Some Approximated Solutions for Operator Equations by Using Frames
- Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Kerman, Iran.
In this paper we give some approximated solutions for an operator equation \(Lu=f\) where \(L: H\rightarrow H\) is a bounded and self adjoint operator on a separable Hilbert space \(H\). We use frames in order to precondition the linear equation so that convergence of iterative methods is improved. Also we find an exact solution associated to a frame and then we seek an approximated solution in a finite dimensional subspace of \(H\) that is generated by a finite frame sequence.
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H. Jamali, Some Approximated Solutions for Operator Equations by Using Frames, Journal of Mathematics and Computer Science, 12 (2014), no. 2, 105-112
Jamali H., Some Approximated Solutions for Operator Equations by Using Frames. J Math Comput SCI-JM. (2014); 12(2):105-112
Jamali, H.. "Some Approximated Solutions for Operator Equations by Using Frames." Journal of Mathematics and Computer Science, 12, no. 2 (2014): 105-112
- Operator equation
- Separable Hilbert space
- Approximated solution.
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