| 一类新的极小谱任意符号模式 |
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| 引用本文： | 张晓婷,张俊.一类新的极小谱任意符号模式[J].商丘师范学院学报,2011(12):1-4. |
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| 作者姓名： | 张晓婷 张俊 |
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| 作者单位： | 中北大学数学系; |
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| 基金项目： | 国家自然科学基金资助项目(11071227); 山西省自然科学基金资助项目(2008011009) |
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| 摘 要： | 一个n阶符号模式P是谱任意的,如果对任意的n次首一实系数多项式f（x）,在P的定性矩阵类Q（P）中至少存在一个实矩阵B,使得B的特征多项式为f（x）.如果谱任意符号模式矩阵P的任意非零元被零取代后所得到的符号模式矩阵不是谱任意的,那么P称为极小谱任意符号模式.本文给出了一类n≥3的极小谱任意符号模式.
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| 关 键 词： | 符号模式 蕴含幂零 谱任意模式 |
A new class of minimally spectrally arbitrary sign patterns |
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| ZHANG Xiaoting,ZHANG Jun.A new class of minimally spectrally arbitrary sign patterns[J].Journal of Shangqiu Teachers College,2011(12):1-4. |
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| Authors: | ZHANG Xiaoting ZHANG Jun |
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| Institution: | ZHANG Xiaoting,ZHANG Jun(Department of Mathematics,North University of China,Taiyuan 030051,China) |
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| Abstract: | A sign pattern matrix P of order n is a spectrally arbitrary pattern(SAP) if given any monic polynomical f(x) of order n with real coefficients,there exists a real matrix B in Q(P) such that the characteristic polynomial of B is f(x).A sign pattern P is minimally spectrally arbitrary if it is spectrally arbitrary,but the sign pattern obtained from P by replacing any nonzero entry of P by zero is not spectrally arbitrary.In this paper,we prove that a class of sign patterns are minimally spectrally arbitrary ... |
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| Keywords: | sign pattern spectrally arbitrary pattern potentially nilpotent |
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