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
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2025年 / 18卷 / 01期
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
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共 13 条
  • [1] Enhancing the Speed of the Learning Vector Quantization (LVQ) Algorithm by Adding Partial Distance Computation
    AbuAlghanam, Orieb
    Adwan, Omar
    Al Shariah, Mohammad A.
    Qatawneh, Mohammad
    [J]. CYBERNETICS AND INFORMATION TECHNOLOGIES, 2022, 22 (02) : 36 - 49
  • [2] Abualhaj MM, 2022, INT J ADV COMPUT SC, V13, P192
  • [3] Al-Natoor A, 2024, ACTA SCI MATH, DOI 10.1007/s44146-024-00121-1
  • [4] Singular value and norm inequalities involving the numerical radii of matrices
    Al-Natoor, Ahmad
    Hirzallah, Omar
    Kittaneh, Fuad
    [J]. ANNALS OF FUNCTIONAL ANALYSIS, 2024, 15 (01)
  • [5] Singular value inequalities for convex functions of positive semidefinite matrices
    Al-Natoor, Ahmad
    Hirzallah, Omar
    Kittaneh, Fuad
    [J]. ANNALS OF FUNCTIONAL ANALYSIS, 2023, 14 (01)
  • [6] Singular value and norm inequalities for positive semidefinite matrices
    Al-Natoor, Ahmad
    Kittaneh, Fuad
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (19) : 4498 - 4507
  • [7] On weak graded rings II
    Al-Subaie, Najla
    Al-Shomrani, M. M.
    [J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, 12 (02): : 332 - 347
  • [8] SINGULAR VALUE AND ARITHMETIC-GEOMETRIC MEAN INEQUALITIES FOR OPERATORS
    Albadawi, Hussien
    [J]. ANNALS OF FUNCTIONAL ANALYSIS, 2012, 3 (01): : 10 - 18
  • [9] Alrimawi F, 2020, INT J MATH COMPUT SC, V15, P845
  • [10] Singular value inequalities involving convex and concave functions of positive semidefinite matrices
    Alrimawi, Fadi
    Hirzallah, Omar
    Kittaneh, Fuad
    [J]. ANNALS OF FUNCTIONAL ANALYSIS, 2020, 11 (04) : 1257 - 1273