• Title of article

    USING FRAMES OF SUBSPACES IN GALERKIN AND RICHARDSON METHODS FOR SOLVING OPERATOR EQUATIONS

  • Author/Authors

    Jamali ، Hassan - ‎Vali-e-Asr‎ ‎University of Rasanjan‎ , Kolahdouz ، Mohsen - ‎Vali-e-Asr‎ ‎University of Rasanjan‎

  • Pages
    13
  • From page
    25
  • To page
    37
  • Abstract
    In this paper, two iterative methods are constructed to solve the operator equation Lu = f where L : H →H is a bounded, invertible and self- adjoint linear operator on a separable Hilbert space H. By using the concept of frames of subspaces, which is a generalization of frame theory, we design some algorithms based on Galerkin and Richardson methods, and then we investigate the convergence and optimality of them.
  • Keywords
    Operator equation , Frame , Frames of subspaces , Richardson method , Galerkin method
  • Journal title
    journal of mahani mathematical research center
  • Serial Year
    2015
  • Journal title
    journal of mahani mathematical research center
  • Record number

    2467273

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2467273