Improved upper bounds or the real part of nonmaximal eigenvalues of nonnegative matrices

被引：6
|
作者：
Nabben, R [1 ]
机构：
[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany
来源：
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 2000年 / 22卷 / 02期
关键词：
nonnegative matrices; doubly stochastic matrices; nonmaximal eigenvalues; Cheeger-type bounds;
D O I：
10.1137/S0895479899367755
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we improve two upper bounds for the real part of nonmaximal eigenvalues of nonnegative irreducible matrices. We also improve an upper bound for the spectral radius of principal submatrices of nonnegative matrices.
引用
收藏
页码：574 / 579
页数：6
相关论文
共 50 条
  • [31] Bounds for the eigenvalues of matrices
    Zou, Limin
    Jiang, Youyi
    [J]. Italian Journal of Pure and Applied Mathematics, 2014, 32 : 519 - 524
  • [32] Verified Error Bounds for Real Eigenvalues of Real Symmetric and Persymmetric Matrices
    Li, Zhe
    Wang, Xueqing
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
  • [33] New upper bounds of eigenvalues modules sum of complex matrices
    Wu, Junliang
    Wang, Yong
    Kuang, Desheng
    [J]. PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPLICATIONS, VOL 3, 2009, : 21 - 23
  • [34] REAL EIGENVALUES OF NONNEGATIVE MATRICES WHICH COMMUTE WITH A SYMMETRIC MATRIX INVOLUTION
    WEAVER, JR
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1988, 110 : 243 - 253
  • [35] ON THE EIGENVALUES OF MATRICES WITH GIVEN UPPER-TRIANGULAR PART
    BALL, JA
    GOHBERG, I
    RODMAN, L
    SHALOM, T
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 1990, 13 (04) : 488 - 497
  • [36] Eigenvalues of matrices with given block upper triangular part
    Takahashi, K
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1996, 239 : 175 - 184
  • [37] NEW UPPER BOUNDS ON THE SPECTRAL RADIUS OF THE HADAMARD PRODUCT OF NONNEGATIVE MATRICES
    Sharma, Leena
    Badshah, V. H.
    Patel, H. K.
    [J]. JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2020, 48 (02): : 121 - 131
  • [38] New Inner Bounds for the Extreme Eigenvalues of Real Symmetric Matrices
    Singh, Pravin
    Singh, Shivani
    Singh, Virath
    [J]. IAENG International Journal of Applied Mathematics, 2024, 54 (05) : 871 - 876
  • [39] ON EIGENVALUES OF REAL SYMMETRIC INTERVAL MATRICES: SHARP BOUNDS AND DISJOINTNESS
    Farago, Gabor Zoltan
    Vajda, Robert
    [J]. ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2022, 38 : 803 - 819
  • [40] ESTIMATION FOR SUBDOMINANT EIGENVALUES OF NONNEGATIVE MATRICES
    SCHEFFOLD, E
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1978, 19 (01) : 91 - 93
12345