An approximate Newton method for solving nonsmooth equations with infinite max functions

Marek J. Śmietański (1)

1 Faculty of Mathematics and Computer Science

In this paper, a new version of approximate Newton method for solving nonsmooth equations with infinite max function is presented. This method uses a difference approximation of the generalized Jacobian based on a weak consistently approximated Jacobian. Numerical example is reported for the Newton method using two versions of approximation.

Mots clés: Physical Sciences

Domaines: Informatique [cs]

Marek J. Śmietański. An approximate Newton method for solving nonsmooth equations with infinite max functions. International Journal of Computer Mathematics, 2011, ⟨10.1080/00207160.2010.541451⟩. ⟨hal-00687735⟩