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非负矩阵的Hadamard积谱半径上界的估计
引用本文:刘新,杨晓英.非负矩阵的Hadamard积谱半径上界的估计[J].四川理工学院学报(自然科学版),2010,23(2):152-153,160.
作者姓名:刘新  杨晓英
作者单位:云南大学数学与统计学院,昆明,650091
摘    要:非负矩阵是一类特殊矩阵,广泛地应用于数值计算、图论、线性规划、计算机科学、自动控制等领域。两个非负矩阵的Hadamard积的谱半径问题是非负矩阵理论中一个重要问题。关于两个非负矩阵的Hadamard积A°B,我们给出A°B谱半径的新上界,这一上界改进了文献1]、文献2]和文献3]中的结果。

关 键 词:非负矩阵  Hadamard积  谱半径  上界  对角占优

New Upper Bound on the Spectral Radius of the Hadamard Product of Nonnegative Matrices
LIU Xin,YANG Xiao-ying.New Upper Bound on the Spectral Radius of the Hadamard Product of Nonnegative Matrices[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2010,23(2):152-153,160.
Authors:LIU Xin  YANG Xiao-ying
Institution:LIU Xin,YANG Xiao-ying(School of Mathematics , Statistics,Yunnan University,Kunming 650091,China)
Abstract:Nonnegative matrix is a type of special matrix,which has been widely used in numerical,graph,linear programming,computer science and automation and so on.The spectral radius problem of the Hadamard product of two nonnegative matrices is an important problem in the theory of nonnegative matrix.For the Hadamard product A°B of nonnegative matrices A and B,we give new upper bound for the spectral radius of A°B.The new bound improves the results of 1],2] and 3].
Keywords:nonnegative matrix  Hadamard product  spectral radius  upper bound  diagonally dominant  
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