Can YALMIP solve the following problem?

[jujie zhang]

Hi,

I want to solve the following problem (MATLAB script)

A=[1 0;0 1];

P=sdpvar(2,2);

tmp=P*A;

g=sum(tmp(:));

Can YALMIP settle this problem with a matrix to be determined?

[Johan Löfberg]

Wherein lies the problem? As you written it now, it is a trivial problem with no constraints and a linear objective, so of course it can be "solved" (solved in quotes since there is no solution to the problem since it is unbounded)

[jujie zhang]

I want to ask: if the solution to  is a matrix instead of a vector, can YALMIP solve the problem on matrix basis?

[Johan Löfberg]

Of course, otherwise it would not be possible to define a matrix variable

http://users.isy.liu.se/johanl/yalmip/pmwiki.php?n=Tutorials.Basics