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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika" // Archive

Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 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

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.

UDC: 517.948

Received: 11.12.2014



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