http://dspace.bsu.edu.ru/handle/123456789/41648
Title: | On the correctness of finite-rank approximations by series of shifted Gaussians |
Authors: | Sitnik, S. M. Timashov, A. S. Ushakov, S. N. |
Keywords: | mathematics mathematical analysis shifted Gaussians finite-rank approximations linear systems quadratic exponents |
Issue Date: | 2020 |
Citation: | Sitnik, S.M. On the correctness of finite-rank approximations by series of shifted Gaussians / S.M. Sitnik, A.S. Timashov, S.N. Ushakov // Lobachevskii Journal of Mathematics. - 2020. - Vol.41, №3.-P. 423-429. - Doi: 10.1134/S1995080220030166. - Refer.: p. 429 |
Abstract: | In this paper we consider interpolation problem connected with series by integer shifts of Gaussians. Known approaches for these problems met numerical difficulties. Due to it another method is considered based on finite-rank approximations by linear systems. The main result for this approach is to establish correctness of the finite-rank linear system under consideration |
URI: | http://dspace.bsu.edu.ru/handle/123456789/41648 |
Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
File | Description | Size | Format | |
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Sitnik_On the Correctness.pdf | 453.69 kB | Adobe PDF | View/Open |
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