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 4Ã4 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
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