Inequalities for the Kronecker product of matrices

被引:4
|
作者
Gueridi, Djihad [1 ]
Kittaneh, Fuad [1 ]
机构
[1] Univ Jordan, Dept Math, Amman, Jordan
关键词
Kronecker product; Kronecker sum; Positive semidefinite matrix; Commutator; Norm; Numerical radius; Spectral radius; Inequality; NORM INEQUALITIES; COMMUTATORS; SUMS;
D O I
10.1007/s43034-022-00191-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we give several inequalities for the Kronecker product of matrices involving the spectral norm, the Schatten p-norms, the numerical radius, and the spectral radius. An emphasis will be given to inequalities for commutators and anticommutators based on the Kronecker product of matrices.
引用
收藏
页数:17
相关论文
共 50 条
  • [1] Inequalities for the Kronecker product of matrices
    Djihad Gueridi
    Fuad Kittaneh
    Annals of Functional Analysis, 2022, 13
  • [2] EXTENDED KRONECKER PRODUCT OF MATRICES
    KUO, YE
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1976, 56 (02) : 346 - 350
  • [3] The Kronecker Product of Matrices with the Perron-Frobenius Property and the Kronecker Product of Generalized M-matrices
    Li, Yaotang
    Li, Chaoqian
    He, Junzhou
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2013, 37 (01) : 97 - 110
  • [4] Inequalities involving rank and Kronecker product
    Chapman, Robin
    AMERICAN MATHEMATICAL MONTHLY, 2006, 113 (09): : 851 - 851
  • [5] ASSOCIATION MATRICES AND KRONECKER PRODUCT OF DESIGNS
    SURENDRAN, PU
    ANNALS OF MATHEMATICAL STATISTICS, 1968, 39 (02): : 676 - +
  • [6] NUMERICAL RADIUS OF KRONECKER PRODUCT OF MATRICES
    Sababheh, Mohammad
    Moradi, Hamid Reza
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2023, 13 (05): : 2943 - 2954
  • [7] Defect of a Kronecker product of unitary matrices
    Tadej, Wojciech
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (07) : 1924 - 1959
  • [8] KRONECKER PRODUCT MATRICES FOR COMPRESSIVE SENSING
    Duarte, Marco F.
    Baraniuk, Richard G.
    2010 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, 2010, : 3650 - 3653
  • [9] The Lorentz group and the Kronecker product of matrices
    Larsson, Jonas
    Larsson, Karl
    EUROPEAN JOURNAL OF PHYSICS, 2022, 43 (02)
  • [10] Interpretations of Kronecker product and ordinal product of poset matrices
    Mohammad, Salah Uddin
    Talukder, Md Rashed
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2021, 16 (04): : 1665 - 1681