Geodesic
Uncertainty estimation of the method based on generalized residual principle for the restore task of the spectral density of crystals
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 2, pp. 25-30

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The article studies the task of identification of phonon spectrum of a crystal according to its hit capacity. The authors reveal the evaluation of accuracy of Tikhonov regularization method with regularization parameter which was chosen form generalized residual principle.
Keywords: regularization; module of continuity; uncertainty estimation; ill-conditioned task; generalized residual principle. 
@article{VYURM_2015_7_2_a2,
     author = {A. A. Ershova and A. I. Sidikova},
     title = {Uncertainty estimation of the method based on generalized residual principle for the restore task of the spectral density of crystals},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {25--30},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2015_7_2_a2/}
}
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A. A. Ershova; A. I. Sidikova. Uncertainty estimation of the method based on generalized residual principle for the restore task of the spectral density of crystals. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 2, pp. 25-30. http://geodesic.mathdoc.fr/item/VYURM_2015_7_2_a2/