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
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2014年 / 442卷
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
收藏
页码：99 / 105
页数：7
相关论文
共 50 条
  • [41] OPTIMIZATION OF THE SPECTRAL RADIUS OF NONNEGATIVE MATRICES
    Neumann, Michael
    Sze, Nung-Sing
    OPERATORS AND MATRICES, 2007, 1 (04): : 593 - 601
  • [42] CALCULATION OF SPECTRAL RADIUS OF NONNEGATIVE MATRICES
    SCHULZENDORFF, B
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1978, 58 (07): : T443 - T444
  • [43] Bounds on the Spectral Radius of Nonnegative Matrices
    Babouklis, Fotis
    Adam, Maria
    Assimakis, Nicholas
    2ND INTERNATIONAL CONFERENCE ON MATHEMATICS AND COMPUTERS IN SCIENCE AND ENGINEERING (MACISE 2020), 2020, : 51 - +
  • [44] Some inequalities on the spectral radius of matrices
    Zhao, Linlin
    Liu, Qingbing
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [45] Some inequalities on the spectral radius of matrices
    Linlin Zhao
    Qingbing Liu
    Journal of Inequalities and Applications, 2018
  • [46] SPECTRAL RADIUS OF (O 1) MATRICES
    BRUALDI, RA
    AMERICAN MATHEMATICAL MONTHLY, 1967, 74 (05): : 606 - &
  • [47] Spectral radius and infinity norm of matrices
    Zheng, Baodong
    Wang, Liancheng
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 346 (01) : 243 - 250
  • [48] Preservers of spectral radius, numerical radius, or spectral norm of the sum on nonnegative matrices
    Li, Chi-Kwong
    Rodman, Leiba
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (07) : 1739 - 1761
  • [49] A short note on the ratio between sign-real and sign-complex spectral radius of a real square matrix
    Buenger, Florian
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 529 : 126 - 132
  • [50] A note on sign-nonsingular matrices
    Fiedler, M
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 408 : 14 - 18
12345