On the location of the eigenvalues of Jacobi matrices

被引：21
作者：
da Fonseca, C. M. [1 ]
机构：
[1] Univ Coimbra, Dept Matemat, P-3001454 Coimbra, Portugal
来源：
APPLIED MATHEMATICS LETTERS | 2006年 / 19卷 / 11期
关键词：
Jacobi matrix; eigenvalues; orthogonal polynomials;
D O I：
10.1016/j.aml.2005.11.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using some well known concepts on orthogonal polynomials, some recent results on the location of eigenvalues of tridiagonal matrices of very large order are extended. A significant number of important papers are unified. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1168 / 1174
页数：7
相关论文
共 50 条
  • [31] Darboux transformation of symmetric Jacobi matrices and Toda lattices
    Kovalyov, Ivan
    Levina, Oleksandra
    [J]. FRONTIERS IN APPLIED MATHEMATICS AND STATISTICS, 2024, 10
  • [32] Eigenvalues for the minors of Wigner matrices
    Huang, Jiaoyang
    [J]. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2022, 58 (04): : 2201 - 2215
  • [33] The Jacobi matrices approach to Nevanlinna-Pick problems
    Derevyagin, Maxim
    [J]. JOURNAL OF APPROXIMATION THEORY, 2011, 163 (02) : 117 - 142
  • [34] Estimates for eigenvalues of stochastic matrices
    Jia-li Zhou
    Min Wu
    Shu-you Zhang
    Guo-ping Yang
    [J]. Acta Mathematicae Applicatae Sinica, English Series, 2011, 27 : 503 - 508
  • [35] Estimation for eigenvalues of complex matrices
    Hu, Qinglong
    [J]. PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON APPLIED MATRIX THEORY, 2009, : 68 - 71
  • [36] Estimates for Eigenvalues of Stochastic Matrices
    Jia-li Zhou 1
    [J]. Acta Mathematicae Applicatae Sinica(English Series), 2011, 27 (03) : 503 - 508
  • [37] On the eigenvalues of double band matrices
    McMillen, Tyler
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 431 (10) : 1890 - 1897
  • [38] MATRICES WITH PRESCRIBED EIGENVALUES AND BLOCKS
    Cravo, Gloria
    [J]. JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2006, 6 (01): : 103 - 109
  • [39] EIGENVALUES OF CERTAIN SPARSE MATRICES
    Al-Ashhab, Saloom
    [J]. MATEMATICKI VESNIK, 2013, 65 (02): : 234 - 241
  • [40] Estimates for eigenvalues of stochastic matrices
    Zhou, Jia-li
    Wu, Min
    Zhang, Shu-you
    Yang, Guo-ping
    [J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2011, 27 (03): : 503 - 508
12345