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

  1. Llorens Fuster, Enrique
Supervised by:
  1. Florencio del Castillo Abánades Director

Defence university: Universitat Autònoma de Barcelona

Year of defence: 1978

Committee:
  1. Carles Perelló Valls Chair
  2. Julià Cufí Sobregrau Secretary
  3. Alberto Dou Mas de Xaxàs Committee member
  4. Joan Cerdà Martín Committee member
  5. Florencio del Castillo Abánades Committee member

Type: Thesis

Teseo: 2039 DIALNET

Abstract

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.