\(L\)-curve curvature bounds via Lanczos bidiagonalization
Electronic transactions on numerical analysis, Tome 14 (2002), pp. 20-35
The L-curve is often applied to determine a suitable value of the regularization parameter when solving ill-conditioned linear systems of equations with a right-hand side contaminated by errors of unknown norm.
Keywords: ill-posed problem, regularization, L-curve, Gauss quadrature
@article{ETNA_2002__14__a11,
     author = {Calvetti,  D. and Hansen,  P.C. and Reichel,  L.},
     title = {\(L\)-curve curvature bounds via {Lanczos} bidiagonalization},
     journal = {Electronic transactions on numerical analysis},
     pages = {20--35},
     year = {2002},
     volume = {14},
     zbl = {1029.65041},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2002__14__a11/}
}
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AU  - Reichel,  L.
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%A Reichel,  L.
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%J Electronic transactions on numerical analysis
%D 2002
%P 20-35
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%U http://geodesic.mathdoc.fr/item/ETNA_2002__14__a11/
%G en
%F ETNA_2002__14__a11
Calvetti,  D.; Hansen,  P.C.; Reichel,  L. \(L\)-curve curvature bounds via Lanczos bidiagonalization. Electronic transactions on numerical analysis, Tome 14 (2002), pp. 20-35. http://geodesic.mathdoc.fr/item/ETNA_2002__14__a11/