Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2015, Volume 7, Issue 2, Pages 25–30 (Mi vyurm251)  
Mathematics

Uncertainty estimation of the method based on generalized residual principle for the restore task of the spectral density of crystals

A. A. Ershovaa, A. I. Sidikovab

a Chelyabinsk State University
b South Ural State University
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Abstract: 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.
Received: 11.12.2014
Bibliographic databases:
Document Type: Article
UDC: 517.948
Language: Russian
Citation: 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”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 7:2 (2015), 25–30
Citation in format AMSBIB
\Bibitem{ErsSid15}
\by A.~A.~Ershova, A.~I.~Sidikova
\paper Uncertainty estimation of the method based on generalized residual principle for the restore task of the spectral density of crystals
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2015
\vol 7
\issue 2
\pages 25--30
\mathnet{http://mi.mathnet.ru/vyurm251}
\elib{https://elibrary.ru/item.asp?id=23142244}
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