Some new bounds on the spectral radius of nonnegative matrices

被引：6
|
作者：
Adam, Maria [1 ]
Aggeli, Dimitra [1 ]
Aretaki, Aikaterini [1 ]
机构：
[1] Univ Thessaly, Dept Comp Sci & Biomed Informat, Volos, Greece
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 01期
关键词：
nonnegative matrix; spectral radius; row sum; 2-row sum; average 2-row sum; signless Laplacian matrix; SHARP BOUNDS; PERRON ROOT; ALGORITHM;
D O I：
10.3934/math.2020047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we determine some new bounds for the spectral radius of a nonnegative matrix with respect to a new defined quantity, which can be considered as an average of average 2-row sums. The new formulas extend previous results using the row sums and the average 2-row sums of a nonnegative matrix. We also characterize the equality cases of the bounds if the matrix is irreducible and we provide illustrative examples comparing with the existing bounds.
引用
收藏
页码：701 / 716
页数：16
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