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

0−0.8900000000000000.0154886
1−0.9054886401381610.05047432426 0.04879773270 3.99189
2−0.9054886372333140.04879773239 4.00000
3−0.9054886372333140.04879773270 4.00000
4−0.905488637233314

01.19000000000000 0.102779 0.190000
10.9991787343480230.6301867327 0.2584060085 3.46320
20.9999999999998830.25727195384.00062
31.000000000000000.2584060085 4.00000
41.00000000000000

02.65000000000000 0.00424869
12.64575131054487 1.594967181 1.992474266 4.04075
22.645751311064591.992474316 4.00000
32.645751311064591.9924742664.00000
42.64575131106459

01.19000000000000 0.0215466
11.06845276583309 2.911081724 2.4375758823.95374
21.068453393269822.4375758821 4.00000
31.068453393269822.4375758824.00000
41.06845339326982

01.89000000000000 0.0229312
11.91292827592121 10.51276543 14.87454509 4.09193
21.9129311827723914.874119674.00000
31.9129311827723914.874545094.00000
41.91293118277239