• DocumentCode
    825197
  • Title

    The numerical solution of A\´Q+QA = -C

  • Author

    Hoskins, W.D. ; Meek, D.S. ; Walton, D.J.

  • Author_Institution
    University of Manitoba, Winnipeg, Canada
  • Volume
    22
  • Issue
    5
  • fYear
    1977
  • fDate
    10/1/1977 12:00:00 AM
  • Firstpage
    882
  • Lastpage
    883
  • Abstract
    A rapidly convergent algorithm is given which will solve A\´Q + QA = -C for Q when A is a stable matrix. The algorithm proposed requires only 4n^{2} words of memory (for large n ) and converges in approximately 17n^{3} \\mu s where μ is the multiplication time of the computer and n is the order of the matrix A .
  • Keywords
    Lyapunov matrix equations; Acceleration; Application software; Computer science; Convergence; Differential equations; Eigenvalues and eigenfunctions; Image converters; Notice of Violation; Partial differential equations; Poisson equations;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1977.1101627
  • Filename
    1101627