We establish the connection between two-step iterative methods with scalar and vector parameter coefficients. Based on this result, we propose five different three-step iterations with scalar parameters of order p = 6, p = 7, and p = 8. Numerical experiments confirm the theoretical results and show the high-efficiency of the proposed iterations. The proposed methods are compared with known methods with the same convergence order.
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Zhanlav, T., Otgondorj, K. High Efficient Iterative Methods with Scalar Parameter Coefficients for Systems of Nonlinear Equations. J Math Sci 279, 866–875 (2024). https://doi.org/10.1007/s10958-024-07066-4
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DOI: https://doi.org/10.1007/s10958-024-07066-4