Some New Variants of Newton's Method
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HYBRID
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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. © 2004 Elsevier Ltd. All rights reserved.
Description
Keywords
Function evaluations, Iteration function, Newton's method, Order of convergence, Newton's method, convergence, Order of convergence, harmonic mean Newton's method, Applied Mathematics, midpoint Newton's method, Numerical computation of solutions to single equations, Function evaluations, Iteration function
Fields of Science
0101 mathematics, 01 natural sciences
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OpenCitations Citation Count
181
Volume
17
Issue
6
Start Page
677
End Page
682
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CrossRef : 104
Scopus : 241
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Mendeley Readers : 19
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241
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