严格对角占优M-矩阵‖A^(-1)‖_∞上界的新估计

New Estimation of the Upper Bound on ‖A^(-1)‖_∞ for Strictly Diagonally Dominant M-Matrices

根据M-矩阵的特点和性质,对严格对角占优M-矩阵A^(-1)_∞的上界做了进一步研究,并给出相应的估计式,同时得到A的最小特征值下界的估计式;算例表明,这些新估计式改进了现有的结果。

According to the characteristics and properties of M- matrices, an upper bound for‖A-1‖∽ of strictly diagonally dominant M- matrices is further researched, and the corresponding new results are given. At the same time new lower bound on the smallest eigenvalue of A is derived. An example demonstrates that these inequalities are better than several known estimating formulas in some cases.