Simplified Tikhonov regularization (Q1090076)
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scientific article; zbMATH DE number 4007596
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Simplified Tikhonov regularization |
scientific article; zbMATH DE number 4007596 |
Statements
Simplified Tikhonov regularization (English)
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1988
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Approximations to the minimal norm, least-square solution of a linear equation with positive semidefinite operator are defined in such a way that fewer computations are needed than in Tikhonov's approach. We establish necessary and sufficient conditions for convergence, and we provide a choice for the regularization parameter \(\alpha\) that brings the optimal rate of convergence.
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Tikhonov regularization
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minimal norm, least-square solution
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positive semidefinite operator
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optimal rate of convergence
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ill-posed problems
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