New upper bounds for ∥ A − 1 ∥ ∞ of strictly diagonally dominant M-matrices
Feng Wang, Deshu Sun, Jianxing Zhao · Journal of Inequalities and Applications · 2015
A new upper bound for the infinity norm of inverse matrix of a strictly diagonally dominant M -matrix is given, and the lower bound for the minimum eigenvalue of the matrix is obtained. Furthermore, an upper bound for the infinity norm of inverse matrix of a strictly α -diagonally dominant M -matrix is presented. Finally, we give numerical examples to illustrate our results.