An adaptive approach of conic trust-region method for unconstrained optimization problems

DOI10.1007/BF02935796zbMath1084.65060OpenAlexW2079621417MaRDI QIDQ2574333

Jinhua Fu, Raimundo J. B. de Sampaio, Wen-Yu Sun

Publication date: 21 November 2005

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

Full work available at URL: https://doi.org/10.1007/bf02935796

zbMATH Keywords

unconstrained optimizationnumerical examplesglobal and superlinear convergencetrust region methodconic model

Mathematics Subject Classification ID

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

Related Items

A nonmonotone trust region method based on simple conic models for unconstrained optimization ⋮ The convergence of subspace trust region methods ⋮ A nonmonotone adaptive trust region method for unconstrained optimization based on conic model ⋮ A model-hybrid approach for unconstrained optimization problems ⋮ An adaptive trust region method based on simple conic models ⋮ A nonmonotone weighting self-adaptive trust region algorithm for unconstrained nonconvex optimization ⋮ Nonmonotone adaptive trust region method based on simple conic model for unconstrained optimization ⋮ A CONIC AFFINE SCALING DOGLEG METHOD FOR NONLINEAR OPTIMIZATION WITH BOUND CONSTRAINTS ⋮ A novel self-adaptive trust region algorithm for unconstrained optimization ⋮ Convergence of descent method with new line search

Uses Software

• minpack

Cites Work

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• Nonmonotonic trust region algorithm
• Non-monotone trust-region algorithms for nonlinear optimization subject to convex constraints
• Quasi-Newton trust region algorithm for non-smooth least squares problems
• On the global convergence of a Levenberg-Marquardt method for constrained nonlinear equations
• Global convergence properties of the modified BFGS method associating with general line search model
• Nonmonotone trust region method for solving optimization problems
• An adaptive trust region method and its convergence
• A New Modified Cholesky Factorization
• An adaptive conic trust-region method for unconstrained optimization
• The Conjugate Gradient Method and Trust Regions in Large Scale Optimization
• On the global convergence of trust region algorithms for unconstrained minimization
• Conic Approximations and Collinear Scalings for Optimizers
• The Q-Superlinear Convergence of a Collinear Scaling Algorithm for Unconstrained Optimization
• Testing Unconstrained Optimization Software
• Automatic Determination of an Initial Trust Region in Nonlinear Programming
• Trust Region Methods
• A conic trust-region method for nonlinearly constrained optimization