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Newton–Kantorovich approximations under weak continuity conditions

✍ Scribed by Ioannis K. Argyros; Saïd Hilout


Book ID
107620075
Publisher
Springer-Verlag
Year
2010
Tongue
English
Weight
528 KB
Volume
37
Category
Article
ISSN
1598-5865

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Under weak conditions, we present an iteration formula to improve Newton's method for solving nonlinear equations. The method is free from second derivatives, permitting f (x) = 0 in some points and per iteration it requires two evaluations of the given function and one evaluation of its derivative.