• DocumentCode
    532450
  • Title

    Nonlinear computational methods of quadratic matrix equations

  • Author

    Lin, Xiao-Lin ; Li, Li

  • Author_Institution
    Fac. of Sci., Shaanxi Univ. Of Sci. & Technol., Xi´´an, China
  • Volume
    6
  • fYear
    2010
  • fDate
    22-24 Oct. 2010
  • Abstract
    Motivated by the multi-splitting methods, we present two nonlinear multi-splitting algorithms for solving the quadratic matrix equation (QME). Under suitable conditions we then respectively prove the local linear and quadratic convergence of the two algorithms. Some numerical results are given to show the feasibility and effectiveness of our algorithms.
  • Keywords
    convergence of numerical methods; matrix algebra; nonlinear equations; linear convergence; nonlinear computational methods; nonlinear multisplitting algorithms; quadratic convergence; quadratic matrix equations; Convergence; Equations; Newton method; Quadratic matrix equation; integral mean-value theorem; parallel multi-splitting;
  • 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.2010.5620555
  • Filename
    5620555
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=532450