Journal of Systems Science and Complexity

, Volume 31, Issue 6, pp 1647–1658 | Cite as

On Rank Factorizations and Factor Prime Factorizations for Multivariate Polynomial Matrices

  • Jiancheng Guan
  • Weiqing LiEmail author
  • Baiyu Ouyang


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.


Factor prime factorizations multivariate polynomial matrices rank factorizations 


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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China)Hunan Normal UniversityChangshaChina
  2. 2.Department of MathematicsXiangnan UniversityChenzhouChina

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