Geodesic
On the order-optimality of the projection regularization method in solving inverse problems
Sibirskij žurnal industrialʹnoj matematiki, Tome 7 (2004) no. 2, pp. 117-132.

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

@article{SJIM_2004_7_2_a11,
     author = {V. P. Tanana},
     title = {On the order-optimality of the projection regularization method in solving inverse problems},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {117--132},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2004_7_2_a11/}
}
TY  - JOUR
AU  - V. P. Tanana
TI  - On the order-optimality of the projection regularization method in solving inverse problems
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2004
SP  - 117
EP  - 132
VL  - 7
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2004_7_2_a11/
LA  - ru
ID  - SJIM_2004_7_2_a11
ER  - 
%0 Journal Article
%A V. P. Tanana
%T On the order-optimality of the projection regularization method in solving inverse problems
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2004
%P 117-132
%V 7
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2004_7_2_a11/
%G ru
%F SJIM_2004_7_2_a11
V. P. Tanana. On the order-optimality of the projection regularization method in solving inverse problems. Sibirskij žurnal industrialʹnoj matematiki, Tome 7 (2004) no. 2, pp. 117-132. http://geodesic.mathdoc.fr/item/SJIM_2004_7_2_a11/

[1] Tanana V. P., “O novom podkhode k otsenke pogreshnosti metodov resheniya nekorrektno postavlennykh zadach”, Sib. zhurn. industr. matematiki, 5:4 (2002), 150–163 | MR | Zbl

[2] Ivanov V. K., Vasin V. V., Tanana V. P., Teoriya lineinykh nekorrektnykh zadach i ee prilozheniya, Nauka, M., 1978 | MR

[3] Alifanov O. M., Artyukhin E. A., Rumyantsev S. V., Ekstremalnye metody resheniya nekorrektnykh zadach, Nauka, M., 1988 | MR | Zbl

[4] Ivanov V. K., Korolyuk T. I., “Ob otsenke pogreshnosti pri reshenii lineinykh nekorrektnykh zadach”, Zhurn. vychisl. matematiki i mat. fiziki, 9:1 (1969), 30–41 | MR | Zbl

[5] Tanana V. P., Metody resheniya operatornykh uravnenii, Nauka, M., 1981 | MR

[6] Danford N., Shvarts Dzh. T., Lineinye operatory. Spektralnaya teoriya, Mir, M., 1966

[7] Lavrentev M. M., Savelev L. Ya., Teoriya operatorov i nekorrektnye zadachi, Izd-vo In-ta matematiki, Novosibirsk, 1999 | MR

[8] Rudin U., Funktsionalnyi analiz, Mir, M., 1975 | MR

[9] Tanana V. P., Rekant M. A., Yanchenko S. I., Optimizatsiya metodov resheniya operatornykh uravnenii, Izd-vo Uralsk. gos. un-ta, Sverdlovsk, 1987 | MR | Zbl

[10] Ditkin V. A., Prudnikov A. P., Integralnye preobrazovaniya i operatsionnoe ischislenie, Nauka, M., 1961