A non-monotone inexact regularized smoothing Newton method for solving nonlinear complementarity problems

DOI10.1080/00207160.2011.599380zbMath1247.90275OpenAlexW1971591265MaRDI QIDQ2885563

Jianguang Zhu, Binbin Hao

Publication date: 23 May 2012

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2011.599380

zbMATH Keywords

global convergencenonlinear complementarity problemlocal superlinear convergencenon-monotone inexact smoothing Newton method

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Cites Work

• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• A regularized smoothing-type algorithm for solving a system of inequalities with a \(P_{0}\)-function
• Predictor-corrector smoothing Newton method, based on a new smoothing function, for solving the nonlinear complementarity problem with a \(P_0\) function
• A regularization Newton method for solving nonlinear complementarity problems
• On the resolution of monotone complementarity problems
• Interior-point methods for nonlinear complementarity problems
• A nonsmooth version of Newton's method
• Regularization of P₀-Functions in Box Variational Inequality Problems
• Weak Univalence and Connectedness of Inverse Images of Continuous Functions
• Computational complexity of LCPs associated with positive definite symmetric matrices
• Semismooth and Semiconvex Functions in Constrained Optimization
• Numerical Optimization
• A Superlinear Infeasible-Interior-Point Algorithm for Monotone Complementarity Problems
• Engineering and Economic Applications of Complementarity Problems
• A Regularized Smoothing Newton Method for Box Constrained Variational Inequality Problems with P0-Functions
• A Nonmonotone Line Search Technique and Its Application to Unconstrained Optimization
• Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
• Global Convergence Properties of Some Iterative Methods for Linear Complementarity Problems
• A smoothing inexact Newton method for nonlinear complementarity problems

This page was built for publication: A non-monotone inexact regularized smoothing Newton method for solving nonlinear complementarity problems