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MULTIPOINT METHODS FOR SOLVING NONLINEAR EQUATIONS by Jovana Dzunic, Ljiljana Petkovic, Beny Neta, Miodrag Petkovic

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Chapter 3

Three-point non-optimal methods

In Chapter 2 we have presented several two-point methods with order of convergence three and four. None of these methods has order higher than four, which supports the Kung-Traub conjecture that the upper bound of the order of convergence of image-point methods requiring image function evaluations is image. In this chapter we will study three-point methods whose order also cannot reach the Kung-Traub bound . Recall that the ...

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