Approximation accuracy of the Krylov subspaces for linear discrete ill-posed problems (Q2306411)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation accuracy of the Krylov subspaces for linear discrete ill-posed problems |
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Approximation accuracy of the Krylov subspaces for linear discrete ill-posed problems (English)
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23 March 2020
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The author makes a deep analysis on the regularizing effects of LSQR, thus establishing a general \(\sin(\Theta)\) theorem for the \(2\)-norm distances between these two subspaces and deriving accurate estimates on them for severely, moderately and mildly ill-posed problems.
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discrete ill-posed problem
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full regularization
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partial regularization
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semi-convergence
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Lanczos bidiagonalization
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Krylov subspace
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Ritz values
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