A global convergence theory for an active-trust-region algorithm for solving the general nonlinear programing problem.

DOI10.1016/S0096-3003(02)00397-1zbMath1110.65049OpenAlexW2089349395MaRDI QIDQ1398662

Bothina El-Sobky

Publication date: 7 August 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00397-1

zbMATH Keywords

global convergenceconstrained optimizationstationary pointstrust region algorithmactive set strategyFritz-John points

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Interior-point methods (90C51)

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Cites Work

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• Projected quasi-Newton algorithm with trust region for constrained optimization
• A globally convergent method for nonlinear programming
• On the convergence of a new trust region algorithm
• On the convergence of a sequential quadratic programming method with an augmented lagrangian line search function
• A Global Convergence Theory for General Trust-Region-Based Algorithms for Equality Constrained Optimization
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• Algorithms for nonlinear constraints that use lagrangian functions
• A Trust-Region Approach to Nonlinear Systems of Equalities and Inequalities
• A Global Convergence Theory for Dennis, El-Alem, and Maciel's Class of Trust-Region Algorithms for Constrained Optimization without Assuming Regularity
• A Robust Trust-Region Algorithm with a Nonmonotonic Penalty Parameter Scheme for Constrained Optimization
• A Global Convergence Theory for the Celis–Dennis–Tapia Trust-Region Algorithm for Constrained Optimization
• Equivalence in nonlinear programming
• A method for the solution of certain non-linear problems in least squares