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 variational inequalities context and we present some numerical examples.
Data di pubblicazione: | 2007 | |
Titolo: | A nonmonotone semismooth inexact Newton method | |
Autori: | Bonettini, Silvia; Tinti, Federica | |
Rivista: | OPTIMIZATION METHODS & SOFTWARE | |
Keywords: | Semismooth Systems; Inexact Newton Methods; Nonmonotone Convergence; Variational Inequality Problems; Nonlinear Programming Problems. | |
Abstract in inglese: | 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 variational inequalities context and we present some numerical examples. | |
Digital Object Identifier (DOI): | 10.1080/10556780601079258 | |
Handle: | http://hdl.handle.net/11392/524247 | |
Appare nelle tipologie: | 03.1 Articolo su rivista |
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