We consider the application of the globalized semismooth Newton method to the solution of (the KKT conditions of) quasi variational inequalities. We show that the method is globally and locally superlinearly convergent for some important classes of quasi variational inequality problems. We report numerical results to illustrate the practical behavior of the method.

The semismooth Newton method for the solution of quasi-variational inequalities / Facchinei, Francisco; Christian, Kanzow; Sebastian, Karl; Sagratella, Simone. - In: COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. - ISSN 0926-6003. - ELETTRONICO. - 62:1(2015), pp. 85-109. [10.1007/s10589-014-9686-4]

The semismooth Newton method for the solution of quasi-variational inequalities

FACCHINEI, Francisco
;
SAGRATELLA, SIMONE
2015

Abstract

We consider the application of the globalized semismooth Newton method to the solution of (the KKT conditions of) quasi variational inequalities. We show that the method is globally and locally superlinearly convergent for some important classes of quasi variational inequality problems. We report numerical results to illustrate the practical behavior of the method.
2015
Global convergence; KKT conditions; Quasi-variational inequality; Semismooth method; Superlinear convergence;
01 Pubblicazione su rivista::01a Articolo in rivista
The semismooth Newton method for the solution of quasi-variational inequalities / Facchinei, Francisco; Christian, Kanzow; Sebastian, Karl; Sagratella, Simone. - In: COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. - ISSN 0926-6003. - ELETTRONICO. - 62:1(2015), pp. 85-109. [10.1007/s10589-014-9686-4]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/763371
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