まず普通に SDPARA を実行して問題を解いてみる。全部で 38 反復で pdOPT で終了する。
SDPA start at [Wed Jan 11 01:47:53 2012]
set is DEFAULT
data is /home/fujisawa/data/QAP/DATS2/nug12_r2.dat-s : sparse
out is out1
NumNodes is set as 16
NumThreads is set as 12
Schur computation : DENSE
mu thetaP thetaD objP objD alphaP alphaD beta
0 1.0e+04 1.0e+00 1.0e+00 +0.00e+00 +0.00e+00 2.6e-02 4.9e-02 2.00e-01
1 9.8e+03 9.7e-01 9.5e-01 +3.51e+02 -1.53e+03 2.8e-01 6.1e-01 2.00e-01
2 8.6e+03 7.0e-01 3.7e-01 +5.06e+02 -8.40e+03 7.2e-01 1.0e+00 2.00e-01
3 3.4e+03 2.0e-01 4.6e-14 +3.83e+02 -1.44e+04 7.9e-01 7.9e-01 2.00e-01
4 9.6e+02 4.2e-02 3.6e-13 +1.23e+02 -1.81e+04 7.8e-01 7.8e-01 2.00e-01
5 2.8e+02 9.3e-03 6.2e-13 +3.20e+01 -2.28e+04 7.4e-01 7.4e-01 2.00e-01
6 9.4e+01 2.4e-03 1.2e-12 +9.70e+00 -2.80e+04 6.8e-01 6.8e-01 2.00e-01
7 3.9e+01 7.6e-04 2.7e-12 +4.07e+00 -3.16e+04 5.4e-01 2.4e-01 2.00e-01
8 2.0e+01 3.5e-04 2.9e-12 +2.58e+00 -3.20e+04 7.2e-01 7.5e-01 2.00e-01
9 8.2e+00 9.7e-05 3.9e-12 +1.52e+00 -3.20e+04 6.9e-01 4.1e-01 2.00e-01
10 3.9e+00 3.0e-05 2.4e-12 +1.26e+00 -2.70e+04 4.9e-01 3.4e-01 2.00e-01
11 2.5e+00 1.5e-05 1.4e-12 +1.20e+00 -2.07e+04 4.2e-01 5.5e-01 2.00e-01
12 1.5e+00 9.0e-06 3.3e-12 +1.17e+00 -1.20e+04 6.8e-01 4.9e-01 2.00e-01
13 7.8e-01 2.8e-06 5.6e-12 +1.13e+00 -7.47e+03 7.7e-01 7.8e-01 2.00e-01
14 2.8e-01 6.7e-07 1.8e-12 +1.12e+00 -2.75e+03 8.1e-01 8.6e-01 2.00e-01
15 8.1e-02 1.2e-07 3.8e-12 +1.12e+00 -8.06e+02 8.3e-01 9.0e-01 2.00e-01
16 2.1e-02 2.1e-08 1.5e-11 +1.12e+00 -2.12e+02 8.8e-01 9.2e-01 2.00e-01
17 5.0e-03 2.6e-09 1.1e-10 +1.12e+00 -5.02e+01 9.0e-01 9.6e-01 2.00e-01
18 9.9e-04 2.7e-10 3.7e-09 +1.11e+00 -9.30e+00 2.4e+00 9.0e-01 2.00e-01
19 2.8e-04 2.7e-10 3.5e-07 +1.02e+00 -1.56e+00 6.9e-01 8.8e-01 2.00e-01
20 8.2e-05 2.7e-10 3.0e-07 +9.68e-01 +2.20e-01 2.7e-01 5.1e-01 2.00e-01
21 5.1e-05 2.7e-10 1.5e-07 +9.40e-01 +4.72e-01 3.0e-01 4.7e-01 2.00e-01
22 3.4e-05 2.7e-10 8.7e-08 +9.07e-01 +5.96e-01 3.2e-01 4.2e-01 2.00e-01
23 2.3e-05 2.7e-10 8.1e-08 +8.75e-01 +6.59e-01 3.2e-01 4.4e-01 2.00e-01
24 1.6e-05 2.7e-10 7.0e-08 +8.52e-01 +7.06e-01 3.3e-01 4.2e-01 2.00e-01
25 1.1e-05 2.7e-10 3.7e-08 +8.34e-01 +7.33e-01 3.8e-01 3.8e-01 2.00e-01
26 7.5e-06 2.7e-10 3.7e-08 +8.19e-01 +7.49e-01 4.1e-01 4.2e-01 2.00e-01
