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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