Positive block matrices and numerical ranges

被引：16

作者：

Bourin, Jean-Christophe ^{[1
]}

Mhanna, Antoine ^{[1
]}

机构：

[1] Univ Bourgogne Franche Comte, Lab Math Besancon, CNRS UMR 6623, 16 Route Gray, F-25030 Besancon, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2017年 / 355卷 / 10期

关键词：

NORM INEQUALITIES; OPERATORS;

D O I：

10.1016/j.crma.2017.10.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Any positive matrix Mpartitioned in four n-by-n blocks satisfies the unitarily invariant norm inequality parallel to M parallel to <= parallel to M1,1 + M2,2 + omega I parallel to, where omega is the width of the numerical range of M1,2. Some related inequalities and a reverse Lidskii majorization are given. (C) 2017 Academie des sciences. Published by Elsevier Masson SAS. This is an open access article under the CC BY-NC-ND license.

引用

页码：1077 / 1081

页数：5

共 50 条

[41] Symmetric perimeters of completely positive Boolean matrices and their preservers
Kang, Kyung-Tae
Song, Seok-Zun
Jun, Young Bae
LINEAR & MULTILINEAR ALGEBRA, 2025,
[42] Norm inequalities for positive semidefinite matrices and a question of Bourin
Hayajneh, Mostafa
Hayajneh, Saja
Kittaneh, Fuad
INTERNATIONAL JOURNAL OF MATHEMATICS, 2017, 28 (14)
[43] ADDITIVE PROPERTIES OF THE DRAZIN INVERSE FOR MATRICES AND BLOCK REPRESENTATIONS: A SURVEY
Visnjic, Jelena
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2022, 37 (02): : 417 - 437
[44] Lower bounds for matrices on block weighted sequence spaces I
Lashkaripour, R.
Foroutannia, D.
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2009, 59 (01) : 81 - 94
[45] Subdifferential set of the joint numerical radius of a tuple of matrices
Grover, Priyanka
Singla, Sushil
LINEAR & MULTILINEAR ALGEBRA, 2023, 71 (17) : 2709 - 2718
[46] Maps on positive definite matrices preserving Bregman and Jensen divergences
Molnar, Lajos
Pitrik, Jozsef
Virosztek, Daniel
LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 495 : 174 - 189
[47] Using Operators to Expand the Block Matrices Forming the Hessian of a Molecular Potential
Carlsen, Martin
JOURNAL OF COMPUTATIONAL CHEMISTRY, 2014, 35 (15) : 1149 - 1158
[48] Singular value inequalities for convex functions of positive semidefinite matrices
Al-Natoor, Ahmad
Hirzallah, Omar
Kittaneh, Fuad
ANNALS OF FUNCTIONAL ANALYSIS, 2023, 14 (01)
[49] INEQUALITIES RELATED TO 2x2 BLOCK PPT MATRICES
Lin, Minghua
OPERATORS AND MATRICES, 2015, 9 (04): : 917 - 924
[50] New Representations of the Group Inverse of 2 x 2 Block Matrices
Liu, Xiaoji
Yang, Qi
Jin, Hongwei
JOURNAL OF APPLIED MATHEMATICS, 2013,

← 1 2 3 4 5 →