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非负矩阵Hadamard积谱半径的界 被引量:3

Bound of the Spectral Radius for the Hadamard Product of Nonnegative Matrices
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摘要 利用Cauchy-Schwitz不等式给出两个非负矩阵和Hadamard积的谱半径上界的一个新估计式,并与前人给出的结果进行比较。数值例子表明,新估计式在一定条件下改进了现有的结果。 This gives a new upper bound of the spectral radius for the Hadamard product of two nonnegative matrices by using Cauehy-Schwitz inequality and compared the new upper bound with the existing classical results. Numerical example shows that the proposed bound improves some existing ones.
出处 《江南大学学报(自然科学版)》 CAS 2014年第1期117-120,共4页 Joural of Jiangnan University (Natural Science Edition) 
基金 云南省教育厅科学研究基金项目(2012Y427 2013C165)
关键词 非负矩阵 HADAMARD积 谱半径 nonnegative matrices, Hadamard product, spectral radius
作者简介 陈付彬(1979-),男,山东临沂人,讲师,理学硕士。主要从事矩阵理论及其应用研究。Email:chenfubinyn@163.com
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参考文献12

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二级参考文献7

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  • 5LI Yao-tang,LI Yan-yan,WANG Rui-wu. Some new bounds on eigenvalues of the Hadamard product and the Fan product of matrices[J].Linear Algebra and Its Applications,2010,(2-3):536-545.
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