• DocumentCode
    1003808
  • Title

    Remarks on n -D Polynomial Matrix Factorization Problems

  • Author

    Wang, Mingsheng

  • Author_Institution
    Chinese Acad. of Sci., Beijing
  • Volume
    55
  • Issue
    1
  • fYear
    2008
  • Firstpage
    61
  • Lastpage
    64
  • Abstract
    Multidimensional (n-D) polynomial matrix factorizations are intimately linked to many problems of multidimensional systems and signal processing. This paper gives a new result for a n-D polynomial matrix to have an minor prime factorization using methods from computer algebra. This result may be regarded as a generalization of a previous criterion under a special restriction [IEEE Trans. Circuits Syst. II: Exp Briefs, vol. 52, no. 9 (2005)]. Examples are given to illustrate results using computer algebra software system Singular.
  • Keywords
    matrix decomposition; multidimensional systems; process algebra; computer algebra; minor prime factorization; multidimensional systems; n-D polynomial matrix factorizations; signal processing; Algebra; Circuits; Materials requirements planning; Modules (abstract algebra); Polynomials; $n$-D polynomial matrices; Matrix factorizations; minor primeness; multidimensional ($n$-D) systems; 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.2007.909866
  • Filename
    4400113
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1003808