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A fast algorithm for solving circulant tensor systems
Xie, Ze-Jia1; Jin, Xiao-Qing1; Wei, Yi-Min2
2017
Source PublicationLINEAR & MULTILINEAR ALGEBRA
ISSN0308-1087
Volume65Issue: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).

KeywordTensor System Circulant Tensor Generalized Circulant Tensor Fast Algorithm
DOI10.1080/03081087.2016.1265060
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000400764700013
PublisherTAYLOR & FRANCIS LTD
The Source to ArticleWOS
Fulltext Access
Citation statistics
Cited Times [WOS]:7   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorWei, Yi-Min
Affiliation1.Department of Mathematics, University of Macau
2.School of Mathematical Sciences and Shanghai Key Laboratory of Contemporary Applied Mathematics
First Author AffilicationUniversity 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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