>> probchar1
   
 ----------------------------- 
Start of new approximate completion problem using dual-first-step
The dimension n is: 4
The number of nonzero elements in H is: 14
  
START of ALGORITHM: 
initial value of objective function is:  6.562
initial relative duality gap value:  3.091
  
   -  
iteration number:  1
cpu  time for operator LO:  0.06667
 elapsed time for operator LO:  0.1163
dual feasibility before updates:  0
cpu time for system solve:  0.06667
 elapsed time for system solve: 0.08799
value of objective function after updates:  2.594
rel. dual. gap value after updates: 2.278
  
   -  
iteration number:  2
cpu  time for operator LO:  0.1333
 elapsed time for operator LO:  0.1518
dual feasibility before updates:  4.441e-16
cpu time for system solve:  0.1333
 elapsed time for system solve: 0.1547
value of objective function after updates:  0.8095
rel. dual. gap value after updates: 1.897
  
   -  
iteration number:  3
cpu  time for operator LO:  0.1333
 elapsed time for operator LO:  0.1607
dual feasibility before updates:  5.921e-16
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1435
value of objective function after updates:  0.5369
rel. dual. gap value after updates: 1.387
  
   -  
iteration number:  4
cpu  time for operator LO:  0.1333
 elapsed time for operator LO:  0.1586
dual feasibility before updates:  3.475e-16
cpu time for system solve:  0.1333
 elapsed time for system solve: 0.1577
value of objective function after updates:  0.2046
rel. dual. gap value after updates: 0.5796
  
   -  
iteration number:  5
cpu  time for operator LO:  0.15
 elapsed time for operator LO:  0.1619
dual feasibility before updates:  7.721e-16
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1495
value of objective function after updates:  0.06568
rel. dual. gap value after updates: 0.2604
  
   -  
iteration number:  6
cpu  time for operator LO:  0.15
 elapsed time for operator LO:  0.1594
dual feasibility before updates:  1.317e-15
cpu time for system solve:  0.1333
 elapsed time for system solve: 0.1548
value of objective function after updates:  0.04531
rel. dual. gap value after updates: 0.1609
  
   -  
iteration number:  7
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.16
dual feasibility before updates:  5.618e-16
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1413
value of objective function after updates:  0.01722
rel. dual. gap value after updates: 0.05576
  
   -  
iteration number:  8
cpu  time for operator LO:  0.1333
 elapsed time for operator LO:  0.1597
dual feasibility before updates:  5.02e-16
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1437
value of objective function after updates:  0.01072
rel. dual. gap value after updates: 0.03535
  
   -  
iteration number:  9
cpu  time for operator LO:  0.1333
 elapsed time for operator LO:  0.1624
dual feasibility before updates:  3.391e-15
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1424
value of objective function after updates:  0.003668
rel. dual. gap value after updates: 0.01406
  
   -  
iteration number:  10
cpu  time for operator LO:  0.1333
 elapsed time for operator LO:  0.1597
dual feasibility before updates:  2.186e-15
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1439
value of objective function after updates:  0.001548
rel. dual. gap value after updates: 0.004115
  
   -  
iteration number:  11
cpu  time for operator LO:  0.1333
 elapsed time for operator LO:  0.1743
dual feasibility before updates:  2.508e-15
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1505
value of objective function after updates:  0.0003936
rel. dual. gap value after updates: 0.001783
  
   -  
iteration number:  12
cpu  time for operator LO:  0.15
 elapsed time for operator LO:  0.1612
dual feasibility before updates:  3.314e-14
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.144
value of objective function after updates:  0.0002931
rel. dual. gap value after updates: 0.0009923
  
   -  
iteration number:  13
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1598
dual feasibility before updates:  1.773e-14
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1422
value of objective function after updates:  0.0001069
rel. dual. gap value after updates: 0.0003711
  
   -  
iteration number:  14
cpu  time for operator LO:  0.1333
 elapsed time for operator LO:  0.1586
dual feasibility before updates:  1.577e-14
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1423
value of objective function after updates:  4.038e-05
rel. dual. gap value after updates: 0.0001242
  