27 5.0e-06 2.7e-10 3.1e-08 +8.07e-01 +7.61e-01 4.5e-01 4.0e-01 2.00e-01
28 3.3e-06 2.7e-10 1.8e-08 +7.99e-01 +7.68e-01 4.8e-01 5.0e-01 2.00e-01
29 2.0e-06 2.7e-10 9.2e-09 +7.93e-01 +7.75e-01 6.0e-01 4.6e-01 2.00e-01
30 1.2e-06 2.7e-10 5.6e-09 +7.89e-01 +7.78e-01 5.9e-01 4.9e-01 2.00e-01
31 7.0e-07 2.7e-10 3.0e-09 +7.87e-01 +7.81e-01 6.4e-01 5.0e-01 2.00e-01
32 4.0e-07 2.7e-10 2.0e-09 +7.86e-01 +7.82e-01 6.7e-01 4.7e-01 2.00e-01
33 2.3e-07 2.7e-10 1.2e-09 +7.85e-01 +7.83e-01 6.6e-01 5.3e-01 2.00e-01
34 1.3e-07 2.7e-10 4.8e-10 +7.85e-01 +7.84e-01 5.4e-01 5.0e-01 1.00e-01
35 7.0e-08 2.7e-10 2.8e-10 +7.85e-01 +7.84e-01 6.3e-01 4.5e-01 1.00e-01
36 3.9e-08 2.7e-10 2.1e-10 +7.84e-01 +7.84e-01 6.8e-01 6.9e-01 1.00e-01
37 1.5e-08 2.7e-10 2.7e-10 +7.84e-01 +7.84e-01 5.4e-01 5.1e-01 1.00e-01
38 7.9e-09 2.7e-10 2.0e-10 +7.84e-01 +7.84e-01 5.4e-01 5.1e-01 1.00e-01
phase.value = pdOPT
Iteration = 38
mu = +7.9432643824223709e-09
relative gap = +2.4424906541753444e-15
gap = -2.4424906541753444e-15
digits = +1.4506706825556991e+01
objValPrimal = +7.8440388538101513e-01
objValDual = +7.8440388538101757e-01
p.feas.error = +2.7034319801463384e-08
d.feas.error = +1.9844218601683394e-08
total time = 27.831870
main loop time = 27.681730
total time = 27.831870
file check time = 0.000000
file change time = 0.000120
file read time = 0.150020
SDPA end at [Wed Jan 11 01:48:22 2012]
ALL TIME = 28.915092
次にパラメータファイルを変更して以下のように 10 反復でいったん終了させる。
10 unsigned int maxIteration;
1.0E-7 double 0.0 < epsilonStar;
1.0E2 double 0.0 < lambdaStar;
2.0 double 1.0 < omegaStar;
-1.0E20 double lowerBound;
1.0E20 double upperBound;
0.1 double 0.0 <= betaStar < 1.0;
0.2 double 0.0 <= betaBar < 1.0, betaStar <= betaBar;
0.9 double 0.0 < gammaStar < 1.0;
1.0E-7 double 0.0 < epsilonDash;
%+100.50e char* xPrint (default %+8.3e, NOPRINT skips printout)
%+100.50e char* XPrint (default %+8.3e, NOPRINT skips printout)
%+100.50e char* YPrint (default %+8.3e, NOPRINT skips printout)
%+10.16e char* infPrint (default %+10.16e, NOPRINT skips printout)
SDPA start at [Wed Jan 11 01:51:02 2012]
param is ./param.sdpa.1
data is /home/fujisawa/data/QAP/DATS2/nug12_r2.dat-s : sparse
out is out.nug12_r2
NumNodes is set as 16
NumThreads is set as 12
