Smoothing Levenberg-Marquardt method for general nonlinear complementarity problems under local error bound

DOI10.1016/j.apm.2010.09.012zbMath1211.90253OpenAlexW2088143886MaRDI QIDQ534917

Haodong Yu, Pu, Dingguo

Publication date: 10 May 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2010.09.012

zbMATH Keywords

superlinear convergencenonlinear complementarity problemslocal error boundsmoothing methods

Mathematics Subject Classification ID

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

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Cites Work

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• NE/SQP: A robust algorithm for the nonlinear complementarity problem
• A smoothing Levenberg-Marquardt method for the extended linear complementarity problem
• New constrained optimization reformulation of complementarity problems
• An inexact QP-based method for nonlinear complementarity problems
• A QP-free constrained Newton-type method for variational inequality problems
• Error bounds in mathematical programming
• New error bounds and their applications to convergence analysis of iterative algorithms
• Smoothing trust region methods for nonlinear complementarity problems with \(P_0\)-functions
• A class of smoothing functions for nonlinear and mixed complementarity problems
• A smoothing Newton method for general nonlinear complementarity problems
• Numerical experience with Newton-like methods for nonlinear algebraic systems
• A smoothing Levenberg-Marquardt method for NCP
• Optimization and nonsmooth analysis
• Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities
• Jacobian Smoothing Methods for Nonlinear Complementarity Problems
• Convergence Properties of the Inexact Levenberg-Marquardt Method under Local Error Bound Conditions
• Some Noninterior Continuation Methods for Linear Complementarity Problems