   -  
iteration number:  15
cpu  time for operator LO:  0.15
 elapsed time for operator LO:  0.1603
dual feasibility before updates:  1.766e-14
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1417
value of objective function after updates:  2.478e-05
rel. dual. gap value after updates: 6.266e-05
  
   -  
iteration number:  16
cpu  time for operator LO:  0.1333
 elapsed time for operator LO:  0.1581
dual feasibility before updates:  8.405e-13
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1446
value of objective function after updates:  6.067e-06
rel. dual. gap value after updates: 2.577e-05
  
   -  
iteration number:  17
cpu  time for operator LO:  0.1333
 elapsed time for operator LO:  0.1604
dual feasibility before updates:  1.02e-12
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1934
value of objective function after updates:  4.388e-06
rel. dual. gap value after updates: 1.482e-05
  
   -  
iteration number:  18
cpu  time for operator LO:  0.15
 elapsed time for operator LO:  0.2212
dual feasibility before updates:  5.421e-13
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1832
value of objective function after updates:  1.607e-06
rel. dual. gap value after updates: 5.322e-06
  
   -  
iteration number:  19
cpu  time for operator LO:  0.15
 elapsed time for operator LO:  0.2381
dual feasibility before updates:  1.802e-13
cpu time for system solve:  0.1333
 elapsed time for system solve: 0.142
value of objective function after updates:  1.025e-06
rel. dual. gap value after updates: 3.083e-06
  
   -  
iteration number:  20
cpu  time for operator LO:  0.1333
 elapsed time for operator LO:  0.16
dual feasibility before updates:  2.085e-13
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1421
value of objective function after updates:  3.212e-07
rel. dual. gap value after updates: 1.33e-06
  
  
optimal P and optimal dual L found
value of objective function is:  3.212e-07
  
   
 ----------------------------- 
Start of new approximate completion problem using dual-first-step
The dimension n is: 4
The number of nonzero elements in H is: 12
  
START of ALGORITHM: 
initial value of objective function is:  4
initial relative duality gap value:  3.2
  
   -  
iteration number:  1
cpu  time for operator LO:  0.06667
 elapsed time for operator LO:  0.08588
dual feasibility before updates:  0
using pseudoinverse for singular operator LO 
cpu time for system solve:  0.05
 elapsed time for system solve: 0.09639
value of objective function after updates:  1.414
rel. dual. gap value after updates: 2.276
  
   -  
iteration number:  2
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1224
dual feasibility before updates:  3.331e-16
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1207
value of objective function after updates:  0.3686
rel. dual. gap value after updates: 1.574
  
   -  
iteration number:  3
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1278
dual feasibility before updates:  8.931e-16
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1205
value of objective function after updates:  0.2263
rel. dual. gap value after updates: 1.034
  
   -  
iteration number:  4
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1264
dual feasibility before updates:  4.611e-16
cpu time for system solve:  0.08333
 elapsed time for system solve: 0.1401
value of objective function after updates:  0.07101
rel. dual. gap value after updates: 0.3392
  
   -  
iteration number:  5
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1255
dual feasibility before updates:  3.355e-16
cpu time for system solve:  0.1
 elapsed time for system solve: 0.12
value of objective function after updates:  0.01841
rel. dual. gap value after updates: 0.119
  
   -  
iteration number:  6
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1687
dual feasibility before updates:  5.786e-16
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1124
value of objective function after updates:  0.006582
rel. dual. gap value after updates: 0.02708
  
   -  
iteration number:  7
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1255
dual feasibility before updates:  9.965e-16
cpu time for system solve:  0.08333
 elapsed time for system solve: 0.1116
value of objective function after updates:  0.001216
rel. dual. gap value after updates: 0.01109
  
   -  
iteration number:  8
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1259
dual feasibility before updates:  4.648e-15
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1125
value of objective function after updates:  0.000914
rel. dual. gap value after updates: 0.005843
  
