• DocumentCode
    817424
  • Title

    Generalization of Leverrier´s algorithm to polynomial matrices of arbitrary degree

  • Author

    Emre, Erol ; HÜseyin, Özay

  • Author_Institution
    Middle East Technical University, Ankara, Turkey
  • Volume
    20
  • Issue
    1
  • fYear
    1975
  • fDate
    2/1/1975 12:00:00 AM
  • Firstpage
    136
  • Lastpage
    136
  • Abstract
    Leverrier\´s algorithm to find the determinant of ( sI_{r}-A ) is generalized to the polynomial matrices of arbitrary degree which are in the form I_{r}s^{n} + H_{n-1}s^{n-1} + ... + H_{1}s + H_{0} .
  • Keywords
    Determinants; Algorithm design and analysis; Chaos; Circuits; Digital arithmetic; Digital filters; Equations; Hydrogen; Polynomials; Time domain analysis; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1975.1100833
  • Filename
    1100833