The period and base of a reducible sign pattern matrix
The period and base of a reducible sign pattern matrix
复制标题
DOI：
10.1016/j.disc.2007.03.015
复制
发表时间：
2007-11
期刊：
影响因子：
--
通讯作者：
Bolian Liu
中科院分区：
文献类型：
--
作者：
Bolian Liu
一个平方符号模式矩阵A(其元素为+、-或0)称为幂的，如果所有的幂A，A2，A3，…，都是明确定义的。对于一个强模式A，如果Al=Al+p且具有L和p极小，则称L为A的基，p称为Li等人的周期。[关于符号模式矩阵的周期和基，线性代数应用。212/213(1994)101-120]刻画了不可约强符号模式矩阵。本文刻画了可约的强大符号模式矩阵，并给出了关于强大符号模式矩阵的周期和基的一些新结果。
A square sign pattern matrix A (whose entries are +,-or0) is said to be powerful if all the powers A,A2,A3,…, are unambiguously defined. For a powerful pattern A, if Al=Al+pwith l and p minimal, then l is called the base of A and p is called the period of Li et al. [On the period and base of a sign pattern matrix, Linear Algebra Appl. 212/213 (1994) 101–120] characterized irreducible powerful sign pattern matrices. In this paper, we characterize reducible, powerful sign pattern matrices and give some new results on the period and base of a powerful sign pattern matrix.