Nonmonotone trust region methods with curvilinear path in unconstrained optimization

DOI10.1007/BF02238640zbMath0763.65048OpenAlexW164635304MaRDI QIDQ1195967

Fangjun Zhou, Yi Xiao

Publication date: 11 January 1993

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238640

zbMATH Keywords

unconstrained optimizationtrust regioncurvilinear pathnonmonotone convergence

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30)

Related Items

A class of nonmonotone stabilization trust region methods ⋮ A non-monotone trust region algorithm for unconstrained optimization with dynamic reference iteration updates using filter ⋮ Two globally convergent nonmonotone trust-region methods for unconstrained optimization ⋮ The convergence of subspace trust region methods ⋮ Nonmonotone trust region algorithm for unconstrained optimization problems ⋮ Nonmonotone second-order Wolfe's line search method for unconstrained optimization problems ⋮ An efficient nonmonotone trust-region method for unconstrained optimization ⋮ A nonmonotone trust-region line search method for large-scale unconstrained optimization ⋮ Modified nonmonotone Armijo line search for descent method ⋮ A modified nonmonotone trust region line search method ⋮ Nonmonotone curvilinear line search methods for unconstrained optimization ⋮ A nonmonotone adaptive trust region method and its convergence ⋮ A variant of curved search method ⋮ A relaxed nonmonotone adaptive trust region method for solving unconstrained optimization problems

Uses Software

• GQTPAR

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A truncated Newton method with non-monotone line search for unconstrained optimization
• Two new unconstrained optimization algorithms which use function and gradient values
• A quasi-discrete Newton algorithm with a nonmonotone stabilization technique
• Computing a Trust Region Step
• Avoiding the Maratos Effect by Means of a Nonmonotone Line Search I. General Constrained Problems
• The Conjugate Gradient Method and Trust Regions in Large Scale Optimization
• A Family of Trust-Region-Based Algorithms for Unconstrained Minimization with Strong Global Convergence Properties
• The watchdog technique for forcing convergence in algorithms for constrained optimization
• Newton’s Method with a Model Trust Region Modification
• A Nonmonotone Line Search Technique for Newton’s Method
• Curvilinear path and trust region in unconstrained optimization: A convergence analysis

This page was built for publication: Nonmonotone trust region methods with curvilinear path in unconstrained optimization