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Zbl 1126.65046
Sharma, J.R.; Guha, R.K.
A family of modified Ostrowski methods with accelerated sixth order convergence. (English)
[J] Appl. Math. Comput. 190, No. 1, 111-115 (2007). ISSN 0096-3003

Authors' summary: Based on Ostrowski's fourth order multipoint method, we derive a one-parameter family of sixth order methods for solving single nonlinear equations in $\Bbb R$. Each member of the family requires three evaluations of the given function and one evaluation of its derivative per iteration. Numerical examples are presented and performance is compared with Ostrowski's method.
[B. Döring (Düsseldorf)]

MSC 2000:: *65H05 Single nonlinear equations (numerical methods)

Keywords: single nonlinear equations; Ostrowski method; root-finding in $\Bbb R$; order of convergence

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Zentralblatt MATH Berlin [Germany]