Local Convergence of an Efficient High Convergence Order Method Using Hypothesis Only on the First Derivative
نویسندگان
چکیده
منابع مشابه
Local Convergence of an Efficient High Convergence Order Method Using Hypothesis Only on the First Derivative
We present a local convergence analysis of an eighth order three step method in order to approximate a locally unique solution of nonlinear equation in a Banach space setting. In an earlier study by Sharma and Arora (2015), the order of convergence was shown using Taylor series expansions and hypotheses up to the fourth order derivative or even higher of the function involved which restrict the...
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In this paper, we propose a local convergence analysis of an eighth order three-step method to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Further, we also study the dynamic behaviour of that scheme. In an earlier study, Sharma and Arora (2015) did not discuss these properties. Furthermore, the order of convergence was shown using Taylor series expan...
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ژورنال
عنوان ژورنال: Algorithms
سال: 2015
ISSN: 1999-4893
DOI: 10.3390/a8041076