严格对角占优M-矩阵的逆矩阵无穷大范数上界进一步研究

Estimation on Upper Bounds for ‖A^(-1)‖_∞ of Strictly Diagonally Dominant M-matrices

研究了严格对角占优M-矩阵的逆矩阵的无穷大范数上界的估计问题,利用矩阵的逆矩阵元素新的上界估计式给出了‖A-1‖∞新的估计式,这些新的估计式改进了已有的结果.

Let A be a real strictly diagonally dominant M- matrix. Firstly, some new upper bounds for the entries of A-1 are given, these bounds only depend on the entries of matrix A . Secondly, some new upper bounds of ‖A-1‖∞ are given. Furthermore, the lower bound of the smallest eigenvalue q （A） of A is presented. These bounds improve the existing results.