• DocumentCode
    532446
  • Title

    An iterative method for the least squares symmetric solutions of the generalized coupled Sylvester matrix equations

  • Author

    Li, Sheng-Kun

  • Author_Institution
    Coll. of Math., Chengdu Univ. of Inf. Technol., Chengdu, China
  • Volume
    6
  • fYear
    2010
  • fDate
    22-24 Oct. 2010
  • Abstract
    In this paper, an iterative method is proposed to solve the minimum Frobenius norm residual problem: min ∥AXB+CYD-E:MXN+GYH-F∥ with unknown symmetric matrices X and Y. By this method, its solutions can be obtained for any initial symmetric matrices X1 and Y1 in finite iterative steps. In addition, the least-norm solutions can also be obtained by choosing a special kind of initial symmetric matrices.
  • Keywords
    iterative methods; least squares approximations; matrix algebra; generalized coupled Sylvester matrix equations; initial symmetric matrices; iterative method; least squares symmetric solutions; least-norm solutions; minimum Frobenius norm residual problem; symmetric matrices; Artificial neural networks; generalized coupled Sylvester matrix equations; least squares symmetric solutions; least-norm solutions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Application and System Modeling (ICCASM), 2010 International Conference on
  • Conference_Location
    Taiyuan
  • Print_ISBN
    978-1-4244-7235-2
  • Electronic_ISBN
    978-1-4244-7237-6
  • Type

    conf

  • DOI
    10.1109/ICCASM.2010.5620550
  • Filename
    5620550
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=532446