A one-parameter fourth-order family of iterative methods for nonlinear equations. (English) Zbl 1122.65330
Summary: 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.
MSC:
| 65H05 | Numerical computation of solutions to single equations |
Keywords:
Newton’s method; iterative methods; nonlinear equations; order of convergence; Traub-Ostrowski’s fourth-order method; numerical examplesReferences:
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