Geodesic
Multi-parameter Arnoldi-Tikhonov methods
Electronic transactions on numerical analysis, Tome 40 (2013), pp. 452-475
For the solution of linear ill-posed problems, in this paper we introduce a simple algorithm for the choice of the regularization parameters when performing multi-parameter Tikhonov regularization through an iterative scheme. More specifically, the new technique is based on the use of the Arnoldi-Tikhonov method and the discrepancy principle. Numerical experiments arising from the discretization of integral equations are presented.
Classification : 65F10, 65F22
Keywords: multi-parameter regularization, arnoldi-Tikhonov method, discrepancy principle 
@article{ETNA_2013__40__a1,
     author = {Gazzola,  Silvia and Novati,  Paolo},
     title = {Multi-parameter {Arnoldi-Tikhonov} methods},
     journal = {Electronic transactions on numerical analysis},
     pages = {452--475},
     year = {2013},
     volume = {40},
     zbl = {1288.65084},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2013__40__a1/}
}
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AU  - Novati,  Paolo
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EP  - 475
VL  - 40
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%A Gazzola,  Silvia
%A Novati,  Paolo
%T Multi-parameter Arnoldi-Tikhonov methods
%J Electronic transactions on numerical analysis
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%P 452-475
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%U http://geodesic.mathdoc.fr/item/ETNA_2013__40__a1/
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%F ETNA_2013__40__a1
Gazzola,  Silvia; Novati,  Paolo. Multi-parameter Arnoldi-Tikhonov methods. Electronic transactions on numerical analysis, Tome 40 (2013), pp. 452-475. http://geodesic.mathdoc.fr/item/ETNA_2013__40__a1/