Regularizing conjugate-direction methods
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 35 (1995) no. 4, pp. 486-498 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1995_35_4_a2,
     author = {S. F. Gilyazov},
     title = {Regularizing conjugate-direction methods},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {486--498},
     year = {1995},
     volume = {35},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1995_35_4_a2/}
}
TY  - JOUR
AU  - S. F. Gilyazov
TI  - Regularizing conjugate-direction methods
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1995
SP  - 486
EP  - 498
VL  - 35
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1995_35_4_a2/
LA  - ru
ID  - ZVMMF_1995_35_4_a2
ER  - 
%0 Journal Article
%A S. F. Gilyazov
%T Regularizing conjugate-direction methods
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1995
%P 486-498
%V 35
%N 4
%U http://geodesic.mathdoc.fr/item/ZVMMF_1995_35_4_a2/
%G ru
%F ZVMMF_1995_35_4_a2
S. F. Gilyazov. Regularizing conjugate-direction methods. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 35 (1995) no. 4, pp. 486-498. http://geodesic.mathdoc.fr/item/ZVMMF_1995_35_4_a2/

[1] Tikhonov A. N., Arsenin V. Ya., Metody resheniya nekorrektnykh zadach, Nauka, M., 1979 | MR

[2] Vasilev F. P., Chislennye metody resheniya ekstremalnykh zadach, Nauka, M., 1980 | MR

[3] Starostenko V. I., Ustoichivye chislennye metody v zadachakh gravimetrii, Nauk. dumka, Kiev, 1978 | MR | Zbl

[4] Tikhonov A. N., Goncharskii A. V., Stepanov V. B., Yagola A. G., Regulyariziruyuschie algoritmy i apriornaya informatsiya, Nauka, M., 1983 | MR

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

[6] Morozov V. A., Grebennikov A. I., Metody resheniya nekorrektno postavlennykh zadach, Izd-vo MGU, M., 1992 | Zbl

[7] Shamanskii V. E., “O nekotorykh vychislitelnykh skhemakh iteratsionnykh protsessov”, Ukr. matem. zh., 14:1 (1962), 100–109

[8] Kammerer W. J., Nashed M. Z., “On the convergence of the eon jugate gradient method for singular linear operator equations”, SIAM J. Numer. Analys., 9:1 (1972), 165–181 | DOI | MR | Zbl

[9] Alifanov O. M., Rumyantsev S. V., “Ob ustoichivosti iteratsionnykh metodov resheniya lineinykh nekorrektnykh zadach”, Dokl. AN SSSR, 248:6 (1979), 1289–1291 | MR | Zbl

[10] Gilyazov S. F., “O regulyarizuyuschikh algoritmakh, osnovannykh na metode sopryazhennykh gradientov”, Zh. vychisl. matem. i matem. fiz., 26:1 (1986), 15–22 | MR | Zbl

[11] Nemirovskii A. S., “O regulyarizuyuschikh svoistvakh metoda sopryazhennykh gradientov na nekorrektnykh zadachakh”, Zh. vychisl. matem. i matem. fiz., 26:3 (1986), 332–347 | MR

[12] Gilyazov S. F., “Regulyariziruyuschii algoritm, osnovannyi na metode sopryazhennykh gradientov”, Metody i algoritmy chislennogo analiza, Izd-vo MGU, M., 1987 | Zbl

[13] Gilyazov S. F., “O regulyarizatsii lineinykh nesovmestnykh uravnenii v gilbertovykh prostranstvakh”, Metody i algoritmy chislennogo analiza, Izd-vo MGU, M., 1990

[14] Gilyazov S. F., “O nekotorykh svoistvakh regulyariziruyuschikh algoritmov v gilbertovykh prostranstvakh”, Chislennyi analiz: metody, algoritmy, programmy, Izd-vo MGU, M., 1991

[15] Tikhonov A. N., “O priblizhennykh sistemakh lineinykh algebraicheskikh uraznenii”, Zh. vychisl. matem. i matem. fiz., 20:6 (1980), 1373–1383 | MR | Zbl

[16] Morozov V. A., Regulyarnye metody resheniya nekorrektnykh zadach, Izd-vo MGU, M., 1974 | MR

[17] Akhiezer N. I., Glazman I. M., Teoriya lineinykh operatorov v gilbertovom prostranstve, v. 1, Izd-e 3-e, Vischa shkola, Kharkov, 1977

[18] Gilyazov S. F., Metody resheniya lineinykh nekorrektnykh zadach, Izd-vo MGU, M., 1987 | MR | Zbl