A superlinearly convergent ODE-type trust region algorithm for nonsmooth nonlinear equations

DOI10.1007/BF02832062zbMath1146.90072OpenAlexW116482770MaRDI QIDQ861492

Yi-gui Ou

Publication date: 29 January 2007

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

Full work available at URL: https://doi.org/10.1007/bf02832062

zbMATH Keywords

superlinear convergencetrust region methodsODE methodsNonsmooth nonlinear equations

Mathematics Subject Classification ID

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

Related Items (5)

Quasi-Newton methods based on ordinary differential equation approach for unconstrained nonlinear optimization ⋮ An ODE-based trust region method for unconstrained optimization problems ⋮ A hybrid method for solving systems of nonsmooth equations with box constraints ⋮ An ODE-Based Trust Region Filter Algorithm for Unconstrained Optimization ⋮ A filter trust region method for solving semi-infinite programming problems

Cites Work

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• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Some effective methods for unconstrained optimization based on the solution of systems of ordinary differential equations
• Superlinearly convergent approximate Newton methods for LC\(^ 1\) optimization problems
• Quasi-Newton trust region algorithm for non-smooth least squares problems
• A nonsmooth version of Newton's method
• Globally Convergent Newton Methods for Nonsmooth Equations
• Trust Region Algorithms for Solving Nonsmooth Equations

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