Semisistemas dinámicos discretos débiles y su aplicación a la optimización de funcionales
- Florencio del Castillo Abánades Directeur/trice
Université de défendre: Universitat Autònoma de Barcelona
Année de défendre: 1978
- Carles Perelló Valls President
- Julià Cufí Sobregrau Secrétaire
- Alberto Dou Mas de Xaxàs Rapporteur
- Joan Cerdà Martín Rapporteur
- Florencio del Castillo Abánades Rapporteur
Type: Thèses
Résumé
THE THEORY OF DISCRET SEMI-DYNAMICAL SYSTEMS AS PRESENTED BY SZEGO-TRECCANI IS USED IN THE AXIOMATIC STUDY OF MINIMIZATION ALGORITHMS OF FUNCTIONS, IN THE SAME WAY THESE HAVE BEEN DEFINED DISCRETE SEMI-DYNAMICAL SYSTEMS ON A HILBERT SPACE TO STUDY STRONGLY CONVERGENT MINIMIZATION ALGORITHMS OF FUNCTIONALS. BUT IN MANY PRACTICAL PROBLEMS IT HAPPENS THAT THE ALGORITHMS PRODUCE SEQUENCES IN A HILBERT SPACE THAT DO NOT CONVERGENCE STRONGLY BUT ONLY WEAKLY. IN THIS WORK WE DEFINE DISCRETE SEMI-DYNAMICAL SYSTEMS THAT ALLOW US TO STUDY THESE ALGORITHMS.