On the Elliptic Numerical Ranges of 4 x 4 Matrices

被引：0
|
作者：
Dong, Chuandai [1 ]
Fang, Hualing [1 ]
Liu, Xueting [1 ]
机构：
[1] Shandong Univ Technol, Sch Elect & Elect Engn, Jinan 255049, Shandong, Peoples R China
来源：
2009 2ND IEEE INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND INFORMATION TECHNOLOGY, VOL 4 | 2009年
关键词：
Numerical range; Companion matrix; elliptic disc; Kronecker product; COMPANION MATRICES;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Let A be a n x n complex matrix associated with f (z)= z(n) + a(1)z(n-1) + ... + a(n-1)z + a(n), W(A) = {x* Ax : x is an element of C-n vertical bar vertical bar x vertical bar = 1} denotes the numerical range of A. In this paper, we discuss the properties of the Kippenhahn curve C-R(A) firstly, and then discuss the necessary condition of W(A) being an elliptic disc by means of the Kronecker product of matrices and the Kippenhahn curve C-R(A).
引用
收藏
页码：413 / 416
页数：4
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