Unconstrained optimization reformulation of the generalized nonlinear complementarity problem and related method

DOI10.1080/02331930500342625zbMath1147.90406OpenAlexW2016646327MaRDI QIDQ3534644

Xinzhen Zhang, Liqun Qi, Y. J. Wang

Publication date: 4 November 2008

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930500342625

Mathematics Subject Classification ID

Nonlinear programming (90C30) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (3)

Superlinear/quadratic smoothing Broyden-like method for the generalized nonlinear complementarity problem ⋮ Quadratic convergence analysis of a nonmonotone Levenberg-Marquardt type method for the weighted nonlinear complementarity problem ⋮ Newton-type interior-point methods for solving generalized complementarity problems in polyhedral cones

Cites Work

• Some optimization reformulations of the extended linear complementarity problem
• Nonlinear complementarity as unconstrained and constrained minimization
• New NCP-functions and their properties
• Minimization of \(SC^ 1\) functions and the Maratos effect
• Nonlinear complementarity as unconstrained optimization
• Equivalence of the generalized complementarity problem to differentiable unconstrained minimization
• On the Resolution of the Generalized Nonlinear Complementarity Problem
• A special newton-type optimization method
• A Trust Region Method for Solving Generalized Complementarity Problems
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Equivalence of Complementarity Problems to Differentiable Minimization: A Unified Approach

This page was built for publication: Unconstrained optimization reformulation of the generalized nonlinear complementarity problem and related method