Inequalities for M-matrices and inverse M-matrices Original Research Article

In this paper, we establish some determinantal inequalities concerning M-matrices and inverse M-matrices. The main results are as follows: 1. If A=(aij) is either an n×n M-matrix or inverse M-matrix , then for any permutation i1,i2,…,in of {1, 2, … , n}, (a) image (b) image if and only if A is essentially triangular. 2. If A=(aij) is an n×n M-matrix, B=(bij) is an n×n inverse M-matrix , Aring operatorB denotes the Hadamard product of A and B, then Aring operatorB is an M-matrix, and for any permutation i1,i2,…,in of {1,2,…,n},image