𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An Improvement of Ostrowski’s and King’s Techniques with Optimal Convergence Order Eight

✍ Scribed by Fazlollah Soleymani; Mahdi Sharifi; Bibi Somayeh Mousavi


Book ID
106433495
Publisher
Springer
Year
2011
Tongue
English
Weight
430 KB
Volume
153
Category
Article
ISSN
0022-3239

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A family of modified Ostrowski’s methods
✍ Alicia Cordero; Juan R. Torregrosa; María P. Vassileva 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 214 KB

In this paper, we derive a new family of eighth-order methods for obtaining simple roots of nonlinear equations by using the weight function method. Each iteration of these methods requires three evaluations of the function and one evaluation of its first derivative, so that their efficiency indices

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