广义随机矩阵的特征值分布

The Distribution of Eigenvalues of Generalized Stochastic Matrix

本文讨论了广义随机矩阵的特征值分布,同时给出了它的正定性判定和行列式估计,还证明了特征值全是正数的不可约化的二重随机矩阵的存在性,并简化了[9]的证明,改进和推广了[1]、[9]的结果。

In this paper, we discussed the distribution of eigenvalues of generalized stochastic matrix, at the same time we gave the criterion of its proved also the existence of real doubly stochastic matrix all of whose eigenvalues arc positive, and simplified proof of [9],thus having improved and generalized the results of [1],[9].