Let $A,B$ be two real matrices, of dimensions $n \times k$ and $m \times k$, respectively. I assume that $k \ll n,m$.
I am interested in computing the SVD of the product matrix $C = AB^{T}$. The matrix $C$ is large, of dimensions $n \times m$, and it is slow to deal with (computationally speaking). Is there a way to exploit knowledge of the factors $A,B$, to compute efficiently the SVD of $C$?