Subscript in maximum notation My question is concerning a maximum notation.
I have a $3\times 3$ matrix: 
$$Q=\begin{bmatrix}-3&2&1\\1&-2&1\\0&1&-1\end{bmatrix},$$
where $q_{ii}$ = $-\sum_{i \neq j} q_{ij}$. Let $\mu = \max_i(-q_{ii})$.
I am unsure what the maximum refers to, having a subscript $i$. Whether it is the value of $i$ that gives the maximum value (in this case that would be $\max(1,1) = 1$, because the maximum value is found at entry $(1,1)$ in the matrix, or if it is the maximum value of $-q_{ii}$ (which in this case is $-(-3) = 3$.)
Any help would be appreciated. 

It refers to taking the maximum over all the $i$'s, so $$\mu=\max(-q_{11},-q_{22},-q_{33})=\max(3,2,1)=3.$$
