• DocumentCode
    2230766
  • Title

    A semi-interior-point homotopy method for brouwer fixed-point

  • Author

    Haifu, Li ; Yufeng, Shang

  • Author_Institution
    Dept. of Electron. Inf. Eng., ChangChun Univ., Changchun, China
  • Volume
    4
  • fYear
    2010
  • fDate
    20-22 Aug. 2010
  • Abstract
    In this paper, a constraint shifting combined homotopy method for solving brouwer fixed-point problems with both equality and inequality constraints is presented. It needs not the starting point to be an interior point and even a feasible point and hence is convenient to use. Under some assumptions, existence and convergence of a smooth path to an efficient solution is proven. Simple numerical results are given.
  • Keywords
    convergence; convex programming; topology; Brouwer fixed-point problem; constraint shifting combined homotopy method; convergence; equality constraint; inequality constraint; semi-interior-point homotopy method; Artificial neural networks; IEL; Optimization; Brouwer Fixed-Point; Global Convergence; Homotopy Method; Semi-interior Point Method;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Advanced Computer Theory and Engineering (ICACTE), 2010 3rd International Conference on
  • Conference_Location
    Chengdu
  • ISSN
    2154-7491
  • Print_ISBN
    978-1-4244-6539-2
  • Type

    conf

  • DOI
    10.1109/ICACTE.2010.5579647
  • Filename
    5579647