Fourth-order iterative methods free from second derivative. (English) Zbl 1114.65046
Summary: We present a family of new iterative methods with order of convergence four for solving nonlinear equations. Per iteration these methods require one evaluation of the function and two of its first derivative. Analysis of efficiency, in term of function evaluations, shows that this family of methods has great superiority, which is also demonstrated by numerical examples.
MSC:
| 65H05 | Numerical computation of solutions to single equations |
Keywords:
nonlinear equations; Newton’s method; root-finding; iterative method; convergence; numerical examplesReferences:
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