Error bounds and parameter choice strategies for simplified regularization in Hilbert scales (Q1378063)
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scientific article; zbMATH DE number 1113521
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Error bounds and parameter choice strategies for simplified regularization in Hilbert scales |
scientific article; zbMATH DE number 1113521 |
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Error bounds and parameter choice strategies for simplified regularization in Hilbert scales (English)
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2 June 1998
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Simplified regularization in the setting of Hilbert scales has been considered for obtaining stable approximate solutions for ill-posed linear operator equations. In order to choose the regularization parameter the authors propose parameter choice strategies which are a priori and a posteriori. It is shown that these strategies lead to optimal error estimates in the sence of ``best possible worst error''.
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ill-posed operator equations
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linear operator
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Hilbert scales
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Tikhonov regularization
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error bounds
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parameter choice strategies
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