• DocumentCode
    2770521
  • Title

    The Hermitian Positive Definite Solution of Nonlinear Matrix Equations

  • Author

    Zhao, Guangyuan

  • Author_Institution
    Coll. of Comput. Sci. & Technol., Shandong Univ. of Technol., Zibo, China
  • Volume
    2
  • fYear
    2009
  • fDate
    13-15 Nov. 2009
  • Firstpage
    561
  • Lastpage
    563
  • Abstract
    In this paper, we study the Hermitian positive definite solutions of the nonlinear matrix equation X + A* X-2 A = I . Suppose X is a Hermitian positive definite solution of this equation. We discuss the relation between X and A by the eigenvalue and eigenvector of X and A respectively.
  • Keywords
    Hermitian matrices; eigenvalues and eigenfunctions; nonlinear equations; Hermitian positive definite solution; eigenvalue; eigenvector; nonlinear matrix equations; Computer science; Educational institutions; Eigenvalues and eigenfunctions; Iterative algorithms; Iterative methods; Nonlinear equations; Sufficient conditions; Hermitian positive definite solutions; Numerical range; matrix equation; numerical radius;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Technology and Development, 2009. ICCTD '09. International Conference on
  • Conference_Location
    Kota Kinabalu
  • Print_ISBN
    978-0-7695-3892-1
  • Type

    conf

  • DOI
    10.1109/ICCTD.2009.217
  • Filename
    5360210
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2770521