• DocumentCode
    3501374
  • Title

    Some Properties of Generalized Tensor Bezoutian with Respect to a General Polynomial Basis

  • Author

    Wu, Huazhang ; Ma, Chao

  • Author_Institution
    Dept. of Math., Hefei Univ. of Technol., Hefei, China
  • Volume
    2
  • fYear
    2010
  • fDate
    23-24 Oct. 2010
  • Firstpage
    252
  • Lastpage
    256
  • Abstract
    In this note, the authors carry over the tensor Bezoutian for polynomial matrices to the case of a general polynomial basis. Some of important properties, such as the Barnett-type factorization, the expressions in terms of controllability- and observability-type matrices, and some intertwining relations with companion matrices and resultant matrices, are characterized.
  • Keywords
    controllability; matrix decomposition; observability; polynomial matrices; tensors; Barnett type factorization; companion matrix; controllability matrix; general polynomial basis; generalized tensor Bezoutian; observability type matrix; polynomial matrices; resultant matrix; Barnett-type factorization; Generalized Tensor Bezoutian; Sylvester resultant matrix; controllability/observability-type matrix; intertwining relation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Web Information Systems and Mining (WISM), 2010 International Conference on
  • Conference_Location
    Sanya
  • Print_ISBN
    978-1-4244-8438-6
  • Type

    conf

  • DOI
    10.1109/WISM.2010.164
  • Filename
    5662406