IMAL 13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Directional convergence of spectral regularization method associated to families of closed operators
Autor/es:
MAZZIERI, GISELA L; SPIES, RUBÉN D; TEMPERINI, KARINA G
Revista:
MATEMATICA APLICADA E COMPUTACIONAL
Editorial:
SOC BRASILEIRA MATEMATICA APLICADA & COMPUTACIONAL
Referencias:
Lugar: San Pablo; Año: 2012
ISSN:
0101-8205
Resumen:
We consider regularized solutions of linear inverse ill-posed problems obtained withgeneralized Tikhonov-Phillips functionals with penalizers given by linear combinationsof seminorms induced by closed operators. Convergence of the regularized solutions isproved when the vector regularization rule approaches the origin through appropriateradial and diferentiable paths. Characterizations of the limiting solutions are given.Finally, a examples of image restoration using generalized Tikhonov-Phillips methodswith convex combinations of seminorms are shown.
