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High Efficient Iterative Methods with Scalar Parameter Coefficients for Systems of Nonlinear Equations

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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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Authors and Affiliations

  1. Mongolian Academy of Sciences, 54 B Peace Avenue, Bayanzurkh District, Ulaanbaatar, 13330, Mongolia

    Tugal Zhanlav

  2. Mongolian University of Science and Technology, 34 Baga toiruu, Sukhbaatar District, , Ulaanbaatar, 14191, Mongolia

    Tugal Zhanlav & Khuder Otgondorj

  3. Inner Mongolia Center for Applied Mathematics, 81 Zhaowuda Road, Saihan District, Hohhot, 010022, Inner Mongolia, China

    Tugal Zhanlav

Authors
  1. Tugal Zhanlav
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  2. Khuder Otgondorj
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Correspondence to Khuder Otgondorj.

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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

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