Norm inequalities related to the matrix geometric mean

被引:42
|
作者
Bhatia, Rajendra [1 ]
Grover, Priyanka [1 ]
机构
[1] Indian Stat Inst, Delhi Ctr, New Delhi 110016, India
关键词
Matrix inequalities; Geometric mean; Binomial mean; Log Euclidean mean; Golden-Thompson inequality; Positive definite matrices;
D O I
10.1016/j.laa.2012.03.001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Inequalities for norms of different versions of the geometric mean of two positive definite matrices are presented. (c) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码:726 / 733
页数:8
相关论文
共 50 条
  • [41] Two Sharp Inequalities for Power Mean, Geometric Mean, and Harmonic Mean
    Yu-Ming Chu
    Wei-Feng Xia
    Journal of Inequalities and Applications, 2009
  • [42] Monotonicity of the matrix geometric mean
    Rajendra Bhatia
    Rajeeva L. Karandikar
    Mathematische Annalen, 2012, 353 : 1453 - 1467
  • [43] Monotonicity of the matrix geometric mean
    Bhatia, Rajendra
    Karandikar, Rajeeva L.
    MATHEMATISCHE ANNALEN, 2012, 353 (04) : 1453 - 1467
  • [44] Weighted norm inequalities for geometric fractional maximal operators
    David Cruz-Uribe
    C. J. Neugebauer
    V. Olesen
    Journal of Fourier Analysis and Applications, 1999, 5 : 45 - 66
  • [45] A geometric approach to inequalities for the Hilbert-Schmidt norm
    Zamani, Ali
    FILOMAT, 2023, 37 (30) : 10435 - 10444
  • [46] Weighted norm inequalities for geometric fractional maximal operators
    Cruz-Uribe, D
    Neugebauer, CJ
    Olesen, V
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 1999, 5 (01) : 45 - 66
  • [47] Inequalities on the spectral radius, operator norm and numerical radius of the Hadamard weighted geometric mean of positive kernel operators
    Peperko, Aljosa
    LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (08): : 1637 - 1652
  • [48] Norm inequalities related to the Heinz means
    Fugen Gao
    Xuedi Ma
    Journal of Inequalities and Applications, 2018
  • [49] Geometric entities related by inequalities
    Udriste, Constantin
    Cioroboiu, Dragos
    MATHEMATICAL METHODS, COMPUTATIONAL TECHNIQUES, NON-LINEAR SYSTEMS, INTELLIGENT SYSTEMS, 2008, : 214 - +
  • [50] Norm inequalities related to the Heinz means
    Gao, Fugen
    Ma, Xuedi
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,