Schur computation : DENSE
mu thetaP thetaD objP objD alphaP alphaD beta
0 1.0e+04 1.0e+00 1.0e+00 +0.00e+00 +0.00e+00 2.6e-02 4.9e-02 2.00e-01
1 9.8e+03 9.7e-01 9.5e-01 +3.51e+02 -1.53e+03 2.8e-01 6.1e-01 2.00e-01
2 8.6e+03 7.0e-01 3.7e-01 +5.06e+02 -8.40e+03 7.2e-01 1.0e+00 2.00e-01
3 3.4e+03 2.0e-01 4.6e-14 +3.83e+02 -1.44e+04 7.9e-01 7.9e-01 2.00e-01
4 9.6e+02 4.2e-02 3.6e-13 +1.23e+02 -1.81e+04 7.8e-01 7.8e-01 2.00e-01
5 2.8e+02 9.3e-03 6.2e-13 +3.20e+01 -2.28e+04 7.4e-01 7.4e-01 2.00e-01
6 9.4e+01 2.4e-03 1.2e-12 +9.70e+00 -2.80e+04 6.8e-01 6.8e-01 2.00e-01
7 3.9e+01 7.6e-04 2.7e-12 +4.07e+00 -3.16e+04 5.4e-01 2.4e-01 2.00e-01
8 2.0e+01 3.5e-04 2.9e-12 +2.58e+00 -3.20e+04 7.2e-01 7.5e-01 2.00e-01
9 8.2e+00 9.7e-05 3.9e-12 +1.52e+00 -3.20e+04 6.9e-01 4.1e-01 2.00e-01
10 3.9e+00 3.0e-05 2.4e-12 +1.26e+00 -2.70e+04 6.9e-01 4.1e-01 2.00e-01
phase.value = dFEAS
Iteration = 10
mu = +3.8953688310808947e+00
relative gap = +2.0000000000000000e+00
gap = +2.6977491072986457e+04
digits = -3.0102999566398120e-01
objValPrimal = +1.2604629416889095e+00
objValDual = -2.6976230610044768e+04
p.feas.error = +3.0251962350217824e-03
d.feas.error = +2.3544544092146680e-10
total time = 7.623765
main loop time = 7.475629
total time = 7.623765
file check time = 0.000000
file change time = 0.000128
file read time = 0.148008
SDPA end at [Wed Jan 11 01:51:11 2012]
ALL TIME = 8.810443
出力ファイル out.nug12_r2 の後半の変数行列とベクトルの部分だけを次の実行の初期点として再利用する。２回目の実行は 28 反復なので、結局合計の反復数は 38 で一緒になる。このように実行を行っていくと全体の反復の実行を二回に分けて実行したり、１反復ずつ実行したり、あるいは実行毎に計算資源の量を変更することも可能である。
SDPA start at [Wed Jan 11 01:58:27 2012]
set is DEFAULT
data is /home/fujisawa/data/QAP/DATS2/nug12_r2.dat-s : sparse
init is out11 : dense
out is out.nug12_r2
NumNodes is set as 16
NumThreads is set as 12
Schur computation : DENSE
mu thetaP thetaD objP objD alphaP alphaD beta
0 3.9e+00 1.0e+00 0.0e+00 +1.26e+00 -2.70e+04 4.9e-01 3.4e-01 2.00e-01
1 2.5e+00 5.1e-01 0.0e+00 +1.20e+00 -2.07e+04 4.2e-01 5.5e-01 2.00e-01
2 1.5e+00 3.0e-01 0.0e+00 +1.17e+00 -1.20e+04 6.8e-01 4.9e-01 2.00e-01
3 7.8e-01 9.5e-02 0.0e+00 +1.13e+00 -7.47e+03 7.7e-01 7.8e-01 2.00e-01
4 2.8e-01 2.2e-02 0.0e+00 +1.12e+00 -2.75e+03 8.1e-01 8.6e-01 2.00e-01
