ON THE PERIOD AND BASE OF A SIGN PATTERN MATRIX

被引：51
|
作者：
LI, ZS
HALL, F
ESCHENBACH, C
机构：
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1994年 / 212卷
关键词：
D O I：
10.1016/0024-3795(94)90398-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A square sign pattern matrix A (whose entries are +, -, or 0) is said to be powerful if all the powers A(1), A(2), A(3),..., are unambiguously defined. For a powerful pattern A, if A(l) = A(l+p) with l and p minimal, then l is called the base of A and p is called the period of A. 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.
引用
收藏
页码：101 / 120
页数：20
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