Title : 
About the kippenhahn curves of some kronecker products
         
        
            Author : 
Zhao, Wenling ; Song, Daojin
         
        
            Author_Institution : 
Coll. of Sci., Shandong Univ. of Technol., Zibo, China
         
        
        
        
        
        
        
            Abstract : 
The system of linear equations AtimesB = C has widely applications. The Kronecker product can get a convenient representation for linear equations AtimesB = C. Let A be 4 times 4 reducible companion matrix. In this paper, we study some properties of the Kippenhahn curve CR (C) and discuss whether the numerical rang W(A) is an elliptic disc by making use of matrices Kronecker product and the Kippenhahn curve CR(C).
         
        
            Keywords : 
matrix algebra; Kippenhahn curve; Kronecker product; companion matirx; elliptic disc; linear equation; Chromium; Communication system control; Control systems; Educational institutions; Equations; Technology management; Companion matrix; Kronecker product; elliptic disc;
         
        
        
        
            Conference_Titel : 
Computing, Communication, Control, and Management, 2009. CCCM 2009. ISECS International Colloquium on
         
        
            Conference_Location : 
Sanya
         
        
            Print_ISBN : 
978-1-4244-4247-8
         
        
        
            DOI : 
10.1109/CCCM.2009.5267910