| 幂零-中心化方法的一个应用 |
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| 引用本文： | 卢勇,高玉斌.幂零-中心化方法的一个应用[J].纯粹数学与应用数学,2014(1):105-110. |
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| 作者姓名： | 卢勇 高玉斌 |
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| 作者单位： | 中北大学理学院,山西 太原030051 |
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| 基金项目： | 国家自然科学基金（11071227）;山西省回国留学人员科研资助项目（12-070）. |
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| 摘 要： | 试图丰富谱任意符号模式矩阵类.给出了一个新的含有2n个非零元的符号模式矩阵,并运用幂零-中心化方法与幂零-雅可比方法分别研究了该模式的所有母模式是谱任意的.进一步证明了该模式是极小谱任意的.最后比较了两种证明方法的联系与区别.
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| 关 键 词： | 幂零-中心化 符号模式矩阵 幂零矩阵 谱任意 |
An application for the nilpotent-centralizer method |
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| Lu Yong,Gao Yubin.An application for the nilpotent-centralizer method[J].Pure and Applied Mathematics,2014(1):105-110. |
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| Authors: | Lu Yong Gao Yubin |
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| Institution: | (School of Science, North University of China, Taiyuan 030051, China) |
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| Abstract: | In this paper, in order to enrich the classes of spectrally arbitrary patterns, we present a new sign pattern with 2n nonzero entries. Then applying the nilpotent-centralizer method and the nilpotent-jacobian method, we respectively obtain that all the suppatterns of the given sign pattern are spectrally arbitrary. Furthermore, we prove that the given sign pattern is minimally spectrally arbitrary. Finally, the connection and difference of the two introduced methods are comparied. |
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| Keywords: | nilpotent-centralizer sign pattern matrix nilpotent matrix spectrally arbitrary pattern |
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