A globally convergent Levenberg-Marquardt method for solving nonlinear complementarity problem

DOI10.1016/j.amc.2007.03.014zbMath1193.90205OpenAlexW1997149593MaRDI QIDQ990536

Jia Tang, Xiaohong Chen, Chang-Feng Ma

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.03.014

zbMATH Keywords

global convergencenonlinear complementarity problemsmoothing function

Mathematics Subject Classification ID

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

Related Items (13)

Global complexity bound analysis of the Levenberg-Marquardt method for nonsmooth equations and its application to the nonlinear complementarity problem ⋮ A new smoothing Broyden-like method for solving nonlinear complementarity problem with a \(P_{0}\)-function ⋮ THE METHOD OF MULTISCALE ASYMPTOTIC EXPANSIONS FOR THE PROBLEM OF HEAT EXCHANGE IN COMPOSITE PLANE WALL WITH STATIONARY RANDOM FIELDS ⋮ The quadratic convergence of a smoothing Levenberg-Marquardt method for nonlinear complementarity problem ⋮ A new filter-Levenberg-Marquardt method with disturbance for solving nonlinear complementarity problems ⋮ Vibration analysis of nonlinear systems with the bilinear hysteretic oscillator by using incremental harmonic balance method ⋮ Convergence analysis of nonmonotone Levenberg-Marquardt algorithms for complementarity problem ⋮ A smoothing self-adaptive Levenberg-Marquardt algorithm for solving system of nonlinear inequalities ⋮ A Levenberg-Marquardt method for nonlinear complementarity problems based on nonmonotone trust region and line search techniques ⋮ THE METHOD OF MULTI-SCALE ASYMPTOTIC EXPANSIONS AND ITS CORRESPONDING FINITE ELEMENT ALGORITHM FOR THE PROBLEM OF HEAT EXCHANGE IN COMPOSITE PLANE WALL ⋮ SOME ESTIMATES OF A MULTI-SCALE FINITE ELEMENT ALGORITHM FOR ELLIPTIC PROBLEMS WITH RAPIDLY OSCILLATING COEFFICIENTS ⋮ A note on the Levenberg-Marquardt parameter ⋮ The convergence of a smoothing damped Gauss-Newton method for nonlinear complementarity problem

Cites Work

• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Convergence theory for the structured BFGS secant method with an application to nonlinear least squares
• Factorized quasi-Newton methods for nonlinear least squares problems
• Merit functions for semi-definite complementarity problems
• Nonmonotone Levenberg-Marquardt algorithms and their convergence analysis
• Non-interior continuation methods for solving semidefinite complementarity problems
• Non-interior continuation method for solving the monotone semidefinite complementarity problem
• A class of smoothing functions for nonlinear and mixed complementarity problems
• A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
• The Global Linear Convergence of a Noninterior Path-Following Algorithm for Linear Complementarity Problems
• A Noninterior Continuation Method for Quadratic and Linear Programming
• On Homotopy-Smoothing Methods for Box-Constrained Variational Inequalities
• Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities
• A Family of Scaled Factorized Broyden-Like Methods for Nonlinear Least Squares Problems
• Some Noninterior Continuation Methods for Linear Complementarity Problems
• Solving variational inequality problems via smoothing-nonsmooth reformulations
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