A new strategy for solving variational inequalities in bounded polytopes∗

DOI10.1080/01630569508816637zbMath0824.49026OpenAlexW2022921601MaRDI QIDQ4845182

Ana Friedlander, Sandra Augusta Santos, José Mario Martínez

Publication date: 13 November 1995

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569508816637

zbMATH Keywords

algorithmnumerical experimentsoptimality conditionsglobal minimizersstationary pointsvariational inequality problemsbox constrained minimization problembounded polytope

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Variational inequalities (49J40) Newton-type methods (49M15) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

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Cites Work

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• A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity and variational inequality problems
• A new trust region algorithm for bound constrained minimization
• The nonlinear complementarity problem with applications. II
• A Globally Convergent Augmented Lagrangian Algorithm for Optimization with General Constraints and Simple Bounds
• Iterative methods for variational and complementarity problems
• On the Resolution of Linearly Constrained Convex Minimization Problems
• A special newton-type optimization method
• An iterative scheme for variational inequalities
• A variational inequality approach for the determination of oligopolistic market equilibrium