Potentially nilpotent sign pattern matrices

被引：23

作者：

Eschenbach, CA ^{[1
]}

Li, ZS ^{[1
]}

机构：

[1] Georgia State Univ, Dept Math & Comp Sci, Atlanta, GA 30303 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1999年 / 299卷 / 1-3期

关键词：

potentially nilpotent; sign pattern matrices; allows nilpotence;

D O I：

10.1016/S0024-3795(99)00163-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A sign pattern is said to be potentially nilpotent if it allows nilpotence. In this paper, a number of qualitative necessary or sufficient conditions for a sign pattern to allow nilpotence are established. The sign patterns that allow nilpotence of index 2 are investigated. For orders up to 3, potentially nilpotent sign patterns are characterized. Potentially nilpotent tree sign patterns are also explored. (C) 1999 Elsevier Science Inc. All rights reserved.

引用

页码：81 / 99

页数：19

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