不可约M矩阵最小特征值的下界估计

The new lower bound estimate of the minimum eigenvalue for irreducible M matrix

文章利用Gerschgorin圆盘定理,得到了非负矩阵AoB^(-1)的谱半径新的上界;紧接着,利用非奇异M矩阵B的性质r(B)=1/ρ(B^(-1)),得到了τ(B)的新下界;并且从理论上证明了这些新界改进了文献[3-4]中的相应结果。

Using the Gerschgorin disk theorem, this research got the two new upper bound estimates of the spectral radius of nonnegative matrix AoB-1; then,using the properties of τ（B）=1/ρ（B-1）for nonsingular M matrixB, it got the new lower bound estimation formula of τ（B）： it theoretically proved that the new territories could improve the corresponding results in the literature [3-4].