I have the following optimization problem:
\begin{equation} \label{eq:iso_exp} \begin{array}{ll} \underset{q}{\operatorname{minimize}} & (\rho-a) \circ (q - \mu) + (q - \mu)^Tb(q - \mu)\\ \text { subject to } & A(q - \mu) + c = 0, q - \mu \geq 0 \end{array} \end{equation}
Everything except $q$ is a constant or a constant matrix/vector. $q$ is a $m\times n$ matrix, and each $q_{ij}$ is a variable. $\circ$ denotes the Hadamard product.
I'm unsure of how to solve this. I'm trying to fit KKT conditions to this but I can't comprehend those. Please help. Thanks.