| 广义超度量矩阵的封闭性质 |
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| 引用本文： | 田贵贤,黄廷祝,崔淑玉.广义超度量矩阵的封闭性质[J].数学进展,2008,37(5). |
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| 作者姓名： | 田贵贤 黄廷祝 崔淑玉 |
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| 作者单位： | 1. 电子科技大学应用数学学院,成都,四川,610054
2. 菏泽学院数学系,菏泽,山东,274015 |
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| 摘 要： | 本文研究了广义超度量矩阵的封闭性质.证明了若A为非奇异的广义超度量矩阵,则A与A的转置的Hadamard积仍然是一个广义超度量矩阵,并且它的逆矩阵是一个对角占优的M矩阵.给出了两个广义超度量矩阵Hadamard积封闭的一个充分条件.最后,讨论了广义超度量矩阵的Perron补与和的封闭条件.
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| 关 键 词： | 广义超度量矩阵 Hadamard积 Perron补 |
Closure Properties of Generalized Ultrametric Matrices |
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| TIAN Guixian,HUANG Tingzhu,CUI Shuyu.Closure Properties of Generalized Ultrametric Matrices[J].Advances in Mathematics,2008,37(5). |
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| Authors: | TIAN Guixian HUANG Tingzhu CUI Shuyu |
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| Abstract: | The paper concerns with the closure properties of generalized ultrametric matrices.It is proved that when A is a nonsingular generalized ultrametric matrix,then the Hadamard product A o AT is also a generalized ultrametric matrix and its inverse is an Mmatrix.We also give a sufficient condition of Hadamard-closed when A,B are two generalized ultrametric matrices.Lastly,the Perron complements and sums of generalized ultrametric matrices are also discussed. |
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| Keywords: | generalized ultrametric matrix Hadamard product Perron complement |
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