Subspace-restricted singular value decompositions for linear discrete ill-posed problems (Q607252)
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scientific article; zbMATH DE number 5817753
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subspace-restricted singular value decompositions for linear discrete ill-posed problems |
scientific article; zbMATH DE number 5817753 |
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Subspace-restricted singular value decompositions for linear discrete ill-posed problems (English)
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19 November 2010
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The authors solve noisy underdetermined ill-posed linear systems, \(Ax=b+e\), of small dimensions by means of truncated singular value decomposition (SVD), truncated generalized SVD and truncated subspace-restricted SVD that allow the solution subspace or the range of \(A\) to contain specified subspaces. Theoretical comparisons and computed examples are presented.
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comparison of methods
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numerical examples
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Tikhonov regularization
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noisy underdetermined ill-posed linear systems
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truncated singular value decomposition
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