The least error method for sparse solution reconstruction (Q2832966)
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scientific article; zbMATH DE number 6653169
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The least error method for sparse solution reconstruction |
scientific article; zbMATH DE number 6653169 |
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The least error method for sparse solution reconstruction (English)
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15 November 2016
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least error method
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sparsity
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error estimates
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source condition
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regularization method
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linear ill-posed problems
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convergence
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The authors describe a regularization method for obtaining sparse solutions to linear ill-posed problems, by appropriate discretization in the image space. The method is also known as the least error method in the literature. A convergence analysis is provided for one a priori and two a posteriori rules for choosing the proper discretization level. The paper also contains a discussion about the structure of the approximate solutions and the source elements.
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