   -  
iteration number:  9
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.126
dual feasibility before updates:  2.506e-15
cpu time for system solve:  0.08333
 elapsed time for system solve: 0.1119
value of objective function after updates:  0.0005736
rel. dual. gap value after updates: 0.003471
  
   -  
iteration number:  10
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1267
dual feasibility before updates:  2.542e-15
cpu time for system solve:  0.08333
 elapsed time for system solve: 0.1123
value of objective function after updates:  0.0001816
rel. dual. gap value after updates: 0.0009058
  
   -  
iteration number:  11
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1267
dual feasibility before updates:  4.505e-15
cpu time for system solve:  0.08333
 elapsed time for system solve: 0.1101
value of objective function after updates:  4.381e-05
rel. dual. gap value after updates: 0.0002244
  
   -  
iteration number:  12
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1268
dual feasibility before updates:  4.907e-15
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1362
value of objective function after updates:  3.355e-05
rel. dual. gap value after updates: 0.0001287
  
   -  
iteration number:  13
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1266
dual feasibility before updates:  1.077e-13
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1099
value of objective function after updates:  5.507e-06
rel. dual. gap value after updates: 4.457e-05
  
   -  
iteration number:  14
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1288
dual feasibility before updates:  1.906e-13
cpu time for system solve:  0.08333
 elapsed time for system solve: 0.1113
value of objective function after updates:  3.893e-06
rel. dual. gap value after updates: 1.302e-05
  
   -  
iteration number:  15
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1319
dual feasibility before updates:  9.353e-14
cpu time for system solve:  0.08333
 elapsed time for system solve: 0.1102
value of objective function after updates:  5.199e-07
rel. dual. gap value after updates: 5.732e-06
  
  
optimal P and optimal dual L found
value of objective function is:  5.199e-07
  
   
 ----------------------------- 
Start of new approximate completion problem using dual-first-step
The dimension n is: 4
The number of nonzero elements in H is: 12
  
START of ALGORITHM: 
initial value of objective function is:  7.19
initial relative duality gap value:  3.065
  
   -  
iteration number:  1
cpu  time for operator LO:  0.06667
 elapsed time for operator LO:  0.08609
dual feasibility before updates:  0
cpu time for system solve:  0.06667
 elapsed time for system solve: 0.09264
value of objective function after updates:  3.097
rel. dual. gap value after updates: 2.061
  
   -  
iteration number:  2
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1297
dual feasibility before updates:  6.661e-16
cpu time for system solve:  0.1
 elapsed time for system solve: 0.137
value of objective function after updates:  0.8779
rel. dual. gap value after updates: 1.78
  
   -  
iteration number:  3
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1408
dual feasibility before updates:  2.635e-15
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1385
value of objective function after updates:  0.3672
rel. dual. gap value after updates: 0.7482
  
   -  
iteration number:  4
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1346
dual feasibility before updates:  6.094e-16
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1377
value of objective function after updates:  0.09804
rel. dual. gap value after updates: 0.2976
  
   -  
iteration number:  5
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1358
dual feasibility before updates:  1.785e-14
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1266
value of objective function after updates:  0.03418
rel. dual. gap value after updates: 0.1184
  
   -  
iteration number:  6
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1433
dual feasibility before updates:  1.228e-15
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1264
value of objective function after updates:  0.02237
rel. dual. gap value after updates: 0.07037
  
   -  
iteration number:  7
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1345
dual feasibility before updates:  1.605e-15
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1285
value of objective function after updates:  0.007546
rel. dual. gap value after updates: 0.02801
  
   -  
iteration number:  8
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.146
dual feasibility before updates:  1.914e-15
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1408
value of objective function after updates:  0.005071
rel. dual. gap value after updates: 0.01671
  
   -  
iteration number:  9
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.137
dual feasibility before updates:  2.845e-15
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1257
value of objective function after updates:  0.001795
rel. dual. gap value after updates: 0.006219
  
   -  
iteration number:  10
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1351
dual feasibility before updates:  3.87e-15
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1321
value of objective function after updates:  0.001168
rel. dual. gap value after updates: 0.0036
  
