DocumentCode
3106339
Title
Notice of Retraction
On the Kippenhahn Curves of Fan Product
Author
Daojin Song
Author_Institution
Sch. of Electr. & Electron. Eng., Shandong Univ. of Technol., Zibo, China
fYear
2009
fDate
13-14 Dec. 2009
Firstpage
331
Lastpage
334
Abstract
Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
The research of Kronecker sum, Kronecker product, and fan product of matrix has actual meaning and the theories meaning since a lot of problems can convert into the related calculation problems of the matrices fan product at the signal, picture processing and mathematics etc. On account of the wide application of Kronecker sum, Kronecker product and fan product in the solving process of sparse linear algebra equations, in this paper, let A and C be denoted 4 ?? 4 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 sum, Kronecker product and fan product and the Kippenhahn curve CR(C) continually.
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
The research of Kronecker sum, Kronecker product, and fan product of matrix has actual meaning and the theories meaning since a lot of problems can convert into the related calculation problems of the matrices fan product at the signal, picture processing and mathematics etc. On account of the wide application of Kronecker sum, Kronecker product and fan product in the solving process of sparse linear algebra equations, in this paper, let A and C be denoted 4 ?? 4 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 sum, Kronecker product and fan product and the Kippenhahn curve CR(C) continually.
Keywords
sparse matrices; Kippenhahn curve; Kronecker product; Kronecker sum; companion matrix; fan product; sparse linear algebra equation; Chromium; Equations; Image processing; Information technology; Linear algebra; Mathematics; Matrix converters; Signal processing; Sparse matrices; Sun; Companion matrix; Kronecker Sum; elliptic disc;
fLanguage
English
Publisher
ieee
Conference_Titel
Future Information Technology and Management Engineering, 2009. FITME '09. Second International Conference on
Conference_Location
Sanya
Print_ISBN
978-1-4244-5339-9
Type
conf
DOI
10.1109/FITME.2009.88
Filename
5380994
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