Projective sourcewise representability of normal solutions to linear equations on convex sets. (Q1395206)
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scientific article; zbMATH DE number 1940601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Projective sourcewise representability of normal solutions to linear equations on convex sets. |
scientific article; zbMATH DE number 1940601 |
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Projective sourcewise representability of normal solutions to linear equations on convex sets. (English)
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29 June 2003
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The authors discuss a projective sourcewise representability which is a natural extension of ordinary sourcewise representability to the case when admissible solutions to a linear equation are only elements of a prescribed subset. For problems with a perturbed operator, the convergence rate of the Tikhonov regularization method is estimated in classes of projectively sourcewise representable solutions.
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linear operator equation
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sourcewise representable solution
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regularization method
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convergence
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ill-posed problem
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Tikhonov regularization
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