Calling SDPT3: 49536 variables, 16385 equality constraints For improved efficiency, SDPT3 is solving the dual problem. ------------------------------------------------------------ num. of constraints = 16385 dim. of sdp var = 256, num. of sdp blk = 1 dim. of linear var = 16384 dim. of free var = 256 *** convert ublk to lblk ******************************************************************* SDPT3: Infeasible path-following algorithms ******************************************************************* version predcorr gam expon scale_data HKM 1 0.000 1 0 it pstep dstep pinfeas dinfeas gap mean(obj) cputime ------------------------------------------------------------------- 0|0.000|0.000|2.1e+04|3.0e+03|8.1e+08| 1.638399e+04| 0:3:49| spchol 1 1 1|0.817|0.811|3.9e+03|5.7e+02|2.0e+08| 3.009853e+04| 0:8:17| chol 1 1 2|0.953|0.971|1.8e+02|1.7e+01|5.9e+06| 3.037161e+04| 0:18:13| chol 1 1 3|0.993|0.986|1.3e+00|3.6e-01|1.9e+05| 2.922619e+04| 0:28:09| chol 1 1 4|0.878|0.833|1.6e-01|1.1e-01|5.1e+04| 1.467095e+04| 0:38:02| chol 1 1 5|1.000|0.292|1.0e-04|8.7e-02|1.6e+04| 4.532722e+03| 0:47:54| chol 1 1 6|0.923|0.700|9.3e-05|3.7e-02|6.3e+03| 1.504400e+03| 0:57:46| chol 1 1 7|1.000|0.977|5.4e-05|8.5e-03|4.2e+02| 5.643418e+01| 1:07:36| chol 1 1 8|1.000|0.659|8.2e-07|5.5e-03|1.6e+02| 4.243741e+01| 1:17:29| chol 1 1 9|1.000|0.570|6.2e-06|3.5e-03|5.6e+01| 1.596409e+01| 1:27:19| chol 1 1 10|0.201|0.343|4.7e-06|2.6e-03|4.7e+01| 1.404728e+01| 1:37:11| chol 1 1 11|1.000|0.190|1.3e-07|2.2e-03|2.9e+01| 6.936050e+00| 1:47:02| chol 1 1 12|0.408|0.424|9.5e-08|1.4e-03|2.3e+01| 6.529129e+00| 1:56:54| chol 1 1 13|0.559|0.186|4.8e-08|1.1e-03|2.1e+01| 5.713881e+00| 2:06:45| chol 1 1 14|0.645|0.362|1.9e-08|7.3e-04|1.5e+01| 4.270558e+00| 2:16:37| chol 1 1 15|0.641|0.216|7.3e-09|5.8e-04|1.2e+01| 3.409137e+00| 2:26:28| chol 1 1 16|0.716|0.256|2.4e-09|4.3e-04|8.8e+00| 2.131352e+00| 2:36:26| chol 1 1 17|0.779|0.245|3.4e-09|3.2e-04|6.8e+00| 1.400680e+00| 2:46:18| chol 1 1 18|0.647|0.298|2.7e-09|2.3e-04|5.0e+00| 7.268010e-01| 2:56:10| chol 1 1 19|0.570|0.213|3.2e-09|1.8e-04|4.2e+00| 4.442731e-01| 3:06:01| chol 1 1 20|0.487|0.234|2.6e-09|1.4e-04|3.4e+00| 1.449937e-01| 3:15:54| chol 1 1 21|0.489|0.172|3.3e-09|1.2e-04|3.0e+00|-2.270601e-02| 3:25:45| chol 1 1 22|0.426|0.332|2.6e-10|7.9e-05|2.6e+00|-1.867006e-01| 3:35:38| chol 1 1 23|0.581|0.144|1.5e-09|6.8e-05|2.2e+00|-3.203669e-01| 3:45:28| chol 1 1 24|0.419|0.261|6.5e-08|5.0e-05|1.8e+00|-4.779515e-01| 3:55:21| chol 1 1 25|0.632|0.137|1.6e-08|4.3e-05|1.6e+00|-5.797333e-01| 4:05:12| chol 2 1 26|0.510|0.262|6.6e-08|9.7e-05|1.3e+00|-6.989910e-01| 