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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

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

This article is cited in 1 paper

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.

UDC: 519.65

MSC: 97M50

Received: 05.04.2018



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