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Zbl 1184.65054
Wang, Xiuhua; Kou, Jisheng; Li, Yitian
Modified Jarratt method with sixth-order convergence. (English)
[J] Appl. Math. Lett. 22, No. 12, 1798-1802 (2009). ISSN 0893-9659

Summary: We present a variant of Jarratt method with order of convergence six for solving non-linear equations [cf. {\it J. Kou} and {\it Y. Li}, Appl. Math. Comput. 189, No.~2, 1816--1821 (2007; Zbl 1122.65338)]. Per iteration the method requires two evaluations of the function and two of its first derivatives. The new multistep iteration scheme, based on the new method, is developed and numerical tests verifying the theory are also given.

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

Keywords: Jarratt method; Newton method; non-linear equations; root finding; iterative method; numerical examples; order of convergence six

Citations: Zbl 1122.65338

Cited in: Zbl 1234.65030

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