The off-diagonal block of a PPT matrix

被引：17
|
作者：
Lee, Eun-Young [1 ]
机构：
[1] Kyungpook Natl Univ, Dept Math, KNU Ctr Nonlinear Dynam, Taegu 702701, South Korea
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2015年 / 486卷
基金：
新加坡国家研究基金会;
关键词：
Positive definite matrices; Positive partial transpose; Eigenvalue inequalities; Matrix geometric mean; INEQUALITIES; MAJORIZATION;
D O I：
10.1016/j.laa.2015.08.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give an operator inequality involving the off-diagonal block of a positive partial transpose matrix and the geometric mean of its diagonal blocks. Some new eigenvalue inequalities are derived, nicely completing the existing ones. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：449 / 453
页数：5
相关论文
共 50 条
  • [1] Factorization of block triangular matrix functions with off-diagonal binomials
    van der Mee, CVM
    Rodman, L
    Spitkovsky, IM
    [J]. RECENT ADVANCES IN OPERATOR THEORY AND ITS APPLICATIONS: THE ISRAEL GOHBERG ANNIVERSARY VOLUME, 2005, 160 : 425 - 439
  • [2] Inequalities on the singular values of an off-diagonal block of a Hermitian matrix
    Li, CK
    Mathias, R
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 1999, 3 (02): : 137 - 142
  • [3] On some essential spectra of off-diagonal block operator matrix with application
    He, Ruxia
    Wu, Deyu
    [J]. ADVANCES IN OPERATOR THEORY, 2022, 7 (03)
  • [4] On some essential spectra of off-diagonal block operator matrix with application
    Ruxia He
    Deyu Wu
    [J]. Advances in Operator Theory, 2022, 7
  • [5] Off-diagonal submatrices of a Hermitian matrix
    Li, CK
    Poon, YT
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (10) : 2849 - 2856
  • [6] Off-diagonal symmetric nonnegative matrix factorization
    Moutier, Francois
    Vandaele, Arnaud
    Gillis, Nicolas
    [J]. NUMERICAL ALGORITHMS, 2021, 88 (02) : 939 - 963
  • [7] Direct calculation of off-diagonal matrix elements
    Killingbeck, J. P.
    Jolicard, G.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (11)
  • [8] Off-diagonal matrix elements in the semiclassical limit
    DeBievre, S
    Renaud, J
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (23): : L585 - L588
  • [9] OFF-DIAGONAL MATRIX ELEMENTS IN EHT METHOD
    CARBO, R
    [J]. ANALES DE FISICA, 1971, 67 (1-2): : 83 - &
  • [10] AN APPROXIMATION TO OFF-DIAGONAL REACTION MATRIX ELEMENTS
    SRIVASTAVA, MK
    [J]. NUCLEAR PHYSICS A, 1970, A144 (02) : 236 - +
12345