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Zbl 1130.41006
Kou, Jisheng; Li, Yitian; Wang, Xiuhua
Some variants of Ostrowski's method with seventh-order convergence. (English)
[J] J. Comput. Appl. Math. 209, No. 2, 153-159 (2007). ISSN 0377-0427

Summary: We present a class of new variants of Ostrowski's method with order of convergence seven. Per iteration the new methods require three evaluations of the function and one evaluation of its first derivative and therefore this class of methods has the efficiency index equal to 1.627. Numerical tests verifying the theory are given, and multistep iterations, based on the present methods, are developed.

MSC 2000:: *41A25 Degree of approximation, etc.
65D99 Numerical approximation

Keywords: nonlinear equations; Ostrowski's method; root-finding; iterative method

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Zentralblatt MATH Berlin [Germany]