非负矩阵谱半径的估计

摘要

借助2个新的矩阵,利用Frobenius G不等式,得出一种易于计算的新的估计方法,得出非负矩阵谱半径的上下界,最后通过实例说明该方法的优越性.%In this paper, a new simple-calculating estimation method based on two new matrices are obtained by using the Fro-benius inequality. Therefore a convergence sequence of lower bounds and upper bounds of the perron root can be constructed. Some examples are given to show the effectiveness of the new method is effective.