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Extension of the Lanczos and CGS methods to systems of nonlinear equations

✍ Scribed by Sonia Krzyworzcka


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
394 KB
Volume
69
Category
Article
ISSN
0377-0427

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Iterative methods of order four and five
✍ Alicia Cordero; Eulalia MartΓ­nez; Juan R. Torregrosa πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 657 KB

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 β‰₯ 2, under the same conditions as the classical Newton method. Also, numerical examples will confirm the theoretical results.