Title of article
Some eighth-order root-finding three-step methods
Author/Authors
Kou، نويسنده , , Jisheng and Wang، نويسنده , , Xiuhua and Li، نويسنده , , Yitian، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
9
From page
536
To page
544
Abstract
In this paper, we present an improvement of the local order of convergence to increase the efficiency of some fourth-order iterative methods and the order can be improved from four to eight. Per iteration the present methods require three evaluations of the function and one evaluation of its first derivative and therefore have the efficiency index equal to 1.682. Numerical tests verifying the theory are given.
Keywords
Iterative method , non-linear equations , Ostrowski’s method , Newton’s method , Root-finding
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2010
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1534877
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