why the optimal value is always NaN ?
MOSEK Version 9.1.9 (Build date: 2019-11-21 11:34:40)
Copyright © MOSEK ApS, Denmark. WWW: mosek.com
Platform: Windows/64-X86
Problem
Name :
Objective sense : min
Type : CONIC (conic optimization problem)
Constraints : 75
Cones : 39
Scalar variables : 177
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 0
Eliminator terminated.
Eliminator - tries : 1 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Problem
Name :
Objective sense : min
Type : CONIC (conic optimization problem)
Constraints : 75
Cones : 39
Scalar variables : 177
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 18
Optimizer - Cones : 39
Optimizer - Scalar variables : 138 conic : 114
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.00 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.00
Factor - nonzeros before factor : 27 after factor : 27
Factor - dense dim. : 0 flops : 3.15e+02
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.2e+00 5.0e+02 2.8e+01 0.00e+00 2.553741975e+01 -1.350000015e+00 1.0e+00 0.03
1 4.0e-01 9.1e+01 1.2e+01 -9.94e-01 1.415848992e+01 -7.992667921e+00 1.8e-01 0.09
2 1.2e-01 2.7e+01 6.1e+00 -9.66e-01 -1.688396542e+01 -2.611644318e+01 5.4e-02 0.11
3 6.8e-02 1.6e+01 3.2e+00 -5.17e-01 -2.591111548e+01 -3.092358984e+01 3.1e-02 0.11
4 2.6e-02 6.0e+00 1.7e+00 -3.88e-01 -7.892221037e+01 -7.017910763e+01 1.2e-02 0.11
5 6.7e-03 1.5e+00 8.6e-01 -8.36e-01 -3.751429082e+02 -2.899513460e+02 3.0e-03 0.11
6 1.3e-03 2.9e-01 3.6e-01 -9.47e-01 -1.939044631e+03 -1.442007644e+03 5.7e-04 0.11
7 3.8e-04 8.6e-02 2.0e-01 -9.85e-01 -6.303999400e+03 -4.656656520e+03 1.7e-04 0.11
8 1.2e-04 2.7e-02 1.1e-01 -9.75e-01 -1.947436172e+04 -1.433976419e+04 5.4e-05 0.11
9 3.2e-05 7.2e-03 5.4e-02 -9.72e-01 -6.952112247e+04 -5.135304336e+04 1.4e-05 0.11
10 1.1e-05 2.6e-03 3.1e-02 -9.22e-01 -1.831526780e+05 -1.361687450e+05 5.1e-06 0.13
11 4.3e-06 9.8e-04 1.8e-02 -8.84e-01 -4.279181543e+05 -3.226208816e+05 2.0e-06 0.13
12 2.1e-06 4.7e-04 1.2e-02 -8.34e-01 -8.768447990e+05 -6.666208344e+05 9.4e-07 0.13
13 7.9e-07 1.8e-04 6.1e-03 -7.67e-01 -1.706047983e+06 -1.339533779e+06 3.6e-07 0.13
14 3.4e-07 7.8e-05 3.1e-03 -4.81e-01 -2.774305897e+06 -2.272022888e+06 1.6e-07 0.13
15 1.1e-07 2.6e-05 1.0e-03 -2.76e-01 -4.072120029e+06 -3.537094970e+06 5.1e-08 0.13
16 5.0e-08 1.1e-05 4.0e-04 1.56e-01 -4.082679284e+06 -3.688924963e+06 2.3e-08 0.14
17 1.5e-08 6.3e-06 6.1e-05 6.93e-01 -1.905090797e+06 -1.805622283e+06 6.9e-09 0.14
18 2.3e-09 4.4e-06 3.3e-06 1.02e+00 -3.302851908e+05 -3.176185419e+05 1.1e-09 0.14