5 8.1e-02 4.2e-03 0.0e+00 +1.12e+00 -8.06e+02 8.3e-01 9.0e-01 2.00e-01
6 2.1e-02 7.1e-04 0.0e+00 +1.12e+00 -2.12e+02 8.8e-01 9.2e-01 2.00e-01
7 5.0e-03 8.8e-05 0.0e+00 +1.12e+00 -5.02e+01 9.0e-01 9.6e-01 2.00e-01
8 9.9e-04 8.9e-06 0.0e+00 +1.11e+00 -9.30e+00 2.4e+00 9.0e-01 2.00e-01
9 2.8e-04 8.9e-06 0.0e+00 +1.02e+00 -1.56e+00 6.9e-01 8.8e-01 2.00e-01
10 8.2e-05 8.9e-06 0.0e+00 +9.68e-01 +2.20e-01 2.7e-01 5.1e-01 2.00e-01
11 5.1e-05 8.9e-06 0.0e+00 +9.40e-01 +4.72e-01 3.0e-01 4.7e-01 2.00e-01
12 3.4e-05 8.9e-06 0.0e+00 +9.07e-01 +5.96e-01 3.2e-01 4.2e-01 2.00e-01
13 2.3e-05 8.9e-06 0.0e+00 +8.75e-01 +6.59e-01 3.2e-01 4.4e-01 2.00e-01
14 1.6e-05 8.9e-06 0.0e+00 +8.52e-01 +7.06e-01 3.3e-01 4.2e-01 2.00e-01
15 1.1e-05 8.9e-06 0.0e+00 +8.34e-01 +7.33e-01 3.8e-01 3.8e-01 2.00e-01
16 7.5e-06 8.9e-06 0.0e+00 +8.19e-01 +7.49e-01 4.1e-01 4.2e-01 2.00e-01
17 5.0e-06 8.9e-06 0.0e+00 +8.07e-01 +7.61e-01 4.5e-01 4.0e-01 2.00e-01
18 3.3e-06 8.9e-06 0.0e+00 +7.99e-01 +7.68e-01 4.8e-01 5.0e-01 2.00e-01
19 2.0e-06 8.9e-06 0.0e+00 +7.93e-01 +7.75e-01 6.0e-01 4.6e-01 2.00e-01
20 1.2e-06 8.9e-06 0.0e+00 +7.89e-01 +7.78e-01 5.9e-01 4.9e-01 2.00e-01
21 7.0e-07 8.9e-06 0.0e+00 +7.87e-01 +7.81e-01 6.4e-01 5.0e-01 2.00e-01
22 4.0e-07 8.9e-06 0.0e+00 +7.86e-01 +7.82e-01 6.7e-01 4.7e-01 2.00e-01
23 2.3e-07 8.9e-06 0.0e+00 +7.85e-01 +7.83e-01 6.6e-01 5.3e-01 2.00e-01
24 1.3e-07 8.9e-06 0.0e+00 +7.85e-01 +7.84e-01 5.4e-01 5.0e-01 1.00e-01
25 7.0e-08 8.9e-06 0.0e+00 +7.85e-01 +7.84e-01 6.3e-01 4.5e-01 1.00e-01
26 3.9e-08 8.9e-06 0.0e+00 +7.84e-01 +7.84e-01 6.8e-01 6.9e-01 1.00e-01
27 1.5e-08 8.9e-06 0.0e+00 +7.84e-01 +7.84e-01 5.4e-01 5.1e-01 1.00e-01
28 7.9e-09 8.9e-06 0.0e+00 +7.84e-01 +7.84e-01 5.4e-01 5.1e-01 1.00e-01
phase.value = pdOPT
Iteration = 28
mu = +7.9432643824223709e-09
relative gap = +2.4424906541753444e-15
gap = -2.4424906541753444e-15
digits = +1.4506706825556991e+01
objValPrimal = +7.8440388538101513e-01
objValDual = +7.8440388538101757e-01
p.feas.error = +2.7034319801463384e-08
d.feas.error = +1.9844218601683394e-08
total time = 20.901938
main loop time = 20.681880
total time = 20.901938
file check time = 0.000000
file change time = 0.000289
file read time = 0.219769
SDPA end at [Wed Jan 11 01:58:49 2012]
ALL TIME = 21.748369
