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Todesco, Chiara (2019) Extrapolation methods for quasi-variational inequalities. [Magistrali biennali]

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Abstract

Quasi-Variational Inequalities (QVIs) represent a very important tool to model different classes of quasi-equilibrium problems. Since QVIs can be reformulated as fixed point problems, they can be solve using fixed point methods. We hence focus on fixed point methods and, more specifically, on projection methods. In some cases, projection-based approaches for QVIs, do not seem to guarantee good practical performance. Aim of this thesis is to improve effectiveness and robustness of those methods by using extrapolation techniques. Finally some numerical results are displayed to show the behavior of some algorithms combined with two types of acceleration to solve generalized Nash equilibrium problems.

Item Type:Magistrali biennali
Corsi di Diploma di Laurea:Scuola di Scienze > Matematica
Uncontrolled Keywords:Quasi-Variational Inequalities, projection methods. extrapolation
Subjects:Area 01 - Scienze matematiche e informatiche > MAT/09 Ricerca operativa
Codice ID:63102
Relatore:Rinaldi, Francesco
Correlatore:Cipolla, Stefano
Data della tesi:18 October 2019
Biblioteca:Polo di Scienze > Biblioteca di Matematica
Tesi sperimentale (Si) o compilativa (No)?:No

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