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On the construction of iterative methods with at least cubic convergence. (English) Zbl 1122.65326
Summary: Using the iteration formulas of order two for solving nonlinear equations, we present a basic tool for deriving new higher order iterative methods that do not require the computation of the second-order or higher-order derivatives. The presented convergence analysis shows that the order of convergence of the obtained iterative methods are three or higher. The comparison with other methods is given.

MSC:
65H05 Numerical computation of solutions to single equations
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