| 一个本原矩阵类的指数集的完全刻划 |
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| 引用本文： | 李毓祁.一个本原矩阵类的指数集的完全刻划[J].数学学报,1996,39(5):637-642. |
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| 作者姓名： | 李毓祁 |
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| 作者单位： | 海南省通什市人民银行 |
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| 摘 要： | 本文证明了至少有一对非零对称元但非对称的ｎ（＞５）阶本原矩阵所成的类的指数集是：（１）迹非零时，无论ｎ（＞５）是奇数还是偶数，都有指数集．（２）迹为零时，（ｉ）若ｎ（＞５）是奇数，则指数集（ｉｉ）若ｎ（＞５）是偶数，则指数集．
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| 关 键 词： | 本原矩阵，本原指数，布尔矩阵，伴随有向图 |
| 收稿时间： | 1994-11-3 |
| 修稿时间： | 1995-7-11 |
Completely Characterize the Exponent Set for the Class of Non-symmetric Primitive Matrices with Nonzero Symmetry Elements |
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| Institution: | Li Tuqi(The People's Bank of China,Tongshi Branch,Tonshi 572200, China) |
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| Abstract: | In this paper we completely determine the index set for the class of n×n (n>5)non-symmetric primitive matrices with at least one pair of nonzero symmetry entries. The main results are the following:(1)trace is nonzero,regardless of n(>5) is odd or even,we always have (2)trace is zero,(i)if n(>5) is odd,then (ii) if n(>5) is even) then |
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| Keywords: | Primitive matrix Primitive exponent Boolean matrix Accompany digraph |
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