On the Construction of Nonnegative 5x5 Matrices from Spectrum Data

被引：0
|
作者：
Liu, Zhibing [1 ]
Tu, Zhen [1 ]
Xu, Chengfeng [1 ]
机构：
[1] Jiujiang Univ, Coll Sci, Jiujiang, Peoples R China
来源：
ADVANCES IN COMPUTATIONAL MODELING AND SIMULATION, PTS 1 AND 2 | 2014年 / 444-445卷
关键词：
Nonnegative matrix; Nonnegative inverse eigenvalue problem; Spectrum;
D O I：
10.4028/www.scientific.net/AMM.0.621
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper studies the construction problems of five order nonnegative matrices from spectrum data. Let (sigma = (rho +/- ai,+/- bi)) be a list of complex numbers with (rho,a,b > 0) Necessary and sufficient conditions for the existence of an entry-wise nonnegative 5x5 matrix (A) with spectrum (sigma) are presented.
引用
收藏
页码：621 / 624
页数：4
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