The generalized inverses of tensors via the C-Product
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866916517202886656 |
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| author | Jin, Hongwei Xu, Shumin Jiang, Hongjie Liu, Xiaoji |
| author_facet | Jin, Hongwei Xu, Shumin Jiang, Hongjie Liu, Xiaoji |
| contents | This paper studies the issues about the generalized inverses of tensors under the C-Product. The aim of this paper is threefold. Firstly, this paper present the definition of the Moore-Penrose inverse, Drazin inverse of tensors under the C-Product. Moreover, the inverse along a tensor is also introduced. Secondly, this paper gives some other expressions of the generalized inverses of tensors by using several decomposition forms of tensors. Finally, the algorithms for the Moore-Penrose inverse, Drazin inverse of tensors and the inverse along a tensor are established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_02841 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The generalized inverses of tensors via the C-Product Jin, Hongwei Xu, Shumin Jiang, Hongjie Liu, Xiaoji Rings and Algebras This paper studies the issues about the generalized inverses of tensors under the C-Product. The aim of this paper is threefold. Firstly, this paper present the definition of the Moore-Penrose inverse, Drazin inverse of tensors under the C-Product. Moreover, the inverse along a tensor is also introduced. Secondly, this paper gives some other expressions of the generalized inverses of tensors by using several decomposition forms of tensors. Finally, the algorithms for the Moore-Penrose inverse, Drazin inverse of tensors and the inverse along a tensor are established. |
| title | The generalized inverses of tensors via the C-Product |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2211.02841 |