BOUNDS FOR THE EIGENVALUES OF MATRICES

被引：0
|
作者：
Zou, Limin [1 ]
Jiang, Youyi [1 ]
机构：
[1] Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404100, Peoples R China
来源：
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2014年 / 32期
关键词：
eigenvalues; Frobenius norm; trace; disk;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove that all the eigenvalues of arbitrarily complex matrix lies in a closed disk with the radius involving the sum of the squares of the absolute values of the eigenvalues. So, any known upper bound on this sum of squares yields a "new" eigenvalues inclusion region. As applications, some existing results are obtained or improved.
引用
收藏
页码：519 / 524
页数：6
相关论文
共 50 条
  • [21] IMPROVEMENT OF BOUNDS FOR EIGENVALUES OF SYMMETRIC TRIDIAGONAL MATRICES
    ALEFELD, G
    HERZBERG.J
    ANGEWANDTE INFORMATIK, 1974, (01): : 27 - 35
  • [22] Improving bounds for nonmaximal eigenvalues of positive matrices
    Walker, SG
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 397 : 133 - 139
  • [23] Bounds for the extremal eigenvalues of gain Laplacian matrices
    Kannan, M. Rajesh
    Kumar, Navish
    Pragada, Shivaramakrishna
    arXiv, 2021,
  • [24] Bounds for the extremal eigenvalues of gain Laplacian matrices
    Kannan, M. Rajesh
    Kumar, Navish
    Pragada, Shivaramakrishna
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 625 : 212 - 240
  • [25] ON BOUNDS FOR EIGENVALUES OF REAL SYMMETRIC-MATRICES
    BARNES, ER
    HOFFMAN, AJ
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1981, 40 (OCT) : 217 - 223
  • [26] Bounds for Eigenvalues of Arrowhead Matrices and Their Applications to Hub Matrices and Wireless Communications
    Lixin Shen
    Bruce W. Suter
    EURASIP Journal on Advances in Signal Processing, 2009
  • [27] Bounds for Eigenvalues of Arrowhead Matrices and Their Applications to Hub Matrices and Wireless Communications
    Shen, Lixin
    Suter, Bruce W.
    EURASIP JOURNAL ON ADVANCES IN SIGNAL PROCESSING, 2009,
  • [28] Distribution of Eigenvalues and Upper Bounds of the Spread of Interval Matrices
    Liao, Wenshi
    Long, Pujun
    MATHEMATICS, 2023, 11 (19)
  • [29] Multiplicative relative perturbation bounds of eigenvalues for diagonalizable matrices
    Chen, Jianxin
    Luo, Weiqi
    Pang, Sulin
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2011, 88 (14) : 3061 - 3068
  • [30] COMPARISON OF SOME BOUNDS FOR NONTRIVIAL EIGENVALUES OF STOCHASTIC MATRICES
    ZENGER, C
    NUMERISCHE MATHEMATIK, 1972, 19 (03) : 209 - &
12345