One-step smoothing Newton method for solving the mixed complementarity problem with a \(P_{0}\) function

DOI10.1016/j.amc.2009.08.057zbMath1179.65073OpenAlexW2062317265MaRDI QIDQ1039706

Jia Tang, Chang-Feng Ma, San-Yang Liu

Publication date: 23 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.057

zbMATH Keywords

algorithmrate of convergenceglobal convergencenumerical experimentsmixed complementarity problemlocal superlinear convergenceboundedness of iteration sequenceone-step smoothing Newton methodSmoothing function

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Methods of quasi-Newton type (90C53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (3)

Finite termination of a Newton-type algorithm for a class of affine variational inequality problems ⋮ A smoothing inexact Newton method for nonlinear complementarity problems ⋮ A partially smoothing Jacobian method for nonlinear complementarity problems with \(P_0\) function

Cites Work

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• Predictor-corrector smoothing Newton method, based on a new smoothing function, for solving the nonlinear complementarity problem with a \(P_0\) function
• A nonsmooth version of Newton's method
• Hybrid evolutionary algorithm for solving general variational inequality problems
• Regularization of P₀-Functions in Box Variational Inequality Problems
• Weak Univalence and Connectedness of Inverse Images of Continuous Functions
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• Semismooth and Semiconvex Functions in Constrained Optimization
• Engineering and Economic Applications of Complementarity Problems
• Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations

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