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一个新的极小谱任意符号模式
  • 期刊名称：山西大学学报(自然科学版)，31(4)，489-492，2008
  • 时间：0
  • 分类：O157[理学—数学;理学—基础数学]
  • 作者机构：[1]中北大学数学系,山西太原030051
  • 相关基金：国家自然科学基金（10571163）;山西省自然科学基金（2007011017）
  • 相关项目：符号模式定性理论与图组合理论的研究
关键词： 符号模式, 蕴含幂零, 谱任意模式, sign pattern , potentially nilpotent , spectrally arbitrary pattern
中文摘要：

若给定任意一个n次首一实系数多项式f（λ）,都存在一个实矩阵B∈Q（A）,使得B的特征多项式为f（λ）,则称A为谱任意符号模式.如果一个谱任意符号模式的任意非零元被零取代后所得到的符号模式不是谱任意,那么这个谱任意符号模式称为极小谱任意符号模式.文章给出了一个极小谱任意符号模式.

英文摘要：

If every monie real polynomial of degree n can be achieved as the characteristic polynomial of some matrix B∈Q（A） ,then the sign pattern A of order n is a spectrally arbitrary pattern. A sign pattern A is minimally spectrally arbitrary if it is spectrally arbitrary but is not spectrally arbitrary if any nonzero entry （or entries） of A is replaced by zero. We introduce a new sign pattern which is minimally spectrally arbitrary for order n≥6.

同期刊论文项目
符号模式定性理论与图组合理论的研究
期刊论文 57 会议论文 7 获奖 8
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