正矩阵最大特征值的估计

Bounds for maximum eigenvalue of positive matrix

非负矩阵最大特征值的估计是非负矩阵理论中重要的课题.如果上下界能表示为收敛的序列,那么就可以得到最大特征值更精确的估计.基于此,本文给出了正矩阵最大特征值的一种新的估计方法,这种方法改进了G.Frobenius和H.Minc等的结果,最后给出数值例子加以比较.

Computing the bounds for the greatest characteristic root of positive matrix is active and important part in the theory of nonnegative matrices.When their bounds are expressed convergent sequence,we can obtain more precise results.So,we give a new estimation method in this paper,which generalized and improved the bounds by G.Frobenius,H.Minc.And finally an example is given for comparison.