Research Article
Behind Jarratt’s Steps: Is Jarratt’s Scheme the Best Version of Itself?
Table 1
Numerical performance of iterative methods in nonlinear equations for
close to
.
| Function | Method | | | | Iter | | e-time |
|
| | 0.714806 | | | 5 | 4.00 | 0.20 | | 0.714806 | | | 5 | 4.00 | 0.20 | | | | | 5 | 4.00 | 0.19 | | 0.714806 | | | | 4.00 | 0.10 | Ostrowski | 0.714806 | | | 5 | 4.00 | 0.18 | Chun | 0.714806 | | | 5 | 4.00 | 0.15 |
|
| | 0.739085 | | | 5 | 4.00 | 0.15 | | 0.739085 | | | 5 | 4.00 | 0.13 | | 0.739085 | | | 5 | 4.00 | 0.16 | | 0.739085 | | | | 4.00 | 0.21 | Ostrowski | 0.739085 | | | 5 | 4.00 | 0.15 | Chun | 0.739085 | | | 5 | 4.00 | 0.18 |
|
| | 0.767653 | | | 5 | 4.00 | 0.25 | | 0.767653 | | | 5 | 4.00 | 0.23 | | 0.767653 | | | 5 | 4.00 | 0.17 | | 0.767653 | | | | 4.00 | 0.16 | Ostrowski | 0.767653 | | | 5 | 4.00 | 0.17 | Chun | 0.739085 | | | 5 | 4.00 | 0.18 |
|
| | 1.409624 | | | 5 | 4.00 | 0.16 | | 1.409624 | | | 5 | 4.00 | 0.14 | | 1.409624 | | | 5 | 4.00 | 0.16 | | 1.409624 | | | | 4.00 | 0.16 | Ostrowski | 1.409624 | | | 5 | 4.00 | 0.16 | Chun | 1.409624 | | | 6 | 4.00 | 0.18 |
|
|