Numerical methods for complementarity problems, and optimal control problems under complementarity constraints / El Hassene Osmani  

Public ISBD Titre : Numerical methods for complementarity problems, and optimal control problems under complementarity constraints Type de document : texte imprimé Auteurs : El Hassene Osmani, Auteur ; Naceurdine Bensalem, Directeur de thèse Année de publication : 2022 Importance : 1 vol (159 f .) Format : 29cm Langues : Français (fre) Catégories : Thèses & Mémoires:Mathématique Mots-clés : Interior points methods Linear complementarity problem Index. décimale : 004 - Informatique Résumé : Complementarity problems occur in many scientific fields: economics, physics, transport, game theory, and mathematics. In this thesis, we offer several theoretical, algorithmic, and numerical contributions to solve the complementarity problems and optimal control problems under complementarity constraints. We are particularly interested in the regularization methods for the numerical resolution of these types of problems, we have proposed new regularization techniques. Indeed, In the first part, we focused on optimal control problems under complementarity constraints. We studied optimal control problems governed by semilinear elliptical variational inequalities involving constraints on the state. We presented a new regularisation schema for the complementarity constraint. We proved that Lagrange multipliers exist. Then, in the second part, we have studied linear complementarity problems (LCPs) and nonlinear complementarity problems (NCPs) by proposing new methods of regularisation to solve these kind of problems. The idea of these methods takes inspiration from interior point methods. Throughout this manuscript, we have focused on the theoretical properties of algorithms and their digital applications. Côte titre : DM/0177 En ligne : http://dspace.univ-setif.dz:8888/jspui/bitstream/123456789/4031/1/Th%c3%a8se_OSM [...] Format de la ressource électronique : PDF Numerical methods for complementarity problems, and optimal control problems under complementarity constraints [texte imprimé] / El Hassene Osmani, Auteur ; Naceurdine Bensalem, Directeur de thèse . - 2022 . - 1 vol (159 f .) ; 29cm. Langues : Français (fre) Catégories : Thèses & Mémoires:Mathématique Mots-clés : Interior points methods Linear complementarity problem Index. décimale : 004 - Informatique Résumé : Complementarity problems occur in many scientific fields: economics, physics, transport, game theory, and mathematics. In this thesis, we offer several theoretical, algorithmic, and numerical contributions to solve the complementarity problems and optimal control problems under complementarity constraints. We are particularly interested in the regularization methods for the numerical resolution of these types of problems, we have proposed new regularization techniques. Indeed, In the first part, we focused on optimal control problems under complementarity constraints. We studied optimal control problems governed by semilinear elliptical variational inequalities involving constraints on the state. We presented a new regularisation schema for the complementarity constraint. We proved that Lagrange multipliers exist. Then, in the second part, we have studied linear complementarity problems (LCPs) and nonlinear complementarity problems (NCPs) by proposing new methods of regularisation to solve these kind of problems. The idea of these methods takes inspiration from interior point methods. Throughout this manuscript, we have focused on the theoretical properties of algorithms and their digital applications. Côte titre : DM/0177 En ligne : http://dspace.univ-setif.dz:8888/jspui/bitstream/123456789/4031/1/Th%c3%a8se_OSM [...] Format de la ressource électronique : PDF

Exemplaires (1)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
DM/0177	DM/0177	Thèse	Bibliothéque des sciences	Anglais	Disponible Disponible

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