• DocumentCode
    2873089
  • Title

    The Hermitian Positive Definite Solution of Some Matrix Equations

  • Author

    Liu, Xuetting ; Wei, Peiyu

  • Author_Institution
    Sch. of Electr. & Electron. Eng., Shandong Univ. of Technol., Zibo, China
  • Volume
    2
  • fYear
    2009
  • fDate
    18-19 July 2009
  • Firstpage
    248
  • Lastpage
    251
  • Abstract
    In this paper, the Hermitian positive definite solutions of the nonlinear matrix equation X + A* X-2 A = I are studied. We discuss the relation between X and A by the eigenvalue and eigenvector of X and A respectively, and the property of numerical range of A . An iterative method for obtaining positive definite solutions of the equation is constructed.
  • Keywords
    Hermitian matrices; eigenvalues and eigenfunctions; nonlinear equations; Hermitian positive definite solution; eigenvalue; eigenvector; nonlinear matrix equation; Control theory; Eigenvalues and eigenfunctions; Image resolution; Image restoration; Image sequences; Information processing; Iterative methods; Nonlinear equations; Partial differential equations; Sufficient conditions; Hermitian positive definite solutions; iterative method; matrix equation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Processing, 2009. APCIP 2009. Asia-Pacific Conference on
  • Conference_Location
    Shenzhen
  • Print_ISBN
    978-0-7695-3699-6
  • Type

    conf

  • DOI
    10.1109/APCIP.2009.197
  • Filename
    5197182
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2873089