严格对角占优M-矩阵的逆矩阵无穷范数的新上界

New Upper Bounds for the Infinity Norm of Inverse Matrix of Strictly Diagonally Dominant M-Matrix

利用逆矩阵元素的范围,给出严格对角占优M-矩阵的逆矩阵无穷范数上界新的估计式,进而得到严格对角占优M-矩阵最小特征值下界的估计式,并给出了严格α-对角占优M-矩阵的逆矩阵的无穷范数新上界.理论分析和数值实例表明,新估计式改进了已有的结果.

Based on the range for the elements of inverse matrix,a new upper bound of the infinity norm of inverse matrix of a strictly diagonally dominant M-matrix was presented so as to obtain a lower bound of the minimum eigenvalue of the M-matrix.Meanwhile,a new upper bound of the infinity norm of inverse matrix of a strictlyα-diagonally dominant M-matrix was given.Theory analysis and numerical examples show that these bounds improve existed results.