Research Article
A Triparametric Family of Optimal Fourth-Order Multiple-Root Finders and Their Dynamics
Table 5
Convergence for test functions
with selected methods
– .
| MT | | | | | | | | |
| | | 0 | | 0.000678292 | 0.0298039 | | | | | | 1 | | | | 0.1484996662 | 0.1356337586 | 3.97420 | | | 2 | | | | 0.1356337326 | | 4.00000 | | | 3 | | | | 0.1356337586 | | 4.00000 | | | 4 | | | | | | |
| | | 0 | −0.890000000000000 | | 0.0154886 | | | | | | 1 | −0.905488640138161 | | | 0.05047432426 | 0.04879773270 | 3.99189 | | | 2 | −0.905488637233314 | | | 0.04879773239 | | 4.00000 | | | 3 | −0.905488637233314 | | | 0.04879773270 | | 4.00000 | | | 4 | −0.905488637233314 | | | | | |
| | | 0 | 1.19000000000000 | 0.102779 | 0.190000 | | | | | | 1 | 0.999178734348023 | | | 0.6301867327 | 0.2584060085 | 3.46320 | | | 2 | 0.999999999999883 | | | 0.2572719538 | | 4.00062 | | | 3 | 1.00000000000000 | | | 0.2584060085 | | 4.00000 | | | 4 | 1.00000000000000 | | | | | |
| | | 0 | 2.65000000000000 | | 0.00424869 | | | | | | 1 | 2.64575131054487 | | | 1.594967181 | 1.992474266 | 4.04075 | | | 2 | 2.64575131106459 | | | 1.992474316 | | 4.00000 | | | 3 | 2.64575131106459 | | | 1.992474266 | | 4.00000 | | | 4 | 2.64575131106459 | | | | | |
| | | 0 | 1.19000000000000 | | 0.0215466 | | | | | | 1 | 1.06845276583309 | | | 2.911081724 | 2.437575882 | 3.95374 | | | 2 | 1.06845339326982 | | | 2.4375758821 | | 4.00000 | | | 3 | 1.06845339326982 | | | 2.437575882 | | 4.00000 | | | 4 | 1.06845339326982 | | | | | |
| | | 0 | 1.89000000000000 | | 0.0229312 | | | | | | 1 | 1.91292827592121 | | | 10.51276543 | 14.87454509 | 4.09193 | | | 2 | 1.91293118277239 | | | 14.87411967 | | 4.00000 | | | 3 | 1.91293118277239 | | | 14.87454509 | | 4.00000 | | | 4 | 1.91293118277239 | | | | | |
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