Sign idempotent sign pattern matrices that allow idempotence

被引：1
|
作者：
Lee, Sang-Gu [1 ]
Park, Jin-Woo [2 ]
机构：
[1] Sungkyunkwan Univ, Dept Math, Suwon, Gyeonggi Do, South Korea
[2] Daegu Univ, Dept Math Educ, Gyeongsangbuk Do 712714, South Korea
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2015年 / 487卷
关键词：
Sign pattern matrices; Idempotence; Allow;
D O I：
10.1016/j.laa.2015.09.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is well known that not all sign idempotent sign pattern matrices allow idempotence. In this paper, we found a necessary and sufficient condition for a sign idempotent sign pattern matrix to allow idempotence. In addition, we investigated the nonnegativity of sign idempotent sign pattern matrices that allow idempotence. Finally, we show that if A is a sign idempotent sign pattern matrix, then A allows idempotence if and only if vertical bar A vertical bar = [vertical bar a(ij)vertical bar] also allows idempotence. (C) 2015 Elsevier Inc. All rights reserved.
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页码：232 / 241
页数：10
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