Some results on the regularization of LSQR for large-scale discrete ill-posed problems (Q1708059)
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| Language | Label | Description | Also known as |
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| English | Some results on the regularization of LSQR for large-scale discrete ill-posed problems |
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Some results on the regularization of LSQR for large-scale discrete ill-posed problems (English)
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4 April 2018
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The authors derive bounds for the \(2\)-norm distance between the \(k\)-dimensional Krylov subspace of the LSQR algorithm and the \(k\)-dimensional right singular space. Therefore they show that the algorithm has better regularizing effects for severely and moderately ill-posed problems than for mildly ill-posed ones. Numerical experiments illustrating these regularizing properties of LSQR algorithm are also presented.
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ill-posed problem
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regularization
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Lanczos bidiagonalization
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LSQR
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CGLS
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hybrid LSQR
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