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一类几乎可约矩阵的本原指数 被引量:3

The Primitive Exponent for a Class of Primitive Nearly Reducible Matrix
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摘要 应用图论方法推导出至少有一对非零对称元但非对称的n阶本原几乎可约矩阵所成的类(SNBn)的数个指数公式,并进一步确定出(SNBn)的本原指数集(S1∪S2∪S3). In this paper we apply graphic method to determine the exponent set for a class of n order (non-)symmetric, primitive, nearly reducible Boolean matrix with at least one pair of nonzero symmetry entries. Our results are the following:(1)we deduce several formula of the exponent for the class;(2)we obtain the exponent set (S_1∪S_2∪S_3) for the class.
作者 李毓祁
出处 《海南大学学报(自然科学版)》 CAS 2004年第1期15-22,共8页 Natural Science Journal of Hainan University
关键词 几乎可约矩阵 本原指数 本原矩阵 极小强连通有向图 布尔矩阵 primitive matrix primitive exponent nearly reducible matrix minimally strong connected (directed) graph
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参考文献5

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同被引文献25

  • 1李毓祁,李大超.具有非零迹的非对称矩阵的本原指数集[J].海南师范学院学报(自然科学版),2005,18(3):193-196. 被引量:1
  • 2李毓祁.一个本原矩阵类的指数集的完全刻划[J].数学学报(中文版),1996,39(5):637-642. 被引量:14
  • 3邵嘉裕.对称本原矩阵的指数集[J].中国科学:A辑,1986,9:931-939.
  • 4SHAO Jia-yu. On lhe exponenl of a primilive digraph[J]. Linear Algebra and Ils Applicalions, 1985,64:21-31.
  • 5柳柏濂.组合矩阵论[M].北京:科学出版社,1998..
  • 6SHAO Jiayu. On the exponent of a primitive digraph[J].Linear Algebra and Its Applications,1985,64:21-31.
  • 7贝尔热C.超图[M].南京:东南大学出版社,2002.
  • 8LIM L H. Singular values and eigenvalues of a tensor: a variational approach [ J ]. Proceedings of the IEEE International Work- shop on Computational Advances in Multi-Sensor Adaptive Processing, 2005, 1 : 129 - 132.
  • 9COOPER J, DUTLE A. Spectra of uniform hypergraphs[J]. Linear Algebra Appl., 2012, 436(9) : 3268 -3292.
  • 10PEARSON K, ZHANG T. Eigenvalues on the adjacency tensor of products of hypergraphs[J]. Int. J. Contemp. Math. Sci- ences, 2013, 8(4) : 151 -158.

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