Standard Output

The progress of the DSDP solver can be monitored using standard output printed to the screen. The following is an example output from a small random problem.

Iter   P Objective       D Objective     DInfeas     Mu     StepLength   Pnrm
-----------------------------------------------------------------------------
0     1.00000000e+02   -1.13743137e+05   3.8e+02   1.1e+05  0.00  0.00   0.00 
1     1.36503342e+06   -6.65779055e+04   2.2e+02   1.1e+04  1.00  0.33   4.06 
2     1.36631922e+05   -6.21604409e+03   1.9e+01   4.5e+02  1.00  1.00   7.85 
3     5.45799174e+03   -3.18292092e+03   9.1e+00   7.5e+01  1.00  1.00  17.63 
4     1.02930559e+03   -5.39166166e+02   5.3e-01   2.7e+01  1.00  1.00   7.58 
5     4.30074471e+02   -3.02460061e+01   0.0e+00   5.6e+00  1.00  1.00  11.36 
...
18    8.99999824e+00    8.99999617e+00   0.0e+00   1.7e-08  1.00  1.00   7.03 
19    8.99999668e+00    8.99999629e+00   0.0e+00   3.4e-09  1.00  1.00  14.19

The program will print a variety of statistics for each problem to the screen.

• [Iter] the current iteration number,
• [P Objective] the current objective value in (PP),
• [D Objective] the current objective value in (DD),
• [DInfeas] the variable $r$ in (DD) that corresponds to the infeasibility of $y$ and $S$ in (D).
• [Mu] the current barrier parameter $\frac{\bar{z} - b^Ty}{\rho}$. This parameter decreases to zero as the points get closer to the solution,
• [StepLength] the multiple of the step-directions in (PP) and (DD),
• [Pnrm] the proximity to a point on the central path: $\sqrt{-\nabla \psi^T(y^k,\bar{z}^k ) \Delta y}$.