   -  
iteration number:  11
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1425
dual feasibility before updates:  1.354e-14
cpu time for system solve:  0.08333
 elapsed time for system solve: 0.1262
value of objective function after updates:  0.0003772
rel. dual. gap value after updates: 0.001486
  
   -  
iteration number:  12
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1357
dual feasibility before updates:  3.122e-15
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1257
value of objective function after updates:  0.0002619
rel. dual. gap value after updates: 0.0008845
  
   -  
iteration number:  13
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1356
dual feasibility before updates:  6.804e-15
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1259
value of objective function after updates:  9.595e-05
rel. dual. gap value after updates: 0.0003175
  
   -  
iteration number:  14
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1378
dual feasibility before updates:  1.554e-14
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1272
value of objective function after updates:  6.119e-05
rel. dual. gap value after updates: 0.0001828
  
   -  
iteration number:  15
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1394
dual feasibility before updates:  8.549e-14
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.127
value of objective function after updates:  1.899e-05
rel. dual. gap value after updates: 7.932e-05
  
   -  
iteration number:  16
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1342
dual feasibility before updates:  5.149e-14
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1254
value of objective function after updates:  1.364e-05
rel. dual. gap value after updates: 4.679e-05
  
   -  
iteration number:  17
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1343
dual feasibility before updates:  2.267e-14
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1261
value of objective function after updates:  5.109e-06
rel. dual. gap value after updates: 1.701e-05
  
   -  
iteration number:  18
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1362
dual feasibility before updates:  5.043e-14
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1253
value of objective function after updates:  1.839e-06
rel. dual. gap value after updates: 6.106e-06
  
   -  
iteration number:  19
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1366
dual feasibility before updates:  3.139e-13
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1255
value of objective function after updates:  1.175e-06
rel. dual. gap value after updates: 3.318e-06
  
   -  
iteration number:  20
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1347
dual feasibility before updates:  3.541e-13
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1265
value of objective function after updates:  3.376e-07
rel. dual. gap value after updates: 1.477e-06
  
  
optimal P and optimal dual L found
value of objective function is:  3.376e-07
  
   
 ----------------------------- 
Start of new approximate completion problem using dual-first-step
The dimension n is: 4
The number of nonzero elements in H is: 12
  
START of ALGORITHM: 
initial value of objective function is:  5.236
initial relative duality gap value:  3.147
  
   -  
iteration number:  1
cpu  time for operator LO:  0.06667
 elapsed time for operator LO:  0.09386
dual feasibility before updates:  0
cpu time for system solve:  0.06667
 elapsed time for system solve: 0.09067
value of objective function after updates:  3.255
rel. dual. gap value after updates: 2.823
  
   -  
iteration number:  2
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1365
dual feasibility before updates:  4.441e-16
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1369
value of objective function after updates:  1.233
rel. dual. gap value after updates: 1.875
  
   -  
iteration number:  3
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.134
dual feasibility before updates:  5.313e-16
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1368
value of objective function after updates:  0.3308
rel. dual. gap value after updates: 1.291
  
   -  
iteration number:  4
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1368
dual feasibility before updates:  7.308e-16
cpu time for system solve:  0.15
 elapsed time for system solve: 0.1624
value of objective function after updates:  0.217
rel. dual. gap value after updates: 0.831
  
   -  
iteration number:  5
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1356
dual feasibility before updates:  4.595e-16
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1479
value of objective function after updates:  0.06597
rel. dual. gap value after updates: 0.3127
  
   -  
iteration number:  6
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1332
dual feasibility before updates:  4.63e-16
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.153
value of objective function after updates:  0.03899
rel. dual. gap value after updates: 0.1923
  
   -  
iteration number:  7
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1359
dual feasibility before updates:  3.835e-16
cpu time for system solve:  0.15
 elapsed time for system solve: 0.1647
value of objective function after updates:  0.01104
rel. dual. gap value after updates: 0.06262
  
