DocumentCode :
3311191
Title :
On the elliptic numerical ranges of 4×4 matrices
Author :
Dong, Chuandai ; Fang, Hualing ; Liu, Xueting
Author_Institution :
Sch. of Electr. & Electron. Eng., Shandong Univ. of Technol., Zibo, China
fYear :
2009
fDate :
8-11 Aug. 2009
Firstpage :
413
Lastpage :
416
Abstract :
Let A be a ntimesn complex matrix associated with f(2)=zn+a1zn-1+...+an-1z+an, W(A)={x*Ax:xisinCn|x=1}denotes the numerical range of A . In this paper, we discuss the properties of the Kippenhahn curve CR(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 CR(A).
Keywords :
matrix algebra; Kippenhahn curve; Kronecker product; complex 4times4 matrix; elliptic numerical range; Chromium; Eigenvalues and eigenfunctions; Numerical analysis; Physics; Polynomials; Quantum mechanics; Companion matrix; Kronecker product; Numerical range; elliptic disc;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Computer Science and Information Technology, 2009. ICCSIT 2009. 2nd IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-4519-6
Electronic_ISBN :
978-1-4244-4520-2
Type :
conf
DOI :
10.1109/ICCSIT.2009.5234531
Filename :
5234531
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3311191
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