How to use the SDPA-C

[Copyright (C) 2004 SDPA Project]

Here we explain the executable binary of the SDPA-C shortly. 
Refer to "sdpa-c.x.x.x.manual.pdf" for more details on the SDPA-C
and its C++ callable library.

The SDPA-C reads 'ONLY' SDPA format files, such as from the SDPLIB.  
If you want to solve example1.dat-s (SDPA sparse format), type

$ ./sdpa-c example1.dat-s example1.result

Here, "./sdpa-c" is the command, the name of the SDPA executable 
binary, "example1.result" is an output file which contains 
the solutions and other information, "example1.dat-s" is the
input file to solve.
Note:: Assign at least one input file and one output file.  
You will see the following messages.

SDPA-C start at    Fri Nov  5 10:01:14 2004
data      is example1.dat-s : sparse
parameter is ./param.sdpa
out       is r

aggregate sparsity pattern :                                 4 elements
extended sparsity pattern  :
        METIS4.0.1 (multilevel nested dissection)            4 elements
        Spooles2.2 (minimum degree)                          4 elements
        Spooles2.2 (generalized nested dissection)           4 elements
        Spooles2.2 (multisection)                            4 elements
        Spooles2.2 (best of ND and MS)                       4 elements
        Selecting ..... METIS4.0.1 (multilevel nested dissection)
dense matrix               :                                 4 elements
-----------------------------------------------------------------------
   mu      thetaP  thetaD  objP      objD      alphaP  alphaD  beta 
 0 1.0e+04 1.0e+00 1.0e+00 -0.00e+00 +1.20e+03 1.0e+00 9.1e-01 3.00e-01
 1 1.6e+03 2.9e-17 9.4e-02 +8.16e+02 +7.51e+01 5.6e+00 9.6e-01 3.00e-01
 2 2.1e+02 1.7e-16 3.6e-03 +2.59e+02 -3.74e+01 2.0e+00 1.0e+00 3.00e-01
 3 3.8e+01 1.4e-16 1.5e-17 +3.35e+01 -4.19e+01 9.7e-01 9.7e-01 1.00e-01
 4 4.8e+00 1.4e-16 1.5e-17 -3.22e+01 -4.19e+01 9.9e-01 9.0e+01 1.00e-01
 5 5.3e-01 1.1e-16 2.2e-15 -4.08e+01 -4.19e+01 1.0e-00 1.0e-00 1.00e-01
 6 5.3e-02 1.2e-16 3.7e-17 -4.18e+01 -4.19e+01 1.0e-00 9.0e+01 1.00e-01
 7 5.3e-03 1.3e-16 3.1e-15 -4.19e+01 -4.19e+01 1.0e-00 1.0e-00 1.00e-01
 8 5.3e-04 1.3e-16 2.2e-17 -4.19e+01 -4.19e+01 1.0e-00 9.0e+01 1.00e-01
 9 5.3e-05 1.1e-16 1.3e-15 -4.19e+01 -4.19e+01 1.0e-00 1.0e-00 1.00e-01
10 5.3e-06 1.1e-16 1.1e-17 -4.19e+01 -4.19e+01 1.0e-00 9.0e+01 1.00e-01
11 5.3e-07 1.1e-16 2.8e-16 -4.19e+01 -4.19e+01 1.0e-00 9.0e+01 1.00e-01

phase.value = pdOPT     
   Iteration = 11
          mu = 5.3127653470890612e-07
relative gap = 2.5359250719893238e-08
         gap = 1.0625530694178122e-06
      digits = 7.5958635825341174e+00
objValPrimal = -4.1899998937446952e+01
objValDual   = -4.1899999999999544e+01
p.feas.error = 1.3322676295501878e-14
d.feas.error = 2.7000623958883807e-13
total time   = 0.010
  main loop time = -0.000000
      total time = 0.010000
file   read time = 0.010000

"phase.value = pdOPT" indicates that the SDPA-C finds successfully
the primal and dual optimal solutions with the optimal primal 
objective function value "objValPrimal", and the optimal dual 
objective function value "objValDual". "total time" displays how 
long the SDPA-C needs to solve example1.dat-s.