Regularization by discretization in Banach spaces (Q2807462)
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scientific article; zbMATH DE number 6584719
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularization by discretization in Banach spaces |
scientific article; zbMATH DE number 6584719 |
Statements
Regularization by discretization in Banach spaces (English)
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25 May 2016
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regularization by projection
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convergence
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parameter choice
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Volterra integral equations
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ill-posed linear operator equation
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Banach space
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least squares method
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least error method
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discrepancy principle
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collocation method
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The authors study projection methods for ill-posed linear operator equations with operators acting between Banach spaces. Specifically, general projection methods, the least squares method and the least error method are analyzed, with the dimension of the subspace chosen by the discrepancy principle and monotone error rule. The results are numerically illustrated by the collocation method for a Volterra integral equation. The interesting study extends many related works in a Hilbert space setting.
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