On the global convergence of a Levenberg-Marquardt method for constrained nonlinear equations

DOI10.1007/BF02936160zbMath1129.90354MaRDI QIDQ1885077

Zhensheng Yu

Publication date: 28 October 2004

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

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10) Methods of quasi-Newton type (90C53)

Related Items (3)

A hybrid method for solving systems of nonsmooth equations with box constraints ⋮ A new smoothing Newton method for solving constrained nonlinear equations ⋮ An adaptive approach of conic trust-region method for unconstrained optimization problems

Cites Work

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• Levenberg--Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints
• An inexact QP-based method for nonlinear complementarity problems
• A simply constrained optimization reformulation of KKT systems arising from variational inequalities
• Handbook of test problems in local and global optimization
• Solving nonlinear systems of equations with simple constraints
• Nonmonotone Trust-Region Methods for Bound-Constrained Semismooth Equations with Applications to Nonlinear Mixed Complementarity Problems
• A Potential Reduction Newton Method for Constrained Equations
• Convergence Properties of the Inexact Levenberg-Marquardt Method under Local Error Bound Conditions
• Strictly feasible equation-based methods for mixed complementarity problems

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