A square matrixMathworldPlanetmath is called a Z-matrix if all off-diagonal entries are less than or equal to zero.

Z-matrix arises naturally in solving Dirichlet problem numerically, and linear modeling of economy.


M. Fiedler, Special matrices and their applications in numerical 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 and applications, 1997, Cambridge University Press, United Kingdom.

Title Z-matrix
Canonical name Zmatrix
Date of creation 2013-03-22 15:24:51
Last modified on 2013-03-22 15:24:51
Owner kshum (5987)
Last modified by kshum (5987)
Numerical id 11
Author kshum (5987)
Entry type Definition
Classification msc 15A57