Monotonicity of some perturbations of irreducibly diagonally dominant M-matrices

摘要: This paper presents a new result concerning the perturbation theory of M-matrices. We give proof theorem showing that some perturbations irreducibly diagonally dominant M-matrices are monotone, together with an explicit bound norm perturbation. One assumptions matrix is sum entries each its row nonnegative. The resulting shown to be although it may not and off diagonal part have positive entries. as application second order convergence non-centered finite difference scheme applied elliptic boundary value problem.