Geodesic
On a~new approach to error estimation for methods for solving ill-posed problems
Sibirskij žurnal industrialʹnoj matematiki, Tome 5 (2002) no. 4, pp. 150-163.

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

@article{SJIM_2002_5_4_a12,
     author = {V. P. Tanana},
     title = {On a~new approach to error estimation for methods for solving ill-posed problems},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {150--163},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2002_5_4_a12/}
}
TY  - JOUR
AU  - V. P. Tanana
TI  - On a~new approach to error estimation for methods for solving ill-posed problems
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2002
SP  - 150
EP  - 163
VL  - 5
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2002_5_4_a12/
LA  - ru
ID  - SJIM_2002_5_4_a12
ER  - 
%0 Journal Article
%A V. P. Tanana
%T On a~new approach to error estimation for methods for solving ill-posed problems
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2002
%P 150-163
%V 5
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2002_5_4_a12/
%G ru
%F SJIM_2002_5_4_a12
V. P. Tanana. On a~new approach to error estimation for methods for solving ill-posed problems. Sibirskij žurnal industrialʹnoj matematiki, Tome 5 (2002) no. 4, pp. 150-163. http://geodesic.mathdoc.fr/item/SJIM_2002_5_4_a12/

[1] Tikhonov A. N., “Ob ustoichivosti obratnykh zadach”, Dokl. AN SSSR, 39:5 (1943), 195–198 | MR

[2] Lavrentev M. M., O nekotorykh nekorrektnykh zadachakh matematicheskoi fiziki, Izd-vo SO AN SSSR, Novosibirsk, 1962 | MR

[3] Ivanov V. K., “O ravnomernoi regulyarizatsii neustoichivykh zadach”, Sib. mat. zhurn., 7:3 (1966), 546–558 | Zbl

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

[5] Strakhov V. N., “O reshenii lineinykh nekorrektnykh zadach v gilbertovom prostranstve”, Differents. uravneniya, 6:8 (1970), 1490–1495 | Zbl

[6] Vainikko G. M., “Otsenki pogreshnosti metoda posledovatelnykh priblizhenii dlya nekorrektnykh zadach”, Avtomatika i telemekhanika, 1980, no. 3, 84–92 | MR | Zbl

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

[8] Ivanov V. K., “O priblizhennom reshenii operatornykh uravnenii pervogo roda”, Zhurn. vychisl. matematiki i mat. fiziki, 6:6 (1966), 1089–1094 | MR | Zbl

[9] Morozov V. A., “O regulyarizatsii nekorrektno postavlennykh zadach i vybore parametra regulyarizatsii”, Zhurn. vychisl. matematiki i mat. fiziki, 6:1 (1966), 170–175 | MR

[10] Lyusternik L. A., Sobolev V. I., Elementy funktsionalnogo analiza, Nauka, M., 1965 | MR

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

[12] Tanana V. P., “O klassifikatsii nekorrektno postavlennykh zadach i optimalnykh metodakh ikh reshenii”, Izv. vuzov. Matematika, 1977, no. 11, 106–112 | MR

[13] Tanana V. P., Danilin A. R., “Ob optimalnosti regulyarizuyuschikh algoritmov pri reshenii nekorrektnykh zadach”, Differents. uravneniya, 12:7 (1976), 1323–1326 | MR | Zbl

[14] Ivanov V. K., Korshunov V. A., Reshetova T. N., Tanana V. P., “O vozmozhnosti opredeleniya energeticheskogo spektra boze-sistemy po termodinamicheskim funktsiyam”, Dokl. AN SSSR, 228:1 (1976), 19–22 | MR | Zbl