Abstract
In this paper, we present a novel conformable vector Traub’s method for solving nonlinear systems, the classical Traub’s method is special case of the conformable vector Traub’s method. It has been demonstrated that the order of convergence is 3. The experimental results show that, compared with the conformable vector Newton’s method the conformable vector Traub’s method requires fewer numbers of iterations. The calculation accuracy of the conformal vector Traub’s method is higher than that of the classical Traub’s method under the same number of iteration. The convergence planes of the conformable vector Traub’s method exhibit a high level of stability and a higher convergence percentage.
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Acknowledgements
The authors wish to thank all reviewers and editors for their comments.
Funding
This research was supported by the National Natural Science Foundation of China (No. 61976027), the Natural Science Foundation of Liaoning Province (Nos. 2022-MS-371, 2023-MS-296), Educational Commission Foundation of Liaoning Province of China (Nos. LJKMZ20221492, LJKMZ20221498) and the Key Project of Bohai University (No. 0522xn078).
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Methodology, X. Wang; writing—original draft preparation, J. Xu; writing—review and editing, J. Xu. All authors have read and agreed to the published version of the manuscript.
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Wang, X., Xu, J. Conformable vector Traub’s method for solving nonlinear systems. Numer Algor 97, 1563–1582 (2024). https://doi.org/10.1007/s11075-024-01762-7
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DOI: https://doi.org/10.1007/s11075-024-01762-7