On the quasi-optimal rules for the choice of the regularization parameter in case of a noisy operator
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s10444-011-9203-6.pdf
Reference20 articles.
1. Bauer, F., Hohage, T.: A Lepskij-type stopping rule for regularized Newton methods. Inverse Probl. 21(6), 1975–1991 (2005)
2. Bauer, F., Kindermann, S.: The quasi-optimality criterion for classical inverse problems. Inverse Probl. 24(4), 035002 (2008)
3. Gfrerer, H.: An a posteriori parameter choice for ordinary and iterated Tikhonov regularization of ill-posed problems leading to optimal convergence rates. Math. Comput. 49(180), 507–522 (1987)
4. Goncharski, A.V., Leonov, A.S., Yagola, A.G.: A generalized discrepancy principle. USSR Comput. Math. Math. Phys. 13(2), 25–37 (1973)
5. Hämarik, U., Palm, R., Raus, T.: Use of extrapolation in regularization methods. J. Inverse Ill-Posed Probl. 15(3), 277–294 (2007)
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