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On rediscovered iteration methods for solving equations

✍ Scribed by Miodrag Petković; Dragoslav Herceg

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
92 KB
Volume
107
Category
Article
ISSN
0377-0427

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✦ Synopsis

In the recent papers of Gerlach (SIAM Rev. 36 (1994) 272-276) and Ford and Pennline (SIAM Rev. 38 (1996) 658-659) a class of iterative methods for solving a single equation f(x) = 0, with arbitrary rate of convergence, has been presented. In this paper we show that this class is equivalent to ÿve other classes of iterative methods, derived earlier in various ways and expressed in di erent forms. The proofs of equivalence of all considered iteration formulas are given.

📜 SIMILAR VOLUMES

Variational iteration method for solving
Variational iteration method for solving wave equation
✍ A.A. Hemeda 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 232 KB

a b s t r a c t By the variational iteration method the solution of the wave equation in different forms is exactly obtained. The obtained solutions show that the variational iteration method is effective, simple and easy compared with many of the other methods. So it has a wide range of application