A smoothing Levenberg-Marquardt method for the extended linear complementarity problem

DOI10.1016/j.apm.2008.11.004zbMath1205.90284OpenAlexW2007192648MaRDI QIDQ965571

Ji Lin, Zhensheng Yu, Ke Su

Publication date: 24 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.apm.2008.11.004

zbMATH Keywords

global convergenceextended linear complementarityLevenberg-Marquardt methodsmoothing functionlocal superlinear convergence

Mathematics Subject Classification ID

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

Related Items

A modified Levenberg-Marquardt method with line search for nonlinear equations ⋮ Smoothing Levenberg-Marquardt method for general nonlinear complementarity problems under local error bound ⋮ Smoothing Newton method for NCP with the identification of degenerate indices ⋮ A new smoothing method for solving nonlinear complementarity problems

Cites Work

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• Successive linearization methods for nonlinear semidefinite programs
• Some optimization reformulations of the extended linear complementarity problem
• Reducing a monotone horizontal LCP to an LCP
• A penalized Fischer-Burmeister NCP-function
• Smoothing trust region methods for nonlinear complementarity problems with \(P_0\)-functions
• On the solution of the extended linear complementarity problem
• Solution of linear complementarity problems using minimization with simple bounds
• On the extended linear complementarity problem
• A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
• A New Merit Function For Nonlinear Complementarity Problems And A Related Algorithm
• A Non-Interior-Point Continuation Method for Linear Complementarity Problems
• A special newton-type optimization method
• Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities
• On a semismooth least squares formulation of complementarity problems with gap reduction
• Inexact semismooth Newton methods for large-scale complementarity problems
• Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
• Some Noninterior Continuation Methods for Linear Complementarity Problems
• The Extended Linear Complementarity Problem
• A smoothing Gauss-Newton method for the generalized HLCP
• On the solution of linear programs by Jacobian smoothing methods