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Convergence for a family of modified Chebyshev methods under weak condition

✍ Scribed by Wang, Xiuhua; Kou, Jisheng


Book ID
120386117
Publisher
Springer US
Year
2013
Tongue
English
Weight
269 KB
Volume
66
Category
Article
ISSN
1017-1398

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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.