Skip to main content

Theory and Modern Applications

Table 2 Residual errors of simultaneous methods NIM10 and NIM12 for finding all roots of \(f_{1}(r)\)

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

Method

CPU

\(\mbox{e}_{1}^{(3)}\)

\(\mbox{e}_{2}^{(3)}\)

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

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

\(\mbox{e}_{5}^{(3)}\)

\(\mbox{e}_{6}^{(3)}\)

\(\mbox{e}_{7}^{(3)}\)

\(\mbox{e}_{8}^{(3)}\)

NIM10

0.766

6.9e − 10

2.3e − 12

6.1e − 11

5.0e − 11

2.7e − 9

1.7e − 11

7.6e − 9

1.0e − 13

NIM12

0.250

2.7e − 25

4.5e − 25

1.1e − 23

1.6e − 23

5.0e − 24

1.2e − 23

4.5e − 24

8.0e − 25