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Some variants of Ostrowski's method with seventh-order convergence

✍ Scribed by Jisheng Kou; Yitian Li; Xiuhua Wang

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
135 KB
Volume
209
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper, 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.

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