A conjugate gradient algorithm under Yuan-Wei-Lu line search technique for large-scale minimization optimization models

DOI10.1155/2018/4729318zbMath1427.90294OpenAlexW2782738424MaRDI QIDQ1720966

Zhongzhou Jin, Songhua Wang, Xiangrong Li, Hongtruong Pham

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/4729318

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Large-scale problems in mathematical programming (90C06) Nonconvex programming, global optimization (90C26) Methods of quasi-Newton type (90C53) Methods of reduced gradient type (90C52)

Related Items

Adaptive three-term PRP algorithms without gradient Lipschitz continuity condition for nonconvex functions ⋮ The global convergence of the BFGS method with a modified WWP line search for nonconvex functions ⋮ Family weak conjugate gradient algorithms and their convergence analysis for nonconvex functions ⋮ A three-term conjugate gradient algorithm with quadratic convergence for unconstrained optimization problems ⋮ A descent conjugate gradient algorithm for optimization problems and its applications in image restoration and compression sensing ⋮ The PRP conjugate gradient algorithm with a modified WWP line search and its application in the image restoration problems ⋮ A conjugate gradient algorithm and its applications in image restoration ⋮ A tensor trust-region model for nonlinear system ⋮ The global convergence of the Polak-Ribière-Polyak conjugate gradient algorithm under inexact line search for nonconvex functions ⋮ A modified HZ conjugate gradient algorithm without gradient Lipschitz continuous condition for non convex functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A modified Hestenes and Stiefel conjugate gradient algorithm for large-scale nonsmooth minimizations and nonlinear equations
• A modified three-term PRP conjugate gradient algorithm for optimization models
• Convergence analysis of a modified BFGS method on convex minimizations
• Global convergence of BFGS and PRP methods under a modified weak Wolfe-Powell line search
• A three-terms Polak-Ribière-Polyak conjugate gradient algorithm for large-scale nonlinear equations
• The global convergence of a modified BFGS method for nonconvex functions
• A descent modified Polak–Ribière–Polyak conjugate gradient method and its global convergence
• Function minimization by conjugate gradients
• The conjugate gradient method in extremal problems
• Methods of conjugate gradients for solving linear systems
• Benchmarking optimization software with performance profiles.