Geodesic
Direct methods of minimization in the problem of estimating the measure of incompatibility of operator equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 35 (1995) no. 2, pp. 282-293 
A. M. Levin; G. V. Filatova. Direct methods of minimization in the problem of estimating the measure of incompatibility of operator equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 35 (1995) no. 2, pp. 282-293. http://geodesic.mathdoc.fr/item/ZVMMF_1995_35_2_a8/
@article{ZVMMF_1995_35_2_a8,
     author = {A. M. Levin and G. V. Filatova},
     title = {Direct methods of minimization in the problem of estimating the measure of incompatibility of operator equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {282--293},
     year = {1995},
     volume = {35},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1995_35_2_a8/}
}
TY  - JOUR
AU  - A. M. Levin
AU  - G. V. Filatova
TI  - Direct methods of minimization in the problem of estimating the measure of incompatibility of operator equations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1995
SP  - 282
EP  - 293
VL  - 35
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1995_35_2_a8/
LA  - ru
ID  - ZVMMF_1995_35_2_a8
ER  - 
%0 Journal Article
%A A. M. Levin
%A G. V. Filatova
%T Direct methods of minimization in the problem of estimating the measure of incompatibility of operator equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1995
%P 282-293
%V 35
%N 2
%U http://geodesic.mathdoc.fr/item/ZVMMF_1995_35_2_a8/
%G ru
%F ZVMMF_1995_35_2_a8

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

[1] Morozov V. A., “O vychislenii nizhnikh granei funktsionalov po priblizhennoi informatsii”, Zh. vychisl. matem. i matem. fiz., 13:4 (1973), 1045–1049 | MR | Zbl

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

[3] Kochikov I. V., Matvienko A. N., Yagola A. G., “Obobschennyi printsip nevyazki dlya resheniya nesovmestnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 24:7 (1984), 1087–1090 | MR | Zbl

[4] Tikhonov A. N., Goncharskii A. V., Stepanov V. V., Yagola A. G., Chislennye metody resheniya nekorrektnykh zadach, Nauka, M., 1990 | MR

[5] Levin A. M., “O regulyarizatsii vychisleniya nizhnikh granei funktsionalov”, Zh. vychisl. matem i matem. fiz., 24:8 (1984), 1123–1128 | MR | Zbl

[6] Levin A. M., “O vychislenii mery nesovmestnosti operatornykh uravnenii I roda”, Zh. vychisl. matem. i matem. fiz., 26:4 (1986), 499–507 | MR | Zbl

[7] Levin A. M., “O modifikatsii metodov Nyutona i sekuschikh i ikh primenenii v regulyarizuyuschikh algoritmakh”, Zh. vychisl. matem i matem. fiz., 28:8 (1988), 1123–1134 | MR

[8] Levin A. M., “Iteratsionnyi algoritm opredeleniya parametra regulyarizatsii v metode naimenshei otsenki nevyazki”, Zh. vychisl. matem. i matem. fiz., 31:1 (1991), 151–153 | MR

[9] Ioffe A. D., Tikhomirov V. M., Teoriya ekstremalnykh zadach, Nauka, M., 1974 | MR | Zbl

[10] Vasilev F. P., Metody resheniya ekstremalnykh zadach, Nauka, M., 1981 | MR

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

[12] Ekland I., Temam R., Vypuklyi analiz i variatsionnye problemy, Mir, M., 1979 | MR

[13] Minu M., Matematicheskoe programmirovanie, Nauka, M., 1990 | MR

[14] Karmanov V. G., Matematicheskoe programmirovanie, Nauka, M., 1986 | MR

[15] Fletcher R., Reeves C. M., “Function minimization by conjugate gradients”, Comput. J., 7:2 (1964), 149–154 | DOI | MR | Zbl