I am looking for some helps concerning an optimization problem.I have an optimization problem defined on two sets  $\mathcal{X}=\{x_i\}_{i=1}^n $ and $\mathcal{Y}=\{y_j\}_{j=1}^m $ and described as follows $$\begin{equation} \begin{aligned} & \underset{\alpha, \beta}{\text{max}} & & \sum_{i=1}^n \alpha_i x_i^T x_i-\frac{\sum_{i=1}^n \sum_{j=1}^n \alpha_i x_i^Tx_j \alpha_j}{\sum_{i=1}^n \alpha_i}+\sum_{k=1}^m \beta_k y_k^T y_k-\frac{\sum_{k=1}^m \sum_{l=1}^m \beta_k y_k^Ty_l \beta_l}{\sum_{j=1}^m \beta_j }\\ & \text{subject to}  & & 0 \leq \alpha \leq C1 \\ &  & &   0 \leq \beta \leq C2 \\ \end{aligned}\end{equation}$$where $C1$ and $C2$ are two given parameters. I'm asking if the above problem can be rewritten in the follwing form$$\begin{equation} \begin{aligned} & \underset{X}{\text{max}} & &  \frac{ X^T H X}{X}+A^TX\\ %\mathbf {1}_N & \text{subject to}  & & 0 \leq X \leq C \\ \end{aligned}\end{equation}$$If yes what would be the value of $H$,$A$ and $X$ and if not how can I optimize the first formulation by matlab knowing that the second formulation can be optimized in matlab by CVX package for convex optimization using its quad_over_lin function.Thanks a lot
Reformulation of optimization problem
quadratic programming