19 1.1e-10 2.1e-07 3.4e-08 1.02e+00 -1.508857271e+04 -1.448875034e+04 5.0e-11 0.14
20 2.9e-11 5.6e-08 4.9e-09 1.00e+00 -3.850415138e+03 -3.681935453e+03 1.3e-11 0.16
21 8.9e-13 1.7e-09 2.5e-11 1.00e+00 -1.245584663e+02 -1.195226330e+02 4.0e-13 0.16
22 1.0e-13 1.4e-10 6.4e-13 1.00e+00 -1.791643172e+01 -1.748537602e+01 3.5e-14 0.16
23 1.7e-14 2.5e-11 4.5e-14 1.01e+00 -8.193939674e+00 -8.119829557e+00 5.9e-15 0.16
24 1.3e-14 2.4e-11 4.6e-14 1.05e+00 -8.179348704e+00 -8.105680293e+00 5.9e-15 0.16
25 1.3e-14 2.4e-11 4.4e-14 9.36e-01 -8.175928634e+00 -8.102364997e+00 5.9e-15 0.16
26 1.3e-14 2.4e-11 4.4e-14 1.06e+00 -8.174097292e+00 -8.100589068e+00 5.9e-15 0.16
27 1.3e-14 2.4e-11 4.6e-14 1.00e+00 -8.173231715e+00 -8.099749863e+00 5.9e-15 0.16
28 1.3e-14 2.4e-11 4.5e-14 9.99e-01 -8.172799019e+00 -8.099330312e+00 5.9e-15 0.17
29 1.3e-14 2.4e-11 4.5e-14 1.05e+00 -8.158323169e+00 -8.085292671e+00 5.8e-15 0.17
30 1.3e-14 2.4e-11 4.4e-14 1.05e+00 -8.156513039e+00 -8.083537353e+00 5.8e-15 0.17
31 1.3e-14 2.4e-11 4.5e-14 1.04e+00 -8.152939731e+00 -8.080072387e+00 5.8e-15 0.17
32 1.3e-14 2.4e-11 4.6e-14 9.99e-01 -8.151223545e+00 -8.078408427e+00 5.8e-15 0.17
33 1.3e-14 2.4e-11 4.5e-14 1.00e+00 -8.150794325e+00 -8.077992262e+00 5.8e-15 0.17
34 1.3e-14 2.4e-11 4.5e-14 9.99e-01 -8.150794325e+00 -8.077992262e+00 5.8e-15 0.19
35 1.3e-14 2.4e-11 4.5e-14 9.97e-01 -8.150794325e+00 -8.077992262e+00 5.8e-15 0.19
36 1.2e-14 2.3e-11 4.3e-14 1.02e+00 -8.088724739e+00 -8.017864889e+00 5.7e-15 0.19
37 1.2e-14 2.3e-11 4.0e-14 1.02e+00 -8.058402227e+00 -7.988490351e+00 5.6e-15 0.19
38 1.2e-14 2.3e-11 3.9e-14 1.02e+00 -8.054654830e+00 -7.984860032e+00 5.6e-15 0.19
39 1.2e-14 2.3e-11 4.0e-14 1.02e+00 -8.039688817e+00 -7.970361684e+00 5.5e-15 0.20
40 1.2e-14 2.3e-11 4.0e-14 1.02e+00 -8.039688817e+00 -7.970361684e+00 5.5e-15 0.20
41 1.2e-14 2.3e-11 4.0e-14 1.02e+00 -8.039688817e+00 -7.970361684e+00 5.5e-15 0.20
Optimizer terminated. Time: 0.25
Interior-point solution summary
Problem status : ILL_POSED
Solution status : PRIMAL_ILLPOSED_CER
Dual. obj: -1.8385096038e-06 nrm: 4e+01 Viol. con: 0e+00 var: 8e-07 cones: 0e+00
Optimizer summary
Optimizer - time: 0.25
Interior-point - iterations : 42 time: 0.20
Basis identification - time: 0.00
Primal - iterations : 0 time: 0.00
Dual - iterations : 0 time: 0.00
Clean primal - iterations : 0 time: 0.00
Clean dual - iterations : 0 time: 0.00
Simplex - time: 0.00
Primal simplex - iterations : 0 time: 0.00
Dual simplex - iterations : 0 time: 0.00
Mixed integer - relaxations: 0 time: 0.00
Status: Failed
Optimal value (cvx_optval): NaN