Research Article

A Novel Approach for Solving Semidefinite Programs

Table 2

Numerical results compared with [16] for computing binary integer quadratic programs problem.

Name Algorithm 1 in this paper SDPAD
pinf dinf gap itr cpu pinf dinf gap itr cpu 

be100.1 101 1464 3.76 2012 4.79
be100.2 101 1322 3.24 1744 4.24
be120.3.1 121 2214 6.82 2447 7.45
be120.3.2 121 1968 6.20 2405 7.53
be120.8.1 121 1618 4.78 2006 5.87
be120.8.2 121 3033 9.56 3415 10.64
be150.3.1 151 2030 9.08 2557 11.36
be150.3.2 151 2244 10.16 3143 14.01
be150.8.1 151 1694 7.33 2255 9.63
be150.8.2 151 1829 8.10 2386 10.28
be200.3.1 201 2031 13.90 2840 19.19
be200.3.2 201 2254 16.03 3276 23.20
be200.8.1 201 3068 21.90 4154 29.47
be200.8.2 201 1817 11.98 2918 19.11
be250.1 251 3638 36.27 5336 52.52
be250.2 251 3280 32.22 5111 49.91
bqp50-1 51 3334 3.73 2800 3.08
bqp50-2 51 4278 4.15 6975 6.60
bqp100-1 101 1558 3.58 1917 4.32
bqp100-2 101 2887 6.43 3438 7.56
bqp250-1 251 3135 30.35 4943 48.14
bqp250-2 251 3467 32.96 5091 48.01
bqp500-1 501 4676 3 : 20 6931 4 : 54
bqp500-2 501 5307 3 : 49 10580 7 : 31
gka1a 51 2240 2.05 2635 2.33
gka2a 61 1326 1.36 2594 2.51
gka3a 71 1098 1.58 1328 1.88
gka4a 81 1371 2.14 2273 3.39
gka5a 51 1268 1.24 1392 1.33
gka6a 31 927 0.60 979 0.62
gka7a 31 948 0.65 1906 1.24
gka8a 101 2521 5.02 5804 10.91
gka9b 101 1263 3.02 1313 3.07
gka10b 126 1775 8.11 1810 8.32
gka6c 91 4002 7.92 5122 9.95
gka7c 101 4478 9.69 5314 11.45
gka9d 101 1091 2.69 1500 3.64
gka10d 101 1423 3.38 1798 4.23
gka4e 201 3534 24.79 4754 33.12
gka5e 201 3153 22.09 4157 28.95
gka4f 501 5153 4 : 14 7529 6 : 08
gka5f 501 4660 3 : 48 7023 5 : 41