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A sixth order transformation method for finding multiple roots of nonlinear equations and basin attractors for various methods

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  • Sharma, Rajni
  • Bahl, Ashu

Abstract

In this contribution, a sixth-order transformation method is proposed and analyzed for finding multiple roots of nonlinear equations, when the multiplicity of the root is not known explicitly. The proposed method does not require the evaluation of second derivative. The basins of attraction of existing transformation methods and the proposed method are presented to demonstrate their performance.

Suggested Citation

  • Sharma, Rajni & Bahl, Ashu, 2015. "A sixth order transformation method for finding multiple roots of nonlinear equations and basin attractors for various methods," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 105-117.
    • Handle: RePEc:eee:apmaco:v:269:y:2015:i:c:p:105-117
    DOI: 10.1016/j.amc.2015.07.056
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    Cited by:

    1. Syahmi Afandi Sariman & Ishak Hashim & Faieza Samat & Mohammed Alshbool, 2021. "Modification of Newton-Househölder Method for Determining Multiple Roots of Unknown Multiplicity of Nonlinear Equations," Mathematics, MDPI, vol. 9(9), pages 1-12, April.

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