INVESTIGADORES
SPIES Ruben Daniel
congresos y reuniones científicas
Título:
On the Choice of Penalizers in Generalized Tikhonov-Phillips Regularization Methods
Autor/es:
G. MAZZIERI; RUBEN D. SPIES; K. TEMPERINI
Lugar:
Bahia Blanca
Reunión:
Congreso; Tercer Congreso de Matemática Aplicada, Computacional e Industrial, III MACI; 2011
Institución organizadora:
AR-SIAM, ASAMACI, UNS
Resumen:
The Tikhonov-Phillips method is widely used for regularizing ill-posed problems due to the simplicity of its formulation as an optimization problem. The use of different penalizers in the functionals associated to the corresponding optimization problems has originated a variety of methods which can be considered as variants of the traditional Tikhonov-Phillips method of order zero. Such is the case for instance of the Tikhonov-Phillips method of order one, the total variation regularization method, etc. In this article we study the problem of determining general sufficient conditions on the penalizers in generalized Tikhonov-Phillips functionals which guarantee existence, uniqueness and stability of minimizers. Examples with different penalizers are presented.
