Necessary and sufficient conditions for power convergence rate of approximations in Tikhonov's scheme for solving ill-posed optimization problems (Q682313)
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scientific article; zbMATH DE number 6838156
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Necessary and sufficient conditions for power convergence rate of approximations in Tikhonov's scheme for solving ill-posed optimization problems |
scientific article; zbMATH DE number 6838156 |
Statements
Necessary and sufficient conditions for power convergence rate of approximations in Tikhonov's scheme for solving ill-posed optimization problems (English)
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14 February 2018
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The author investigates a rate of convergence of estimates for approximations generated by Tikhonov's scheme for solving ill-posed optimization problems with smooth functionals under a structural nonlinearity condition in a Hilbert space, in the cases of exact and noisy input data. In the presence of a noise, the author gives a parameter choice rule that leads for Tikhonov's scheme to a power accuracy estimate with respect to the noise level.
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ill-posed optimization
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Tikhonov's scheme
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Hilbert space
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rate of convergence
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sourcewise representability condition
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parameter choice rule
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