• DocumentCode
    805820
  • Title

    Numerical solution of the matrix equation AX + XAT+ B = 0

  • Author

    Smith, Paul

  • Author_Institution
    Bellcomm, Inc., Washington, DC, USA
  • Volume
    16
  • Issue
    3
  • fYear
    1971
  • fDate
    6/1/1971 12:00:00 AM
  • Firstpage
    278
  • Lastpage
    279
  • Abstract
    A recursive algorithm is shown to solve the above equation accurately for large ( n \\leq 146 ), lightly damped ( \\zeta \\geq 10^{-3} ) systems. About 2.5n^{2} storage locations are required, and about 2.5n^{3} multiplications are performed per recursion, ten recursions being typical.
  • Keywords
    Matrix equations; Automatic control; Control systems; Eigenvalues and eigenfunctions; Equations; Space vehicles; Springs; Storage automation; Symmetric matrices; Testing; White noise;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1971.1099699
  • Filename
    1099699
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=805820