| Residential College | false |
| Status | 已發表Published |
| A Semi-Tensor Product of Tensors and Applications | |
Liu, Wei Hui1; Xie, Ze Jia2 ; Jin, Xiao Qing1
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| 2022-08 | |
| Source Publication | East Asian Journal on Applied Mathematics
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| ISSN | 2079-7362 |
| Volume | 12Issue:3Pages:696-714 |
| Abstract | A semi-tensor product of matrices is proposed as a generalization of usual matrix product in the case where the dimensions of two factor matrices do not match. The properties of the semi-tensor product of tensors and swap tensors based on the Einstein product are studied. Applications of this new tensor product in image restoration and in finite dimensional algebras are discussed. |
| Keyword | Einstein Product Kronecker Product Semi-tensor Product Swap Tensor Tensor |
| DOI | 10.4208/EAJAM.181120.050122 |
| URL | View the original |
| Indexed By | SCIE |
| Language | 英語English |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000785872700012 |
| Scopus ID | 2-s2.0-85129679703 |
| Fulltext Access | |
| Citation statistics | |
| Document Type | Journal article |
| Collection | DEPARTMENT OF MATHEMATICS |
| Corresponding Author | Xie, Ze Jia |
| Affiliation | 1.Department of Mathematics, University of Macau, Macao 2.Department of Mathematics, Shantou University, Shantou, China |
| First Author Affilication | University of Macau |
| Recommended Citation GB/T 7714 | Liu, Wei Hui,Xie, Ze Jia,Jin, Xiao Qing. A Semi-Tensor Product of Tensors and Applications[J]. East Asian Journal on Applied Mathematics, 2022, 12(3), 696-714. |
| APA | Liu, Wei Hui., Xie, Ze Jia., & Jin, Xiao Qing (2022). A Semi-Tensor Product of Tensors and Applications. East Asian Journal on Applied Mathematics, 12(3), 696-714. |
| MLA | Liu, Wei Hui,et al."A Semi-Tensor Product of Tensors and Applications".East Asian Journal on Applied Mathematics 12.3(2022):696-714. |
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