Generalized Newton’s method for solving nonlinear and nondifferentiable algebraic systems

Nicolae Pop

doi:10.33993/jnaat441-1058

Authors

Nicolae Pop Technical University of Cluj-Napoca, Romania

DOI:

https://doi.org/10.33993/jnaat441-1058

Keywords:

generalized derivatives, quasi-Newton method, variational problem

Abstract views: 290

Abstract

In this paper a model based on non-smooth equations is proposed for solving a non-linear and non-differential equation obtained by discretization of a quasi-variational inequality that models the frictional contact problem. The main aim of this paper is to show that the Newton method based on the plenary hull of the Clarke generalized Jacobians (the non-smooth damped Newton method) can be implemented for solving Lipschitz non-smooth equation.

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References

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