Ball convergence for a novel sixth order iterative method under hypothesis only on the first derivative
Abstract
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We present a  local convergence analysis of a sixth order iterative method using only the first derivative for solving equations in order to approximate a solution of a nonlinear equation. In earlier studies such as \cite{28} hypotheses on the fifth derivatives are used.  Thus by using only first derivative, we extended the applicability of these methods. Moreover the radius of convergence and computable error bounds on the distances involved are also given in this study. Numerical examples are also presented in this study.
Published
2016-05-28
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Articles