Geodesic
An upper bound for the regularization parameter for incompatible operator equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 8, pp. 1170-1179 
A. M. Levin. An upper bound for the regularization parameter for incompatible operator equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 8, pp. 1170-1179. http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_8_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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

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

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

[4] Goncharskii A. V., Leonov A. S., Yagola A. G., “Nekotoroe obobschenie printsipa nevyazki dlya sluchaya operatora, zadannogo s oshibkoi”, Dokl. AN SSSR, 203:6 (1972), 1238–1239

[5] Goncharskii A. V., Leonov A. S., Yagola A. G., “Obobschennyi printsip nevyazki”, Zh. vychisl. matem. i matem. fiz., 13:2 (1973), 294–302

[6] 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

[7] Morozov V. A., Regulyarnye metody resheniya nekorrektno postavlennykh zadach, Izd-vo MGU, M., 1974

[8] 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

[9] Gordonova V. I., Morozov V. A., “Chislennye algoritmy vybora parametra v metode regulyarizatsii”, Zh. vychisl. matem. i matem. fiz., 13:3 (1973), 539–545 | MR

[10] Vinokurov V. A., “Dva zamechaniya o vybore parametra regulyarizatsii”, Zh. vychisl. matem. i matem. fiz., 12:2 (1972), 481–483 | MR | Zbl

[11] Akhiezer N. I., Glazman I. M., Teoriya lineinykh operatorov v gilbertovom prostranstve, v. I, Vischa shkola, Kharkov, 1977

[12] 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