Spectral distribution of symmetrized circulant matrices

被引：0
作者：
Bourget, Alain [1 ]
机构：
[1] Calif State Univ Fullerton, Dept Math, Fullerton, CA 92834 USA
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2022年 / 65卷 / 02期
关键词：
Hankel matrices; circulant matrices; eigenvalues distribution;
D O I：
10.4153/S0008439521000394
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide a description of the spectrum and compute the eigenvalues distribution of circulant Hankel matrices obtained as symmetrization of classical Toeplitz circulant matrices. Other types of circulant matrices such as simple and Cesaro circulant matrices are also considered.
引用
收藏
页码：431 / 446
页数：16
相关论文
共 12 条
  • [1] On the spectrum of banded Hankel matrices
    Angerer, Wolfgang P.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (05) : 1496 - 1505
  • [2] Bottcher A., 2005, SPECTRAL PROPERTIES
  • [3] Spectral distribution of families of Hankel matrices
    Bourget, A.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 624 : 103 - 120
  • [4] Davis P., 2013, CIRCULANT MATRICES
  • [5] THE EIGENVALUE DISTRIBUTION OF SPECIAL 2-BY-2 BLOCK MATRIX-SEQUENCES WITH APPLICATIONS TO THE CASE OF SYMMETRIZED TOEPLITZ STRUCTURES
    Ferrari, Paola
    Furci, Isabella
    Hon, Sean
    Mursaleen, Mohammad Ayman
    Serra-Capizzano, Stefano
    [J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2019, 40 (03) : 1066 - 1086
  • [6] Toeplitz and Circulant Matrices: A Review
    Gray, Robert M.
    [J]. FOUNDATIONS AND TRENDS IN COMMUNICATIONS AND INFORMATION THEORY, 2006, 2 (03): : 155 - 239
  • [7] GRENANDER U., 1984, TOEPLITZ FORMS THEIR, V2nd
  • [8] A note on the spectral distribution of symmetrized Toeplitz sequences
    Hon, Sean
    Ayman-Mursaleen, Mohammad
    Serra-Capizzano, Stefano
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 579 : 32 - 50
  • [9] Horn R. A., 2013, Matrix analysis, V2nd
  • [10] Serra-Capizzano S., 2017, GEN LOCALLY TOEPLITZ, VI
12