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

页码：504 / 523

页数：20

共 26 条

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