Please use this identifier to cite or link to this item:
https://doi.org/10.1080/03081087.2020.1726275
DC Field | Value | |
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dc.title | The Smith Form of A Multivariate Polynomial Matrix Over An Arbitrary Coefficient Field | |
dc.contributor.author | Dongmei Li | |
dc.contributor.author | Jinwang Liu | |
dc.contributor.author | Delin Chu | |
dc.date.accessioned | 2022-03-14T03:22:54Z | |
dc.date.available | 2022-03-14T03:22:54Z | |
dc.date.issued | 2020-02-06 | |
dc.identifier.citation | Dongmei Li, Jinwang Liu, Delin Chu (2020-02-06). The Smith Form of A Multivariate Polynomial Matrix Over An Arbitrary Coefficient Field. Linear and Multilinear Algebra 70 (02) : 366-379. ScholarBank@NUS Repository. https://doi.org/10.1080/03081087.2020.1726275 | |
dc.identifier.issn | 0308-1087 | |
dc.identifier.uri | https://scholarbank.nus.edu.sg/handle/10635/217041 | |
dc.description.abstract | The equivalence of multidimensional systems is closely related to the equivalence of multivariate polynomial matrices, for which the Smith form plays an important role. In this paper we study multivariate polynomial matrices with their entries in the polynomial ring K[z1,z2,…,zn], where K is an arbitrary field. We derive some new conditions on reducing these matrices to their Smith forms. These conditions can be verified by computing the reduced Gröbner bases of the associated ideals. | |
dc.publisher | Taylor & Francis | |
dc.source | Taylor & Francis | |
dc.subject | Multidimensional system | |
dc.subject | multivariate polynomial matrix | |
dc.subject | Smith form | |
dc.type | Article | |
dc.contributor.department | MATHEMATICS | |
dc.description.doi | 10.1080/03081087.2020.1726275 | |
dc.description.sourcetitle | Linear and Multilinear Algebra | |
dc.description.volume | 70 | |
dc.description.issue | 02 | |
dc.description.page | 366-379 | |
dc.published.state | Published | |
Appears in Collections: | Staff Publications Elements |
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