A class of minimally spectrally arbitrary sign patterns

被引：0
|
作者：
Li, Xi [1 ]
Shao, Yanling [1 ]
Gao, Yubin [1 ]
机构：
[1] N Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China
来源：
ARS COMBINATORIA | 2012年 / 103卷
关键词：
Sign pattern; Potentially nilpotent; Spectrally arbitrary pattern;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A spectrally arbitrary pattern A is a sign pattern of order n such that every monic real polynomial of degree n can be achieved as the characteristic polynomial of a matrix with sign pattern A. A sign pattern A is minimally spectrally arbitrary if it is spectrally arbitrary but is not spectrally arbitrary if any nonzero entry (or entries) of A is replaced by zero. In this paper, we introduce some new sign patterns which are minimally spectrally arbitrary for all orders n >= 7.
引用
收藏
页码：311 / 319
页数：9
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