I have an array $V_{N*K}$ in which the sum of elemnts in each column is equal to 1. I have a function defined over the elements of this matrix which is
$$ F=\sum_{j=1}^N\sum_{l=1}^N\sum_{k=1}^KV_{jk}\log\frac{V_{jk}}{V_{lk}}+V_{lk}\log\frac{V_{lk}}{V_{jk}} $$
The question is what is the derivative of this function, $F$ with respect to an element of array $V$, For instance $V_{1,1}$