SDPA start at [Wed Jan 11 01:47:53 2012]
set is DEFAULT
data is /home/fujisawa/data/QAP/DATS2/nug12_r2.dat-s : sparse
out is out1
NumNodes is set as 16
NumThreads is set as 12
Schur computation : DENSE
mu thetaP thetaD objP objD alphaP alphaD beta
0 1.0e+04 1.0e+00 1.0e+00 +0.00e+00 +0.00e+00 2.6e-02 4.9e-02 2.00e-01
1 9.8e+03 9.7e-01 9.5e-01 +3.51e+02 -1.53e+03 2.8e-01 6.1e-01 2.00e-01
2 8.6e+03 7.0e-01 3.7e-01 +5.06e+02 -8.40e+03 7.2e-01 1.0e+00 2.00e-01
3 3.4e+03 2.0e-01 4.6e-14 +3.83e+02 -1.44e+04 7.9e-01 7.9e-01 2.00e-01
4 9.6e+02 4.2e-02 3.6e-13 +1.23e+02 -1.81e+04 7.8e-01 7.8e-01 2.00e-01
5 2.8e+02 9.3e-03 6.2e-13 +3.20e+01 -2.28e+04 7.4e-01 7.4e-01 2.00e-01
6 9.4e+01 2.4e-03 1.2e-12 +9.70e+00 -2.80e+04 6.8e-01 6.8e-01 2.00e-01
7 3.9e+01 7.6e-04 2.7e-12 +4.07e+00 -3.16e+04 5.4e-01 2.4e-01 2.00e-01
8 2.0e+01 3.5e-04 2.9e-12 +2.58e+00 -3.20e+04 7.2e-01 7.5e-01 2.00e-01
9 8.2e+00 9.7e-05 3.9e-12 +1.52e+00 -3.20e+04 6.9e-01 4.1e-01 2.00e-01
10 3.9e+00 3.0e-05 2.4e-12 +1.26e+00 -2.70e+04 4.9e-01 3.4e-01 2.00e-01
11 2.5e+00 1.5e-05 1.4e-12 +1.20e+00 -2.07e+04 4.2e-01 5.5e-01 2.00e-01
12 1.5e+00 9.0e-06 3.3e-12 +1.17e+00 -1.20e+04 6.8e-01 4.9e-01 2.00e-01
13 7.8e-01 2.8e-06 5.6e-12 +1.13e+00 -7.47e+03 7.7e-01 7.8e-01 2.00e-01
14 2.8e-01 6.7e-07 1.8e-12 +1.12e+00 -2.75e+03 8.1e-01 8.6e-01 2.00e-01
15 8.1e-02 1.2e-07 3.8e-12 +1.12e+00 -8.06e+02 8.3e-01 9.0e-01 2.00e-01
16 2.1e-02 2.1e-08 1.5e-11 +1.12e+00 -2.12e+02 8.8e-01 9.2e-01 2.00e-01
17 5.0e-03 2.6e-09 1.1e-10 +1.12e+00 -5.02e+01 9.0e-01 9.6e-01 2.00e-01
18 9.9e-04 2.7e-10 3.7e-09 +1.11e+00 -9.30e+00 2.4e+00 9.0e-01 2.00e-01
19 2.8e-04 2.7e-10 3.5e-07 +1.02e+00 -1.56e+00 6.9e-01 8.8e-01 2.00e-01
20 8.2e-05 2.7e-10 3.0e-07 +9.68e-01 +2.20e-01 2.7e-01 5.1e-01 2.00e-01
21 5.1e-05 2.7e-10 1.5e-07 +9.40e-01 +4.72e-01 3.0e-01 4.7e-01 2.00e-01
22 3.4e-05 2.7e-10 8.7e-08 +9.07e-01 +5.96e-01 3.2e-01 4.2e-01 2.00e-01
23 2.3e-05 2.7e-10 8.1e-08 +8.75e-01 +6.59e-01 3.2e-01 4.4e-01 2.00e-01
24 1.6e-05 2.7e-10 7.0e-08 +8.52e-01 +7.06e-01 3.3e-01 4.2e-01 2.00e-01
25 1.1e-05 2.7e-10 3.7e-08 +8.34e-01 +7.33e-01 3.8e-01 3.8e-01 2.00e-01
26 7.5e-06 2.7e-10 3.7e-08 +8.19e-01 +7.49e-01 4.1e-01 4.2e-01 2.00e-01
27 5.0e-06 2.7e-10 3.1e-08 +8.07e-01 +7.61e-01 4.5e-01 4.0e-01 2.00e-01
