• DocumentCode
    820599
  • Title

    Simplification of certain linear matrix equations

  • Author

    Barnett, Stephen

  • Author_Institution
    University of Bradford, Bradford, West Yorks, England
  • Volume
    21
  • Issue
    1
  • fYear
    1976
  • fDate
    2/1/1976 12:00:00 AM
  • Firstpage
    115
  • Lastpage
    116
  • Abstract
    It is shown that in solving the equation \\Sigma \\alpha _{ij}(A^{T})^{i}PA^{j} = Q for the symmetric matrix P the number of linear equations and unknowns call be reduced from frac{1}{2} n(n + 1) to frac{1}{2} n(n-1) by introducing a skew symmetric matrix. This generalizes earlier results for Lyapunov matrix equations.
  • Keywords
    Matrix equations; Equations; Linear systems; Stability; Symmetric matrices; Writing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1976.1101150
  • Filename
    1101150
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=820599