CONCAVE FUNCTIONS OF PARTITIONED MATRICES WITH NUMERICAL RANGES IN A SECTOR

被引：8
|
作者：
Hou, Lei [1 ]
Zhang, Dengpeng [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2017年 / 20卷 / 02期
基金：
美国国家科学基金会;
关键词：
Rotfel'd theorem; concave function; numerical range; accretive-dissipative matrix; ACCRETIVE-DISSIPATIVE MATRICES; DETERMINANTAL INEQUALITIES; EIGENVALUE INEQUALITIES; EXTENSION; CONVEX;
D O I：
10.7153/mia-20-40
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove two inequalities for concave functions and partitioned matrices whose numerical ranges in a sector. These complement some results of Zhang in [Linear Multilinear Algebra 63 (2015) 2511-2517].
引用
收藏
页码：583 / 589
页数：7
相关论文
共 50 条
  • [41] On the Elliptic Numerical Ranges of 4 x 4 Matrices
    Dong, Chuandai
    Fang, Hualing
    Liu, Xueting
    2009 2ND IEEE INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND INFORMATION TECHNOLOGY, VOL 4, 2009, : 413 - 416
  • [42] Companion matrices: reducibility, numerical ranges and similarity to contractions
    Gau, HL
    Pei, YW
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 383 : 127 - 142
  • [43] Numerical ranges of weighted shift matrices with periodic weights
    Tsai, Ming Cheng
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 435 (09) : 2296 - 2302
  • [44] The Normalized Numerical Ranges of 2 x 2 Matrices
    Gevorgyan, L. Z.
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2011, 46 (05): : 243 - 251
  • [45] New pairs of matrices with convex generalized numerical ranges
    Cheung, Wai-Shun
    LINEAR & MULTILINEAR ALGEBRA, 2017, 65 (10): : 1962 - 1970
  • [46] Proof of a conjecture on numerical ranges of weighted cyclic matrices
    Gau, Hwa-Long
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2024, 682 : 295 - 308
  • [47] Numerical ranges of companion matrices: flat portions on the boundary
    Eldred, Jeffrey
    Rodman, Leiba
    Spitkovsky, Ilya
    LINEAR & MULTILINEAR ALGEBRA, 2012, 60 (11-12): : 1295 - 1311
  • [48] The Elliptic Numerical Ranges of 4 x 4 Matrices
    Liu, Xueting
    Li, Hongkui
    2009 IITA INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS ENGINEERING, PROCEEDINGS, 2009, : 566 - +
  • [49] Equality of higher-rank numerical ranges of matrices
    Chang, Chi-Tung
    Gau, Hwa-Long
    Wang, Kuo-Zhong
    LINEAR & MULTILINEAR ALGEBRA, 2014, 62 (05): : 626 - 638
  • [50] Elliptic numerical ranges of 4 X 4 matrices
    Gau, HL
    TAIWANESE JOURNAL OF MATHEMATICS, 2006, 10 (01): : 117 - 128
12345