A variant of finite-dimensional Tikhonov regularization with a-posteriori parameter choice (Q1094123)
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scientific article; zbMATH DE number 4024729
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A variant of finite-dimensional Tikhonov regularization with a-posteriori parameter choice |
scientific article; zbMATH DE number 4024729 |
Statements
A variant of finite-dimensional Tikhonov regularization with a-posteriori parameter choice (English)
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1988
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We consider a particular variant of finite-dimensional Tikhonov regularization for ill-posed operator equations. Convergence rates are established and an a-posteriori parameter choice method is derived that leads to optimal convergence rates with respect to data errors and with respect to the finite-dimensional subspace, without using any information about the exact solution. Finally, using linear splines we present several numerical examples that confirm the theoretical results.
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Tikhonov regularization
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ill-posd operator equations
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a-posteriori parameter choice methods
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optimal convergence rates
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linear splines
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numerical examples
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parameter selection method
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