\(L\)-curve curvature bounds via Lanczos bidiagonalization (Q1866491)
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scientific article; zbMATH DE number 1893809
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L\)-curve curvature bounds via Lanczos bidiagonalization |
scientific article; zbMATH DE number 1893809 |
Statements
\(L\)-curve curvature bounds via Lanczos bidiagonalization (English)
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5 May 2003
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Methods similar to those employed for the computation of the \(L\)-ribbon are used here to compute a ``curvature-ribbon'' by partial Lanczos bidiagonalization of a matrix. A suitable value of the regularization parameter for ill-conditioned systems of equations is then determined. An associated approximate solution of the linear system follows with little additional work.
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ill-posed problem
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Tikhonov regularization
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\(L\)-curve
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Gauss quadrature
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partial Lanczos bidiagonalization
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ill-conditioned systems
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0.91045326
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0.90693045
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0.89606225
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0.8903112
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0.8895168
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0.8887943
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0.88643944
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