On convergence of a smoothing Broyden-like method for \(P_0\)-NCP

DOI10.1016/j.nonrwa.2007.01.008zbMath1190.90241OpenAlexW2007201402MaRDI QIDQ933555

Jia Tang, Xiaohong Chen, Chang-Feng Ma

Publication date: 21 July 2008

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.01.008

zbMATH Keywords

global convergencenonlinear complementarity problemsuperlinear convergence

Mathematics Subject Classification ID

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

Related Items (11)

A double nonmonotone quasi-Newton method for nonlinear complementarity problem based on piecewise NCP functions ⋮ The numerical study of a regularized smoothing Newton method for solving \(P_{0}\)-NCP based on the generalized smoothing Fischer-Burmeister function ⋮ A globally and superlinearly convergent quasi-Newton method for general box constrained variational inequalities without smoothing approximation ⋮ A new smoothing Broyden-like method for solving nonlinear complementarity problem with a \(P_{0}\)-function ⋮ A smoothing Broyden-like method with a nonmonotone derivative-free line search for nonlinear complementarity problems ⋮ A nonmonotone Jacobian smoothing inexact Newton method for NCP ⋮ A new smoothing Broyden-like method for solving the mixed complementarity problem with a \(P_{0}\)-function ⋮ Modified modulus-based matrix splitting algorithms for a class of weakly nondifferentiable nonlinear complementarity problems ⋮ The convergence of a smoothing damped Gauss-Newton method for nonlinear complementarity problem ⋮ The modulus-based matrix splitting algorithms for a class of weakly nonlinear complementarity problems ⋮ One-step smoothing Newton method for solving the mixed complementarity problem with a \(P_{0}\) function

Cites Work

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• A nonsmooth version of Newton's method
• On P- and S-functions and related classes of \(n\)-dimensional nonlinear mappings
• A filter method for solving nonlinear complementarity problems
• A Non-Interior-Point Continuation Method for Linear Complementarity Problems
• Optimization and nonsmooth analysis
• A derivative-free line search and global convergence of Broyden-like method for nonlinear equations
• Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
• Global Convergence Properties of Some Iterative Methods for Linear Complementarity Problems

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