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Table 2 Numerical results for Example 7.1 in the case \(\pmb{N = 10}\)

From: On the convergence of high-order Ehrlich-type iterative methods for approximating all zeros of a polynomial simultaneously

k \(\boldsymbol{x_{1}^{(k)}}\) \(\boldsymbol{x_{2}^{(k)}}\)
0 0.5 + 0.5i −1.36 + 0.42i
1 1.000000380419496 + 0.000000816235730i −1.000000220051461 − 0.000000495915480i
2 1.000000000000000 + 0.000000000000000i −1.000000000000000 + 0.000000000000000i
k \(\boldsymbol{x_{1}^{(k)}}\) \(\boldsymbol{x_{2}^{(k)}}\)
0 −0.25 + 1.28i 0.46 − 1.37i
1 0.000000277962637 + 0.999999578393062i −0.000000314533436 − 0.999998669784542i
2 0.000000000000000 + 1.000000000000000i 0.000000000000000 − 1.000000000000000i