I've done some searching but couldn't get much from the web.
I am looking for some pointers regarding the properties of non-negative non-symmetric square matrices. The elements within the matrix are all real. I know this question is probably a bit general but I'm looking for properties analogous to what we can say for adjacency matrices.
Based on such limited information, what can we say about it's spectrum or bounds? Also, what more can we say if it's trace is zero?