Optimal eight-order three-step iterative methods for solving systems of nonlinear equations


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In this paper, we for the first time propose the extension of optimal eighth-order methods to multidimensional case. It is shown that these extensions maintained the optimality properties of the original methods. The computational efficiency of the proposed methods is compared with that of known methods. Numerical experiments are included to confirm the theoretical results and to demonstrate the efficiency of the methods.

作者简介

Tugal Zhanlav

Institute of Mathematics and Digital Technology, Mongolian Academy of Sciences; Mongolian University of Science and Technology

Email: tzhanlav@yahoo.com
ORCID iD: 0000-0003-0743-5587
Scopus 作者 ID: 24484328800

Full member of Mongolian Academy of Sciences, professor, doctor of sciences in physics and mathematics, Honorary Doctor of JINR

俄罗斯联邦, Ulaanbator, 13330, Mongolia; Ulaanbator, 14191, Mongolia

Khuder Otgondorj

Mongolian University of Science and Technology

编辑信件的主要联系方式.
Email: otgondorj@gmail.com
ORCID iD: 0000-0003-1635-7971
Scopus 作者 ID: 57209734799

Associate Professor of Department of Mathematics at School of Applied Sciences

俄罗斯联邦, Ulaanbator, 14191, Mongolia

参考

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  10. Zhanlav, T. & Otgondorj, K. On the development and extensions of some classes of optimal threepoint iterations for solving nonlinear equations. Journal of Numerical Analysis and Approximation Theory 50, 180-193. doi: 10.33993/jnaat502-1238180--193 (2021).
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  12. Zhanlav, T. & Otgondorj, K. Development and adaptation of higher-order iterative methods in 𝑅𝑛 with specific rules. Discrete and Continuous Models and Applied Computational Science 32, 425- 444. doi: 10.22363/2658-4670-2024-32-4-425-444 (2024).
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  16. Zhanlav, T. & Otgondorj, K. Higher order Jarratt-like iterations for solving systems of nonlinear equations. Applied Mathematics and Computation 395, 125849. doi:doi: 10.1016/j.amc.2020.125849 (2021).

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