Article ID Journal Published Year Pages File Type
4635411 Applied Mathematics and Computation 2007 5 Pages PDF
Abstract

In this paper, we present a new one-parameter fourth-order family of iterative methods for solving nonlinear equations. The new family requires two evaluations of the given function and one of its first derivative per iteration. The well-known Traub–Ostrowski’s fourth-order method is shown to be part of the family. Several numerical examples are given to illustrate the efficiency and performance of the presented methods.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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