Geodesic
On elimination of accuracy saturation of regularizing algorithms
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 11 (2008) no. 2, pp. 167-186.

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A general approach to modification of well-known methods for the solution of linear ill-posed problems is proposed. The approach enables us to exclude a possible “saturation of accuracy” of methods on classes of sourcewise representable solutions. As a result, the modified methods possess the optimal order of accuracy on each of these classes. Numerical examples for the solution of 1D and 2D inverse problems are presented. 
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A. S. Leonov. On elimination of accuracy saturation of regularizing algorithms. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 11 (2008) no. 2, pp. 167-186. http://geodesic.mathdoc.fr/item/SJVM_2008_11_2_a4/

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