Commutation conditions for Hankel matrices

被引:0
|
作者
V. I. Gel’fgat
机构
[1] NPO “ACMA”,
来源
Computational Mathematics and Mathematical Physics | 2011年 / 51卷
关键词
commutation; Hankel matrices; Toeplitz matrices; orbit; classification;
D O I
暂无
中图分类号
学科分类号
摘要
Commutation conditions for Hankel matrices are found. As a consequence, the classification of normal Hankel matrices given earlier by Kh.D. Ikramov and V.N. Chugunov is validated.
引用
收藏
页码:1102 / 1113
页数:11
相关论文
共 50 条
  • [41] The smallest eigenvalue of large Hankel matrices generated by a deformed Laguerre weight
    Zhu, Mengkun
    Emmart, Niall
    Chen, Yang
    Weems, Charles
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (09) : 3272 - 3288
  • [42] Total positivity and high relative accuracy for several classes of Hankel matrices
    Mainar, E.
    Pena, J. M.
    Rubio, B.
    NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2024, 31 (04)
  • [43] Dimension-free Concentration Bounds on Hankel Matrices for Spectral Learning
    Denis, Francois
    Gybels, Mattias
    Habrard, Amaury
    JOURNAL OF MACHINE LEARNING RESEARCH, 2016, 17
  • [44] THE SMALLEST EIGENVALUE OF LARGE HANKEL MATRICES ASSOCIATED WITH A SEMICLASSICAL LAGUERRE WEIGHT
    Wang, Dan
    Zhu, Mengkun
    Chen, Yang
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2024, 27 (01): : 53 - 62
  • [45] Deriving Known Particular Solutions of the σ-Commutation Problem (σ ≠ 0, ±1) for a Toeplitz and a Hankel Matrix within a Unified Approach
    V. N. Chugunov
    Kh. D. Ikramov
    Computational Mathematics and Mathematical Physics, 2024, 64 : 36 - 44
  • [46] THE SMALLEST EIGENVALUE OF LARGE HANKEL MATRICES ASSOCIATED WITH A SINGULARLY PERTURBED GAUSSIAN WEIGHT
    Wang, Dan
    Zhu, Mengkun
    Chen, Yang
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 150 (01) : 153 - 160
  • [47] The eigenvalues of a family of persymmetric anti-tridiagonal 2-Hankel matrices
    Akbulak, Mehmet
    da Fonseca, C. M.
    Yilmaz, Fatih
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 225 : 352 - 357
  • [48] Orthogonal diagonalization for complex skew-persymmetric anti-tridiagonal Hankel matrices
    Gutierrez-Gutierrez, Jesus
    Zarraga-Rodriguez, Marta
    SPECIAL MATRICES, 2016, 4 (01): : 73 - 79
  • [49] On the solutions of the equation AXB = C under Toeplitz-like and Hankel matrices constraint
    Yang, Juan
    Deng, Yuan-bei
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (05) : 2074 - 2094
  • [50] The Hankel pencil conjecture
    Kovacec, Alexander
    Gouveia, Maria Celeste
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 431 (09) : 1509 - 1525