Numerical comparison of generalized Newton-type methods and the extragradient algorithm for the nonlinear complementarity problem

In this paper we carry out a numerical comparison of two generalized Newton-type methods, which use the minimum complementarity and Fisher-Burmeister functions, respectively, and a method that uses projections called the extragradient algorithm. Since the nonlinear complementarity problem is of great interest to many researchers due to its numerous applications in Engineering and Physics, we present a comparative numerical study that allows choosing one of the methods according to the need.