Special regularizing methods for ill-posed problems with sourcewise represented solutions
- 1 December 1998
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 14 (6), 1539-1550
- https://doi.org/10.1088/0266-5611/14/6/012
Abstract
In this paper we propose new special versions of the discrepancy method, the quasisolution method and the Tikhonov method for the case when we possess the additional a priori information that the solution of an ill-posed problem has a source representation. In the methods presented no saturation occurs. All these methods are optimal in order of accuracy. They can be numerically implemented.Keywords
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