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Bivariate Polynomial Matrix and Smith Form

Author

Listed:
  • Licui Zheng

    (Department of Mathematics and Computing Sciences, Hunan University of Science and Technology, Xiangtan 411201, China)

  • Tao Wu

    (Department of Mathematics and Computing Sciences, Hunan University of Science and Technology, Xiangtan 411201, China)

  • Jinwang Liu

    (Department of Mathematics and Computing Sciences, Hunan University of Science and Technology, Xiangtan 411201, China)

Abstract

Matrix equivalence plays a pivotal role in multidimensional systems, which are typically represented by multivariate polynomial matrices. The Smith form of matrices is one of the important research topics in polynomial matrices. This article mainly investigates the Smith forms of several types of bivariate polynomial matrices and has successfully derived several necessary and sufficient conditions for matrix equivalence.

Suggested Citation

  • Licui Zheng & Tao Wu & Jinwang Liu, 2024. "Bivariate Polynomial Matrix and Smith Form," Mathematics, MDPI, vol. 12(6), pages 1-9, March.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:6:p:815-:d:1354584
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