A fast algorithm for solving circulant tensor systems | |
Xie, Ze-Jia1; Jin, Xiao-Qing1![]() | |
2017 | |
Source Publication | LINEAR & MULTILINEAR ALGEBRA
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ISSN | 0308-1087 |
Volume | 65Issue:9Pages:1894-1904 |
Abstract | A newdefinition for circulant tensors is given, which is a generalization of the one for circulant matrices. Furthermore, we define the generalized circulant tensors which can be diagonalized by the Fourier matrix F and/ or F*. We also consider solving the circulant tensor systems by a fast algorithm based on the fast Fourier transform (FFT). Such algorithm is similar to that for circulant linear systems and it can also be performed in O(n log n). |
Keyword | Tensor System Circulant Tensor Generalized Circulant Tensor Fast Algorithm |
DOI | 10.1080/03081087.2016.1265060 |
URL | View the original |
Indexed By | SCI |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics |
WOS ID | WOS:000400764700013 |
Publisher | TAYLOR & FRANCIS LTD |
The Source to Article | WOS |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF MATHEMATICS |
Corresponding Author | Wei, Yi-Min |
Affiliation | 1.Department of Mathematics, University of Macau 2.School of Mathematical Sciences and Shanghai Key Laboratory of Contemporary Applied Mathematics |
First Author Affilication | University of Macau |
Recommended Citation GB/T 7714 | Xie, Ze-Jia,Jin, Xiao-Qing,Wei, Yi-Min. A fast algorithm for solving circulant tensor systems[J]. LINEAR & MULTILINEAR ALGEBRA,2017,65(9):1894-1904. |
APA | Xie, Ze-Jia,Jin, Xiao-Qing,&Wei, Yi-Min.(2017).A fast algorithm for solving circulant tensor systems.LINEAR & MULTILINEAR ALGEBRA,65(9),1894-1904. |
MLA | Xie, Ze-Jia,et al."A fast algorithm for solving circulant tensor systems".LINEAR & MULTILINEAR ALGEBRA 65.9(2017):1894-1904. |
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