A class of trust region methods for linear inequality constrained optimization and its theory analysis. I: Algorithm and global convergence

DOI10.1007/BF02662871zbMath0840.90122OpenAlexW201199686MaRDI QIDQ1906570

Nai-Hua Xiu

Publication date: 4 July 1996

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02662871

zbMATH Keywords

trust region methodslinear inequality constrained problems

Mathematics Subject Classification ID

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

Related Items (2)

A class of trust region methods for linear inequality constrained optimization and its theory analysis. II: Local convergence rate and numerical tests ⋮ A feasible trust region method for nonlinear inequality constrained optimization

Cites Work

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• A super-linear convergent gradient projection type algorithm for linearly constrained problems
• Projected quasi-Newton algorithm with trust region for constrained optimization
• Convergence properties of trust region methods for linear and convex constraints
• A class of trust region methods for linear inequality constrained optimization and its theory analysis. II: Local convergence rate and numerical tests
• An analysis of reduced Hessian methods for constrained optimization
• A Trust Region Algorithm for Nonlinearly Constrained Optimization

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