| The outer loop iterations | Initial point | The worst solution of the inner PSO algorithm in ten times | Optimal value searched |
| 1 | (1, 0, 0, 1) | (1.1790201038, 0.0068455036, 0.0000055800, 0.6045299720) | 0.1098997373 |
| 2 | (1.1790201038, 0.0068455036, 0.0000055800, 0.6045299720) | (1.2101577213, 0.0022014145, 0.0001818586, 0.5342482555) | 0.0042986078 |
| 3 | (1.2101577213, 0.0022014145, 0.0001818586, 0.5342482555) | (1.2195605704, 0.0007725633, 0.0000130606, 0.5120492976) | 0.0004426942 |
| 4 | (1.2195605704, 0.0007725633, 0.0000130606, 0.5120492976) | (1.2226661602, 0.0002767613, 0.0000920251, 0.5049481660) | 0.0000553309 |
| 5 | (1.2226661602, 0.0002767613, 0.0000920251, 0.5049481660) | (1.2239072839, 0.0000734086, 0.0000772042, 0.5019298651) | 0.0000094730 |
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