# This problem is a SDP? How to solve it?

I have the following problem to solve:

\mathop{\mathrm{min}}\limits_{\mathbf{f},{\beta}_{i},i=1,2}\quad\mathbf{f}^{H}\mathbf{Q}_{0}\mathbf{f}\\

where \mathbf{f}\in \mathbf{C}^{N\times 1},\mathbf{Q}\in \mathbf{C}^{N\times N}.