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Modified families of multi-point iterative methods for solving nonlinear equations

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Abstract

We further present some semi-discrete modifications to the cubically convergent iterative methods derived by Kanwar and Tomar (Modified families of Newton, Halley and Chebyshev methods, Appl. Math. Comput. http://dx.doi.org/10.1016/j.amc.2007.02.119) and derived a number of interesting new classes of third-order multi-point iterative methods free from second derivatives. Furthermore, several functions have been tested and all the methods considered are found to be effective and compared to the well-known existing third and fourth-order multi-point iterative methods.

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Authors and Affiliations

  1. University Institute of Engineering and Technology, Panjab University Chandigarh, Chandigarh, 160 014, India

    V. Kanwar

  2. Department of Mathematics, Panjab University Chandigarh, Chandigarh, India

    S. K. Tomar

Authors
  1. V. Kanwar
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  2. S. K. Tomar
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Correspondence to V. Kanwar.

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Kanwar, V., Tomar, S.K. Modified families of multi-point iterative methods for solving nonlinear equations. Numer Algor 44, 381–389 (2007). https://doi.org/10.1007/s11075-007-9120-4

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  • DOI: https://doi.org/10.1007/s11075-007-9120-4

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