On optimal convergence for regularized Tikhonov approximations (Q1090094)
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scientific article; zbMATH DE number 4007679
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On optimal convergence for regularized Tikhonov approximations |
scientific article; zbMATH DE number 4007679 |
Statements
On optimal convergence for regularized Tikhonov approximations (English)
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1988
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We consider the generalized solution to a Fredholm integral equation of the first kind, and establish conditions for which the Tikhonov and Raleigh-Ritz approximations converge to the true solution at the same rate as the perturbed data approaches to the exact data.
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optimal convergence
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generalized solution
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Fredholm integral equation of the first kind
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Raleigh-Ritz approximations
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perturbed data
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ill-posed problems
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Tikhonov regularization
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