Two-step Iterative Methods with Sixth-order Convergence for Solving Nonlinear Equations
Journal of Advances in Mathematics and Computer Science · pp. 1941–1950 · Published 15 May 2014
10.9734/BJMCS/2014/10214Abstract
Two parameter families of sixth-order iterative methods for finding simple zeros of nonlinear equations are developed. The new methods have the order of convergence order of five or six. Per iteration these new methods require two evaluations of the function and two evaluations of the first-order derivatives. In fact, the efficiency index of these methods is . Several examples are given to illustrate the efficiency of these new methods and their comparisons with other sixth-order method.
References (8)
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