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An optimized derivative-free form of the Potra–Pták method

✍ Scribed by F. Soleymani; Rajni Sharma; Xiaowu Li; E. Tohidi


Book ID
113796708
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
237 KB
Volume
56
Category
Article
ISSN
0895-7177

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New modifications of Potra–Pták’s method
✍ Alicia Cordero; José L. Hueso; Eulalia Martínez; Juan R. Torregrosa 📂 Article 📅 2010 🏛 Elsevier Science 🌐 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