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
相关论文
共 13 条
[1]   Enhancing the Speed of the Learning Vector Quantization (LVQ) Algorithm by Adding Partial Distance Computation [J].
AbuAlghanam, Orieb ;
Adwan, Omar ;
Al Shariah, Mohammad A. ;
Qatawneh, Mohammad .
CYBERNETICS AND INFORMATION TECHNOLOGIES, 2022, 22 (02) :36-49
[2]  
Abualhaj MM, 2022, INT J ADV COMPUT SC, V13, P192
[3]  
Al-Natoor A., Eur. J. Pure Appl. Math.
[4]   Singular value and unitarily invariant norm inequalities for matrices [J].
Al-Natoor, Ahmad ;
Hirzallah, Omar ;
Kittaneh, Fuad .
ADVANCES IN OPERATOR THEORY, 2024, 9 (02)
[5]  
Al-Natoor A, 2025, ACTA SCI MATH, V91, P153, DOI 10.1007/s44146-024-00121-1
[6]   Singular value inequalities for convex functions of positive semidefinite matrices [J].
Al-Natoor, Ahmad ;
Hirzallah, Omar ;
Kittaneh, Fuad .
ANNALS OF FUNCTIONAL ANALYSIS, 2023, 14 (01)
[7]   Singular value and norm inequalities for positive semidefinite matrices [J].
Al-Natoor, Ahmad ;
Kittaneh, Fuad .
LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (19) :4498-4507
[8]   SINGULAR VALUE AND ARITHMETIC-GEOMETRIC MEAN INEQUALITIES FOR OPERATORS [J].
Albadawi, Hussien .
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 [J].
Alrimawi, Fadi ;
Hirzallah, Omar ;
Kittaneh, Fuad .
ANNALS OF FUNCTIONAL ANALYSIS, 2020, 11 (04) :1257-1273
12