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
IterTime (sec) Interior feas Pt?IterTime (sec)Interior feas Pt?

1340.055N40.023Y
2830.194N330.162N
31210.094N510.086Y
4530.117N140.059Y
5980.135N300.085N
65001.195N5002.506N
7400.013N40.003Y
8810.034N240.021N
9780.082N320.071N
10420.080N150.059Y
111400.252N610.228N
121270.269N600.258N
135000.870N5001.842N
1470.003N30.003Y
15230.009N40.003Y
1650.001N30.001Y
17120.004N30.002Y
18850.189N50.025Y
19950.148N100.033Y
20660.139N220.096Y
21430.083N320.126Y
223390.610N100.040Y
231970.448N690.327N
24100.006N40.005Y
25270.037N70.020Y