Geodesic
A parameter choice method for Tikhonov regularization
Electronic transactions on numerical analysis, Tome 16 (2003), pp. 107-128.

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

Summary: A new parameter choice method for Tikhonov regularization of discrete ill-posed problems is presented. Some of the regularized solutions of a discrete ill-posed problem are less sensitive than others to the perturbations in the right-hand side vector. This method chooses one of the insensitive regularized solutions using a certain criterion. Numerical experiments show that the new method is competitive with the popular L-curve method. An analysis of the new method is given for a model problem, which explains how this method works.
Classification : 65F22
Keywords: discrete ill-posed problems, discrete Picard condition, Tikhonov regularization 
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     author = {Wu, Limin},
     title = {A parameter choice method for {Tikhonov} regularization},
     journal = {Electronic transactions on numerical analysis},
     pages = {107--128},
     publisher = {mathdoc},
     volume = {16},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2003__16__a4/}
}
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Wu, Limin. A parameter choice method for Tikhonov regularization. Electronic transactions on numerical analysis, Tome 16 (2003), pp. 107-128. http://geodesic.mathdoc.fr/item/ETNA_2003__16__a4/