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Smith Form of Triangular Multivariate Polynomial Matrix

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Abstract

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.

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Authors and Affiliations

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

    Jinwang Liu, Tao Wu & Dongmei Li

Authors
  1. Jinwang Liu
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  2. Tao Wu
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  3. Dongmei Li
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Corresponding authors

Correspondence to Jinwang Liu, Tao Wu or Dongmei Li.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant Nos. 11971161 and 11871207.

This paper was recommended for publication by Editor CHEN Shaoshi.

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Liu, J., Wu, T. & Li, D. Smith Form of Triangular Multivariate Polynomial Matrix. J Syst Sci Complex 36, 151–164 (2023). https://doi.org/10.1007/s11424-022-1289-z

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  • DOI: https://doi.org/10.1007/s11424-022-1289-z

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