28 3.3e-06 2.7e-10 1.8e-08 +7.99e-01 +7.68e-01 4.8e-01 5.0e-01 2.00e-01
29 2.0e-06 2.7e-10 9.2e-09 +7.93e-01 +7.75e-01 6.0e-01 4.6e-01 2.00e-01
30 1.2e-06 2.7e-10 5.6e-09 +7.89e-01 +7.78e-01 5.9e-01 4.9e-01 2.00e-01
31 7.0e-07 2.7e-10 3.0e-09 +7.87e-01 +7.81e-01 6.4e-01 5.0e-01 2.00e-01
32 4.0e-07 2.7e-10 2.0e-09 +7.86e-01 +7.82e-01 6.7e-01 4.7e-01 2.00e-01
33 2.3e-07 2.7e-10 1.2e-09 +7.85e-01 +7.83e-01 6.6e-01 5.3e-01 2.00e-01
34 1.3e-07 2.7e-10 4.8e-10 +7.85e-01 +7.84e-01 5.4e-01 5.0e-01 1.00e-01
35 7.0e-08 2.7e-10 2.8e-10 +7.85e-01 +7.84e-01 6.3e-01 4.5e-01 1.00e-01
36 3.9e-08 2.7e-10 2.1e-10 +7.84e-01 +7.84e-01 6.8e-01 6.9e-01 1.00e-01
37 1.5e-08 2.7e-10 2.7e-10 +7.84e-01 +7.84e-01 5.4e-01 5.1e-01 1.00e-01
38 7.9e-09 2.7e-10 2.0e-10 +7.84e-01 +7.84e-01 5.4e-01 5.1e-01 1.00e-01
phase.value = pdOPT
Iteration = 38
mu = +7.9432643824223709e-09
relative gap = +2.4424906541753444e-15
gap = -2.4424906541753444e-15
digits = +1.4506706825556991e+01
objValPrimal = +7.8440388538101513e-01
objValDual = +7.8440388538101757e-01
p.feas.error = +2.7034319801463384e-08
d.feas.error = +1.9844218601683394e-08
total time = 27.831870
main loop time = 27.681730
total time = 27.831870
file check time = 0.000000
file change time = 0.000120
file read time = 0.150020
SDPA end at [Wed Jan 11 01:48:22 2012]
ALL TIME = 28.915092
次にパラメータファイルを変更して以下のように 10 反復でいったん終了させる。
10 unsigned int maxIteration;
1.0E-7 double 0.0 < epsilonStar;
1.0E2 double 0.0 < lambdaStar;
2.0 double 1.0 < omegaStar;
-1.0E20 double lowerBound;
1.0E20 double upperBound;
0.1 double 0.0 <= betaStar < 1.0;
0.2 double 0.0 <= betaBar < 1.0, betaStar <= betaBar;
0.9 double 0.0 < gammaStar < 1.0;
1.0E-7 double 0.0 < epsilonDash;
%+100.50e char* xPrint (default %+8.3e, NOPRINT skips printout)
%+100.50e char* XPrint (default %+8.3e, NOPRINT skips printout)
%+100.50e char* YPrint (default %+8.3e, NOPRINT skips printout)
%+10.16e char* infPrint (default %+10.16e, NOPRINT skips printout)
SDPA start at [Wed Jan 11 01:51:02 2012]
param is ./param.sdpa.1
data is /home/fujisawa/data/QAP/DATS2/nug12_r2.dat-s : sparse
out is out.nug12_r2
NumNodes is set as 16
NumThreads is set as 12
Schur computation : DENSE
