A generalized Newton method for the solution of a kind of complementarity problem is given. The method is based on a nonsmooth equations reformulation of the problem by F-B function and on a generalized Newton method. The merit function used is a differentiable function. The global convergence and superlinear local convergence results are also given under suitable assumptions. Finally, some numerical results and discussions are presented.
Shou-qiang Du. "Generalized Newton Method for a Kind of Complementarity Problem." Abstr. Appl. Anal. 2014 (SI43) 1 - 5, 2014. https://doi.org/10.1155/2014/745981