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On Rank Factorizations and Factor Prime Factorizations for Multivariate Polynomial Matrices

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Abstract

In this paper, rank factorizations and factor left prime factorizations are studied. The authors prove that any polynomial matrix with full row rank has factor left prime factorizations. And for a class of polynomial matrices, the authors give an algorithm to decide whether they have rank factorizations or factor left prime factorizations and compute these factorizations if they exist.

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China), Hunan Normal University, Changsha, 410081, China

    Jiancheng Guan & Baiyu Ouyang

  2. Department of Mathematics, Xiangnan University, Chenzhou, 423000, China

    Weiqing Li

Authors
  1. Jiancheng Guan
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  2. Weiqing Li
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  3. Baiyu Ouyang
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Corresponding author

Correspondence to Weiqing Li.

Additional information

This research was supported by the National Science Foundation of China under Grant Nos. 11371131 and 11501192.

This paper was recommended for publication by Editor-in-Chief GAO Xiao-Shan.

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Guan, J., Li, W. & Ouyang, B. On Rank Factorizations and Factor Prime Factorizations for Multivariate Polynomial Matrices. J Syst Sci Complex 31, 1647–1658 (2018). https://doi.org/10.1007/s11424-018-7446-8

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  • DOI: https://doi.org/10.1007/s11424-018-7446-8

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