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Aug 12, 2010 at 16:23 comment added bobobobo @David, thank you. @Federico: Thank you for that insightful comment.
Aug 12, 2010 at 12:22 comment added Federico Poloni A wide class of matrices having nonnegative inverses is that of M-matrices. en.wikipedia.org/wiki/M-matrix . The matrix in the link you posted has the right sign-pattern (i.e., it is a Z-matrix), so you just need to check that the spectral radius of the matrix $\rho_i F_{ij}$ is less than 1 to make sure that your matrix is an M-matrix.
Aug 11, 2010 at 20:05 vote accept bobobobo
Aug 11, 2010 at 18:59 comment added Tony Huynh You are fast David, I was just in the middle of posting.
Aug 11, 2010 at 18:52 history answered David E Speyer CC BY-SA 2.5