G-函数与迭代阵谱半径的估计

G-functions and Estimates of Spectral Radius of Iterative Matrices

该文应用G-函数概念,获得了迭代矩阵谱半径新的上、下界,所得结果推广和改进了文献[1-6]中的相应结果.这些结果适合于更广泛的矩阵类,数值结果也表明在相同的条件下这些新界优于文献[1-6]中的界.

In this paper, some new bounds for the spectral radius of iterative matrices are obtained, which generalize and improve the results in [1 6]. These results are suited to extended matrices. Numerical examples show that these new bounds are better than the earlier ones in [1 6] under same conditions.