| 两类新的极小谱任意符号模式矩阵 |
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| 引用本文： | 牛艳茹,雷英杰. 两类新的极小谱任意符号模式矩阵[J]. 新乡学院学报(自然科学版), 2013, 0(6): 401-403,410 |
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| 作者姓名： | 牛艳茹 雷英杰 |
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| 作者单位： | 中北大学理学院,太原030051 |
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| 基金项目： | 国家自然科学基金项目（11071227） |
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| 摘 要： | 给出了两类符号模式矩阵，通过计算这两类符号模式矩阵所蕴含的定性矩阵类的特征多项式，得出这两类符号模式矩阵具有蕴含幂零性且其幂零指数为n．分别用幂零．雅克比方法和幂零．中心化子方法证明了这两类符号模式矩阵及其母模式为谱任意的，并得出这两类符号模式矩阵同时为极小谱任意符号模式矩阵的结论．
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| 关 键 词： | 符号模式 谱任意 幂零-雅克比方法 幂零-中心化子方法 |
Two New Matrices of Minimum Spectrally Arbitrary Sign Pattern |
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| NIU Yan-ru,LEI Ying-jie. Two New Matrices of Minimum Spectrally Arbitrary Sign Pattern[J]. , 2013, 0(6): 401-403,410 |
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| Authors: | NIU Yan-ru LEI Ying-jie |
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| Affiliation: | (School of Science, North University of China, Taiyuan 030051, China) |
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| Abstract: | Two classes of sign pattern matrices are provided. It is obtained that these two sign pattern matrices are potential nilpotent and the nilpotent index are n by calculating the contained characteristic polynomial of determined matrix. These two classes of sign pattern matrices and their super patterns are proved spectrally arbitrary, by the nilpotent-Jacobi method and the nilpotent-centralizer method, respectively. And these two classes of sign pattern matrices are also minimum spectrally arbitrary. |
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| Keywords: | sign pattern spectrally arbitrary nilpotent-Jacobi method nilpotent-centralizer method |
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