[1]赵克文.同样指数集的更小本原矩阵类证明[J].华侨大学学报(自然科学版),2001,22(2):137-138.[doi:10.3969/j.issn.1000-5013.2001.02.006]
　Zhao Kewan.A Simple Proof that a Still More Small Class of Primitive Matricas Have the Same Exponent Set[J].Journal of Huaqiao University(Natural Science),2001,22(2):137-138.[doi:10.3969/j.issn.1000-5013.2001.02.006]
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同样指数集的更小本原矩阵类证明()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第22卷
期数:
2001年第2期
页码:
137-138
栏目:
出版日期:
2001-04-20

文章信息/Info

Title:
A Simple Proof that a Still More Small Class of Primitive Matricas Have the Same Exponent Set
文章编号:
1000-5013(2001)02-0137-02
作者:
赵克文
琼州大学数学系, 通什572200
Author(s):
Zhao Kewan
Dept. of Math., Qiongzhou Univ., 572200, Tongshi
关键词:
本原矩阵;  指数集;  通道
Keywords:
primitive matrix;  exponent set;  channel
分类号:
O151.21
DOI:
10.3969/j.issn.1000-5013.2001.02.006
摘要:
李毓祁在《数学学报》上得到对角元非零至少有一对非零对称元,但非对称的 n阶本原短阵的指数集 E+n ={ 2,3,…,2 n- 2 } .对此,文中给出其中一更小类本原短阵已有此指数集,且证明更简洁又不引用任何结果 .另外,文中还给出一著名定理的简短证明 .
Abstract:
Li Yuqi had obtained exponent set E + n={2,3,…,2n-2} of non symmetrical n order primitive matrices, of which diagonal element has at teast a pair of nonzero symmetric elements. Without the citation of any result, the authors more succintly prove that a still more small class of these prcmitive matrices have this exponent set already. Besides, a brief proof is given to a famous theorem.

参考文献/References:

[1] Varge R S, 周建平. 矩阵迭代分析 [M]. 上海:上海科学技术出版社, 1962.6-365.
[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, 1996(5):637-642.

更新日期/Last Update: 2014-03-23