New lower bounds for the minimum eigenvalue of the Hadamard product of nonsingular M-matrices(非奇异M-矩阵Hadamard积的最小特征值的新下界)

针对非奇异M-矩阵B与非奇异M-矩阵A的逆矩阵A-1的Hadamard积的最小特征值τ(B◦A-1)的估计问题,首先利用矩阵A的元素给出A-1各元素的上下界序列,然后利用这些序列和Brauer定理给出τ(B◦A-1)单调递增收敛的下界序列.最后,通过数值算例验证理论结果,显示所得下界序列比现有结果精确,且能收敛到真值....

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Bibliographic Details
Main Authors: ZHAOJianxing(赵建兴), SANGCaili(桑彩丽)
Format: Article
Language:zho
Published: Zhejiang University Press 2017-09-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2017.05.001