非奇异弱链对角占优矩阵的逆矩阵无穷大范数的上界

The Infinity Norm Upper Bound for the Inverse of Nonsingular Weakly Chained Dominant Matrices

文章研究了非奇异弱链对角占优矩阵A的逆矩阵‖A-1‖无穷大范数‖A-1‖∞上界的估计问题,利用弱链对角占优矩阵的逆矩阵元素的上界估计式给出了‖A-1‖∞上界的新的估计式,这些估计式改进了现有的结果。

The paper studies the problem of estimating upper bounds on the infinite norm ‖A-1‖∞ of the inverse matrix ‖A-1‖ of nonsingular weak chain diagonally dominant matrix A,using the upper bound of elements of inverse matrix of weak chain diagonally dominant matrix gives the new estimation of upper bound of ‖A-1‖∞,and improves the existing results.