Research Article

Constraint Consensus Methods for Finding Interior Feasible Points in Second-Order Cones

Table 6

CQCs: comparison of the Original method and Original method with backtracking.

Problem Original Original with backtracking
IterTime (sec) Interior feas Pt?IterTime (sec)Interior feas Pt?

1550.050N190.028N
2160.022N70.016Y
3510.129N160.060Y
4180.049N60.028N
51580.127N530.070N
6160.060N90.056Y
7250.109N60.042N
8480.151N140.072N
9310.051N110.032Y
10150.061N80.052Y
111300.236N420.121N
12190.028N60.015Y
13140.005N80.005Y
14320.143N80.057N
15240.024N70.011N
16210.005N110.005Y
17280.068N70.027N
18260.119N60.043N
19860.325N290.181N
20770.291N300.183N
211350.451N500.286N
22240.115N80.059N
23170.042N80.031Y
24150.002N140.003Y
25390.101N120.050Y