Nuclear Physics and Atomic Energy

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Nuclear Physics and Atomic Energy

  ISSN: 1818-331X (Print), 2074-0565 (Online)
  Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine
  Languages: Ukrainian, English, Russian
  Periodicity: 4 times per year

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Nucl. Phys. At. Energy 2019, volume 20, issue 1, pages 96-102.
Section: Engineering and Methods of Experiment.
Received: 22.11.2018; Accepted: 17.04.2019; Published online: 26.06.2019.
PDF Full text (ru)
https://doi.org/10.15407/jnpae2019.01.096

Accounting for apparatus function when registering experimental data: peculiarity of choosing regularization parameter by L-curve criterion at deconvolution of the spectrum

A. M. Sokolov*

Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine

*Corresponding author. E-mail address: amsklv@i.ua

Abstract: Within the framework of the problem of spectrum deconvolution, variant of the choice of the regularization parameter by criterion of the L-curve, based on the displacement along the points of the L-curve graph, is proposed. An analysis of dependencies on which the L-curve based is done. The L-curve itself is interpreted as a graph of the complex function of the norm of a regularized solution from the residual, and its similarity to the graph of the residual is noted.

Keywords: apparatus function, spectrum, regularization method, L-curve criteria.

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