Uniqueness for an ill-posed problem
β Scribed by Nicolas Lerner
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 224 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
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## Abstract An implicit iterative method is applied to solving linear illβposed problems with perturbed operators. It is proved that the optimal convergence rate can be obtained after choosing suitable number of iterations. A generalized Morozov's discrepancy principle is proposed for the problems,
Often, physically interesting functions are not directly accessible by an experiment, and must be calculat an experimental accessible quantity. If this calculation requires the inversion of a Fredholm integral equk ind, the determination of the physically interesting function is an ill-posed problem