A New Iterative Method with Sixth-Order Convergence for Solving Nonlinear Equations
2012 ◽
Vol 542-543
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pp. 1019-1022
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In this paper, we present and analyze a new iterative method for solving nonlinear equations. It is proved that the method is six-order convergent. The algorithm is free from second derivatives, and it requires three evaluations of the functions and two evaluations of derivatives in each iteration. The efficiency index of the presented method is 1.431 which is better than that of classical Newton’s method 1.414. Some numerical experiments illustrate that the proposed method is more efficient and performs better than classical Newton's method and some other methods.
2012 ◽
Vol 220-223
◽
pp. 2585-2588
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2012 ◽
Vol 490-495
◽
pp. 1839-1843
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2012 ◽
Vol 490-495
◽
pp. 51-55
2013 ◽
Vol 846-847
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pp. 1274-1277
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2014 ◽
Vol 540
◽
pp. 435-438
2012 ◽
Vol 524-527
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pp. 3824-3827
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Keyword(s):
2012 ◽
Vol 220-223
◽
pp. 2574-2577
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2017 ◽
Vol 10
(1)
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pp. 144-150
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2012 ◽
Vol 220-223
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pp. 2658-2661
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