A nonmonotone semismooth inexact Newton method
In this article, we propose a variant of the inexact Newton method for the solution of semismooth nonlinear systems of equations. We introduce a nonmonotone scheme, which couples the inexact features with the nonmonotone strategies. For the nonmonotone scheme, we present the convergence theorems. Finally, we show how we can apply these strategies in the variational inequalities context and we present some numerical examples.
inexact newton methods semismooth systems normonotone convergence variational inequality problems nonlinear programming problems