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On the existence of global saturation for spectral regularization methods with optimal qualification
-
Gisela L. Mazzieri
,
Ruben D. Spies
Published/Copyright:
December 14, 2012
Abstract.
A family of real functions 
defining a spectral
regularization method with optimal qualification is considered. Sufficient condition on the family and on the optimal
qualification guaranteeing the existence of saturation are
established. Appropriate characterizations of both the saturation
function and the saturation set are found and some examples are
provided.
Received: 2012-05-24
Published Online: 2012-12-14
Published in Print: 2012-12-01
© 2012 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- Extra-optimal methods for solving ill-posed problems
- Regularization for ill-posed parabolic evolution problems
- Satisfier function in Ritz–Galerkin method for the identification of a time-dependent diffusivity
- On some identification problem for source function to one semievolutionary system
- Regularization of backward parabolic equations in Banach spaces
- On the existence of global saturation for spectral regularization methods with optimal qualification
- Inverse determination of unsteady temperatures and heat fluxes on inaccessible boundaries
- Well-posedness of the Cauchy problem to a nonlinear magnetoelastic system in 1-D periodic media
- A family of rules for the choice of the regularization parameter in the Lavrentiev method in the case of rough estimate of the noise level of the data
- Inverse problems for second-order differential pencils with Dirichlet boundary conditions
