Abstract
The article considers the construction of a stable approximation of the basic component in an experimental spectrum. Conditions of independence and nondegeneracy are introduced for the local resonance nonhomogeneities and the basic component, which is treated as a continuous smooth function whose local variation is substantially less than the variation of the local nonhomogeneities. The problem of approximating the basic component is shown to have a unique solution under these conditions. A stable algorithm is developed for the construction of the basic component. The algorithm is applied to construct the basic component from typical spectrometric data, and the results are compared with other known basic-component fitting methods.
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Translated from Chislennye Metody v Matematicheskoi Fizike, Published by Moscow University, Moscow, 1996, pp. 137–146.
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Zaikin, P.N., Shchetinin, E.Y. A method for approximate construction of the basic component in the class of functions of bounded variation. Comput Math Model 8, 172–180 (1997). https://doi.org/10.1007/BF02405169
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DOI: https://doi.org/10.1007/BF02405169