This thesis discusses two methods are non-derivative iteration fourth order both to
complete the nonlinear equations. Each iteration, requires an
evaluation of the evaluation function and two first derivative function. At the convergence analysis
shows that the iteration method is of the order of convergence
of four, so it has an index of 1.587 efficiency. Furthermore, from the numerical simulation
shows that the discussed method is better than the method of
Newton and methods Jarratt in getting roots approach.
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