I have a matrix $\bf H\in\mathbb{C}^{T\times R}$. There are $T$ transmitters and $R$ receivers with $T>R$.
Let $h_{t,r}$ denotes the ${(t,r)}$ component of $\bf H$.
Each receiver needs to choose one of the transmitters that gives $\max(\text{abs}(h_{t,r})),t=1,2,\cdots T$.
Of course, I can do it heuristically.
However, is there any way to do it using linear algebra? Does SVD or eigen value can be used to do it? Note that two receivers may end up choosing the same transmitter.