Geodesic
The minimum-residue principle in non-linear monotonic problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 5, pp. 777-781 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1991_31_5_a12,
     author = {I. P. Ryazantseva},
     title = {The minimum-residue principle in non-linear monotonic problems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {777--781},
     year = {1991},
     volume = {31},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_5_a12/}
}
TY  - JOUR
AU  - I. P. Ryazantseva
TI  - The minimum-residue principle in non-linear monotonic problems
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1991
SP  - 777
EP  - 781
VL  - 31
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_5_a12/
LA  - ru
ID  - ZVMMF_1991_31_5_a12
ER  - 
%0 Journal Article
%A I. P. Ryazantseva
%T The minimum-residue principle in non-linear monotonic problems
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1991
%P 777-781
%V 31
%N 5
%U http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_5_a12/
%G ru
%F ZVMMF_1991_31_5_a12
I. P. Ryazantseva. The minimum-residue principle in non-linear monotonic problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 5, pp. 777-781. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_5_a12/

[1] Bakushinskii A. B., Goncharskii A. V., Iterativnye metody resheniya nekorrektnykh zadach, Nauka, M., 1989 | MR

[2] Alber Ya. I., Ryazantseva I. P., “O reshenii nelineinykh zadach s monotonnymi razryvnymi otobrazheniyami”, Differents. ur-niya, 15:2 (1979), 331–342 | MR

[3] Vainberg M. M., Variatsionnyi metod i metod monotonnykh operatorov, Nauka, M., 1972 | MR | Zbl

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

[5] Leonov A. S., “K obosnovaniyu vybora parametra regulyarizatsii po kriteriyam kvazioptimalnosti i otnosheniya”, Zh. vychisl. matem. i matem. fiz., 18:6 (1978), 1363–1376 | MR | Zbl

[6] Tikhonov A. N., Glasko V. B., Kriksin Yu. A., “K voprosu o kvazioptimalnom vybore regulyarizovannogo priblizheniya”, Dokl. AN SSSR, 249:3 (1979), 531–535 | MR

[7] Glasko V. B., Kriksin Yu. A., “O printsipe kvazioptimalnosti dlya lineinykh nekorrektnykh zadach v gilbertovom prostranstve”, Zh. vychisl. matem. i matem. fiz., 24:11 (1984), 1603–1613 | MR | Zbl

[8] Bakushinskii A. B., “Zamechaniya o vybore parametra regulyarizatsii po kriteriyu kvazioptimalnosti i otnosheniya”, Zh. vychisl. matem. i matem. fiz., 24:8 (1984), 1258–1259 | MR

[9] Tikhonov A. N., “O zadachakh s netochno zadannoi iskhodnoi informatsiei”, Dokl. AN SSSR, 280:3 (1985), 559–562 | MR | Zbl

[10] Ryazantseva I. P., “O kvazioptimalnom vybore parametra regulyarizatsii pri reshenii nelineinykh uravnenii s monotonnymi operatorami”, Zh. vychisl. matem. i matem. fiz., 26:11 (1986), 1731–1735 | MR | Zbl

[11] Ryazantseva I. P., “Ob odnom algoritme resheniya nelineinykh monotonnykh uravnenii s neizvestnoi otsenkoi oshibki vkhodnykh dannykh”, Zh. vychisl. matem. i matem. fiz., 29:10 (1989), 1572–1576 | MR

[12] Tanana V. P., Korshunov V. A., Shtarkman A. A., “Printsip minimalnykh nevyazok v reshenii nekorrektnykh zadach”, Issl. po funkts. analizu, Izd-vo UGU, Sverdlovsk, 1978, 99–104 | MR

[13] Rockafellar R. T., “Local boundedness of nonlinear monotone operators”, Michigan Math. J., 16:4 (1969), 397–407 | DOI | MR | Zbl

[14] Liskovets O. A., Variatsionnye metody resheniya neustoichivykh zadach, Nauka i tekhn., Minsk, 1981 | MR | Zbl

[15] Lions Zh.-L., Nekotorye metody resheniya nelineinykh kraevykh zadach, Mir, M., 1972 | MR

[16] Rockafellar R. T., “On the maximality of sums of nonlinear monotone operators”, Trans. Amer. Math. Soc., 149:1 (1970), 75–88 | DOI | MR | Zbl

[17] Ryazantseva I. P., “Vybor parametra regulyarizatsii dlya nelineinykh uravnenii s monotonnym priblizhenno zadannym operatorom”, Izv. vuzov. Matematika, 1982, no. 9, 49–53 | MR | Zbl