Equivalent of Multivariate Polynomial Matrix
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908515765846016 |
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| author | Liu, Jinwang Wu, Tao Guan, Jiancheng Kang, Ying |
| author_facet | Liu, Jinwang Wu, Tao Guan, Jiancheng Kang, Ying |
| contents | The equivalence of multidimensional systems is closely related to the reduction of multivariate polynomial matrices, with the Smith normal form of matrices playing a key role. So far, the problem of reducing multivariate polynomial matrices into Smith normal form has not been fully solved. This article investigates the Smith normal form of quasi weakly linear multivariate polynomial matrices. Breaking through previous limitations, providing sufficient and necessary conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02574 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equivalent of Multivariate Polynomial Matrix Liu, Jinwang Wu, Tao Guan, Jiancheng Kang, Ying Rings and Algebras Commutative Algebra The equivalence of multidimensional systems is closely related to the reduction of multivariate polynomial matrices, with the Smith normal form of matrices playing a key role. So far, the problem of reducing multivariate polynomial matrices into Smith normal form has not been fully solved. This article investigates the Smith normal form of quasi weakly linear multivariate polynomial matrices. Breaking through previous limitations, providing sufficient and necessary conditions. |
| title | Equivalent of Multivariate Polynomial Matrix |
| topic | Rings and Algebras Commutative Algebra |
| url | https://arxiv.org/abs/2509.02574 |