I'd like to buy a book that contains more or less all known properties of elementwise nonnegative nonnegative matrices, i.e. matrices $A$ such that $A_{i,j}\geq 0$ for all $i,j$.

- Chapter 8 in Matrix Analysis of Johnson and Horn is nice but far to be exhaustive.
- In Matrix Analysis of Bhatia and Matrix Computations of Golub and Van Loan there is not even a chapter dedicated to this class of matrices.

After a bit googling I found these two books:

It seems that Nonnegative Matrices in the Mathematical Sciences of Berman and Plemmons is exactly what I want. But it is more than 20 years old (1994), so I wonder if there is something more

*up-to-date*.Nonnegative Matrices and Applications looks quite nice too and is a little bit more recent (1997). However, it seems that it is less oriented on the properties of nonnegative matrices themselves rather than their applications.

So, I'm a bit puzzled and my question is the following:

If I want to buy 1 book collecting the most complete list of known properties of nonnegative matrices, which one should I get?

elementwise nonnegativematrices. $\endgroup$ – Suvrit Dec 10 '15 at 19:16