- Tytuł:
- Regularization parameter selection in discrete ill-posed problems—The use of the U-curve
- Autorzy:
-
Krawczyk-Stańdo, D.
Rudnicki, M. - Powiązania:
- https://bibliotekanauki.pl/articles/929617.pdf
- Data publikacji:
- 2007
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
problem niewłaściwie postawiony
regularyzacja Tichonowa
parametr regularyzacji
ill-posed problems
Tikhonov regularization
regularization parameter
L-curve
U-curve - Opis:
- 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 \alfa 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 \alfa, based on the so-called U-curve. A comparison of the two methods made on numerical examples is additionally included.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2007, 17, 2; 157-164
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł