On the period and base of a sign pattern matrix
On the period and base of a sign pattern matrix
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DOI：
10.1016/0024-3795(94)90398-0
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发表时间：
1994-11
影响因子：
1.1
通讯作者：
Zhongshan Li;Frank J. Hall;C. Eschenbach
中科院分区：
文献类型：
--
作者：
Zhongshan Li;Frank J. Hall;C. Eschenbach
如果所有的幂幂a1，A2,A3，…都是明确定义的，那么方号模式矩阵xa（其条目为+，−或0）就是强大的。对于一个强大的模式na，如果Al=Al+ pwithlandpminimum，则它称为a的基，而p称为a的周期。刻画了不可约强符号模式矩阵，研究了强符号模式矩阵的周期和基。我们还考虑了一些与实矩阵的联系，并给出了一些重要的强大模式类。
A square sign pattern matrixA(whose entries are +, −, or 0) is said to be powerful if all the powersA1,A2,A3,…, are unambiguously defined. For a powerful patternA, ifAl=Al+pwithlandpminimal, thenlis called the base ofAandpis called the period ofA. We characterize irreducible powerful sign pattern matrices and investigate the period and base of a powerful sign pattern matrix. We also consider some connections with real matrices and give some significant classes of powerful patterns.