Abstract: In this paper,we provide some new sufficient conditions for generalized strictly diagonally dominant matrices by constructing different diagonal matrices D and using the relation between the comparison matrix  B and A(in this case,B=M(A)+MT(A)).In the end,we illustrate the practical applicability of the results with a numerical example.

Key words: diagonally dominant matrix, generalized strictly diagonally dominant matrix, comparison matrix, nonsingular M-matrix, diagonally dominant matrix with nonzero elements chain, irreducible diagonally dominant matrix