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An optimal preconditioner for tensor equations involving Einstein product
Xie,Ze Jia1; Jin,Xiao Qing2; Sin,Vai Kuong3
2020-05-03
Source PublicationLinear and Multilinear Algebra
ISSN0308-1087
Volume68Issue:5Pages:886-902
Abstract

An optimal preconditioner for tensor equations involving the Einstein product is considered. This preconditioner actually is an approximation to any given tensor in some tensor subspaces such as the subspace of all circulant tensors. Numerical examples show that the optimal preconditioner is efficient for some Toeplitz tensor equations.

KeywordTensor Circulant Tensor Toeplitz Tensor Optimal Preconditioner Tensor Equation
DOI10.1080/03081087.2018.1520799
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000547111300002
PublisherTAYLOR & FRANCIS LTD, 2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND
Scopus ID2-s2.0-85053539804
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Citation statistics
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
DEPARTMENT OF ELECTROMECHANICAL ENGINEERING
Corresponding AuthorJin,Xiao Qing
Affiliation1.Department of Mathematics and Data Science,Dongguan University of Technology,Dongguan,China
2.Department of Mathematics, University of Macau, Macao, China
3.Department of Electromechanical Engineering,University of Macau,Macao
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Xie,Ze Jia,Jin,Xiao Qing,Sin,Vai Kuong. An optimal preconditioner for tensor equations involving Einstein product[J]. Linear and Multilinear Algebra, 2020, 68(5), 886-902.
APA Xie,Ze Jia., Jin,Xiao Qing., & Sin,Vai Kuong (2020). An optimal preconditioner for tensor equations involving Einstein product. Linear and Multilinear Algebra, 68(5), 886-902.
MLA Xie,Ze Jia,et al."An optimal preconditioner for tensor equations involving Einstein product".Linear and Multilinear Algebra 68.5(2020):886-902.
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