SVD of concatenate matrices

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Let $X \in \mathbf{R}^{n\times m}$ be split into two sub matrices, $X = \begin{bmatrix} X_0 \\ X_1 \end{bmatrix} $, if $X_0 = U_0 \Sigma_0 V_0^T$ and $X_1 = U_1 \Sigma_1 V_1^T$ can we say anything about the SVD of $X$, or at least have a good starting point for an iterative method?