Research Article
A Triparametric Family of Optimal Fourth-Order Multiple-Root Finders and Their Dynamics
Table 3
Extraneous fixed points
with stability check for selected cases with
.
| | Method | | | Number of points | | | <1 | | >1 |
| | 2 | | 8 | 0 | 0 | 8 | | 3 | | 12 | 0 | 0 | 12 | | 4 | | 16 | 0 | 0 | 16 | | 5 | () | 20 | 0 | 0 | 20 |
| | Kan | 2 | | 8 | 0 | 0 | 8 | | 3 | | 12 | 0 | 0 | 12 | | 4 | | 16 | 0 | 0 | 16 | | 5 | () | 20 | 0 | 0 | 20 |
| | Sol | 2 | — | — | — | — | — | | 3 | | 12 | 0 | 0 | 12 | | 4 | | 16 | 0 | 0 | 16 | | 5 | () | 20 | 0 | 0 | 20 |
| | Li | 2 | — | — | — | — | — | | 3 | | 6 | 0 | 0 | 6 | | 4 | | 8 | 0 | 0 | 8 | | 5 | | 10 | 0 | 0 | 10 |
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