New modifications of Potra–Pták’s method
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Alicia Cordero; José L. Hueso; Eulalia Martínez; Juan R. Torregrosa
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Article
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2010
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Elsevier Science
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English
⚖ 288 KB
## a b s t r a c t In this paper, we present two new iterative methods for solving nonlinear equations by using suitable Taylor and divided difference approximations. Both methods are obtained by modifying Potra-Pták's method trying to get optimal order. We prove that the new methods reach orders