DocumentCode :
2832483
Title :
On the Kippenhahn Curves of Kronecker Products
Author :
Liu, Xueting ; Li, Hongkui
Author_Institution :
Sch. of Electr. & Electron. Eng., Shandong Univ. of Technol., Zibo, China
fYear :
2009
fDate :
11-12 July 2009
Firstpage :
562
Lastpage :
565
Abstract :
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 4times4 reducible companion matrices. We study the property of the Kippenhahn curve CR(C) and of the numerical rang W(A) being an elliptic disc by making use of matrices Kronecker product and the Kippenhahn curve CR(C) continuely.
Keywords :
computational complexity; elliptic equations; mathematical operators; matrix algebra; Kippenhahn curves; Kronecker products; elliptic disc; linear equations; numerical rang; reducible companion matrices; Automatic control; Automation; Chromium; Control systems; Educational institutions; Equations; Stacking; Systems engineering and theory; Vectors; Companion matrix; Kronecker product; elliptic disc;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control, Automation and Systems Engineering, 2009. CASE 2009. IITA International Conference on
Conference_Location :
Zhangjiajie
Print_ISBN :
978-0-7695-3728-3
Type :
conf
DOI :
10.1109/CASE.2009.150
Filename :
5194516
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2832483
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