A Modified Quadratic Interpolation Method for Root Finding Full article
| Journal |
Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797 |
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| Output data | Year: 2023, Volume: 17, Number: 3, Pages: 491-497 Pages count : 7 DOI: 10.1134/s1990478923030031 | ||
| Tags | quadratic interpolation, modeling, efficiency function of hydraulic turbine, spline, multidimensional approximation | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0015 |
Abstract:
A modification of the quadratic interpolation method for finding the root of a continuous function is proposed. Two quadratic interpolation polynomials are simultaneously constructed. It is shown that if the third derivative of the original function does not change sign on the considered interval of localization of the required root, then the root lies between the roots of the quadratic functions. This allows one to substantially narrow the localization interval and reduce the number of steps to calculate the root with a given accuracy. The proposed modification of the quadratic interpolation method is used in the problem of calculating isolines when modeling the hill diagram of hydraulic turbines.
Cite:
Bogdanov V.V.
, Volkov Y.S.
A Modified Quadratic Interpolation Method for Root Finding
Journal of Applied and Industrial Mathematics. 2023. V.17. N3. P.491-497. DOI: 10.1134/s1990478923030031 Scopus РИНЦ OpenAlex
A Modified Quadratic Interpolation Method for Root Finding
Journal of Applied and Industrial Mathematics. 2023. V.17. N3. P.491-497. DOI: 10.1134/s1990478923030031 Scopus РИНЦ OpenAlex
Original:
Богданов В.В.
, Волков Ю.С.
Модифицированный метод парабол поиска корня
Сибирский журнал индустриальной математики. 2023. Т.26. №3. С.5–13. DOI: 10.33048/SIBJIM.2023.26.301 РИНЦ
Модифицированный метод парабол поиска корня
Сибирский журнал индустриальной математики. 2023. Т.26. №3. С.5–13. DOI: 10.33048/SIBJIM.2023.26.301 РИНЦ
Dates:
| Submitted: | Apr 27, 2023 |
| Accepted: | Jun 7, 2023 |
| Published print: | Sep 20, 2023 |
| Published online: | Nov 4, 2023 |
Identifiers:
| Scopus: | 2-s2.0-85175642662 |
| Elibrary: | 64041750 |
| OpenAlex: | W4388337177 |