NUMERICAL RANGE AND POSITIVE BLOCK MATRICES

被引：3
|
作者：
Bourin, Jean-Christophe [1 ]
Lee, Eun-Young [2 ]
机构：
[1] Univ Bourgogne Franche Comte, CNRS, Lab Math Besancon, UMR 6623, Besancon, France
[2] Kyungpook Natl Univ, KNU Ctr Nonlinear Dynam, Dept Math, Daegu 702701, South Korea
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2021年 / 103卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
numerical range; partitioned matrices; norm inequalities; INEQUALITIES; RADIUS; NORM;
D O I：
10.1017/S0004972720000520
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain several norm and eigenvalue inequalities for positive matrices partitioned into four blocks. The results involve the numerical range W(X) of the off-diagonal block X, especially the distance d from 0 to W(X). A special consequence is an estimate, diamW([(A)(X*) (X)(B)]) - diamW(A + B/2) >= 2d, between the diameters of the numerical ranges for the full matrix and its partial trace.
引用
收藏
页码：69 / 77
页数：9
相关论文
共 50 条
  • [21] A norm inequality for positive block matrices
    Lin, Minghua
    COMPTES RENDUS MATHEMATIQUE, 2018, 356 (07) : 818 - 822
  • [22] Concave functions and positive block matrices
    Lee, Eun-Young
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2025, 712 : 49 - 58
  • [23] On EP matrices, partial isometry matrices and their numerical range
    Aghamollaei, Gholamreza
    Mortezaei, Mahdiyeh
    Nourollahi, Mohammad Ali
    QUAESTIONES MATHEMATICAE, 2024, 47 (03) : 537 - 550
  • [24] The numerical radius and positivity of block matrices
    Bhatia, Rajendra
    Jain, Tanvi
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2023, 656 : 463 - 482
  • [25] NUMERICAL RANGE OF MATRICES AND LEVINGERS THEOREM
    FIEDLER, M
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1995, 220 : 171 - 180
  • [26] A note on numerical range and product of matrices
    Cheng, Che-Man
    Gao, Yuan
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (07) : 3139 - 3143
  • [27] DGMRES and index numerical range of matrices
    Safarzadeh, Malihe
    Salemi, Abbas
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 335 : 349 - 360
  • [28] The joint numerical range of commuting matrices
    Lau, Pan-Shun
    Li, Chi-Kwong
    Poon, Yiu-Tung
    STUDIA MATHEMATICA, 2022, : 241 - 259
  • [29] The numerical range of products of normal matrices
    Drury, SW
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 288 (1-3) : 283 - 292
  • [30] Perturbation of the Numerical Range of Unitary Matrices
    Kukulski, Ryszard
    Lewandowska, Paulina
    Pawela, Lukasz
    COMPUTATIONAL SCIENCE - ICCS 2020, PT VI, 2020, 12142 : 627 - 637
12345