• DocumentCode
    850513
  • Title

    Eigenvalue bounds for the discrete Lyapunov matrix equation

  • Author

    Mori, Takayoshi ; Fukuma, Nono ; Kuwahara, Michiyoshi

  • Author_Institution
    Kyoto University, Gokasho, Uji, Japan
  • Volume
    30
  • Issue
    9
  • fYear
    1985
  • fDate
    9/1/1985 12:00:00 AM
  • Firstpage
    925
  • Lastpage
    926
  • Abstract
    Upper and lower bounds for every eigenvalue of the positive definite solution to the discrete Lyapunov matrix equation are provided. The obtained bounds have an advantage that they can give nontrivial lower bounds even when some existing results yield trivial ones.
  • Keywords
    Eigenvalues/eigenvectors; Lyapunov matrix equations; Computational efficiency; Computer errors; Convergence; Eigenvalues and eigenfunctions; Equations; Iterative algorithms; Iterative methods; Power generation economics; Power systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1985.1104092
  • Filename
    1104092