INTEGER POWERS OF ANTI-BIDIAGONAL HANKEL MATRICES

被引：1
|
作者：
da Silva, Joao Lita [1 ]
机构：
[1] NOVA Univ Lisbon, Fac Sci & Technol, Dept Math & GeoBioTec, P-2829516 Quinta Da Torre, Caparica, Portugal
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2018年 / 49卷 / 01期
关键词：
Hankel matrices; anti-bidiagonal matrices; Chebyshev polynomials; TRIDIAGONAL MATRICES; LINEAR COMBINATION; ZEROS;
D O I：
10.1007/s13226-018-0256-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we derive a general expression for integer powers of real upper and lower anti-bidiagonal matrices with constant anti-diagonals using Chebyshev polynomials. An explicit formula for the inverse of these matrices is also provided.
引用
收藏
页码：87 / 98
页数：12
相关论文
共 50 条
  • [31] Positive Integer Powers of the Kronecker Sum of Two Tridiagonal Toeplitz Matrices
    Mezzar, Y.
    Belghaba, K.
    AZERBAIJAN JOURNAL OF MATHEMATICS, 2024, 14 (02): : 46 - 53
  • [32] Spectral characterizations and integer powers of tridiagonal 2-Toeplitz matrices
    Shams Solary, Maryam
    Serra-Capizzano, Stefano
    NUMERICAL ALGORITHMS, 2024,
  • [33] HANKEL MATRICES
    WIDOM, H
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 121 (01) : 1 - &
  • [34] Reduction of banded matrices to bidiagonal form
    Lang, B
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 : 155 - 158
  • [35] Bidiagonal Factorizations of Filbert and Lilbert Matrices
    Khiar, Yasmina
    Mainar, Esmeralda
    Pena, Juan Manuel
    Royo-Amondarain, Eduardo
    Rubio, Beatriz
    AXIOMS, 2024, 13 (04)
  • [36] Norm behavior of Jordan and bidiagonal matrices
    Kumar, G. Krishna
    Vivek, P. V.
    ADVANCES IN OPERATOR THEORY, 2024, 9 (04)
  • [37] Reduction of banded matrices to bidiagonal form
    Lang, B.
    Zeitschrift fuer Angewandte Mathematik und Mechanik, ZAMM, Applied Mathematics and Mechanics, 76 (Suppl 1):
  • [38] Classifying anti-commuting pairs of Toeplitz and Hankel matrices
    V. N. Chugunov
    Kh. D. Ikramov
    Doklady Mathematics, 2017, 96 : 468 - 471
  • [39] Description of Pairs of Anti-Commuting Toeplitz and Hankel Matrices
    Ikramov K.D.
    Chugunov V.N.
    Journal of Mathematical Sciences, 2018, 232 (6) : 848 - 891
  • [40] Spectral properties of anti-heptadiagonal persymmetric Hankel matrices
    da Silva, Joao Lita
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2020, 14 (04) : 1387 - 1420
12345