Theory and Modern Applications
Table 4 Residual errors of simultaneous methods PJM10D, MNS10D, MNS10M, MNS12D and MNS12M for finding all the distinct as well as multiple roots of nonlinear equation used in Example 3
From: Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation
Method | CO | n | CPU | \({ e}_{1}\) | \({ e} _{2}\) | \({ e}_{3}\) | \({ e}_{4}\) |
|---|---|---|---|---|---|---|---|
PJM10D | 10 | 2 | 0.125 | 9.3e-3 | 2.6e-4 | 1.2e-3 | 9.3e-3 |
MNS10D | 10 | 2 | 0.079 | 1.0e-9 | 0.0 | 0.0 | 1.0e-9 |
MNS10M | 10 | 2 | 0.068 | 0.0 | 0.0 | 0.0 | 0.0 |
MNS12D | 12 | 2 | 0.078 | 1.0e-9 | 0.0 | 0.0 | 1.0e-9 |
MNS12M | 12 | 2 | 0.093 | 0.0 | 0.0 | 0.0 | 0.0 |