4:15:07| chol 1 1 27|0.524|0.837|3.1e-08|1.1e-04|1.1e+00|-7.362334e-01| 4:24:58| chol 1 1 28|0.584|0.794|1.3e-08|9.7e-05|9.7e-01|-7.871442e-01| 4:34:50| chol 1 1 29|0.778|0.829|2.9e-09|8.6e-05|6.9e-01|-9.066565e-01| 4:44:41| chol 1 1 30|0.610|0.802|1.1e-09|6.2e-05|5.8e-01|-9.568690e-01| 4:54:34| chol 1 1 31|0.691|0.822|3.5e-10|5.2e-05|4.3e-01|-1.018523e+00| 5:04:24| chol 1 1 32|0.694|0.802|1.1e-10|3.9e-05|3.5e-01|-1.057157e+00| 5:14:17| chol 1 1 33|0.650|0.816|4.6e-11|3.1e-05|2.4e-01|-1.099083e+00| 5:24:08| chol 1 1 34|0.815|0.761|9.7e-12|2.3e-05|2.0e-01|-1.120646e+00| 5:34:00| chol 1 1 35|0.730|0.736|1.5e-10|1.9e-05|1.2e-01|-1.155564e+00| 5:43:51| chol 1 1 36|0.862|0.564|2.1e-11|1.1e-05|9.4e-02|-1.165861e+00| 5:53:44| chol 1 2 37|0.855|0.452|2.7e-11|9.3e-06|5.0e-02|-1.186325e+00| 6:03:37| chol 1 1 38|0.906|0.325|7.2e-11|5.2e-06|3.6e-02|-1.192224e+00| 6:13:30| chol 2 1 39|0.862|0.514|1.3e-10|3.7e-06|2.0e-02|-1.198926e+00| 6:23:23| chol 1 1 40|0.862|0.580|7.1e-11|2.0e-06|1.4e-02|-1.200779e+00| 6:33:16| chol 2 1 41|0.740|0.649|1.1e-10|1.4e-06|8.1e-03|-1.203217e+00| 6:43:09| chol 2 2 42|0.994|0.575|3.3e-11|8.1e-07|6.0e-03|-1.204089e+00| 6:53:07| chol 2 2 43|0.762|0.801|1.1e-10|5.9e-07|2.9e-03|-1.205378e+00| 7:03:03| chol 2 2 44|1.000|0.731|5.3e-11|2.9e-07|2.1e-03|-1.205698e+00| 7:13:01| chol 2 2 45|0.939|0.808|2.4e-10|2.1e-07|7.9e-04|-1.206312e+00| 7:22:57| chol 2 2 46|1.000|0.736|1.3e-10|8.0e-08|5.2e-04|-1.206423e+00| 7:32:54| chol 2 2 47|1.000|0.520|4.2e-10|5.4e-08|1.9e-04|-1.206574e+00| 7:42:50| chol 3 3 48|1.000|0.328|5.0e-10|2.5e-08|1.2e-04|-1.206608e+00| 7:52:53| chol 4 4 49|0.155|0.029|4.5e-10|2.0e-08|1.2e-04|-1.206609e+00| 8:02:59| chol 4 4 stop: progress in duality gap has deteriorated, 1.5e-04 50|1.000|0.001|4.5e-10|2.0e-08|1.2e-04|-1.206609e+00| 8:13:06| ------------------------------------------------------------------- number of iterations = 50 primal objective value = -1.20655079e+00 dual objective value = -1.20666504e+00 gap := trace(XZ) = 1.16e-04 relative gap = 3.41e-05 actual relative gap = 3.35e-05 rel. primal infeas = 5.04e-10 rel. dual infeas = 2.52e-08 norm(X), norm(y), norm(Z) = 2.0e+01, 5.5e+00, 2.1e+01 norm(A), norm(b), norm(C) = 2.9e+02, 2.0e+00, 6.6e+00 Total CPU time (secs) = 29586.4 CPU time per iteration = 591.7 termination code = -8 DIMACS: 5.0e-10 0.0e+00 9.7e-08 0.0e+00 3.3e-05 3.4e-05 ------------------------------------------------------------------- ------------------------------------------------------------ Status: Inaccurate/Solved Optimal value (cvx_optval): +1.20667 Elapsed time is 29596.231901 seconds.