Far Eastern Mathematical Journal

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


Nazarov V.G.

2018, issue 2, Ñ. 219-232


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.

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

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