Embedding of Unimodular Row Vectors

Tao Wu, Jinwang Liu () and Jiancheng Guan
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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

Mathematics, 2023, vol. 11, issue 18, 1-9

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.

Keywords: ZLP polynomial matrix; unimodular vector; minimal syzygy module; fundamental solution system; embedding of ZLP polynomial matrix (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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