mu thetaP thetaD objP objD alphaP alphaD beta
0 1.0e+04 1.0e+00 1.0e+00 +0.00e+00 +0.00e+00 2.6e-02 4.9e-02 2.00e-01
1 9.8e+03 9.7e-01 9.5e-01 +3.51e+02 -1.53e+03 2.8e-01 6.1e-01 2.00e-01
2 8.6e+03 7.0e-01 3.7e-01 +5.06e+02 -8.40e+03 7.2e-01 1.0e+00 2.00e-01
3 3.4e+03 2.0e-01 4.6e-14 +3.83e+02 -1.44e+04 7.9e-01 7.9e-01 2.00e-01
4 9.6e+02 4.2e-02 3.6e-13 +1.23e+02 -1.81e+04 7.8e-01 7.8e-01 2.00e-01
5 2.8e+02 9.3e-03 6.2e-13 +3.20e+01 -2.28e+04 7.4e-01 7.4e-01 2.00e-01
6 9.4e+01 2.4e-03 1.2e-12 +9.70e+00 -2.80e+04 6.8e-01 6.8e-01 2.00e-01
7 3.9e+01 7.6e-04 2.7e-12 +4.07e+00 -3.16e+04 5.4e-01 2.4e-01 2.00e-01
8 2.0e+01 3.5e-04 2.9e-12 +2.58e+00 -3.20e+04 7.2e-01 7.5e-01 2.00e-01
9 8.2e+00 9.7e-05 3.9e-12 +1.52e+00 -3.20e+04 6.9e-01 4.1e-01 2.00e-01
10 3.9e+00 3.0e-05 2.4e-12 +1.26e+00 -2.70e+04 6.9e-01 4.1e-01 2.00e-01
phase.value = dFEAS
Iteration = 10
mu = +3.8953688310808947e+00
relative gap = +2.0000000000000000e+00
gap = +2.6977491072986457e+04
digits = -3.0102999566398120e-01
objValPrimal = +1.2604629416889095e+00
objValDual = -2.6976230610044768e+04
p.feas.error = +3.0251962350217824e-03
d.feas.error = +2.3544544092146680e-10
total time = 7.623765
main loop time = 7.475629
total time = 7.623765
file check time = 0.000000
file change time = 0.000128
file read time = 0.148008
SDPA end at [Wed Jan 11 01:51:11 2012]
ALL TIME = 8.810443
出力ファイル out.nug12_r2 の後半の変数行列とベクトルの部分だけを次の実行の初期点として再利用する。２回目の実行は 28 反復なので、結局合計の反復数は 38 で一緒になる。このように実行を行っていくと全体の反復の実行を二回に分けて実行したり、１反復ずつ実行したり、あるいは実行毎に計算資源の量を変更することも可能である。
SDPA start at [Wed Jan 11 01:58:27 2012]
set is DEFAULT
data is /home/fujisawa/data/QAP/DATS2/nug12_r2.dat-s : sparse
init is out11 : dense
out is out.nug12_r2
NumNodes is set as 16
NumThreads is set as 12
Schur computation : DENSE
mu thetaP thetaD objP objD alphaP alphaD beta
0 3.9e+00 1.0e+00 0.0e+00 +1.26e+00 -2.70e+04 4.9e-01 3.4e-01 2.00e-01
1 2.5e+00 5.1e-01 0.0e+00 +1.20e+00 -2.07e+04 4.2e-01 5.5e-01 2.00e-01
2 1.5e+00 3.0e-01 0.0e+00 +1.17e+00 -1.20e+04 6.8e-01 4.9e-01 2.00e-01
3 7.8e-01 9.5e-02 0.0e+00 +1.13e+00 -7.47e+03 7.7e-01 7.8e-01 2.00e-01
4 2.8e-01 2.2e-02 0.0e+00 +1.12e+00 -2.75e+03 8.1e-01 8.6e-01 2.00e-01
5 8.1e-02 4.2e-03 0.0e+00 +1.12e+00 -8.06e+02 8.3e-01 9.0e-01 2.00e-01
