Hi
I'm a beginner with yalmip,solve the bilinear matrix inequalities.The obtained result is not what I want.
the result as follow
diagnostics =

yalmiptime: 0.1090
solvertime: 0.0470
info: 'No problems detected (PENBMI/TOMLAB)'
problem: 0
dimacs: [4.0544 0 0 8.9627e-010 0 4.7970e-007]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
| ID| Constraint| Type| Primal residual| Dual residual|
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
| #1| Numeric value| Matrix inequality| -8.9627e-010| 6.0564e-028|
| #2| Numeric value| Matrix inequality| -3.7836e-010| 5.6502e-029|
| #3| Numeric value| Matrix inequality| 5.7225e-009| 2.3904e-020|
| #4| Numeric value| Equality constraint| -8.712e-014| -4.2724|
| #5| Numeric value| Elementwise inequality| 8.712e-014| 1e-014|
| #6| Numeric value| Equality constraint| -4.6931e-014| -5.3349|
| #7| Numeric value| Elementwise inequality| -4.6931e-014| 1e-014|
| #8| Numeric value| Elementwise inequality (bilinear)| 6.4804e-009| NaN|
| #9| Numeric value| Elementwise inequality (bilinear)| 1.64e-007| NaN|
| #10| Numeric value| Elementwise inequality (bilinear)| 2.417e-007| NaN|
| #11| Numeric value| Elementwise inequality (bilinear)| 5.0829e-007| NaN|
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
whether or not is feasible?

Thanks in advance

It is just on the border, as the matrices 1,2,4,6,7 have slightly negative eigenvalues. Depends on the practical case, if this is this allowed for you. If not, try shifting the constraints, i.e. instead of X>0, use X>eye(n)*1e-8 or something like that. If the problem is strictly feasible, that might work. If not, you will have to accept these solutions, or do some other trick.

users.isy.liu.se/johanl/yalmip/pmwiki.php?n=Commands.Checkset

ok Thanks vary much!