DocumentCode
2770626
Title
A Fast Algorithm for Evaluating the m-th Power of Level Circulant Matrices of Type
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
576
Lastpage
579
Abstract
It is well known that the circulant matrices are very important and special matrix. In recent years, various type of circulant matrices have been applied in such as signal dealing and oil exploration, and so on. In this paper, motivated by [Shen Guangxing (2004)], we give a fast algorithm for evaluating the m-th power of level-k(r1, r2, ···, rk)-circulant matrices of type (n1, n2, ···, nk). By [Shen Guangxing (2004)], and [Lu Chengbo (2004)], we can see the complexity of computation can reduce n times.
Keywords
computational complexity; matrix algebra; computation complexity; level circulant matrices; oil exploration; signal dealing; Computer science; Educational institutions; Eigenvalues and eigenfunctions; Petroleum; Sun;
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.2009.220
Filename
5360214
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