Dogleg paths and trust region methods with back tracking technique for unconstrained optimization

DOI10.1016/j.amc.2005.10.044zbMath1101.65065OpenAlexW2027903708MaRDI QIDQ2496353

Cheng-Jing Wang

Publication date: 12 July 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.10.044

zbMATH Keywords

algorithmunconstrained optimizationglobal convergencenumerical resultstrust region methodnegative curvaturecurvilinear searchline search techniquesfactorization of indefinite matrices

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Methods of successive quadratic programming type (90C55)

Related Items (1)

A curvilinear method based on minimal-memory BFGS updates

Uses Software

• minpack

Cites Work

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• Approximate solution of the trust region problem by minimization over two-dimensional subspaces
• On the closed form solution of Troesch's problem
• Decomposition of a symmetric matrix
• Nonmonotonic trust region algorithm
• Nonmonotone backtracking inexact quasi-Newton algorithms for solving smooth nonlinear equations
• Nonmonotone adaptive trust-region method for unconstrained optimization problems
• Nonmonotone trust region method for solving optimization problems
• Testing Unconstrained Optimization Software
• A Class of Indefinite Dogleg Path Methods for Unconstrained Minimization
• A Nonmonotone Line Search Technique for Newton’s Method
• Curvilinear path and trust region in unconstrained optimization: A convergence analysis
• Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations

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