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摘要: 利用Cauchy--Schwitz不等式给出两个n阶非负矩阵A和B的Hadamard积A。B的谱半径ρ(A。B)的一组上界;并且与前人给出的结果进行比较,从而说明新结果的创新之处.类似地,利用Cauchy--Schwitz不等式给出两个n阶M--方阵A和B的Fan积A★B的最小特征值т(A★B)的一组下界.Abstract: This paper found a new type upper bound of ρ(A。B) which was the spectral radius of the Hadamard product of two nonnegative matrices A and B by using Cauchy—Schwitz inequality and compared the new type upper bound with the classical results. In the same way, this paper found a new type lower bound of т(A★B),which was the minimum eigenvalue of the Fan product of two M--matrices A and B.
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