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Dal'nevost. Mat. Zh., 2018, Volume 18, Number 2, Pages 219–232 (Mi dvmg384)  

On increase of calculation accuracy at the problem of determining the chemical composition of a medium

V. G. Nazarov

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok

Abstract: In work the problem of a finding of a chemical composition of a homogeneous medium by a method of collimated multiple X-ray irradiation is considered. The question on possibility of increase of accuracy of the solution is thus studied by carrying out of several series of repeated measurements of passing radiation. It is shown that under some natural assumptions on measurement errors of passing radiation, the solution errors tend to zero with growth of number of the measurements fulfilled. Results of the calculations executed for concrete substance are shown by way of illustration.

Key words: radiography of a continuous medium, finding the chemical composition of a medium, singular value decomposition, calculation accuracy.

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Document Type: Article
UDC: 519.65
MSC: 97M50
Received: 05.04.2018

Citation: V. G. Nazarov, “On increase of calculation accuracy at the problem of determining the chemical composition of a medium”, Dal'nevost. Mat. Zh., 18:2 (2018), 219–232

Citation in format AMSBIB
\Bibitem{Naz18}
\by V.~G.~Nazarov
\paper On increase of calculation accuracy at the problem of determining the chemical
composition of a medium
\jour Dal'nevost. Mat. Zh.
\yr 2018
\vol 18
\issue 2
\pages 219--232
\mathnet{http://mi.mathnet.ru/dvmg384}


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