有关非负矩阵谱半径及分离度界的估计

Bounds on the Spectral Radius and the Spread of Nonnegative Matrix

给出了非负矩阵谱半径上下界的一个估计 ,并将我们的结果与以往的结论做比较 ;在推论部分给出了非奇异M矩阵之逆的谱半径的界的估计以及任意复矩阵谱半径的一个上界的估计 .另外 ,我们还给出了非负矩阵分离度的上界估计 .

In this paper, we give an estimate of the upper and lower bounds on the spectral radius of a nonnegative matrix and compare the bounds with related those in other literatures. Moreover, we give the bounds for the inverse of a nonsingular M-matrix and the upper bound for an arbitary complex matrix. In the addition, we give an upper bound for the spread of a nonnegative matrix.