Regularization Parameter Selection in Discrete Ill-Posed Problems — The Use of the U-Curve
Open Access
- 1 June 2007
- journal article
- Published by University of Zielona Góra, Poland in International Journal of Applied Mathematics and Computer Science
- Vol. 17 (2), 157-164
- https://doi.org/10.2478/v10006-007-0014-3
Abstract
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.Keywords
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