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Theory and Modern Applications

Table 4 Residual errors of simultaneous methods NIM10 and NIM12 for finding all roots of \(f_{3}(r)\)

From: On highly efficient derivative-free family of numerical methods for solving polynomial equation simultaneously

Method

CPU

\(\mbox{e}_{1}^{(4)}\)

\(\mbox{e}_{2}^{(4)}\)

\(\mbox{e}_{3}^{(4)}\)

\(\mbox{e}_{4}^{(4)}\)

NIM10

0.016

0.1

0.05

0.20

1.9e − 3

NIM12

0.015

1.1e − 8

1.1e − 8

8.0e − 32

2.7e − 32