• Title/Summary/Keyword: quadraparametric family

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A QUADRAPARAMETRIC FAMILY OF EIGHTH-ORDER ROOT-FINDING METHODS

  • Kim, Young Ik
    • Journal of the Chungcheong Mathematical Society
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    • v.27 no.1
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    • pp.133-143
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    • 2014
  • A new three-step quadraparametric family of eighth-order iterative methods free from second derivatives are proposed in this paper to find a simple root of a nonlinear equation. Convergence analysis as well as numerical experiments confirms the eighth-order convergence and asymptotic error constants.