关于Kronecker产品的Kippenhahn曲线

2009 IITA International Conference on Control, Automation and Systems Engineering (case 2009) Pub Date : 2009-07-11 DOI:10.1109/CASE.2009.150

Xueting Liu, Hongkui Li

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引用次数: 0

摘要

在许多物理应用中，我们必须解一个线性方程组AXB=C。我们知道克罗内克积可以很方便地表示线性方程AXB=C。本文设A和C为4x4可约伴矩阵。利用矩阵Kronecker积和Kippenhahn曲线C_R(C)连续研究了Kippenhahn曲线C_R(C)和数值范围W(A)为椭圆盘的性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Kippenhahn Curves of Kronecker Products

In many physical applications, we must solve a system of linear equations AXB=C. We know that the Kronecker product can get a convenient representation for linear equations AXB=C. In this paper, let A and C be deoted 4x4 reducible companion matrices. We study the property of the Kippenhahn curve C_R(C) and of the numerical rang W(A) being an elliptic disc by making use of matrices Kronecker product and the Kippenhahn curve C_R(C) continuely .

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2009 IITA International Conference on Control, Automation and Systems Engineering (case 2009)

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