• DocumentCode
    856772
  • Title

    Fast and stable algorithms for computing the principal square root of a complex matrix

  • Author

    Shieh, Leang S. ; Lian, Sui R. ; McInnis, Bayliss C.

  • Author_Institution
    University of Houston, Houston, TX, USA
  • Volume
    32
  • Issue
    9
  • fYear
    1987
  • fDate
    9/1/1987 12:00:00 AM
  • Firstpage
    820
  • Lastpage
    822
  • Abstract
    This note presents recursive algorithms that are rapidly convergent and more stable for finding the principal square root of a complex matrix. Also, the developed algorithms are utilized to derive the fast and stable matrix sign algorithms which are useful in developing applications to control system problems.
  • Keywords
    Matrices; Recursive estimation; Square-rooting; Control systems; Convergence; Digital control; Eigenvalues and eigenfunctions; Large-scale systems; Matrix decomposition; Optimal control; Reduced order systems; Riccati equations; Stability;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1987.1104721
  • Filename
    1104721
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=856772