Orthogonal Symmetric Toeplitz Matrices

被引:0
作者
Albrecht Böttcher
机构
[1] TU Chemnitz,Fakultät für Mathematik
来源
Complex Analysis and Operator Theory | 2008年 / 2卷
关键词
Primary 47B35; Secondary 15A18, 15A47; Toeplitz matrix; matrix power; orthogonal matrix; symmetric matrix; circulant; skew circulant; inverse eigenvalue problem;
D O I
暂无
中图分类号
学科分类号
摘要
We show that the number of orthogonal and symmetric Toeplitz matrices of a given order is finite and determine all these matrices. In this way we also obtain a description of the set of all symmetric Toeplitz matrices whose spectrum is a prescribed doubleton.
引用
收藏
页码:285 / 298
页数:13
相关论文
共 50 条
  • [21] Are the Eigenvalues of Banded Symmetric Toeplitz Matrices Known in Almost Closed Form?
    Ekstroem, Sven-Erik
    Garoni, Carlo
    Serra-Capizzano, Stefano
    EXPERIMENTAL MATHEMATICS, 2018, 27 (04) : 478 - 487
  • [22] Generalized Nested Sampling for Compression and Exact Recovery of Symmetric Toeplitz Matrices
    Qiao, Heng
    Pal, Piya
    2014 IEEE GLOBAL CONFERENCE ON SIGNAL AND INFORMATION PROCESSING (GLOBALSIP), 2014, : 443 - 447
  • [23] Centro-symmetric and centro-skewsymmetric Toeplitz matrices and Bezoutians
    Heinig, G
    Rost, K
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 343 : 195 - 209
  • [24] On the parametrization of classes of conjugate-normal Toeplitz matrices
    V. N. Chugunov
    Computational Mathematics and Mathematical Physics, 2012, 52 : 674 - 679
  • [25] Classification of real pairs of commuting Toeplitz and Hankel matrices
    Chugunov V.N.
    Ikramov K.D.
    Numerical Analysis and Applications, 2016, 9 (4) : 359 - 368
  • [26] On the parametrization of classes of conjugate-normal Toeplitz matrices
    Chugunov, V. N.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2012, 52 (05) : 674 - 679
  • [27] On skew-symmetric Toeplitz matrices over finite fields with periodicity conditions
    Price, Geoffrey L.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2022, 642 : 101 - 117
  • [28] On general self-orthogonal matrix-product codes associated with Toeplitz matrices
    Li, Yang
    Zhu, Shixin
    Martinez-Moro, Edgar
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2025, 17 (02): : 397 - 420
  • [29] Pascal matrices and Toeplitz matrices: Relations
    Tomeo, Venancio
    Torrano, Emilio
    COMPUTATIONAL AND MATHEMATICAL METHODS, 2020, 2 (06)
  • [30] Real square roots of matrices: differential properties in semi-simple, symmetric and orthogonal cases
    Dolcetti, Alberto
    Pertici, Donato
    RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA, 2020, 11 (02): : 315 - 333