6 2.1e-02 7.1e-04 0.0e+00 +1.12e+00 -2.12e+02 8.8e-01 9.2e-01 2.00e-01
7 5.0e-03 8.8e-05 0.0e+00 +1.12e+00 -5.02e+01 9.0e-01 9.6e-01 2.00e-01
8 9.9e-04 8.9e-06 0.0e+00 +1.11e+00 -9.30e+00 2.4e+00 9.0e-01 2.00e-01
9 2.8e-04 8.9e-06 0.0e+00 +1.02e+00 -1.56e+00 6.9e-01 8.8e-01 2.00e-01
10 8.2e-05 8.9e-06 0.0e+00 +9.68e-01 +2.20e-01 2.7e-01 5.1e-01 2.00e-01
11 5.1e-05 8.9e-06 0.0e+00 +9.40e-01 +4.72e-01 3.0e-01 4.7e-01 2.00e-01
12 3.4e-05 8.9e-06 0.0e+00 +9.07e-01 +5.96e-01 3.2e-01 4.2e-01 2.00e-01
13 2.3e-05 8.9e-06 0.0e+00 +8.75e-01 +6.59e-01 3.2e-01 4.4e-01 2.00e-01
14 1.6e-05 8.9e-06 0.0e+00 +8.52e-01 +7.06e-01 3.3e-01 4.2e-01 2.00e-01
15 1.1e-05 8.9e-06 0.0e+00 +8.34e-01 +7.33e-01 3.8e-01 3.8e-01 2.00e-01
16 7.5e-06 8.9e-06 0.0e+00 +8.19e-01 +7.49e-01 4.1e-01 4.2e-01 2.00e-01
17 5.0e-06 8.9e-06 0.0e+00 +8.07e-01 +7.61e-01 4.5e-01 4.0e-01 2.00e-01
18 3.3e-06 8.9e-06 0.0e+00 +7.99e-01 +7.68e-01 4.8e-01 5.0e-01 2.00e-01
19 2.0e-06 8.9e-06 0.0e+00 +7.93e-01 +7.75e-01 6.0e-01 4.6e-01 2.00e-01
20 1.2e-06 8.9e-06 0.0e+00 +7.89e-01 +7.78e-01 5.9e-01 4.9e-01 2.00e-01
21 7.0e-07 8.9e-06 0.0e+00 +7.87e-01 +7.81e-01 6.4e-01 5.0e-01 2.00e-01
22 4.0e-07 8.9e-06 0.0e+00 +7.86e-01 +7.82e-01 6.7e-01 4.7e-01 2.00e-01
23 2.3e-07 8.9e-06 0.0e+00 +7.85e-01 +7.83e-01 6.6e-01 5.3e-01 2.00e-01
24 1.3e-07 8.9e-06 0.0e+00 +7.85e-01 +7.84e-01 5.4e-01 5.0e-01 1.00e-01
25 7.0e-08 8.9e-06 0.0e+00 +7.85e-01 +7.84e-01 6.3e-01 4.5e-01 1.00e-01
26 3.9e-08 8.9e-06 0.0e+00 +7.84e-01 +7.84e-01 6.8e-01 6.9e-01 1.00e-01
27 1.5e-08 8.9e-06 0.0e+00 +7.84e-01 +7.84e-01 5.4e-01 5.1e-01 1.00e-01
28 7.9e-09 8.9e-06 0.0e+00 +7.84e-01 +7.84e-01 5.4e-01 5.1e-01 1.00e-01
phase.value = pdOPT
Iteration = 28
mu = +7.9432643824223709e-09
relative gap = +2.4424906541753444e-15
gap = -2.4424906541753444e-15
digits = +1.4506706825556991e+01
objValPrimal = +7.8440388538101513e-01
objValDual = +7.8440388538101757e-01
p.feas.error = +2.7034319801463384e-08
d.feas.error = +1.9844218601683394e-08
total time = 20.901938
main loop time = 20.681880
total time = 20.901938
file check time = 0.000000
file change time = 0.000289
file read time = 0.219769
SDPA end at [Wed Jan 11 01:58:49 2012]
ALL TIME = 21.748369
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