@Article{JCM-16-40, 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/}, url = {http://global-sci.org/intro/article_detail/jcm/9140.html} }