Global convergence of a modified Hestenes-Stiefel nonlinear conjugate gradient method with Armijo line search

DOI10.1007/s11075-011-9477-2zbMath1238.65052OpenAlexW2033489465MaRDI QIDQ662895

Zhi-feng Dai, Feng-Hua Wen

Publication date: 13 February 2012

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-011-9477-2

zbMATH Keywords

unconstrained optimizationglobal convergencenumerical resultsArmijo line searchsecant equationsufficient descent property\(R\)-linear convergenceHestenes-Stiefel conjugate gradient method

Mathematics Subject Classification ID

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

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Uses Software

• CUTEr
• CUTE

Cites Work

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• Global convergence of some modified PRP nonlinear conjugate gradient methods
• Convergence of the Polak-Ribiére-Polyak conjugate gradient method
• A descent nonlinear conjugate gradient method for large-scale unconstrained optimization
• A descent spectral conjugate gradient method for impulse noise removal
• A descent modified Polak–Ribière–Polyak conjugate gradient method and its global convergence
• Spectral conjugate gradient methods with sufficient descent property for large-scale unconstrained optimization
• Global Convergence of a Cass of Quasi-Newton Methods on Convex Problems
• A Tool for the Analysis of Quasi-Newton Methods with Application to Unconstrained Minimization
• Global Convergence Properties of Conjugate Gradient Methods for Optimization
• CUTE
• On the Local and Superlinear Convergence of Quasi-Newton Methods
• Convergence Properties of the BFGS Algoritm
• A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
• A COPULA-BASED CORRELATION MEASURE AND ITS APPLICATION IN CHINESE STOCK MARKET
• A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
• Function minimization by conjugate gradients
• Some descent three-term conjugate gradient methods and their global convergence
• A Two-Term PRP-Based Descent Method
• The conjugate gradient method in extremal problems
• Methods of conjugate gradients for solving linear systems
• A modified BFGS method and its global convergence in nonconvex minimization
• Benchmarking optimization software with performance profiles.