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An excellent numerical technique for multiple roots

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  • Sharma, Janak Raj
  • Kumar, Sunil

Abstract

In recent times, some optimal eighth order iterative methods for computing multiple zeros of nonlinear functions have been appeared in literature. Different from these existing optimal methods, here we propose a new eighth order iterative method for multiple zeros. With four evaluations per iteration, the method satisfies the criterion of attaining optimal convergence of eighth order. Accuracy and computational efficiency are demonstrated by implementing the algorithm on different numerical problems. Moreover, the obtained results show its good convergence compared to existing optimal eighth order techniques. Besides, it also challenges the accuracy of existing methods which is the main advantage.

Suggested Citation

  • Sharma, Janak Raj & Kumar, Sunil, 2021. "An excellent numerical technique for multiple roots," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 316-324.
    • Handle: RePEc:eee:matcom:v:182:y:2021:i:c:p:316-324
    DOI: 10.1016/j.matcom.2020.11.008
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    References listed on IDEAS

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    1. Geum, Young Hee & Kim, Young Ik & Neta, Beny, 2015. "A class of two-point sixth-order multiple-zero finders of modified double-Newton type and their dynamics," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 387-400.
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