On Generalization Based on Bi et al. Iterative Methods with Eighth-Order Convergence for Solving Nonlinear Equations
The primary goal of this work is to provide a general optimal three-step class of iterative methods based on the schemes designed by Bi et al. (2009). Accordingly, it requires four functional evaluations per iteration with eighth-order convergence. Consequently, it satisfies Kung and Traub’s conject...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/272949 |
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| Summary: | The primary goal of this work is to provide a general optimal three-step class of iterative methods based on the schemes designed by Bi et al. (2009). Accordingly, it requires four functional evaluations per
iteration with eighth-order convergence. Consequently, it satisfies Kung and Traub’s conjecture relevant to
construction optimal methods without memory. Moreover, some concrete methods of this class are shown
and implemented numerically, showing their applicability and efficiency. |
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| ISSN: | 2356-6140 1537-744X |