Why I use v = sdpvar(n,n,'symmetric') in yalmip but get a non-symmetric solution?

[KarryMa]

Dear all,
I define variables v = sdpvar(n,n) in the yalmip,
Constraints = [v(2,2)+v(4,1)*2^n==1;v(1,1)==v(2,2)+v(4,1);v>=0];
My solution just gives me

But I hope I can get

How can I define a variable like this? Does the matrix have a name? I know I can add more constraints, but I don't want to do that.

[johanlofberg]

Looks symmetric to me, so not clear what you are talking about. Symmetric is default, so no reason to use the 'symmetric' flag

[KarryMa]

Yes, you are right I changed my question.

[johanlofberg]

You hope you can get? Nothing in the constraints tells the solver you want that particular solution, or a solution with that structure, not have you constructed a matrix with that structure

X = diag(sdpvar(n,1));y = sdpvar(1);X(1,end)=y;X(end,1)=y;

[KarryMa]

It seems that the upper triangular matrix is equal to the lower triangular matrix of this matrix, does the kind of matrix have a name?

[johanlofberg]

That sounds like the definition of a symmetric matrix