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https://er.nau.edu.ua/handle/NAU/50717| Title: | Using newton fractals for finding polynomial roots In the complex plane |
| Other Titles: | Використання фракталів Ньютона для знаходження коренів поліномів у комплексній площині |
| Authors: | Michurin I.E. |
| Keywords: | Newton's method Newton fractals complex roots differential equations approximation high-degree polynomials |
| Issue Date: | 2021 |
| Publisher: | National Aviation University |
| Citation: | Michurin I.E. Using newton fractals for finding polynomial roots In the complex plane // Polit. Callanges of science today. International relations : abstracts of XXI International conference of higher education students and young scientists. – National Aviation University. – Kyiv, 2021. – P. 171 |
| Abstract: | The problem of finding complex roots arises not only in algebra or number theory, but also in other fields. Various differential equations that describe physical processes: the behavior of nonlinear dynamical systems, turbulent fluid flows, diffusion, etc. - lead to the need to find the roots of polynomials. One of the popular methods of finding roots is Newton's method. |
| Description: | 1. Bakhvalov, N. S., Zhidkov, N. P., & Kobelkov, G. M. (Eds.) (2008). Numerical methods. (6th ed.). Moscow: BINOM. Knowledge Laboratory. 2. Bozhokin, S. V., & Parshin, D. A. (2001). Fractals and multifractals. Izhevsk: Research Center "Regular and chaotic dynamics". 3. Zadachyn, V. M., & Konyushenko, I. G. (2014). Numerical methods. Kharkiv: Ed. KhNEU them. S. Kuznets. |
| URI: | https://er.nau.edu.ua/handle/NAU/50717 |
| Appears in Collections: | Політ. Прикладна математика. 2021 |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Michurin_I_E.pdf | 512.84 kB | Adobe PDF | View/Open |
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