A family of hybrid conjugate gradient methods for unconstrained optimization

DOI10.1090/S0025-5718-03-01491-1zbMath1014.49024OpenAlexW2094930482MaRDI QIDQ4806389

Yu-Hong Dai

Publication date: 14 May 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01491-1

zbMATH Keywords

unconstrained optimizationglobal convergenceconjugate gradient methodline searchdescent property

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37)

Related Items (7)

New hybrid conjugate gradient method as a convex combination of LS and FR methods ⋮ A Benchmark Study on Steepest Descent and Conjugate Gradient Methods-Line Search Conditions Combinations in Unconstrained Optimization ⋮ On probabilities in biology and physics ⋮ A Dai-Yuan conjugate gradient algorithm with sufficient descent and conjugacy conditions for unconstrained optimization ⋮ An efficient modified PRP-FR hybrid conjugate gradient method for solving unconstrained optimization problems ⋮ Convergence of the descent Dai–Yuan conjugate gradient method for unconstrained optimization ⋮ A new family of conjugate gradient methods

Uses Software

• minpack

Cites Work

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• A class of globally convergent conjugate gradient methods
• Efficient generalized conjugate gradient algorithms. I: Theory
• Efficient hybrid conjugate gradient techniques
• A three-parameter family of nonlinear conjugate gradient methods
• Global Convergence of a Cass of Quasi-Newton Methods on Convex Problems
• 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
• A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
• Function minimization by conjugate gradients
• The Convergence of a Class of Double-rank Minimization Algorithms
• Methods of conjugate gradients for solving linear systems
• New properties of a nonlinear conjugate gradient method
• An efficient hybrid conjugate gradient method for unconstrained optimization

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