I am studying an optimization problem
\begin{equation} \mathbf{x}^*=\text{argmax}\quad\sum_{d=1}^{D}\log(\mathbf{a}_d^T\mathbf{x}+b)+\mathbf{c}_d^T\mathbf{x}+f_d\\ \text{subject to}\quad \mathbf{f}_k^T\mathbf{x}+g_k\ge0\qquad k=1,\ldots,K\\0\preceq\mathbf{x}\preceq1 \end{equation}
where all the bold-faced letters are $D\times1$ vectors and $\preceq$ is element-wise inequality.
I used MATLAB cvx solver SeDuMi to solve the problem but I am stuck at the computational complexity analysis. I can't find a proper reference. I would appreciate any help.