Bounds via spectral radius-preserving row sum expansions

IF 0.7 4区 数学 Q2 Mathematics Electronic Journal of Linear Algebra Pub Date : 2022-02-25 DOI:10.13001/ela.2022.6981
Joseph P. Stover
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Abstract

We show a simple method for constructing larger dimension nonnegative matrices with somewhat arbitrary entries which can be irreducible or reducible but preserving the spectral radius via row sum expansions. This yields a sufficient criteria for two square nonnegative matrices of arbitrary dimension to have the same spectral radius, a way to compare spectral radii of two arbitrary square nonnegative matrices, and a way to derive new upper and lower bounds on the spectral radius which give the standard row sum bounds as a special case.
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通过保留谱半径的行和展开的边界
我们给出了一种构造具有一定任意项的大维非负矩阵的简单方法,该矩阵可以是不可约或可约的,但通过行和展开保持谱半径。这给出了两个任意维数的平方非负矩阵具有相同谱半径的充分准则,一种比较两个任意平方非负阵的谱半径的方法,以及一种导出谱半径新的上界和下界的方法,作为特例给出了标准行和界。
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来源期刊
CiteScore
1.20
自引率
14.30%
发文量
45
审稿时长
6-12 weeks
期刊介绍: The journal is essentially unlimited by size. Therefore, we have no restrictions on length of articles. Articles are submitted electronically. Refereeing of articles is conventional and of high standards. Posting of articles is immediate following acceptance, processing and final production approval.
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