• DocumentCode
    2193611
  • Title

    Computation of matrix nth roots and the matrix sector function

  • Author

    Hasan, Mohammed A. ; Hasan, Ali A. ; Ejaz, Khaled B.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Minnesota Univ., Duluth, MN, USA
  • Volume
    5
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    4057
  • Abstract
    Several linear and higher order methods to compute nth roots of a given real or complex matrix are presented. These include Newton-like, subspace, and Krylov type methods. As a special case, the matrix sector function and other roots of an identity matrix are computed and shown to be an efficient numerical tool for computing a block eigen-decompsition of a given matrix
  • Keywords
    Newton method; eigenvalues and eigenfunctions; matrix algebra; Krylov type methods; Newton-like methods; block eigen-decompsition; complex matrix; higher order methods; linear methods; matrix sector function; nth roots; real matrix; subspace methods; Continuous time systems; Educational institutions; Eigenvalues and eigenfunctions; Iterative methods; Linear systems; Mathematical model; Mathematics; Matrix decomposition; Physics; Riccati equations;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
  • Conference_Location
    Orlando, FL
  • Print_ISBN
    0-7803-7061-9
  • Type

    conf

  • DOI
    10.1109/.2001.980812
  • Filename
    980812
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2193611