Optimal Eighth Order Iterative Methods

Abstract

We develop an eighth order family of methods, consisting of three steps and three parameters, for solving nonlinear equations. Per iteration the methods require four evaluations (three function evaluations and one evaluation of the first derivative). Convergence analysis shows that the family is eighth-order convergent which is also substantiated through… (More)
DOI: 10.1007/s11786-011-0064-7

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