• DocumentCode
    2669748
  • Title

    A strict inequality on spectral radius of nonnegative matrices and its probabilistic proof

  • Author

    Guohua, Dong ; Hangen, He ; Dewen, Hu

  • Author_Institution
    Coll. of Mechatron. & Autom., Nat. Univ. of Defense Technol., Changsha
  • fYear
    2008
  • fDate
    16-18 July 2008
  • Firstpage
    138
  • Lastpage
    140
  • Abstract
    Itpsilas a well known fact that rho(A)LtparAparinfin holds for any nonnegative and irreducible matrix. A probabilistic proof is proposed, together with a parallel corollary and an interesting interpretation.
  • Keywords
    matrix algebra; probability; theorem proving; nonnegative matrices; parallel corollary; probabilistic proof; spectral radius; strict inequality; Automation; Educational institutions; Helium; Linear matrix inequalities; Mechatronics; ∞-Norms; Irreducible; Nonnegative Matrices; Probabilistic Proof; Spectral Radius; Strict Inequality;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference, 2008. CCC 2008. 27th Chinese
  • Conference_Location
    Kunming
  • Print_ISBN
    978-7-900719-70-6
  • Electronic_ISBN
    978-7-900719-70-6
  • Type

    conf

  • DOI
    10.1109/CHICC.2008.4605719
  • Filename
    4605719