Generalized Polak-Ribière algorithm

DOI10.1007/BF00941472zbMath0795.90067OpenAlexW2048261871MaRDI QIDQ1321261

V. Pereyra

Publication date: 14 September 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00941472

zbMATH Keywords

unconstrained optimizationconjugate gradient algorithminexact line searches

Mathematics Subject Classification ID

Nonlinear programming (90C30)

Related Items

Convergence conditions, line search algorithms and trust region implementations for the Polak–Ribière conjugate gradient method ⋮ A globally convergent version of the Polak-Ribière conjugate gradient method ⋮ Convergence of the Polak-Ribiére-Polyak conjugate gradient method ⋮ Efficient implementation of a generalized polak-ribière algorithm for nonlinear optimization ⋮ A three-parameter family of nonlinear conjugate gradient methods ⋮ Neural network training and simulation using a multidimensional optimization system ⋮ The PRP conjugate gradient algorithm with a modified WWP line search and its application in the image restoration problems ⋮ A generalized conjugate gradient algorithm ⋮ Unnamed Item ⋮ MERLIN-3. 0. A multidimensional optimization environment ⋮ The modified PRP conjugate gradient algorithm under a non-descent line search and its application in the Muskingum model and image restoration problems

Uses Software

• minpack

Cites Work

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• A new three-term conjugate gradient method
• Efficient generalized conjugate gradient algorithms. II: Implementation
• Conjugate Gradient Methods less Dependent on Conjugacy
• Testing a Class of Methods for Solving Minimization Problems with Simple Bounds on the Variables
• Testing Unconstrained Optimization Software
• On the selection of parameters in Self Scaling Variable Metric Algorithms
• Restart procedures for the conjugate gradient method
• Rate of Convergence of Several Conjugate Gradient Algorithms