On Serre Reduction of Multidimensional Systems Article Swipe

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Dongmei Li , Jinwang Liu , Licui Zheng ·

YOU? · · 2020 · Open Access · · DOI: https://doi.org/10.1155/2020/7435237

Serre reduction of a system plays a key role in the theory of Multidimensional systems, which has a close connection with Serre reduction of polynomial matrices. In this paper, we investigate the Serre reduction problem for two kinds of D polynomial matrices. Some new necessary and sufficient conditions about reducing these matrices to their Smith normal forms are obtained. These conditions can be easily checked by existing Gröbner basis algorithms of polynomial ideals.

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Reduction (mathematics) Polynomial Connection (principal bundle) Mathematics Key (lock) Basis (linear algebra) Algebra over a field Discrete mathematics Algorithm Pure mathematics Computer science Geometry Mathematical analysis Computer security

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Type: article
Language: en
Landing Page: http://doi.org/10.1155/2020/7435237
PDF: https://downloads.hindawi.com/journals/mpe/2020/7435237.pdf
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Cited By: 2
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DOI: https://doi.org/10.1155/2020/7435237

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Title: On Serre Reduction of Multidimensional Systems

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Language: en

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Publication year: 2020

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Publication date: 2020-04-11

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Authors: Dongmei Li, Jinwang Liu, Licui Zheng

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Concepts: Reduction (mathematics), Polynomial, Connection (principal bundle), Mathematics, Key (lock), Basis (linear algebra), Algebra over a field, Discrete mathematics, Algorithm, Pure mathematics, Computer science, Geometry, Mathematical analysis, Computer security

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abstract_inverted_index.xmlns:mml="http://www.w3.org/1998/Math/MathML"	40
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