A singular value inequality for Heinz means

被引:25
作者
Audenaert, Koenraad M. R. [1 ]
机构
[1] Univ London Imperial Coll Sci Technol & Med, Inst Math Sci, London SW7 2PG, England
基金
英国工程与自然科学研究理事会;
关键词
matrix inequality; singular value; matrix monotone function; matrix mean; MATRICES;
D O I
10.1016/j.laa.2006.10.006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove a matrix inequality for matrix monotone functions, and apply it to prove a singular value inequality for Heinz means recently conjectured by Zhan. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:279 / 283
页数:5
相关论文
共 50 条
  • [31] Extensions of singular value inequalities for sector matrices
    Wu, Xuesha
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, (51): : 551 - 559
  • [32] Singular value inclusion sets for rectangular tensors
    Zhao, Jianxing
    Li, Chaoqian
    LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (07) : 1333 - 1350
  • [33] On the Largest Singular Value/Eigenvalue of a Random Tensor
    Yang, Yuning
    FRONTIERS OF MATHEMATICS, 2023, 18 (06): : 1447 - 1458
  • [34] On the Largest Singular Value/Eigenvalue of a Random Tensor
    Yuning Yang
    Frontiers of Mathematics, 2023, 18 : 1447 - 1458
  • [35] On computing the minimum singular value of a tensor sum
    Ohashi, A.
    Sogabe, T.
    SPECIAL MATRICES, 2019, 7 (01): : 95 - 106
  • [36] Estimation of ∥A-1∥∞ and the smallest singular value
    Huang, Ting-Zhu
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (06) : 1075 - 1080
  • [37] ON CONVERGENCE OF THE DQDS ALGORITHM FOR SINGULAR VALUE COMPUTATION
    Aishima, Kensuke
    Matsuo, Takayasu
    Murota, Kazuo
    Sugihara, Masaaki
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2008, 30 (02) : 522 - 537
  • [38] The Weighted-singular Value Partial Ordering
    Liu, Xiaoji
    ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL 1: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 174 - 176
  • [39] More results on singular value inequalities of matrices
    Tao, Yunxing
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 416 (2-3) : 724 - 729
  • [40] Bilateral sampling randomized singular value decomposition
    Jiang, Hao
    Du, Peibing
    Sun, Tao
    Li, Housen
    Cheng, Lizhi
    Yang, Canqun
    2016 17TH INTERNATIONAL CONFERENCE ON PARALLEL AND DISTRIBUTED COMPUTING, APPLICATIONS AND TECHNOLOGIES (PDCAT), 2016, : 57 - 62