   -  
iteration number:  8
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1371
dual feasibility before updates:  1.816e-15
cpu time for system solve:  0.1333
 elapsed time for system solve: 0.1514
value of objective function after updates:  0.00675
rel. dual. gap value after updates: 0.03646
  
   -  
iteration number:  9
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1371
dual feasibility before updates:  9.485e-16
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1373
value of objective function after updates:  0.001925
rel. dual. gap value after updates: 0.01007
  
   -  
iteration number:  10
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1352
dual feasibility before updates:  1.985e-15
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1374
value of objective function after updates:  0.001486
rel. dual. gap value after updates: 0.006823
  
   -  
iteration number:  11
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1356
dual feasibility before updates:  1.875e-15
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1281
value of objective function after updates:  0.0008
rel. dual. gap value after updates: 0.00413
  
   -  
iteration number:  12
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.136
dual feasibility before updates:  4.133e-15
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1269
value of objective function after updates:  0.0002053
rel. dual. gap value after updates: 0.00133
  
   -  
iteration number:  13
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1354
dual feasibility before updates:  9.237e-15
cpu time for system solve:  0.15
 elapsed time for system solve: 0.1642
value of objective function after updates:  0.0001299
rel. dual. gap value after updates: 0.0006968
  
   -  
iteration number:  14
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1339
dual feasibility before updates:  7.579e-15
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1312
value of objective function after updates:  3.489e-05
rel. dual. gap value after updates: 0.000205
  
   -  
iteration number:  15
cpu  time for operator LO:  0.1333
 elapsed time for operator LO:  0.2212
dual feasibility before updates:  1.979e-14
cpu time for system solve:  0.1333
 elapsed time for system solve: 0.3156
value of objective function after updates:  2.75e-05
rel. dual. gap value after updates: 0.0001489
  
   -  
iteration number:  16
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1362
dual feasibility before updates:  1.423e-14
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1377
value of objective function after updates:  1.591e-05
rel. dual. gap value after updates: 9.225e-05
  
   -  
iteration number:  17
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1424
dual feasibility before updates:  9.679e-15
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1256
value of objective function after updates:  4.752e-06
rel. dual. gap value after updates: 2.566e-05
  
   -  
iteration number:  18
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1349
dual feasibility before updates:  2.014e-14
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1382
value of objective function after updates:  2.744e-06
rel. dual. gap value after updates: 1.484e-05
  
   -  
iteration number:  19
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1362
dual feasibility before updates:  1.2e-13
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1274
value of objective function after updates:  7.427e-07
rel. dual. gap value after updates: 4.084e-06
  
  
optimal P and optimal dual L found
value of objective function is:  7.427e-07
  
   
 ----------------------------- 
Start of new approximate completion problem using dual-first-step
The dimension n is: 4
The number of nonzero elements in H is: 12
  
START of ALGORITHM: 
initial value of objective function is:  5.236
initial relative duality gap value:  3.147
  
   -  
iteration number:  1
cpu  time for operator LO:  0.06667
 elapsed time for operator LO:  0.0892
dual feasibility before updates:  0
cpu time for system solve:  0.05
 elapsed time for system solve: 0.08987
value of objective function after updates:  3.255
rel. dual. gap value after updates: 2.823
  
   -  
iteration number:  2
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1306
dual feasibility before updates:  4.441e-16
cpu time for system solve:  0.1
 elapsed time for system solve: 0.136
value of objective function after updates:  1.233
rel. dual. gap value after updates: 1.875
  
   -  
iteration number:  3
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1344
dual feasibility before updates:  5.313e-16
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1374
value of objective function after updates:  0.3308
rel. dual. gap value after updates: 1.291
  
   -  
iteration number:  4
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1345
dual feasibility before updates:  7.308e-16
cpu time for system solve:  0.1333
 elapsed time for system solve: 0.1632
value of objective function after updates:  0.217
rel. dual. gap value after updates: 0.831
  
