Exponential Inequalities in Stochastic Inverse Problems Using an Iterative Method |
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| Authors: | Abdelnasser Dahmani |
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| Affiliation: | Laboratory of Applied Mathematics, Univ. A/Mira BEJAIA, Bejaia, Algeria |
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| Abstract: | We consider an iterative method in order to solve linear inverse problems. We establish exponential inequalities for the probability of the distance between the approximated solution and the exact one for a calibration problem. The approximate is given by an iterative method with Gaussian errors. We treat an operator equation of the form Ax = u, where A is a compact operator. |
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| Keywords: | Cramer condition Gaussian measure Iterative method Linear operator Tikhonov regularization |
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