New step lengths in conjugate gradient methods

DOI10.1016/j.camwa.2010.05.003zbMath1201.65079OpenAlexW2003157173MaRDI QIDQ611340

Yun-Da Dong

Publication date: 14 December 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.05.003

zbMATH Keywords

convergenceconjugate gradientstep length\(\mu \)-monotonicity

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical computation of solutions to systems of equations (65H10)

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Cites Work

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• Convergent algorithm based on progressive regularization for solving pseudomonotone variational inequalities
• Efficient generalized conjugate gradient algorithms. I: Theory
• Convergence of PRP method with new nonmonotone line search
• A note on convergence of PRP method with new nonmonotone line search
• A globally convergent version of the Polak-Ribière conjugate gradient method
• Combined relaxation methods for finding equilibrium points and solving related problems
• Descent Property and Global Convergence of the Fletcher—Reeves Method with Inexact Line Search
• Global Convergence Properties of Conjugate Gradient Methods for Optimization
• Numerical Optimization
• Line search algorithms with guaranteed sufficient decrease
• Convergence Properties of Nonlinear Conjugate Gradient Methods
• A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
• Function minimization by conjugate gradients
• The conjugate gradient method in extremal problems
• Methods of conjugate gradients for solving linear systems

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