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对一类极小谱任意符号模式的刻画
引用本文:乔晓玲,邵燕灵. 对一类极小谱任意符号模式的刻画[J]. 湖南文理学院学报(自然科学版), 2015, 0(1): 1-3,13. DOI: 10.3969/j.issn.1672-6146.2015.01.001
作者姓名:乔晓玲  邵燕灵
作者单位:中北大学 理学院,山西 太原,030051
基金项目:山西省回国留学人员科研资助项目(12–070)
摘    要:
对一类含有2n个非零元的符号模式矩阵进行研究,运用了幂零–雅可比方法证明了该类符号模式矩阵是谱任意的,并进一步证明了该符号模式是极小谱任意的。

关 键 词:幂零-雅可比方法  幂零矩阵  符号模式矩阵  谱任意

Characterization of a new class of minimally spectrally arbitrary sign patterns
Qiao Xiaoling;Shao Yanling. Characterization of a new class of minimally spectrally arbitrary sign patterns[J]. Journal of Hunan University of Arts and Science:Natural Science Edition, 2015, 0(1): 1-3,13. DOI: 10.3969/j.issn.1672-6146.2015.01.001
Authors:Qiao Xiaoling  Shao Yanling
Affiliation:Qiao Xiaoling;Shao Yanling;School of Science, North University of China;
Abstract:
A class of spectrally arbitrary sign patterns with 2n nonzero entries is studied. The sign pattern is proved to be spectrally arbitrary by using nilpotent-Jacobian method, and the given sign pattern is minimally spectrally arbitrary.
Keywords:Nilpotent-Jacobian method  nilpotent matrix  sign pattern matrix  spectrally arbitrary pattern
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