Equivalent of Multivariate Polynomial Matrix Article Swipe

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Jinwang Liu , Jiancheng Guan , Ying Kang ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2509.02574

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.

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2509.02574
PDF: https://arxiv.org/pdf/2509.02574
OA Status: green
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DOI: https://doi.org/10.48550/arxiv.2509.02574

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Title: Equivalent of Multivariate Polynomial Matrix

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Type: preprint

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Language: en

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Publication year: 2025

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Publication date: 2025-08-23

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Authors: Jinwang Liu, Jiancheng Guan, Ying Kang

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Landing page: https://arxiv.org/abs/2509.02574

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PDF URL: https://arxiv.org/pdf/2509.02574

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