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Embedding of Unimodular Row Vectors

Author

Listed:
  • Tao Wu

    (School of Computer Science and Engineering, Hunan University of Science and Technology, Xiangtan 411201, China)

  • Jinwang Liu

    (School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, China)

  • Jiancheng Guan

    (School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, China)

Abstract

In this paper, we mainly study the embedding problem of unimodular row vectors, focusing on avoiding the identification of polynomial zeros. We investigate the existence of the minimal syzygy module of the ZLP polynomial matrix and demonstrate that the minimal syzygy module has structural properties that are similar to the fundamental solution system of homogeneous linear equations found in linear algebra. Finally, we provide several embedding methods for unimodular vectors in certain cases.

Suggested Citation

  • Tao Wu & Jinwang Liu & Jiancheng Guan, 2023. "Embedding of Unimodular Row Vectors," Mathematics, MDPI, vol. 11(18), pages 1-9, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3911-:d:1240003
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