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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{SJVM_2008_11_2_a4,
     author = {A. S. Leonov},
     title = {On elimination of accuracy saturation of regularizing algorithms},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {167--186},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2008_11_2_a4/}
}
TY  - JOUR
AU  - A. S. Leonov
TI  - On elimination of accuracy saturation of regularizing algorithms
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2008
SP  - 167
EP  - 186
VL  - 11
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_2008_11_2_a4/
LA  - ru
ID  - SJVM_2008_11_2_a4
ER  - 
%0 Journal Article
%A A. S. Leonov
%T On elimination of accuracy saturation of regularizing algorithms
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2008
%P 167-186
%V 11
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_2008_11_2_a4/
%G ru
%F SJVM_2008_11_2_a4
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/