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Some variants of Chebyshev-halley methods free from second derivative. (English) Zbl 1193.65053

Summary: We present some new modifications of Chebyshev-Halley methods free from second derivative. The convergence analysis shows that the new methods are third-order convergent and require one function and two first derivative evaluations per iteration. Several numerical examples are given to illustrate the performance of the presented methods.

MSC:

65H05 Numerical computation of solutions to single equations
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References:

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