Some New Variants of Newton's Method
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Date
2004
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Pergamon-elsevier Science Ltd
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Abstract
Some new variants of Newton's method based on harmonic mean and midpoint integration rule have been developed and their convergence properties have been discussed. The order of convergence of the proposed methods are three. In addition to numerical tests verifying the theory, a comparison of the results for the proposed methods and some of the existing ones have also been given. (C) 2004 Elsevier Ltd. All rights reserved.
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Newton's method, iteration function, order of convergence, function evaluations
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Q1
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Volume
17
Issue
6
Start Page
677
End Page
682
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