Singular Value Inequalities for Concave and Convex Functions of Matrix Sums and Products

被引:0
|
作者
Al-Natoor, Ahmad [1 ]
Alrimawi, Fadi [2 ]
机构
[1] Isra Univ, Dept Math, Amman, Jordan
[2] Al Ahliyya Amman Univ, Dept Basic Sci, Amman, Jordan
来源
关键词
Singular value; spectral norm; positive semidefinite matrix; concave function; convex function; inequality; control theory;
D O I
10.29020/nybg.ejpam.v18i1.5689
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we present several singular value inequalities for special types of functions of matrix sums and products. Some of special cases of our results give a generalization of some recent inequalities.
引用
收藏
页数:11
相关论文
共 50 条
  • [1] CONVEX AND CONCAVE FUNCTIONS OF SINGULAR VALUES OF MATRIX SUMS
    THOMPSON, RC
    PACIFIC JOURNAL OF MATHEMATICS, 1976, 66 (01) : 285 - 290
  • [2] Singular value inequalities for matrices related to convex and concave functions
    Ma, Shengyan
    Hu, Lihong
    Fu, Xiaohui
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2025, 2025 (01):
  • [3] Singular value inequalities involving convex and concave functions of positive semidefinite matrices
    Alrimawi, Fadi
    Hirzallah, Omar
    Kittaneh, Fuad
    ANNALS OF FUNCTIONAL ANALYSIS, 2020, 11 (04) : 1257 - 1273
  • [4] Singular value inequalities involving convex and concave functions of positive semidefinite matrices
    Fadi Alrimawi
    Omar Hirzallah
    Fuad Kittaneh
    Annals of Functional Analysis, 2020, 11 : 1257 - 1273
  • [5] SINGULAR VALUE INEQUALITIES OF MATRICES WITH CONCAVE FUNCTIONS
    Xu, Huan
    Yang, Junjian
    Ma, Shengyan
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2023, 17 (04): : 1471 - 1479
  • [6] Submajorisation inequalities for convex and concave functions of sums of measurable operators
    Dodds, Peter G.
    Sukochev, Fyodor A.
    POSITIVITY, 2009, 13 (01) : 107 - 124
  • [7] Submajorisation inequalities for convex and concave functions of sums of measurable operators
    Peter G. Dodds
    Fyodor A. Sukochev
    Positivity, 2009, 13 : 107 - 124
  • [8] SINGULAR VALUE INEQUALITIES FOR MATRIX SUMS AND MINORS
    THOMPSON, RC
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1975, 11 (03) : 251 - 269
  • [9] Singular value and norm inequalities for products and sums of matrices
    Al-Natoor, Ahmad
    Hirzallah, Omar
    Kittaneh, Fuad
    PERIODICA MATHEMATICA HUNGARICA, 2024, 88 (01) : 204 - 217
  • [10] Singular value and norm inequalities for products and sums of matrices
    Ahmad Al-Natoor
    Omar Hirzallah
    Fuad Kittaneh
    Periodica Mathematica Hungarica, 2024, 88 : 204 - 217