Research Article
Constraint Consensus Methods for Finding Strictly Feasible Points of Linear Matrix Inequalities
Table 4
Results of the OO method on the test problems with more than one constraint.
| Problem | Phase 1 | Phase 2 | Phase 1 + Phase 2 | Iter | Time (sec) | Exit | Iter | Time (sec) | Feas Pt found? | Total time (sec) |
| 1 | 20.4 | 0.008 | 100% | 1.1 | 0.002 | 87% | 0.010 | 2 | 12.7 | 0.007 | 100% | 1.0 | 0.003 | 100% | 0.010 | 3 | 11.0 | 0.012 | 100% | 1.0 | 0.004 | 100% | 0.016 | 4 | 46.0 | 0.024 | 100% | 1.4 | 0.003 | 100% | 0.027 | 5 | 192.7 | 4.276 | 100% | 2.6 | 0.098 | 64% | 4.374 | 6 | 40.1 | 0.053 | 100% | 2.1 | 0.007 | 94% | 0.060 | 7 | 226.5 | 2.080 | 100% | 2.7 | 0.036 | 59% | 2.116 | 8 | 224.6 | 2.079 | 100% | 2.6 | 0.036 | 65% | 2.115 | 9 | 78.4 | 1.167 | 100% | 3.0 | 0.059 | 55% | 1.226 | 10 | 92.6 | 0.435 | 100% | 2.0 | 0.019 | 80% | 0.454 | 11 | 116.2 | 1.435 | 100% | 2.6 | 0.052 | 72% | 1.487 | 12 | 23.8 | 0.071 | 100% | 1.2 | 0.098 | 100% | 0.080 | 13 | 124.3 | 1.006 | 100% | 2.8 | 0.034 | 72% | 1.039 | 14 | 110.5 | 0.246 | 100% | 1.4 | 0.007 | 61% | 0.253 | 15 | 265.1 | 1.870 | 100% | 1.3 | 0.015 | 67% | 1.886 | 16 | 173.7 | 2.814 | 100% | 1.9 | 0.049 | 48% | 2.863 | 17 | 103.9 | 3.935 | 100% | 1.0 | 0.069 | 100% | 4.004 | 18 | 164.1 | 0.316 | 100% | 1.5 | 0.005 | 36% | 0.321 |
| Average | 107.5 | 2.053 | 100% | 1.9 | 0.085 | 75% | 2.138 |
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