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Using canonical dual frames in adaptive Richardson iterative method for solving operator equations
-
Hassan Jamali
Published/Copyright:
June 11, 2013
Abstract.
In this paper we give some approximated solutions for an operator
equation 
where 
is a bounded bijection and a
self-adjoint operator on a separable Hilbert space H. We use
canonical dual frames in order to precondition the linear equation
so that convergence of iterative methods is improved and by
Richardson iterative method we approximate the solution of the
equation. We design an adaptive algorithm based on frames and the
Richardson iterative method.
Keywords: Operator equation; separable Hilbert
space; frame; Richardson iteration; adaptive solution
Received: 2013-02-19
Revised: 2013-05-25
Accepted: 2013-05-25
Published Online: 2013-06-11
Published in Print: 2013-10-01
© 2013 by Walter de Gruyter Berlin Boston
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Keywords for this article
Operator equation;
separable Hilbert
space;
frame;
Richardson iteration;
adaptive solution
Articles in the same Issue
- Masthead
- Using canonical dual frames in adaptive Richardson iterative method for solving operator equations
- On the existence of a resolvent of a class of singular mixed type differential operators in an unbounded domain
- A posteriori error estimates of a finite volume method based on the nonconforming rotated Q1 element for Stokes equations
- On weakly s-semipermutable subgroups of finite groups II
- Boolean sum of graphs and reconstruction up to complementation
