Z-matrix
A square matrix is called a -matrix if all off-diagonal entries are less than or equal to zero.
Z-matrix arises naturally in solving Dirichlet problemnumerically, and linear modeling of economy.
Reference:
M. Fiedler, Special matrices and their applications innumerical mathematics, 1986, Martinus Nijhoff Publishers,Dordrecht.
R. A. Horn and C. R. Johnson, Topics in matrix analysis,1991, Cambridge University Press, United Kingdom.
R. B. Bapat and T. E. S. Raghavan, Nonnegative matrices andapplications, 1997, Cambridge University Press, United Kingdom.