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Regularization parameter selection in discrete ill-posed problems - the use of the U-curve

Dorota Krawczyk-StańdoMarek Rudnicki — 2007

International Journal of Applied Mathematics and Computer Science

To obtain smooth solutions to ill-posed problems, the standard Tikhonov regularization method is most often used. For the practical choice of the regularization parameter α we can then employ the well-known L-curve criterion, based on the L-curve which is a plot of the norm of the regularized solution versus the norm of the corresponding residual for all valid regularization parameters. This paper proposes a new criterion for choosing the regularization parameter α, based on the so-called U-curve....

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