Note on the spectral radius of alternating sign matrices

被引:3
|
作者
Brualdi, Richard A. [1 ]
Cooper, Joshua [2 ]
机构
[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
[2] Univ S Carolina, Dept Math, Columbia, SC 29208 USA
关键词
Alternating sign matrix; ASM; Spectral radius;
D O I
10.1016/j.laa.2013.08.004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that the n x n so-called diamond alternating sign matrix D-n is the unique n x n alternating sign matrix with maximum spectral radius rho(n), and that lim(n ->infinity) rho(n)/n = 2/pi (C) 2013 Elsevier Inc. All rights reserved.
引用
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页码:99 / 105
页数:7
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