[Csdp] SDP is dual infeasible

[Hui Wu]

Hi Guys, I am using csdp's matlab interface for the following sdp problem,
which is described in the attachment. While I run the script, I get

*>>[x, y, z] = genSample();*
*Number of constraints: 6 *
*Number of SDP blocks: 1 *
*Number of LP vars: 0 *
*C block 1, blocksize, 6*
*Checking constraint 1 *
*Checking constraint 2 *
*Checking constraint 3 *
*Checking constraint 4 *
*Checking constraint 5 *
*Checking constraint 6 *
*Iter:  0 Ap: 0.00e+00 Pobj:  0.0000000e+00 Ad: 0.00e+00 Dobj:
 0.0000000e+00 *
*Iter:  1 Ap: 1.00e+00 Pobj:  2.4901133e+04 Ad: 6.77e-01 Dobj:
 3.0972415e+03 *
*Iter:  2 Ap: 1.00e+00 Pobj:  1.7734229e+05 Ad: 5.18e-01 Dobj:
 1.6715331e+02 *
*Iter:  3 Ap: 2.10e-02 Pobj:  9.3394935e+05 Ad: 2.66e-02 Dobj:
 1.2916856e+03 *
*Iter:  4 Ap: 1.00e+00 Pobj:  5.7585163e+07 Ad: 1.05e-01 Dobj:
 1.0092369e+03 *
*Iter:  5 Ap: 2.82e-03 Pobj:  5.3050644e+08 Ad: 2.97e-03 Dobj:
 8.2813968e+02 *
*Iter:  6 Ap: 1.29e-03 Pobj:  2.8396651e+09 Ad: 2.90e-03 Dobj:
 9.6682104e+02 *
*Declaring dual infeasibility.*
*Success: SDP is dual infeasible*
*Certificate of dual infeasibility: tr(CX)=1.00000e+00,
||A(X)||=4.91757e-09*
*Elements time: 0.000010 *
*Factor time: 0.000045 *
*Other time: 0.000882 *
*Total time: 0.000937 *

Can some body help tell me why my SDP is dual infeasible ? Is it because
there is something wrong with my problem setting or it is normal to my SDP?
Thanks

Hui
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