Research Article
Constraint Consensus Methods for Finding Interior Feasible Points in Second-Order Cones
Table 4
SOCs: comparison of DBmax method and DBmax method with backtracking.
| Problem | DBmax | DBmax with Backtracking | Iter | Time (sec) | Interior feas Pt? | Iter | Time (sec) | Interior feas Pt? |
| 1 | 16 | 0.014 | N | 5 | 0.014 | Y | 2 | 145 | 0.332 | N | 16 | 0.100 | Y | 3 | 101 | 0.077 | N | 30 | 0.061 | Y | 4 | 14 | 0.030 | N | 5 | 0.025 | Y | 5 | 25 | 0.035 | N | 6 | 0.021 | Y | 6 | 500 | 1.196 | N | 500 | 3.313 | N | 7 | 6 | 0.002 | N | 7 | 0.005 | Y | 8 | 52 | 0.022 | N | 8 | 0.008 | Y | 9 | 13 | 0.014 | N | 18 | 0.040 | Y | 10 | 20 | 0.038 | N | 8 | 0.038 | Y | 11 | 35 | 0.063 | N | 8 | 0.036 | Y | 12 | 87 | 0.179 | N | 17 | 0.091 | Y | 13 | 500 | 0.866 | N | 500 | 2.408 | N | 14 | 3 | 0.001 | N | 3 | 0.003 | Y | 15 | 5 | 0.002 | N | 4 | 0.003 | Y | 16 | 5 | 0.001 | N | 3 | 0.001 | Y | 17 | 14 | 0.004 | N | 4 | 0.003 | Y | 18 | 37 | 0.082 | N | 9 | 0.055 | N | 19 | 35 | 0.054 | N | 9 | 0.039 | N | 20 | 87 | 0.181 | N | 12 | 0.065 | Y | 21 | 8 | 0.016 | N | 7 | 0.036 | Y | 22 | 5 | 0.010 | N | 5 | 0.023 | Y | 23 | 31 | 0.072 | N | 10 | 0.057 | Y | 24 | 4 | 0.003 | Y | 4 | 0.007 | Y | 25 | 20 | 0.027 | N | 7 | 0.024 | Y |
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