Research Article
Constraint Consensus Methods for Finding Interior Feasible Points in Second-Order Cones
Table 3
SOCs: comparison of Original method and Original method with backtracking.
| Problem | Original | Original with backtracking | Iter | Time (sec) | Interior feas Pt? | Iter | Time (sec) | Interior feas Pt? |
| 1 | 34 | 0.055 | N | 4 | 0.023 | Y | 2 | 83 | 0.194 | N | 33 | 0.162 | N | 3 | 121 | 0.094 | N | 51 | 0.086 | Y | 4 | 53 | 0.117 | N | 14 | 0.059 | Y | 5 | 98 | 0.135 | N | 30 | 0.085 | N | 6 | 500 | 1.195 | N | 500 | 2.506 | N | 7 | 40 | 0.013 | N | 4 | 0.003 | Y | 8 | 81 | 0.034 | N | 24 | 0.021 | N | 9 | 78 | 0.082 | N | 32 | 0.071 | N | 10 | 42 | 0.080 | N | 15 | 0.059 | Y | 11 | 140 | 0.252 | N | 61 | 0.228 | N | 12 | 127 | 0.269 | N | 60 | 0.258 | N | 13 | 500 | 0.870 | N | 500 | 1.842 | N | 14 | 7 | 0.003 | N | 3 | 0.003 | Y | 15 | 23 | 0.009 | N | 4 | 0.003 | Y | 16 | 5 | 0.001 | N | 3 | 0.001 | Y | 17 | 12 | 0.004 | N | 3 | 0.002 | Y | 18 | 85 | 0.189 | N | 5 | 0.025 | Y | 19 | 95 | 0.148 | N | 10 | 0.033 | Y | 20 | 66 | 0.139 | N | 22 | 0.096 | Y | 21 | 43 | 0.083 | N | 32 | 0.126 | Y | 22 | 339 | 0.610 | N | 10 | 0.040 | Y | 23 | 197 | 0.448 | N | 69 | 0.327 | N | 24 | 10 | 0.006 | N | 4 | 0.005 | Y | 25 | 27 | 0.037 | N | 7 | 0.020 | Y |
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