As the title says, the problem I'm trying to solve gives that $Q \succcurlyeq 0$, but it doesn't seem to indicate that $Q$ is necessarily symmetric. So far I've tried
- proving from the definition of convexity, which got me a monstrous expression which I did not manage to simplify
- attempting to show $f$ is a norm (that went nowhere)
- finding the Hessian (I did not get very far on this, as I wasn't sure how to properly derive and the just finding the gradient was difficult)
The fact that the function is of a vector, not a scalar is only complicating things. Any insight, strategies, or solutions to solve this problem? I'm totally puzzled!