   -  
iteration number:  5
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1343
dual feasibility before updates:  4.595e-16
cpu time for system solve:  0.1333
 elapsed time for system solve: 0.138
value of objective function after updates:  0.06597
rel. dual. gap value after updates: 0.3127
  
   -  
iteration number:  6
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1374
dual feasibility before updates:  4.63e-16
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1531
value of objective function after updates:  0.03899
rel. dual. gap value after updates: 0.1923
  
   -  
iteration number:  7
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1375
dual feasibility before updates:  3.835e-16
cpu time for system solve:  0.15
 elapsed time for system solve: 0.1652
value of objective function after updates:  0.01104
rel. dual. gap value after updates: 0.06262
  
   -  
iteration number:  8
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.137
dual feasibility before updates:  1.816e-15
cpu time for system solve:  0.1333
 elapsed time for system solve: 0.1511
value of objective function after updates:  0.00675
rel. dual. gap value after updates: 0.03646
  
   -  
iteration number:  9
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1514
dual feasibility before updates:  9.485e-16
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1438
value of objective function after updates:  0.001925
rel. dual. gap value after updates: 0.01007
  
   -  
iteration number:  10
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1368
dual feasibility before updates:  1.985e-15
cpu time for system solve:  0.1
 elapsed time for system solve: 0.139
value of objective function after updates:  0.001486
rel. dual. gap value after updates: 0.006823
  
   -  
iteration number:  11
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1357
dual feasibility before updates:  1.875e-15
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1349
value of objective function after updates:  0.0008
rel. dual. gap value after updates: 0.00413
  
   -  
iteration number:  12
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.135
dual feasibility before updates:  4.133e-15
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1259
value of objective function after updates:  0.0002053
rel. dual. gap value after updates: 0.00133
  
   -  
iteration number:  13
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1372
dual feasibility before updates:  9.237e-15
cpu time for system solve:  0.15
 elapsed time for system solve: 0.1695
value of objective function after updates:  0.0001299
rel. dual. gap value after updates: 0.0006968
  
   -  
iteration number:  14
cpu  time for operator LO:  0.1333
 elapsed time for operator LO:  0.137
dual feasibility before updates:  7.579e-15
cpu time for system solve:  0.1
 elapsed time for system solve: 0.126
value of objective function after updates:  3.489e-05
rel. dual. gap value after updates: 0.000205
  
   -  
iteration number:  15
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1342
dual feasibility before updates:  1.979e-14
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1384
value of objective function after updates:  2.75e-05
rel. dual. gap value after updates: 0.0001489
  
   -  
iteration number:  16
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1361
dual feasibility before updates:  1.423e-14
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1375
value of objective function after updates:  1.591e-05
rel. dual. gap value after updates: 9.225e-05
  
   -  
iteration number:  17
cpu  time for operator LO:  0.1167
 elapsed time for operator LO:  0.1385
dual feasibility before updates:  9.679e-15
cpu time for system solve:  0.1167
 elapsed time for system solve: 0.1272
value of objective function after updates:  4.752e-06
rel. dual. gap value after updates: 2.566e-05
  
   -  
iteration number:  18
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1342
dual feasibility before updates:  2.014e-14
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1507
value of objective function after updates:  2.744e-06
rel. dual. gap value after updates: 1.484e-05
  
   -  
iteration number:  19
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1372
dual feasibility before updates:  1.2e-13
cpu time for system solve:  0.1
 elapsed time for system solve: 0.1289
value of objective function after updates:  7.427e-07
rel. dual. gap value after updates: 4.084e-06
  
  
optimal P and optimal dual L found
value of objective function is:  7.427e-07
  
   
 ----------------------------- 
Start of new approximate completion problem using dual-first-step
The dimension n is: 5
The number of nonzero elements in H is: 19
  
START of ALGORITHM: 
initial value of objective function is:  10.82
initial relative duality gap value:  3.075
  
   -  
iteration number:  1
cpu  time for operator LO:  0.1
 elapsed time for operator LO:  0.1268
dual feasibility before updates:  0
cpu time for system solve:  0.06667
 elapsed time for system solve: 0.1049
value of objective function after updates:  4.612
rel. dual. gap value after updates: 2.259
  
