Semisistemas dinámicos discretos débiles y su aplicación a la optimización de funcionales

  1. Llorens Fuster, Enrique
Dirigée par:
  1. Florencio del Castillo Abánades Directeur/trice

Université de défendre: Universitat Autònoma de Barcelona

Année de défendre: 1978

Jury:
  1. Carles Perelló Valls President
  2. Julià Cufí Sobregrau Secrétaire
  3. Alberto Dou Mas de Xaxàs Rapporteur
  4. Joan Cerdà Martín Rapporteur
  5. Florencio del Castillo Abánades Rapporteur

Type: Thèses

Teseo: 2039 DIALNET

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.