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

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Chapter 5

Higher-order optimal methods

This chapter concerns with multipoint methods without memory of order image. Such methods produce approximations of extraordinary accuracy, very seldom necessary in practical problems, so that at the beginning we discuss usefulness of such methods. The construction of n-point methods of optimal order image for arbitrary image is certainly justified from a theoretical point of view; these methods are of practical importance for ...

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