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Mixed spatially varying -BV regularization of inverse ill-posed problems
Gisela L. Mazzieri, Ruben D. Spies, Karina G. Temperini
Several generalizations of the traditional Tikhonov-Phillips regularization method have been proposed during the last two decades. Many of these generalizations are based upon indu…
On the existence of global saturation for spectral regularization methods with optimal qualification
Gisela L. Mazzieri, Ruben D. Spies, Karina G. Temperini
A family of real functions {g_α} defining a spectral regularization method with optimal qualification is considered. Sufficient condition on the family and on the optimal qualifica…
Existence, uniqueness and stability of solutions of generalized Tikhonov-Phillips functionals
Gisela L. Mazzieri, Ruben D. Spies, Karina G. Temperini
The Tikhonov-Phillips method is widely used for regularizing ill-posed inverse problems mainly due to the simplicity of its formulation as an optimization problem. The use of diffe…
Global Saturation of Regularization Methods for Inverse Ill-Posed Problems
Terry Herdman, Ruben D. Spies, Karina G. Temperini
In this article the concept of saturation of an arbitrary regularization method is formalized based upon the original idea of saturation for spectral regularization methods introdu…