How to use SDPARA

[Copyright (C) 2004 SDPA Project]

Here we explain the executable binary of the SDPARA shortly. 
The usage of the SDPARA is quite similar to the stand-alone 
use of the SDPA. Basically, instead of the command "./sdpa",
type "mpirun -np number_of_processors ./sdpara". 
Refer to "sdpa.x.x.x.manual.pdf" for more details on the SDPA.
The SDPARA reads SDPA format files. If you want to solve
example1.dat-s (SDPA sparse format), type

$ mpirun -np 4 ./sdpara example1.dat-s example1.result

Here "mpirun" is the command to execute the MPI program, 
"-np 4" indicates that we use 4 processors, "./sdpara" 
is the name of the SDPARA executable binary, "example1.dat-s" 
is the input file to solve, and "example1.result" is an 
output file which contains the solutions and other information.
Note:: Assign at least one input file and one output file. 
You will see the following messages.

SDPARA start ... (start at Nov  2 2002 21:56:01)
let me see your ...
data      is example1.dat-s : sparse
parameter is ./param.sdpa
out       is example1.result

   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 2.00e-01
 1 1.6e+03 5.8e-17 9.4e-02 +8.39e+02 +7.51e+01 2.3e+00 9.6e-01 2.00e-01
 2 1.7e+02 1.9e-16 3.6e-03 +1.96e+02 -3.74e+01 1.3e+00 1.0e+00 2.00e-01
 3 1.8e+01 1.4e-16 7.5e-18 -6.84e+00 -4.19e+01 9.9e-01 9.0e+01 1.00e-01
 4 1.9e+00 1.4e-16 3.0e-16 -3.81e+01 -4.19e+01 1.0e-00 9.0e+01 1.00e-01
 5 1.9e-01 1.3e-16 4.0e-16 -4.15e+01 -4.19e+01 1.0e-00 9.0e+01 1.00e-01
 6 1.9e-02 1.3e-16 7.5e-16 -4.19e+01 -4.19e+01 1.0e-00 1.0e-00 1.00e-01
 7 1.9e-03 1.3e-16 7.3e-16 -4.19e+01 -4.19e+01 1.0e-00 1.0e-00 1.00e-01
 8 1.9e-04 1.4e-16 7.2e-16 -4.19e+01 -4.19e+01 1.0e-00 1.0e-00 1.00e-01
 9 1.9e-05 1.3e-16 7.2e-16 -4.19e+01 -4.19e+01 1.0e+00 9.0e+01 1.00e-01
10 1.9e-06 1.2e-16 2.2e-15 -4.19e+01 -4.19e+01 1.0e+00 9.0e+01 1.00e-01

phase.value = pdOPT     
   Iteration = 10
          mu = 1.9180668442023578e-06
relative gap = 9.1554433506083362e-08
         gap = 3.8361336884047155e-06
      digits = 7.0383206202251243e+00
objValPrimal = -4.1899996163866419e+01
objValDual   = -4.1899999999997007e+01
p.feas.error = 1.5099033134902129e-14
d.feas.error = 2.1245227799226996e-12
file read time = 0.000678
main loop time = 0.121209
total     time = 0.122700

"phase.value = pdOPT" indicates that the SDPARA 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 SDPARA needs to solve example1.dat-s. Notice that the 
time reported by the SDPARA is the real time, and not the user 
time.