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Zbl 1193.65055
Chun, Changbum; Ham, Yoonmee
Some sixth-order variants of Ostrowski root-finding methods. (English)
[J] Appl. Math. Comput. 193, No. 2, 389-394 (2007). ISSN 0096-3003

Summary: We present some sixth-order class of modified Ostrowski's methods for solving nonlinear equations. Per iteration each class member requires three function and one first derivative evaluations, and is shown to be at least sixth-order convergent. Several numerical examples are given to illustrate the performance of some of the presented methods.
MSC 2000:
*65H05 Single nonlinear equations (numerical methods)

Keywords: Newton's method; iterative methods; nonlinear equations; order of convergence; Ostrowski's method

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