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M-矩阵Hadamard积的最小特征值下界的新估计式
引用本文:陈付彬,任献花,郝冰.M-矩阵Hadamard积的最小特征值下界的新估计式[J].数学理论与应用,2012(2):60-66.
作者姓名:陈付彬  任献花  郝冰
作者单位:昆明理工大学津桥学院建筑艺术及工学系
基金项目:Supported by Scientific Research Fund of Yunnan Provincial Education Department(2010Y073);Scientific Research Fund of Oxbridge College(JQ10003,JQ12004)
摘    要:设B和A是非奇异M-矩阵,给出B和A-1的Hadamard积的最小特征值下界τ(B°A-1)的一个新估计式,理论证明和算例表明,本文所得新估计式改进了现有的一些结果.

关 键 词:M-矩阵  Hadamard积  最小特征值  下界

New Bound on Eigenvalue of the Hadamard Product of M-matrices
Chen Fubin Ren Xianhua Hao Bing.New Bound on Eigenvalue of the Hadamard Product of M-matrices[J].Mathematical Theory and Applications,2012(2):60-66.
Authors:Chen Fubin Ren Xianhua Hao Bing
Affiliation:Chen Fubin Ren Xianhua Hao Bing(Department of Architecture and Engineering,Oxbridge College,Kunming University of Science and Technology,Kunming,Yunnan 650106,China)
Abstract:If B and A are n×n nonsingular M-matrices,a new lower bound for the minimum eigenvalue τ(B°A-1) for the Hadamard product of B and A-1 is derived.Theoretical result and an example demonstrate that the new bound is better than some existing ones.
Keywords:M-matrix Hadamard product Minimum eigenvalue Lower bound
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