Geodesic
Multi-parameter Arnoldi-Tikhonov methods
Electronic transactions on numerical analysis, Tome 40 (2013), pp. 452-475.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Gazzola, Silvia and Novati, Paolo},
     title = {Multi-parameter {Arnoldi-Tikhonov} methods},
     journal = {Electronic transactions on numerical analysis},
     pages = {452--475},
     publisher = {mathdoc},
     volume = {40},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2013__40__a1/}
}
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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/