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

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Krawczyk-Stańdo D., Rudnicki M.

International Journal of Applied Mathematics and Computer Science

2007

tom 17

nr 2

157-164

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. A comparison of the two methods made on numerical examples is additionally included.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Krawczyk-Stańdo D.

1 Rudnicki M.

1 2007

Wyniki wyszukiwania

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