A cubically convergent Newton-type metho
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Liang Fang; Guoping He; Zhongyong Hu
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Article
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2008
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Elsevier Science
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English
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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.