A new three-term conjugate gradient method

DOI10.1007/BF00941495zbMath0556.90077OpenAlexW2090988481MaRDI QIDQ761255

D. Kharzeev

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf00941495

zbMATH Keywords

unconstrained optimizationconjugate gradient algorithmpreconditioning matricesNazareth three- term formularestart tests

Mathematics Subject Classification ID

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

Related Items (11)

Numerical experience with the truncated Newton method for unconstrained optimization ⋮ Global convergence of the Fletcher-Reeves algorithm with inexact linesearch ⋮ Efficient implementation of a generalized polak-ribière algorithm for nonlinear optimization ⋮ Conjugate gradient methods using quasi-Newton updates with inexact line searches ⋮ Lanczos conjugate-gradient method and pseudoinverse computation on indefinite and singular systems ⋮ Iterative computation of negative curvature directions in large scale optimization ⋮ A review of parallel finite element methods on the DAP ⋮ Efficient generalized conjugate gradient algorithms. II: Implementation ⋮ Two families of scaled three-term conjugate gradient methods with sufficient descent property for nonconvex optimization ⋮ A derivative-based bracketing scheme for univariate minimization and the conjugate gradient method ⋮ Generalized Polak-Ribière algorithm

Cites Work

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• A conjugate direction algorithm without line searches
• Minimization of functions having Lipschitz continuous first partial derivatives
• QN-like variable storage conjugate gradients
• Restart procedures for the conjugate gradient method
• Rate of Convergence of Several Conjugate Gradient Algorithms
• Function minimization by conjugate gradients
• Convergence Conditions for Ascent Methods
• Conjugate Directions without Linear Searches
• Methods of conjugate gradients for solving linear systems

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