非负矩阵Hadamard积和M-矩阵Fan积的特征值界的估计Estimating of bounds on eigenvalues of the Hadamard product for nonnegative matrices and the Fan product of M-matrices
周平;李耀堂;
摘要(Abstract):
矩阵的Hadamard积和Fan积是矩阵理论研究的重要问题之一.对于两个非负矩阵A和B的Hadamard积,给出了它的谱半径上界的两个新的估计式;同时对于两个非奇异M-矩阵A和B的Fan积,给出了它的最小特征值下界的两个新的估计式;算例表明,所得估计式在某些情况下比现有估计式更为精确,并且这些估计式都只依赖于矩阵A和B的元素,更容易计算.
关键词(KeyWords): 非负矩阵;M-矩阵;Hadamard积;Fan积;谱半径;最小特征值
基金项目(Foundation): 国家自然科学基金(10961027)
作者(Authors): 周平;李耀堂;
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