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
  • [11] A NOTE ON INTERPOLATION BETWEEN THE ARITHMETIC-GEOMETRIC MEAN AND CAUCHY-SCHWARZ MATRIX NORM INEQUALITIES
    Zou, Limin
    Jiang, Youyi
    Journal of Mathematical Inequalities, 2016, 10 (04): : 1119 - 1122
  • [12] Some Refinements for the Arithmetic-Geometric Mean and Cauchy-Schwarz Matrix Norm Interpolating Inequalities
    Taghavi, Ali
    Roushan, Tahere Azimi
    Darvish, Vahid
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2018, 44 (04) : 927 - 936
  • [13] INEQUALITIES RELATED TO THE GEOMETRIC MEAN OF ACCRETIVE MATRICES
    Liu, Juntong
    Mei, Jin-Jin
    Zhang, Dengpeng
    OPERATORS AND MATRICES, 2021, 15 (02): : 581 - 587
  • [14] Norm inequalities for matrix geometric means of positive definite matrices
    Fujii, Jun Ichi
    Seo, Yuki
    Yamazaki, Takeaki
    LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (03): : 512 - 526
  • [15] Notes on matrix arithmetic-geometric mean inequalities
    Bhatia, R
    Kittaneh, F
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 308 (1-3) : 203 - 211
  • [16] Norm inequalities related to matrix commutators involving matrix functions
    Kan, Osman
    Solak, Suleyman
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (06)
  • [17] Some matrix inequalities related to norm and singular values
    Xiao, Xiaoyan
    Zhang, Feng
    Cao, Yuxin
    Zhang, Chunwen
    AIMS MATHEMATICS, 2024, 9 (02): : 4205 - 4210
  • [19] Operator inequalities related to the arithmetic–geometric mean inequality and characterizations
    Ameur Seddik
    Advances in Operator Theory, 2023, 8
  • [20] ASYMPTOTIC EXPANSION OF THE ARITHMETIC-GEOMETRIC MEAN AND RELATED INEQUALITIES
    Buric, Tomislav
    Elezovic, Neven
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2015, 9 (04): : 1181 - 1190