Semisistemas dinámicos discretos débiles y su aplicación a la optimización de funcionales
- Florencio del Castillo Abánades Director
Universidade de defensa: Universitat Autònoma de Barcelona
Ano de defensa: 1978
- Carles Perelló Valls Presidente/a
- Julià Cufí Sobregrau Secretario/a
- Alberto Dou Mas de Xaxàs Vogal
- Joan Cerdà Martín Vogal
- Florencio del Castillo Abánades Vogal
Tipo: Tese
Resumo
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.