Benchmarking optimization software with performance profiles.

This page was built for publication: An improved nonlinear conjugate gradient method with an optimal property