   -  
iteration number:  2
cpu  time for operator LO:  0.2167
 elapsed time for operator LO:  0.2323
dual feasibility before updates:  1.157e-15
cpu time for system solve:  0.2
 elapsed time for system solve: 0.233
value of objective function after updates:  1.458
rel. dual. gap value after updates: 2.12
  
   -  
iteration number:  3
cpu  time for operator LO:  0.2167
 elapsed time for operator LO:  0.2604
dual feasibility before updates:  9.034e-16
cpu time for system solve:  0.2333
 elapsed time for system solve: 0.2648
value of objective function after updates:  0.993
rel. dual. gap value after updates: 1.655
  
   -  
iteration number:  4
cpu  time for operator LO:  0.2333
 elapsed time for operator LO:  0.258
dual feasibility before updates:  7.121e-16
cpu time for system solve:  0.2
 elapsed time for system solve: 0.2238
value of objective function after updates:  0.4136
rel. dual. gap value after updates: 0.8196
  
   -  
iteration number:  5
cpu  time for operator LO:  0.2333
 elapsed time for operator LO:  0.259
dual feasibility before updates:  6.331e-16
cpu time for system solve:  0.1833
 elapsed time for system solve: 0.2071
value of objective function after updates:  0.1744
rel. dual. gap value after updates: 0.3834
  
   -  
iteration number:  6
cpu  time for operator LO:  0.2333
 elapsed time for operator LO:  0.2579
dual feasibility before updates:  1.369e-15
cpu time for system solve:  0.1833
 elapsed time for system solve: 0.2083
value of objective function after updates:  0.1296
rel. dual. gap value after updates: 0.2518
  
   -  
iteration number:  7
cpu  time for operator LO:  0.25
 elapsed time for operator LO:  0.2607
dual feasibility before updates:  5.888e-16
cpu time for system solve:  0.1833
 elapsed time for system solve: 0.2073
value of objective function after updates:  0.07029
rel. dual. gap value after updates: 0.09846
  
   -  
iteration number:  8
cpu  time for operator LO:  0.25
 elapsed time for operator LO:  0.2615
dual feasibility before updates:  1.036e-15
cpu time for system solve:  0.1833
 elapsed time for system solve: 0.2069
value of objective function after updates:  0.04471
rel. dual. gap value after updates: 0.03804
  
   -  
iteration number:  9
cpu  time for operator LO:  0.2333
 elapsed time for operator LO:  0.2611
dual feasibility before updates:  2.515e-15
cpu time for system solve:  0.1667
 elapsed time for system solve: 0.2095
value of objective function after updates:  0.03909
rel. dual. gap value after updates: 0.02116
  
   -  
iteration number:  10
cpu  time for operator LO:  0.2333
 elapsed time for operator LO:  0.2572
dual feasibility before updates:  1.385e-13
cpu time for system solve:  0.1833
 elapsed time for system solve: 0.206
value of objective function after updates:  0.03062
rel. dual. gap value after updates: 0.008794
  
   -  
iteration number:  11
cpu  time for operator LO:  0.2333
 elapsed time for operator LO:  0.257
dual feasibility before updates:  4.794e-14
cpu time for system solve:  0.1833
 elapsed time for system solve: 0.2051
value of objective function after updates:  0.02805
rel. dual. gap value after updates: 0.003387
  
   -  
iteration number:  12
cpu  time for operator LO:  0.2333
 elapsed time for operator LO:  0.2621
dual feasibility before updates:  2.36e-15
cpu time for system solve:  0.1833
 elapsed time for system solve: 0.2568
value of objective function after updates:  0.02748
rel. dual. gap value after updates: 0.002227
  
   -  
iteration number:  13
cpu  time for operator LO:  0.2333
 elapsed time for operator LO:  0.2588
dual feasibility before updates:  6.445e-15
cpu time for system solve:  0.2
 elapsed time for system solve: 0.2169
value of objective function after updates:  0.02667
rel. dual. gap value after updates: 0.0009955
  
