The Property of Kippenhahn Curves of Hadamard Products and Applications

Guangyuan Zhao
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引用次数: 2

Abstract

In this paper, and will denote reducible companion matrices. we combine the Kronecker product, Hadamard product with numerical rang of matrices, discuss the relations between the Kronecker product, Hadamard product with numerical rang of matrices, and illustrate that the kippenhahn curve consists of consists of one ellipse whose foci are and axis has a length .
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Hadamard积的Kippenhahn曲线的性质及其应用
在本文中,和表示可约伴矩阵。将Kronecker积、Hadamard积与矩阵的数值范围结合起来,讨论了Kronecker积、Hadamard积与矩阵的数值范围的关系,说明了kippenhahn曲线由一个椭圆组成,椭圆的焦点为,轴为长度。
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