Convergence of nonmonotone line search method

DOI10.1016/j.cam.2005.06.033zbMath1136.90477OpenAlexW2005635176MaRDI QIDQ2493941

Jie Shen, Zhen-Jun Shi

Publication date: 16 June 2006

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

Full work available at URL: https://doi.org/10.1016/j.cam.2005.06.033

zbMATH Keywords

unconstrained optimizationconvergencenonmonotone line searchgeneral line search method

Mathematics Subject Classification ID

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

Related Items (18)

A class of nonmonotone Armijo-type line search method for unconstrained optimization ⋮ A nonmonotone line search slackness technique for unconstrained optimization ⋮ The convergence of conjugate gradient method with nonmonotone line search ⋮ A new nonmonotone spectral projected gradient algorithm for box-constrained optimization problems in \(m \times n\) real matrix space with application in image clustering ⋮ Nonmonotone adaptive trust region method ⋮ On the Hybridization of the Double Step Length Method for Solving System of Nonlinear Equations ⋮ An inexact line search approach using modified nonmonotone strategy for unconstrained optimization ⋮ Multivariate spectral gradient method for unconstrained optimization ⋮ A nonmonotone Jacobian smoothing inexact Newton method for NCP ⋮ An inexact and nonmonotone proximal method for smooth unconstrained minimization ⋮ A nonmonotone PSB algorithm for solving unconstrained optimization ⋮ Modified nonmonotone Armijo line search for descent method ⋮ Sufficient descent directions in unconstrained optimization ⋮ An ODE-based nonmonotone method for unconstrained optimization problems ⋮ A new family of conjugate gradient methods ⋮ A modified nonmonotone BFGS algorithm for solving smooth nonlinear equations ⋮ A nonmonotone line search method and its convergence for unconstrained optimization ⋮ Assessing the potential of interior point barrier filter line search methods: nonmonotoneversusmonotone approach

Uses Software

• CUTEr
• minpack
• CUTE

Cites Work

• Unnamed Item
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• Convergence of line search methods for unconstrained optimization
• A class of gradient unconstrained minimization algorithms with adaptive stepsize
• Minimization of functions having Lipschitz continuous first partial derivatives
• Testing Unconstrained Optimization Software
• On Convergence Properties of Algorithms for Unconstrained Minimization
• Numerical Optimization
• CUTE
• A Nonmonotone Line Search Technique and Its Application to Unconstrained Optimization
• A Nonmonotone Line Search Technique for Newton’s Method
• Convergence Conditions for Ascent Methods
• Convergence Conditions for Ascent Methods. II: Some Corrections
• On Steepest Descent
• On the nonmonotone line search

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