Convergence rates for Tikhonov regularization in finite-dimensional subspaces of Hilbert scales
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- by Heinz W. Engl and Andreas Neubauer PDF
- Proc. Amer. Math. Soc. 102 (1988), 587-592 Request permission
Abstract:
The main result of this paper states how the discretization parameter and regularization parameter should be chosen in relation to the noise level in order to yield the optimal convergence rate for the Tikhonov-regularized solution of an ill-posed linear operator equation in a finite-dimensional subspace in the framework of Hilbert scales. The results apply to a wide class of spline and finite-element subspaces of Sobolev scales.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 102 (1988), 587-592
- MSC: Primary 65J10; Secondary 47A50
- DOI: https://doi.org/10.1090/S0002-9939-1988-0928985-X
- MathSciNet review: 928985