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On the local convergence of a family of two-step iterative methods for solving nonlinear equations

✍ Scribed by Grau-Sánchez, Miquel; Noguera, Miquel; Diaz-Barrero, José L.

Book ID
122312934
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
474 KB
Volume
255
Category
Article
ISSN
0377-0427

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✍ Hamilton A. Chase 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 877 KB

x,,, -J, m = 1, 2, 3 . . be an iteration method for solving the nonlinear problem F(X) = 0, where F(X) and its derivatives possess all of the properties required by T(x,,,). Then ifit can be established thatfor the problem at hand jlF(~,+ 1)i/ < &,, llF(x& V m > M,, (M, < co) and 0 < &,, < 1, dejini