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Smith Form of Triangular Multivariate Polynomial Matrix

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文摘 The Smith form of a matrix plays an important role in the equivalence of matrix.It is known that some multivariate polynomial matrices are not equivalent to their Smith forms.In this paper,the authors investigate mainly the Smith forms of multivariate polynomial triangular matrices and testify two upper multivariate polynomial triangular matrices are equivalent to their Smith forms respectively.
来源 Journal of Systems Science and Complexity ,2023,36(1):151-164 【核心库】
DOI 10.1007/s11424-022-1289-z
关键词 Degree-Lexicographical order ; equivalence of matrix ; multidimensional system ; multivariate polynomial matrix ; Smith form
地址

School of Mathematics and Computing Sciences,Hunan University of Science and Technology, Xiangtan, 411201

语种 英文
文献类型 研究性论文
ISSN 1009-6124
学科 数学
基金 国家自然科学基金
文献收藏号 CSCD:7551069

参考文献 共 27 共2页

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引证文献 2

1 Chen Shaoshi Preface to the Special Topic on Computer Mathematics Journal of Systems Science and Complexity,2023,36(1):1-2
CSCD被引 0 次

2 Chen Zuo On the Zero Coprime Equivalence of Multivariate Polynomial Matrices Wuhan University Journal of Natural Sciences,2025,30(1):32-42
CSCD被引 0 次

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