DocumentCode :
2770556
Title :
The Property of Kippenhahn Curves of Hadamard Products and Applications
Author :
Zhao, Guangyuan
Author_Institution :
Coll. of Comput. Sci. & Technol., Shandong Univ. of Technol., Zibo, China
Volume :
2
fYear :
2009
fDate :
13-15 Nov. 2009
Firstpage :
568
Lastpage :
571
Abstract :
In this paper, A and C will denote 4×4 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 CR (C ) consists of CR (A) consists of one ellipse whose foci are ¿1 = ¿3 = -a2/a¿2i, ¿2 = ¿4 = a2i/a¿2 and axis has a length r.
Keywords :
Hadamard matrices; numerical analysis; 4x4 reducible companion matrices; Hadamard products; Kippenhahn curves; Kronecker product; ellipse foci; numerical matrices rang; Application software; Chromium; Computer science; Educational institutions; Equations; Error correction; Error correction codes; Filtering theory; Nonlinear filters; Stochastic processes; Companion matrix; Hadamard product; Kronecker product; elliptic disc; numerical rang;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Computer Technology and Development, 2009. ICCTD '09. International Conference on
Conference_Location :
Kota Kinabalu
Print_ISBN :
978-0-7695-3892-1
Type :
conf
DOI :
10.1109/ICCTD.2009.219
Filename :
5360212
Link To Document :
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