• DocumentCode
    5013
  • Title

    The Lin-Bose Problem

  • Author

    Jinwang Liu ; Dongmei Li ; Licui Zheng

  • Author_Institution
    Dept. of Math. & Comput. Sci., Hunan Univ. of Sci. & Technol., Xiangtan, China
  • Volume
    61
  • Issue
    1
  • fYear
    2014
  • fDate
    Jan. 2014
  • Firstpage
    41
  • Lastpage
    43
  • Abstract
    This brief studies prime factorization problems of a multivariate polynomial matrix. We mainly investigate the Lin-Bose problem proposed by Lin and Bose in the multidimensional system theory context. A simple proof to the Lin-Bose problem is presented in a much easier way to understand. As a by-product, we obtain some properties on modules generated by all the rows of a matrix.
  • Keywords
    matrix decomposition; polynomial matrices; Lin-Bose problem; multidimensional system theory; multivariate polynomial matrix; prime factorization problems; Bismuth; Educational institutions; Linear algebra; Multidimensional systems; Polynomials; Factor prime matrix; matrix factorization; multidimensional systems; n-D polynomial matrix; polynomial ring;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems II: Express Briefs, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1549-7747
  • Type

    jour

  • DOI
    10.1109/TCSII.2013.2291060
  • Filename
    6678064