Uncertainty Estimation of the Method Based on Generalized Residual Principle for the Restore Task of the Spectral Density of Crystals

Authors

  • Anna Aleksandrovna Ershova Chelyabinsk State University
  • Anna Ivanovna Sidikova South Ural State University

Keywords:

regularization, module of continuity, uncertainty estimation, ill-conditioned task, generalized residual principle

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.

Author Biographies

Anna Aleksandrovna Ershova, Chelyabinsk State University

Post-graduate Student, Department of Theory of Management and Optimization

Anna Ivanovna Sidikova, South Ural State University

Cand. Sc. (Physics and Mathematics), Associate Professor, Calculating Mathematics Department

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Published

2015-03-23

Issue

Vol. 7 No. 2 (2015)

Section

Mathematics