   -  
iteration number:  14
cpu  time for operator LO:  0.2167
 elapsed time for operator LO:  0.2574
dual feasibility before updates:  8.489e-15
cpu time for system solve:  0.1833
 elapsed time for system solve: 0.2049
value of objective function after updates:  0.02654
rel. dual. gap value after updates: 0.0006535
  
   -  
iteration number:  15
cpu  time for operator LO:  0.2333
 elapsed time for operator LO:  0.2603
dual feasibility before updates:  3.565e-15
cpu time for system solve:  0.1833
 elapsed time for system solve: 0.2071
value of objective function after updates:  0.02633
rel. dual. gap value after updates: 0.000262
  
   -  
iteration number:  16
cpu  time for operator LO:  0.25
 elapsed time for operator LO:  0.2686
dual feasibility before updates:  4.834e-15
cpu time for system solve:  0.1833
 elapsed time for system solve: 0.2102
value of objective function after updates:  0.02629
rel. dual. gap value after updates: 0.0001791
  
   -  
iteration number:  17
cpu  time for operator LO:  0.2167
 elapsed time for operator LO:  0.2544
dual feasibility before updates:  1.566e-15
cpu time for system solve:  0.1833
 elapsed time for system solve: 0.2072
value of objective function after updates:  0.02623
rel. dual. gap value after updates: 7.59e-05
  
   -  
iteration number:  18
cpu  time for operator LO:  0.2333
 elapsed time for operator LO:  0.2703
dual feasibility before updates:  4.083e-15
cpu time for system solve:  0.1667
 elapsed time for system solve: 0.2053
value of objective function after updates:  0.02622
rel. dual. gap value after updates: 5.167e-05
  
   -  
iteration number:  19
cpu  time for operator LO:  0.2333
 elapsed time for operator LO:  0.2584
dual feasibility before updates:  2.222e-15
cpu time for system solve:  0.1667
 elapsed time for system solve: 0.2134
value of objective function after updates:  0.0262
rel. dual. gap value after updates: 2.094e-05
  
   -  
iteration number:  20
cpu  time for operator LO:  0.2333
 elapsed time for operator LO:  0.2614
dual feasibility before updates:  2.306e-15
cpu time for system solve:  0.1833
 elapsed time for system solve: 0.2074
value of objective function after updates:  0.0262
rel. dual. gap value after updates: 8.189e-06
  
   -  
iteration number:  21
cpu  time for operator LO:  0.2333
 elapsed time for operator LO:  0.2631
dual feasibility before updates:  2.005e-15
cpu time for system solve:  0.2
 elapsed time for system solve: 0.3077
value of objective function after updates:  0.0262
rel. dual. gap value after updates: 5.123e-06
  
   -  
iteration number:  22
cpu  time for operator LO:  0.2833
 elapsed time for operator LO:  0.4486
dual feasibility before updates:  1.301e-14
cpu time for system solve:  0.1833
 elapsed time for system solve: 0.2213
value of objective function after updates:  0.02619
rel. dual. gap value after updates: 2.314e-06
  
   -  
iteration number:  23
cpu  time for operator LO:  0.2667
 elapsed time for operator LO:  0.3361
dual feasibility before updates:  7.246e-15
cpu time for system solve:  0.1833
 elapsed time for system solve: 0.2236
value of objective function after updates:  0.02619
rel. dual. gap value after updates: 1.524e-06
  
   -  
iteration number:  24
cpu  time for operator LO:  0.25
 elapsed time for operator LO:  0.2736
dual feasibility before updates:  4.078e-15
cpu time for system solve:  0.1833
 elapsed time for system solve: 0.2058
value of objective function after updates:  0.02619
rel. dual. gap value after updates: 6.047e-07
  
  
optimal P and optimal dual L found
value of objective function is:  0.02619
  

optvals =

    0.0000    0.0000    0.0000    0.0000    0.0000    0.0262

>> diary off
