# Some Approximated Solutions for Operator Equations by Using Frames

Volume 12, Issue 2, pp 105-112
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### Authors

H. Jamali - Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Kerman, Iran.

### Abstract

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.

### Share and Cite

##### ISRP Style

H. Jamali, Some Approximated Solutions for Operator Equations by Using Frames, Journal of Mathematics and Computer Science, 12 (2014), no. 2, 105-112

##### AMA Style

Jamali H., Some Approximated Solutions for Operator Equations by Using Frames. J Math Comput SCI-JM. (2014); 12(2):105-112

##### Chicago/Turabian Style

Jamali, H.. "Some Approximated Solutions for Operator Equations by Using Frames." Journal of Mathematics and Computer Science, 12, no. 2 (2014): 105-112

### Keywords

• Operator equation
• Separable Hilbert space
• Frame
• Approximated solution.

•  47A50
•  42C15

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