Federica Tinti

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In this work we analyze from the numerical viewpoint the class of projection methods for solving pseudomonotone variational inequality problems. We focus on some specific extragradient-type methods that do not require differentiability of the operator and we address particular attention to the steplength choice. Subsequently, we analyze the hyperplane(More)
In this work 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(More)
The numerical solution of a large scale variational inequality problem can be obtained using the generalisation of an Inexact Newton method applied to a semismooth nonlinear system. This approach requires a sparse and large linear system to be solved at each step. In this work we obtain an approximate solution of this system by the LSQR algorithm of Paige(More)
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