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

• Autores: Enrique Llorens Fuster
• Directores de la Tesis: Florencio del Castillo Abánades (dir. tes.)
• Lectura: En la Universitat Autònoma de Barcelona ( España ) en 1978
• Idioma: español
• Tribunal Calificador de la Tesis: Carles Perelló i Valls (presid.) , Julià Cufí Sobregrau (secret.) , Alberto Dou Mas de Xaxàs (voc.) , Joan Cerdà Martín (voc.) , Florencio del Castillo Abánades (voc.)
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• Resumen

  • 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.