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

  1. Llorens Fuster, Enrique
unter der Leitung von:
  1. Florencio del Castillo Abánades Doktorvater/Doktormutter

Universität der Verteidigung: Universitat Autònoma de Barcelona

Jahr der Verteidigung: 1978

Gericht:
  1. Carles Perelló Valls Präsident/in
  2. Julià Cufí Sobregrau Sekretär/in
  3. Alberto Dou Mas de Xaxàs Vocal
  4. Joan Cerdà Martín Vocal
  5. Florencio del Castillo Abánades Vocal

Art: Dissertation

Teseo: 2039 DIALNET

Zusammenfassung

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.