EIGENVECTORS OF CIRCULANT MATRICES OF PRIME DIMENSION

被引:2
|
作者
LAZARUS, AJ
机构
[1] Berkeley, CA 94705
关键词
D O I
10.1016/0024-3795(93)00234-Q
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note we show that the eigenvectors of circulant matrices of prime dimension can be expressed succinctly in the notation of classical cyclotomy.
引用
收藏
页码:111 / 116
页数:6
相关论文
共 50 条
  • [1] On the eigenvectors of generalized circulant matrices
    Andrade, Enide
    Carrasco-Olivera, Dante
    Manzaneda, Cristina
    LINEAR & MULTILINEAR ALGEBRA, 2024, 72 (16): : 2639 - 2652
  • [2] On prime factors of determinants of circulant matrices
    Sburlati, Giovanni
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (01) : 100 - 106
  • [3] On a kind of circulant matrices with their order being a prime power
    Beijing Youdian Xueyuan Xuebao, 1 (7-11):
  • [4] On the WL-dimension of circulant graphs of prime power order
    Ponomarenko, Ilia
    ALGEBRAIC COMBINATORICS, 2023, 6 (06): : 1469 - 1490
  • [5] The Birkhoff theorem for unitary matrices of prime dimension
    De Vos, Alexis
    De Baerdemacker, Stijn
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 493 : 455 - 468
  • [6] The Birkhoff theorem for unitary matrices of prime-power dimension
    De Vos, Alexis
    De Baerdemacker, Stijn
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 578 : 27 - 52
  • [7] EIGENVECTORS OF JACOBIAN MATRICES
    AUDIN, M
    ANNALES DE L INSTITUT FOURIER, 1994, 44 (05) : 1505 - 1517
  • [8] On the eigenvectors of Toeplitz matrices
    Ikramov K.D.
    Moscow University Computational Mathematics and Cybernetics, 2015, 39 (2) : 72 - 75
  • [9] EIGENVECTORS OF TRANSPOSED MATRICES
    CARLSON, D
    AMERICAN MATHEMATICAL MONTHLY, 1969, 76 (03): : 314 - &
  • [10] On circulant and two-circulant weighing matrices
    Arasu, K. T.
    Kotsireas, I. S.
    Koukouvinos, C.
    Seberry, Jennifer
    AUSTRALASIAN JOURNAL OF COMBINATORICS, 2010, 48 : 43 - 51