A high-order newton-like method |
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Authors: | Xiuhua Wang Lijun Tang Jisheng Kou |
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Affiliation: | (1) Department of Pure and Applied Mathematics, University of Padova, Via Trieste 63, Padova, 35121, Italy |
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Abstract: | This paper gives a new iterative method to solve the non-linear equation. We prove that this method has the asymptotic convergent order 1 + $
sqrt 3
$
sqrt 3
. When the iterative times exceed 2, only one evaluation of the function and one of its first derivative is required by each iteration of the method. Therefore the new method is better than Newton’s method. |
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Keywords: | non-linear equation iterative method Newton's method root-finding |
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