Smoothing Trust Region Methods for Nonlinear Complementarity Problems with P 0-Functions

2005 ◽  
Vol 133 (1-4) ◽  
pp. 99-117 ◽  
Author(s):  
Yu-Fei Yang ◽  
Liqun Qi
Keyword(s):  
Complementarity Problems ◽  
Trust Region ◽  
Nonlinear Complementarity Problems ◽  
Trust Region Methods ◽  
Nonlinear Complementarity

scholarly journals Convergence Analysis of a Trust-Region Multidimensional Filter Method for Nonlinear Complementarity Problems

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
C. W. Wu ◽  
J. P. Cao ◽  
L. F. Wang
Keyword(s):  
Quadratic Programming ◽  
Convergence Analysis ◽  
Numerical Experiments ◽  
Complementarity Problems ◽  
Trust Region Method ◽  
Trust Region ◽  
Nonlinear Complementarity Problems ◽  
Filter Method ◽  
Nonlinear Complementarity ◽  
Globally Convergent

For solving nonlinear complementarity problems, a new algorithm is proposed by using multidimensional filter techniques and a trust-region method. The algorithm is shown to be globally convergent under the reasonable assumptions and does not depend on any extra restoration procedure. In particular, it shows that the subproblem is a convex quadratic programming problem, which is easier to be solved. The results of numerical experiments show its efficiency.

A new logarithmic-quadratic proximal method for nonlinear complementarity problems

2009 ◽  
Vol 215 (2) ◽  
pp. 695-706 ◽  
Author(s):  
Abdellah Bnouhachem ◽  
Muhammad Aslam Noor ◽  
Mohamed Khalfaoui ◽  
Sheng Zhaohan
Keyword(s):  
Complementarity Problems ◽  
Nonlinear Complementarity Problems ◽  
Proximal Method ◽  
Nonlinear Complementarity
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