@Article{JCM-16-1, author = {Li, Donghui and Zeng, Jinping}, title = {A Penalty Technique for Nonlinear Complementarity Problems}, journal = {Journal of Computational Mathematics}, year = {1998}, volume = {16}, number = {1}, pages = {40--50}, abstract = {

In this paper, we first give a new equivalent optimization form to nonlinear complementarity problems and then establish a damped Newton method in which penalty technique is used. The subproblems of the method are lower-dimensional linear complementarity problems. We prove that the algorithm converges globally for strongly monotone complementarity problems. Under certain conditions, the method possesses quadratic convergence. Few numerical results are also reported.

}, issn = {1991-7139}, doi = {https://doi.org/1998-JCM-9140}, url = {https://global-sci.com/article/85670/a-penalty-technique-for-nonlinear-complementarity-problems} }