Research Article
Three New Optimal Fourth-Order Iterative Methods to Solve Nonlinear Equations
Table 2
Comparison of the methods for a single root.
| | | IT | NOFE | | NM | NOM | CHM | CM | ZM | FAM1 | FAM2 | FAM3 | NM | NOM | CHM | CM | ZM | FAM1 | FAM2 | FAM3 |
| | 1 | 6 | 4 | 5 | 4 | 4 | 3 | 3 | 3 | 12 | 12 | 15 | 12 | 12 | 9 | 9 | 9 | | 1 | 5 | 3 | 4 | 2 | 3 | 3 | 3 | 2 | 10 | 9 | 12 | 6 | 9 | 9 | 9 | 6 | | 2 | 5 | 2 | 4 | 3 | 3 | 2 | 3 | 2 | 10 | 6 | 12 | 9 | 9 | 6 | 9 | 6 | | 1.3 | 5 | 3 | 4 | 4 | 3 | 3 | 3 | 2 | 10 | 9 | 12 | 12 | 9 | 9 | 9 | 6 | | -1 | 6 | 4 | 5 | 4 | 4 | 4 | 4 | 3 | 12 | 12 | 15 | 12 | 12 | 12 | 12 | 9 | | 2 | 6 | 4 | 5 | 4 | 4 | 3 | 4 | 3 | 12 | 12 | 15 | 12 | 12 | 9 | 12 | 9 | | 3 | 7 | 4 | 5 | 4 | 4 | 4 | 3 | 3 | 14 | 12 | 15 | 12 | 12 | 12 | 9 | 9 | | 3.5 | 6 | 3 | 5 | 3 | 4 | 3 | 3 | 3 | 12 | 9 | 15 | 9 | 12 | 9 | 9 | 9 | | 1 | 6 | 4 | 6 | 4 | 4 | 3 | 3 | 3 | 12 | 12 | 18 | 12 | 12 | 9 | 9 | 9 | | 2 | 9 | 5 | 7 | 6 | 5 | 4 | 4 | 4 | 18 | 15 | 21 | 18 | 15 | 12 | 12 | 12 | | 0.5 | 5 | 4 | 4 | 4 | 3 | 3 | 3 | 3 | 10 | 12 | 12 | 12 | 9 | 9 | 9 | 9 |
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