The absolute perturbation of the eigenvalues of matrices

被引:0
|
作者
Ren Yanping [1 ]
Yang Jin [1 ]
Zhang Jinfang [1 ]
机构
[1] Taiyuan Univ Technol, Coll Sci, Taiyuan 030024, Shanxi, Peoples R China
关键词
eigenvalue; upper bound of absolute perturbation; Schur triangular factorization; symmetrizable matrices;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A and B = A + E are two n x n matrices, Basing on Schur matrices decomposing and the normal deviation degree,we can make the special conditions of the matrix AB to the arbitrary matrix in [1] and obtain two new upper bounds of eigenvalue change of A and B ..
引用
收藏
页码:119 / 122
页数:4
相关论文
共 50 条
  • [41] On the eigenvalues of quaternion matrices
    Farid, F. O.
    Wang, Qing-Wen
    Zhang, Fuzhen
    LINEAR & MULTILINEAR ALGEBRA, 2011, 59 (04): : 451 - 473
  • [42] ON EIGENVALUES OF BANDED MATRICES
    Akhiiezer, O.
    Dunaievska, O.
    METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2019, 25 (02): : 98 - 103
  • [43] ON THE EIGENVALUES OF RANDOM MATRICES
    DIACONIS, P
    SHAHSHAHANI, M
    JOURNAL OF APPLIED PROBABILITY, 1994, 31A : 49 - 62
  • [44] On eigenvalues of rectangular matrices
    Shapiro, Boris
    Shapiro, Michael
    PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2009, 267 (01) : 248 - 255
  • [45] Perturbation bounds for positive definite matrices and it's P-relative distance of generalized Eigenvalues
    Zhan, Shilin
    ADVANCES IN MATRIX THEORY AND APPLICATIONS, 2006, : 186 - 189
  • [46] ON THE EIGENVALUES OF STOCHASTIC MATRICES
    MARQUES, MD
    DEOLIVEIRA, GN
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 121 : 579 - 582
  • [47] EIGENVALUES FOR INFINITE MATRICES
    SHIVAKUMAR, PN
    WILLIAMS, JJ
    RUDRAIAH, N
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1987, 96 : 35 - 63
  • [48] EIGENVALUES OF INFINITE MATRICES
    HANANI, H
    NETANYAH.E
    REICHAW, M
    COLLOQUIUM MATHEMATICUM, 1968, 19 (01) : 89 - &
  • [49] Inequalities for eigenvalues of matrices
    Xu, Xiaozeng
    He, Chuanjiang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [50] ON INEQUALITIES FOR EIGENVALUES OF MATRICES
    GIL, MI
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 184 : 201 - 206