An accelerated double step size model in unconstrained optimization

DOI10.1016/j.amc.2014.10.104zbMath1328.90115OpenAlexW1981917775MaRDI QIDQ902839

Milena J. Petrović

Publication date: 4 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.10.104

zbMATH Keywords

convergence rateNewton methodline searchgradient descent methods

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Numerical optimization and variational techniques (65K10) Methods of quasi-Newton type (90C53)

Related Items (14)

Hybridization rule applied on accelerated double step size optimization scheme ⋮ Unnamed Item ⋮ A transformation of accelerated double step size method for unconstrained optimization ⋮ A two-phase rank-based algorithm for low-rank matrix completion ⋮ On the Hybridization of the Double Step Length Method for Solving System of Nonlinear Equations ⋮ A note on hybridization process applied on transformed double step size model ⋮ Unnamed Item ⋮ Modification of the double direction approach for solving systems of nonlinear equations with application to Chandrasekhar’s Integral equation ⋮ Hybrid modification of accelerated double direction method ⋮ A survey of gradient methods for solving nonlinear optimization ⋮ Hybridization of accelerated gradient descent method ⋮ INITIAL IMPROVEMENT OF THE HYBRID ACCELERATED GRADIENT DESCENT PROCESS ⋮ Modified matrix-free methods for solving system of nonlinear equations ⋮ Accelerated multiple step-size methods for solving unconstrained optimization problems

Cites Work

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• Preconditioned Barzilai-Borwein method for the numerical solution of partial differential equations
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• Two-Point Step Size Gradient Methods
• On the Barzilai and Borwein choice of steplength for the gradient method
• Function minimization by conjugate gradients
• Convergence Conditions for Ascent Methods
• Accelerated gradient descent methods with line search
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