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

نویسندگان

  • Hassan Jamali Department of Mathematics‎, ‎Faculty of Mathematics and computer Sciences‎, ‎Vali-e-Asr‎ ‎University of Rasanjan‎, ‎Rafsanjan‎, ‎Iran‎.
  • Mohsen Kolahdouz Department of Mathematics‎, ‎Faculty of Mathematics and computer Sciences‎, ‎Vali-e-Asr‎ ‎University of Rasanjan‎, ‎Rafsanjan‎, ‎Iran‎.
چکیده

‎In this paper‎, ‎two iterative methods are constructed to solve the operator equation $ Lu=f $ where $L:Hrightarrow 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.

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عنوان ژورنال:

دوره 4  شماره 1

صفحات  25- 37

تاریخ انتشار 2017-06-19

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