NONPARALLEL FLAT PORTIONS ON THE BOUNDARIES OF NUMERICAL RANGES OF 4-BY-4 NILPOTENT MATRICES

被引：0
|
作者：
Cox, Mackenzie [1 ]
Grewe, Weston M. [1 ]
Hochrein, Grace K. [1 ]
Patton, Linda J. [1 ]
Spitkovsky, Ilya M. [2 ]
机构：
[1] Calif Polytech State Univ San Luis Obispo, Dept Math, San Luis Obispo, CA 93402 USA
[2] New York Univ Abu Dhabi NYUAD, Div Sci, POB 129188, Abu Dhabi, U Arab Emirates
来源：
ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2021年 / 37卷
关键词：
Numerical ranges; Nilpotent matrices;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The 4-by-4 nilpotent matrices whose numerical ranges have nonparallel flat portions on their boundary that are on lines equidistant from the origin are characterized. Their numerical ranges are always symmetric about a line through the origin and all possible angles between the lines containing the flat portions are attained.
引用
收藏
页码：504 / 523
页数：20
相关论文
共 26 条
  • [1] On some 4-by-4 matrices with bi-elliptical numerical ranges
    Geryba, Titas
    Spitkovsky, Ilya M.
    LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (05): : 855 - 870
  • [2] 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
  • [3] Flat portions on the boundary of the numerical ranges of certain Toeplitz matrices
    Chien, Mao-Ting
    Nakazato, Hiroshi
    LINEAR & MULTILINEAR ALGEBRA, 2008, 56 (1-2): : 143 - 162
  • [4] A family of 4-by-4 Fibonacci matrices
    Filipponi, P
    FIBONACCI QUARTERLY, 1997, 35 (04): : 300 - 308
  • [5] 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
  • [6] 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 - +
  • [7] Elliptic numerical ranges of 4 X 4 matrices
    Gau, HL
    TAIWANESE JOURNAL OF MATHEMATICS, 2006, 10 (01): : 117 - 128
  • [8] Elliptic modular invariants of 4-by-4 matrices
    Chien, Mao -Ting
    Nakazato, Hiroshi
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2023, 662 : 49 - 66
  • [9] Theta divisor and Abel map for 4-by-4 matrices
    Chien, Mao-Ting
    Nakazato, Hiroshi
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2023, 676 : 296 - 317
  • [10] Elliptic Numerical Ranges of 4x4 Matrices
    Li, Hongkui
    Liu, Xueting
    2009 ETP INTERNATIONAL CONFERENCE ON FUTURE COMPUTER AND COMMUNICATION (FCC 2009), 2009, : 190 - 193
123