M. I. Berenguer Maldonado, D. Gámez Domingo, A. I. Garralda Guillem, M. Ruiz Galán
In the study of inverse problems, the determination of certain parameters associated with a given model has been approached from different perspectives. One of them, which has been fruitfull, is the one based on several versions of the so-called Collage theorem, which is a simple but powerful consequence of Banach's fixed point theorem. Specifically, this result transforms the parameter estimation problem into another one of minimization related to a certain family of collage distances. In this talk, first we illustrate this procedure by presenting a generalized version of the Collage theorem. Schauder bases are then introduced to approximate the optimization problem. We finish by showing the application of the results to parameter estimation in two different contexts: a pollution diffusion model and an interval integral equation.
Palabras clave: Inverse problem, Interval equations, Schauder bases
Programado
GT11 Optimización Continua IV
10 de junio de 2022 10:10
A12
