Modification of the Algorithm for Selecting a Variable Parameter of the Gaussian Interpolation Function

The paper presents an algorithm for selecting the optimal value of the variable parameter α of the Gaussian interpolation function to obtain the smallest possible error when interpolating the tabular data. The results of the algorithm are checked on a sample of elementary mathematical functions. For...

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Datum:2020
Hauptverfasser: Sidorenko, Iu.V., Gorodetsky, M.V.
Format: Artikel
Sprache:English
Veröffentlicht: Міжнародний науково-навчальний центр інформаційних технологій і систем НАН та МОН України 2020
Schriftenreihe:Control systems & computers
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Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/181232
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Modification of the Algorithm for Selecting a Variable Parameter of the Gaussian Interpolation Function / Iu.V. Sidorenko, M.V. Gorodetsky // Control systems & computers. — 2020. — № 6. — С. 21-28. — Бібліогр.: 10 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Zusammenfassung:The paper presents an algorithm for selecting the optimal value of the variable parameter α of the Gaussian interpolation function to obtain the smallest possible error when interpolating the tabular data. The results of the algorithm are checked on a sample of elementary mathematical functions. For comparison, the interpolation data of the Lagrange polynomial are given. The paper presents the results of Gaussian interpolation at different α, conclusions are made about the need to applying the algorithm for selecting of its optimal value.