严格列对角占优矩阵‖A^(-1)‖_∞的上界估计

An Upper Bound for ‖A^(-1)‖_∞ of Strictly Column Diagonally Dominant Matrix

针对矩阵范数的上下界估计,给出当A是严格行对角占优矩阵时的‖A-1‖1的上界估计及当A是严格列对角占优矩阵时的‖A-1‖∞的上界估计,改进了相关结果。

From the view of application,it is important to have a good upper bound for the matrix norm. In this paper,we give an upper bound of ‖A^-1‖1when A is a strictly row dominant matrix,and give an upper bound of ‖A^-1‖∞when A is a strictly column dominant matrix. This can improve some related results.