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http://dx.doi.org/10.14403/jcms.2014.27.1.133

A QUADRAPARAMETRIC FAMILY OF EIGHTH-ORDER ROOT-FINDING METHODS  

Kim, Young Ik (Department of Mathematics Dankook University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.27, no.1, 2014 , pp. 133-143 More about this Journal
Abstract
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.
Keywords
eighth-order convergence; efficiency index; quadraparametric family; asymptotic error constant;
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