Optimized Steffensen-Type Methods with Eighth-Order Convergence and High Efficiency Index
نویسندگان
چکیده
منابع مشابه
Optimized Steffensen-Type Methods with Eighth-Order Convergence and High Efficiency Index
Steffensen-type methods are practical in solving nonlinear equations. Since, such schemes do not need derivative evaluation per iteration. Hence, this work contributes two new multistep classes of Steffensen-type methods for finding the solution of the nonlinear equation f x 0. New techniques can be taken into account as the generalizations of the one-step method of Steffensen. Theoretical proo...
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Keywords: Multipoint iterative methods Steffensen's method King's family Derivative-free Efficiency index a b s t r a c t First, it is attempted to derive an optimal derivative-free Steffensen–King's type family without memory for computing a simple zero of a nonlinear function with efficiency index 4 1=3 % 1:587. Next, since our without memory family includes a parameter in which it is still p...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2012
ISSN: 0161-1712,1687-0425
DOI: 10.1155/2012/932420