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Iterative methods of order four and five for systems of nonlinear equations

✍ Scribed by Alicia Cordero; Eulalia Martínez; Juan R. Torregrosa

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
657 KB
Volume
231
Category
Article
ISSN
0377-0427

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✦ Synopsis

The Adomian decomposition is used in order to obtain a family of methods to solve systems of nonlinear equations. The order of convergence of these methods is proved to be p ≥ 2, under the same conditions as the classical Newton method. Also, numerical examples will confirm the theoretical results.

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A family of multi-point iterative method
A family of multi-point iterative methods for solving systems of nonlinear equations
✍ Gyurhan H. Nedzhibov 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 362 KB

We extend to n-dimensional case a known multi-point family of iterative methods for solving nonlinear equations. This family includes as particular cases some well known and also some new methods. The main advantage of these methods is they have order three or four and they do not require the evalua