A predictor-corrector smoothing Newton method for solving the mixed complementarity problem with aP0-function

DOI10.1080/00207160802680655zbMath1203.65094OpenAlexW2089947797MaRDI QIDQ3056386

Zhe Du, Jia Tang, Chang-Feng Ma

Publication date: 12 November 2010

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

Full work available at URL: https://doi.org/10.1080/00207160802680655

zbMATH Keywords

global convergencemixed complementarity problemsmoothing functionlocal superlinear convergenceboundedness of iteration sequencepredictor-corrector 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

• Existence and limiting behavior of trajectories associated with \({\mathbf P}_0\)-equations
• 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
• A global linear and local quadratic continuation smoothing method for variational inequalities with box constraints
• Predictor-corrector smoothing methods for linear programs with a more flexible update of the smoothing parameter
• A nonsmooth version of Newton's method
• Regularization of P₀-Functions in Box Variational Inequality Problems
• Optimization and nonsmooth analysis
• Semismooth and Semiconvex Functions in Constrained Optimization
• A Global and Local Superlinear Continuation-Smoothing Method forP₀andR₀NCP or Monotone NCP